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HomeMy WebLinkAboutBradley Lake Final Supporting Design Report Vol 4 1988Alaska Power Authority FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT BRADLEY LAKE HYDROELECTRIC PROJECT FEDERAL ENERGY REGULATORY COMMISSION PROJECT NO. P-8221-000 VOLUME4 CALCULATIONS Prepared By STONE & WEBSTER ENGINEERING CORPORATION MARCH 1988 TABLE OF CONTENTS TABLE OF CONTENTS FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 1 -REPORT VOLUME 2 -DESIGN CRITERIA VOLUME 3 -DAM AND SPILLWAY STABILITY ANALYSIS VOLUME 4 -CALCULATIONS VOLUME 5 -CALCULATIONS VOLUME 6 -CALCULATIONS VOLUME 7 -CALCULATIONS VOLUME 8 -CALCULATIONS VOLUME 9 -CALCULATIONS 0216R-4460R/CG i TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 1 REPORT 1.0 INTRODUCTION 2.0 DESIGN AND GENERAL TECHNICAL DATA 2.1 DESIGN 2.2 DESIGN LOADS 2.3 STABILITY CRITERIA 2.4 MATERIAL PROPERTIES 2.5 GENERAL TECHNICAL DATA 3.0 SUITABILITY ASSESSMENT 3.1 SPECIFIC ASSESSMENTS 4.0 GEOTECHNICAL INVESTIGATIONS 4.1 CHRONOLOGY OF INVESTIGATIONS 4.2 BORING LOGS, GEOLOGICAL REPORTS AND LABORATORY TEST RESULTS 5.0 BORROW AREAS AND QUARRY SITES 5.1 BORROW AND QUARRY AREAS 5.2 OTHER MATERIAL SOURCES 6.0 STABILITY AND STRESS ANALYSIS 6.1 GENERAL 6.2 DIVERSION TUNNEL INCLUDING INTAKE STRUCTURE 6. 3 MAIN DAM 6.4 SPILLWAY 6.5 POWER TUNNEL AND PENSTOCKS 6.6 POWERHOUSE/SUBSTATION EXCAVATION, COFFERDAM AND TAILRACE CHANNEL 6 • 7 POWERHOUSE 6.8 REFERENCES 7.0 BASIS FOR SEISMIC LOADING 7.1 GENERAL 7.2 SEISMOTECTONIC SETTING 7.3 SEISMIC DESIGN 0216R-4460R/CG ii TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 1 REPORT 8.0 SPILLWAY DESIGN FLOOD BASIS 8.1 STUDY METHODOLOGY 8.2 WATERSHED MODEL CALIBRATION 8.3 PROBABLE MAXIMUM FLOOD 8.4 SPILLWAY DESIGN FLOOD 8.5 MODEL TEST 9.0 BOARD OF CONSULTANTS 9.1 INDEPENDENT BOARD OF CONSULTANTS 9.2 FERC BOARD OF CONSULTANTS APPENDIX A Plates Exhibit F 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 Figures F.6.2-5 F.6.2-6 DRAWINGS Title General Plan General Arrangement -Dam, Spillway and Flow Structures Concrete Faced Rockfill Dam -Sections and Details Spillway -Plan, Elevations and Sections Power Conduit Profile and Details Intake Channel and Power Tunnel Gate Shaft -Sections and Details Civil Construction Excavation at Powerhouse -Plan Civil Construction Excavation at Powerhouse -Elevations 90 MW Pelton Powerhouse Construction Diversion -Sections and Details Main Dam Diversion -Channel Improvements General Arrangement -Permanent Camp and Powerhouse Barge Dock Powerhouse Substation and Bradley Junction Main One Line Diagram Martin River Borrow Area Waterfowl Nesting Area Powerhouse Access Roads Mean Horizontal Response Spectrum Design Accelerogram 0216R-4460R/CG iii TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 1 REPORT APPENDIX B ATTACHMENTS B.l Construction Schedule Contract Dates B.2 Meetings of the Independent Board of Consultants B.3 Meeting No. 1 Meeting No. 2 Meeting No. 3 Meeting No. 4 Meeting No. 5 Meeting No. 6 Meeting No. 7 Meeting No. 8 Meeting No. 9 Meeting No. 10 Meetings of the Meeting No. 1 Meeting No. 2 May 12 and 13, 1983 July 11 to 15, 1983 September 25 to 27, 1984 November 4 and 5, 1985 with response of November 25, 1985 January 28, 1986 May 6 to 8, 1986 with response dated May 21, 1986 August 12 to 14, 1986 with response dated October 20, 1986 December 8 to 10, 1986 Site Visit by Mr. A. Merritt on December 11, 1986 May 5 to 7, 1987 December 17 and 18, 1987 FERC Board of Consultants March 6 and 7, 1986 May 28 and 29, 1986 with response dated July 11, 1986 Hydraulic Model Test of Spillway July 9, 1986 Meeting No. 3 August 18 to 20, 1986 with response dated October 28, 1986 Meeting No. 4 Meeting No. 5 Meeting No. 6 Hydraulic Model Test Spillway and Diversion Tunnel August 29 and September 25, 1986 January 27, 1987 with response dated January 29, 1987 May 26 to 28, 1987 with response December 7 and 8, 1987 with response 0216R-4460R/CG iv TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 2 DESIGN CRITERIA 1.0 Civil Design Criteria 2.0 Geotechnical Design Criteria 3.0 Structural Design Criteria Part A General Design Criteria Part B Special Requirements for Major Structures Section 1. Main Dam Diversion Section 2. Main Dam Section 3. Spillway Section 4. Power Tunnel Lining, Intake and Gate Shaft Section 5. Steel Liner and Penstock Section 7. Tailrace 4.0 Hydraulic Design Criteria 1. Main Dam Diversion 2. Tailrace 3. Hydraulic Turbines, Governors and Spherical Valves 4. Spillway 5. Power Intake, Tunnel and Penstock 5.0 Architectural Design Criteria 0216R-4460/CG v TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 3 DAM AND SPILLWAY STABILITY ANALYSIS DAM STABILITY REPORT Section Section Title 1.0 INTRODUCTION 1.1 PURPOSE 1.2 SCOPE 1.3 DAM SAFETY CRITERIA 2.0 DESCRIPTION OF PROJECT FEATURES 2.1 GENERAL 2.2 MAIN DAM 2.3 UPSTREAM COFFERDAM 3.0 DESIGN EARTHQUAKE REGIME 3.1 SEISMOTECTONIC SETTING 3.2 DESIGN RESPONSE SPECTRA 3.3 ACCELEROGRAM DEVELOPMENT 4.0 ALTERNATIVE METHODS OF ANALYSIS 4.1 GENERAL STABILITY CRITERIA 4.2 PSEUDOSTATIC METHOD 4.3 SARMA/NEWMARK METHOD 4.4 FINITE ELEMENT METHOD 4.5 SELECTION OF SARMA METHOD 5.0 SARMA ANALYSIS METHODOLOGY 5.1 MATERIALS PROPERTIES AND EARTHQUAKE SELECTION 5.2 LEASE II ANALYSIS 5.2.1 Static Analysis 5.2.2 Critical Circles and Accelerations 5.3 SARMA ANALYSIS 5.3.1 Data Requirements 5.3.2 Processing 5.3.3 Analytical Output 5.3.4 Significance of Results 6.0 BRADLEY LAKE EMBANKMENT ANALYSES 6.1 EARTHQUAKE RECORDS 6.2 INPUT PARAMETERS 6.3 DESIGN CASES 6.4 LEASE II ANALYSES 6.5 SARMA ANALYSES 6.6 INTERPRETATION OF RESULTS 0216R-4460R/CG Vl TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 3 DAM AND SPILLWAY STABILITY ANALYSIS Section Section Title 7.0 8.0 6.7 6.7.1 6.7.2 6.7.3 6.7.4 6.7.5 6.7.6 6.7.7 6.7.8 6.8 7.1 7.2 7.3 7.4 SPECIAL STUDIES Megathrust (a = .55g) DBE (ah = .375g) Influence of Downstream Berm Failed Concrete Face Varying Embankment Height Planar Slip Surfaces La Union Accelerogram Parametric Analyses COFFERDAM CONCLUSION CRITICAL CASES SUMMARY OF CRITICAL FAILURE SURFACES PREDICTED DISPLACEMENTS RESPONSE TO VARIOUS EVENTS BIBLIOGRAPHY LIST OF FIGURES Figure Title 1 Project Location Map 2 Main Dam Area -General Arrangment 3 Main Dam Sections 4 (Not Used) 5 MCE Response Spectra -Mean and Chosen 6 Rockfill Friction Angles 7 Intermediate av/ah Ratio 8 Selected Sliding Surfaces -Main Dam 9 Critical Acceleration Plots 10 Permanent Deformation Plots 11 MCE Response/Displacement Plots 12 Megathrust Response/Displacement Plots 13 DBE Response/Displacement Plots 14 Flow Through Dam Without Face 15 Dam Height vs. Acceleration and Displacement 16 Wedge Stability: Sloped Sliding Planes 17 Wedge Stability: Horizontal Sliding Planes 18 La Union Response/Displacement Plots 19 Response Spectrum -La Union E-W Record 20 Response Spectrum -Taft Record 21 Arias Intensity 22 Taft Response/Displacement Plot 0216R-4460R/CG vii TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 3 DAM AND SPILLWAY STABILITY ANALYSIS SPILLWAY STABILITY REPORT Section 1.0 2.0 3.0 4.0 5.0 6.0 7.0 1.1 1.2 1.3 2.1 2.2 2.3 2.4 3.1 3.2 3.3 4.1 4.2 4.2.1 4.2.2 4.2.3 4.2.4 4.2.5 4.2.6 4.2.7 4.3 4.4 4.4.1 4.4.2 4.4.3 5.1 5.2 5.3 6.1 6.2 7.1 7.2 0216R-4460R/CG Section Title INTRODUCTION PURPOSE SCOPE SPILLWAY SAFETY CRITERIA DESCRIPTION OF PROJECT FEATURES GENERAL OGEE SECTION NON-OVERFLOW SECTIONS GEOLOGIC CONDITIONS DESIGN EARTHQUAKE REGIME SEISMOTECTONIC SETTING DESIGN RESPONSE SPECTRA ACCELEROGRAM DEVELOPMENT STABILITY CRITERIA GENERAL LOADS Deadweight Ice Hydrostatic Earthquake Wind Uplift Temperature LOADING CONDITIONS ACCEPTANCE CRITERIA Stability Requirements Minimum Allowable Stress Shear-Friction Factor of Safety METHODS OF ANALYSIS STATIC METHOD FINITE ELEMENT METHOD SARMA METHOD STATIC ANALYSIS STABILITY ANALYSIS RESULTS FINITE ELEMENT ANALYSIS STRESS ANALYSIS RESULTS viii Section 8.0 8.1 8.2 9.0 9.1 9.2 10.0 Figure 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0216R-4460R/CG TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 3 DAM AND SPILLWAY STABILITY ANALYSIS Section Title SARMA ANALYSIS STABILITY ANALYSIS RESULTS CONCLUSIONS CRITICAL CASES SUMMARY OF STABILITY CONDITIONS BIBLIOGRAPHY LIST OF FIGURES Title Project Layout Map General Arrangement -Main Dam Area General Arrangement -Spillway Project Response Spectra Hybrid Accelerogram Static Spillway Model Case I -Static Analysis-Base El 1124 Case II -Static Analysis-Base El 1124 Case IV -Static Analysis-Base El 1124 Finite Element Model -Base El 1160 Finite Element Model -Base El 1150 Finite Element Model -Base El 1124 Finite Element Analysis: Case III -Max. Tensile Stresses -Base El 1160 Finite Element Analysis: Case III -Max. Compressive Stresses -Base El 1160 Finite Element Analysis: Case V -Max. Tensile Stresses - Base El 1160 Finite Element Analysis: Case V -Max. Compressive Stresses -Base El 1160 Finite Element Analysis: Case III -Max. Tensile Stresses -Base El 1150 Finite Element Analysis: Case III -Max. Compressive Stresses -Base El 1150 Finite Element Analysis: Case V -Max. Tensile Stresses - Base El 1150 Finite Element Analysis: Case V -Max. Compressive Stresses -Base El 1150 Finite Element Analysis: Case III -Max. Tensile Stresses -Base El 1124 ix Figure 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0216R-4460R/CG TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 3 DAM AND SPILLWAY STABILITY ANALYSIS LIST OF FIGURES Title Finite Element Analysis: Case III -Max. Compressive Stresses -Base El 1124 Finite Element Analysis: Case V -Max. Tensile Stresses - Base E1 1124 Finite Element Analysis: Case V Max. Compressive Stresses -Base El 1124 SARMA Analysis Model, Ogee Sections -Sheet 1 SARMA Analysis Model, Ogee Sections -Sheet 2 SARMA Analysis Model, Non-Overflow Sections SARMA Analysis: Base El 1160 -Ogee SARMA Analysis: Base El 1150 -Ogee SARMA Analysis: Base El 1130 -Ogee SARMA Analysis: Base El 1124 -Ogee SARMA Analysis: Base El 1160 -Left Abutment SARMA Analysis: Base El 1124 -Right Abutment Spillway Stability Analysis Summary -Sheet 1 Spillway Stability Analysis Summary -Sheet 2 Spillway Stability Analysis Summary -Sheet 3 X HYDRAULIC TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 4 CALCULATIONS Calculation Title No. SPILLWAY CREST SHAPE H-027 FLOOD ROUTING-P.M.F. THROUGH SPILLWAY H-028 FLOOD ROUTING -FLOOD OF RECORD THROUGH H-033 BRADLEY LAKE & DIVERSION TUNNEL DESIGN THRUSTS -POWER PENSTOCK NEAR H-036 MANIFOLD SIMPLIFIED DAM BREAK ANALYSES AND WATER H-046 SURFACES PROFILES WAVE RUNUP AND FORCE ON DAM PARAPET H-048 TAILRACE CHANNEL SLOPE PROTECTION H-050 PROTECTION AGAINST WAVES FOR THE H-066 UPSTREAM COFFERDAM & POWER TUNNEL INTAKE ROCK PLUG ICE FORCE ON DAM PARAPET H-068 INVESTIGATION OF NEED FOR AERATION OF SPILLWAY FLOW H-077 RIPRAP DESIGN H-079 FILLING BRADLEY LAKE RESERVOIR H-081 0216R-4460R/CG xi TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 5 CALCULATIONS GEOTECHNICAL Title ROCK STRESS IN CIRCULAR TUNNEL LININGS AND SELECTION OF EXTERNAL WATER PRESSURE CRITERIA GROUND WATER SEEPAGE LOADS ON DIVERSION TUNNEL LINER VERIFICATION OF INTAKE GEOMETRY FOR THE POWER AND DIVERSION INTAKES AT THE BRADLEY LAKE RESERVOIR EXTERNAL ROCK & GROUND WATER LOADS ON POWER INTAKE AND GATE SHAFT STRUCTURES FINAL STABILITY ANALYSIS: BRADLEY LAKE MAIN DAM PENSTOCK -MANIFOLD THRUST BLOCK EMBEDMENT LENGTH AND STABILITY ANALYSIS ROCK MODULI FOR POWER TUNNEL TRANSIENT STUDY DESIGN OF ROCK SUPPORT FOR THE MAIN POWER INTAKE STRUCTURE PLINTH AND TOE SLAB GEOMETRY -MAIN DAM 0216R-4460R/CG xii Calculation No. G(Ak)-04 G(Ak)-08 G(Ak)-10 G(Ak)-22 G(D)-24 G(Ak)-29 G(Ak)-31 G(Ak)-35 G(D)-38 TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 6 CALCULATIONS GEOTECHNICAL Calculation Title No. GROUNDWATER INFLOW & LEAKAGE INTO POWER TUNNEL G(Ak)-41 EVALUATION OF SHEAR STRENGTH OF ROCK MASSES AT THE BRADLEY LAKE SITE G(Ak)-47 EVALUATION OF EXTERNAL LOADS ON POWER TUNNEL LINER G(Ak)-48 VERIFICATION OF CONFINEMENT TO PREVENT HYDRAULIC JACKING OF THE POWER TUNNEL G(Ak)-49 TAILRACE SLOPE STABILITY & PROTECTION G(A)-50 DESIGN OF ROCK BOLTS FOR DIVERSION G(A)-58 TUNNEL & GATE SHAFTS DAM TOE PLINTH LOADS G(A)-60 POWER TUNNEL INTAKE EXCAVATION DESIGN MANIFOLD & PENSTOCK THRUSTBLOCK STABILITY CONSIDERING SHEAR ZONE FEATURE POWERHOUSE CELLULAR SHEETPILE COFFERDAM STABILITY ANALYSIS EVALUATION OF CONCRETE LINER REQUIREMENTS FOR THE MAIN POWER TUNNEL MAIN DAM FACE SLAB DESIGN SPILLWAY: SARMA DISPLACEMENT ANALYSIS SPILLWAY OF THE UPSTREAM COFFERDAM TOE AND ABUTMENT PLINTH DOWEL EMBED. LENGTHS AND QUANTITIES 0216R-4460R/CG Xlll G -70 G -86 G(Ak)-89 G(Ak)-90 G(Ak)-93 G -98 G -104 G -106 TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 7 CALCULATIONS STRUCTURAL Title WIND LOADS FOR DESIGN CRITERIA SNOW & ICE LOADS FOR DESIGN CRITERIA SEISMIC DESIGN DATA MAIN DAM DIVERSION TUNNEL LINING AND GATE CHAMBER ANALYSIS POWER TUNNEL INTAKE POWER TUNNEL GATE CHAMBER AND LINING DESIGN AND ANALYSIS GATEHOUSE CONCRETE STRUCTURE 0216R-4460R/CG xiv Calculation No. SDC.l SDC.2 SDC.3 SC-133-3 SC-151-16 SC-152-21 SC-152-32 TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 8 CALCULATIONS STRUCTURAL Title DAM PARAPET MAIN DAM TOE PLINTH DESIGN SEGMENTS A, B, C, D ABUTMENT DESIGN SPILLWAY STABILITY ANALYSIS - STATIC ANALYSIS FINITE ELEMENT ANALYSIS OF SPILLWAY FOR SEISMIC LOAD COMBINED WITH DEAD WEIGHT, ICE THRUST, AND WATER LOADS SPILLWAY TRAINING WALLS 0216R-4460R/CG XV Calculation No. SC-191-26 SC-191-27 SC-191-29 SC-201-BA SC-201-34 SC-205-23 TABLE OF CONTENTS (Continued) FINAL SUPPORTING DESIGN REPORT GENERAL CIVIL CONSTRUCTION CONTRACT VOLUME 9 CALCULATIONS STRUCTURAL Calculation Title No. PENSTOCK AND MANIFOLD ANCHOR BLOCKS SC-261-25 MAIN DIVERSION & MAIN INTAKE BULKHEADS SS-132-2 MAIN DAM DIVERSION PENSTOCK DESIGN SS-134-12 POWER TUNNEL INTAKE TRASH RACKS SS-153-10 POWER PENSTOCK THRUST RINGS AND MISC. COMPONENTS SS-261-16A REQUIRED THICKNESS OF STEEL LINER UNDER INTERNAL AND EXTERNAL PRESSURE SS-261-17A STRESS ANALYSIS OF FLANGE WITH 108" INSIDE DIAMETER SS-261-17B LOCAL STRESSES DUE TO GEOMETRY DISCONTINUITY AT REDUCERS AND MITERED ELBOWS SS-261-17C REQUIRED THICKNESS OF ELLIPSOIDAL HEADS FOR PENSTOCK SS-261-17D STRESS ANALYSIS OF POWER PENSTOCK WYE BRANCH SS-261-17F PENSTOCK ACCESS FLANGE BOLTS SS-261-18 0216R-4460R/CG xvi HYDRAULIC CALCULATIONS 1.5010.64 IFRONTl CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE CLIENT S PROJECT PAGE I OF 5 nLASWA Powe, A\JitlOR\TY-BRP'!DLS'r LAwe l+rDt90EU::t:T~IC PRov. CALCULATION TITLE (Indicative of the Objective): SPILLWAY (REST SHf'IP&" CALCULATION IDENTIFICATION NUMBER J .. 0. OR W.O NO. DIVISION & GROUP # 15800.0~ H CURRENT CALC. NO. 02-.7 OPTIONAL TASK CODE QA CATEGORY (V) 0 I-NUCLEAR SAFETY RELATED on om~ N/a OTHER OPTIONAL WORK PACKAGE NO. *APPROVALS-SIGNATURE E. DATE REV. NO. SUPERSEDES CONFIRMATION INDEPENDENT OR NEW *CALC. NO. *REQUIRED (v') PREPARER(S)/OATE(S) REVIEWER(S)/DATE (S) REVIEWER(S)/OATE(S) CALC NO. OR REV. NO. YES NO 0 DISTRl BUT ION* I l COPY I I COPY GROUP I NAME E. LOCATION SENT GROUP I NAME & LOCATION I SENT I I (.,1) I I (v') RECORDS MGT. : ftRE. FtLE. 11NCtiORtlC1{" v I I FILES (OR FIRE I I FILE IF NONE) r~H1.-Joe \)\t Rt,2.. : / I I I I I I I I I I I I I I I I I I I I I I I I I I I I l I I I S fONE &. WEI:lSTEH ENGII'.EEHtNG GUhPuHA i tUf• CLIENT /PRq..I..ECT H I"'L QA CATE99RY I CODE CLASS F\LF\slfA l-'owr=R AvTHORn'f-\5Rf\DU=-Y l.A'rf~S '1 DROELEC.TRIC rnoJ76Ci-N !A SUBJECT /TITLE SPILLWAY CREST 51-1APE'" OBJECTIVE OF CALCULATION 0ETERMIAJ& COOROIPVPrrtS A~D R~D\ I TO DE'f=t~c 11\E NftPPE-SHAreD SPlLI...WP\Y CREST ?ROF!L.E. CALCULATION METHOD/ASSUMPTIONS SOURCES Of DATA I EQUATIONS CD DESI&t-J OF StiPILL. DAM) u.s Gv~EAv of RGCLAMATiou REVISED REPRIA.IT 1977 @ Cf\LC No. 02.8 ; D\v.-H J.O. 15800,08 1' FLooD RO\Jitll&-p. n.F. THKOV&H 5Plt..<,WIW " CONCLUSIONS SGE r 4 Fo~ D/s c.RE.)T srt~. SsE P. 5 FoR. v/5 c.. RES! S\-\APe. REVIEWER (S) COMMENT$ PREPARER DATE REVIEWER /CHECkER DATE INDEPENDENT REVIEWER DATE 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 2 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET & 5010 65 CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. DIVISION & GROUP CALCULATION NO. OPTIONAL TASK CODE # 1ssoo.og H 02.7 CALCULATION INDEX CAL(ULATION 1iTLE PAG'€ (AlCUL.ATIDPJ SUMMARY CALC V!.-1117 0 N l"N 0 SX DETCI\{"tlfJP\1701J Of D/S CRE"ST S'rl~Pf OcTERMI~IlT/ON oF u;s C.R8'ST SrtAPt: PA&-e \ 2. 3 4 5 PAGEl 374 .'- ··~ fR0/1 f. )74 OF ) DESIGN OF SMALL DAMS ·( ~ er CD) 11177 ~tr::Pf\IJJr 0 .c: /Water surface upstream from weir drowdown ------------~~~~~--- cYS CRE:)T COORtiNf\TE".S! ..... REf.®~ ~ j Q -CH~12= 3.95 (IO.c,\~ IJG..31J, I --.._ Va =-q-p t h0 '} r. :.f> ~~ @) 'o ' Q.l .. .c: : .c:~ u..: 1 C: I• L!) :·~ ~ l ~ I /Origin and apex of crest : I-I I I I. I I I ; t<--Xc-·T?'--------X --------"i ..:L..+--r-...;_ ----: .....-------X ,..{ I • I "'I v/S fACG 3 HD". ~-\0 VG~T­ := o.~ Ho~.S.. 3 VEftT. l Yc./ ~---' • >-< R1 , r ',:1, \ ' I : : I (R''' I :Y I 2 "\ : : 'w... ' I 1 , ·~ r 1 ' __ y_ a..~"' ' I II "l I \ I Upstream' face- • I .. : 3 •I I I I I (A} ELEMENTS OF NAPPE-SHAPED CREST PROFILES 0. 56 0. 52 1).50 :X:: 2. 0 .48 0 44 88 .84 c::: 80 1.76 172 0 0.04 008 0.12 0.16 I I 3:3 I r-2:3 :::::::::: ~-:---:: :::::::::-,_ Vertical and f:3 --!--~ i ---......._ ! ---I ; 03~ VALUES OF K I ().0\(( I -r,-_ j -r--,.._ I ~ ~ -::-.r o.,H: ~\! -. -~ -:---r--!.:J ' ............. ! Sin · ~-~(; ._ Pslrearn f --~ J--.:.:-ace -2 h . l -.1-----..:: 1 Oflzonto/ to 3 vertical --.1.1_ . ' (Cl VALUES OF n ; ·- 0 004 0.08_ 0.12 0.16 t:-. -..;::: ~ t--, r--- I .,.- - 0.20 0.56 052 . -... 048 - 0.44 1.88 1.84 - 180 1.76 1.72 0.20 c:: U1 co 0 C) 0 co 0 < ·, ::I: ) .>-/ 0 Q.2+75 X" I ::t: H: ~ o.2.t75 :rc.~ o.z.47S(to.c,) !?:c ~ z.~z.'J / ~ ) ·' o.on\ 0 0.04 0.011 He 0.12 0.16 0.20 0.28 ' ~"-. Apex of crest--------~ ['..... :-c----xc ... -.:~~ ........ r-t-------I ~u: \ I ' I ~ l I \ ::0 I 0.26 ,., \;\ J ....... Upstream face-, - rG ,(\ H: "'tV ...... , ' ' to' I Center of curvature for Re is \ '... \ J 'R.:EE.barrrfmo v..-t---:h ',\ I """-....!rt: located at intersection of ' I ..,i_ -~r arcs ob and cd. ... , , I ra \ I 1., 0.2'4 --, h ,c \:(1;' "--!...! Orizon "'-Q \ J I --. ..!E!...t. '!... 3 ·' "' \lei'" \If --ter'fi:. ""' 'I• :::-: •. !.feat LOCATION OF CENTER FOR R2"' I ............ "" 0.22 II ~ "' 2:3 """-......... i"-~ """' ....._ 0.20 ............... ......_ "' 3:3 -......... "' ~ ;=:J:: -!--::---.... ~ .......... -.__ !dl VALUES OF Xc -r-_ ............. ~ ...... ....... h-... r---. -..____ I I I--~ t-......""" 0.12 I ' -----.J..._ -.......... ~ 0-. I ............ -r--~ ....... ~ I i ............._ --r---._ ___ ...... ~ ' ~ r--------..__ ~ 0.10 ! ~~'fica I'" ~o;=n ~'" -r-------- -f'! o.oC)JJ \fc~o.o133Uo·0 o 3 ,0~ J --t --....;, ' -------" ~IX' o53C.:. -te 0.5)C, R. ,_. o.S3~(to-&) lR\'!5.(;8' I ~t ::(?.j(,[_ ) R~ -:.Q.IGZ.(IO·Co) I Rz.:: .1.72'1 Q,((o 0.08 3:3 0.04 I --r-- I• I ----..____ -y fO~ -t------0.55 ----._.....__ ~ R }:; ...._1-0·"1 ~3Y ...... -----t or ......_ ~ .!..e{.!!.:ol ----~ """' r--- o.so -""' -....... -....._ ~ --r--. ....... ooi'l-' _,.. R1 For 3:3 -~ ~\ _,.,..,. ....... 0.45 Rz For ;,:3=0V -r-......... I ~ -....... : """' '\. ~ ">... """" '\. 0.40 I ,~, ! / .. , """" '\. I / ' v ·.; ....... l / :?Q ...... 0.35 i ./ ......__ / """" ' L' I / 0.30 'l.'•~ / v yOt/ ~y ......... 0.25 / L ........ L' ....... .......... Rr For vertical .... ---0.20 .0·'1 !11 • .> · r !t.--~ If l VALUES OF R1 At-ID R 2 '2.. _,.. ~for\~'?» 0.15 _. ,.-R~ i v I I o o.dm 0.04 0.08 0.12 . 0.16 0.20 0.24 0.22 0.20 0.18 0.16 0.08 0.06 0.04 0.02 0.50 0.45 0.40 0. 35 0.30 0.25 0.20 0.15 Figure 247. Factors for definition of nappe-shaped crest profiles. 288-D-2407. (Sheet 2 of 2.) FRon P .375 ) REr. CD "l 0 x::t: ~uJ~ "\.· ) ( " 0 co .. n ~ 0 [j '\ ·, ... ·"" I •. .I STONE €. WEBSTER ENGINEERING CORPORATION CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE .t. 5010.64 IFAONTl CLIENT 6. PROJECT , A~snA PoWEf\ 7\uTHORrrY -\3RI>lDLE.Y lf\tre H'<oR.OeLECTRIC fi:\oJEtT CALCULATION TITLE (Indicative of the Objective)• fLooD RouTING-- P,(Vi.F. TttROUfrH 5PILL.WflY CALCULATION IDENTIFICATION NUMBER CURRENT OPTIONAL J. 0. OR W.O. NO. DIVISION 6. GROUP CALC. NO. TASK CODE w 15800.0! H 02.5 *APPROVALS-SIGNATURES. DATE REV. NO. OR NEW PAGE I OF 2.4 OA CATEGORY (V) 0 I -NUCLEAR SAFETY RELATED on: om[(' N/t) OTHER OPTIONAL WORK PACKAGE NO. SUPERSEDES CONFIRMATION *CALC. NO. *REQUIRED (V) REVIEWER(S)/DATE (S) INDEPENDENT PRE PARER (S)/DATE (S) REVIEWER(S)/DATE(S) CALC NO. OR REV. NO. YES NO T!MOTt1Y 0: HvG-~ A. ~G.h,~ /<.1'rJ.. 0 H~O.OIV / ~~i~ Jt.~~ CftL£ -009 r.o-t+soo ~-s. l'iQ6 DISTRIBUTION*' I I COPY I 1 COPY GROUP I NAME €. LOCATION I SENT GROUP I NAME 6. LOCATION I SENT I (\I) I I {v') RECORDS MGT. I fr ~e: F1LE • f\NctfMrt<l8 v I I FlLES{OR FIRE I I I I FILE IF NONE) :ORIG-.-Vo6 Blf.Rt.z. I / I I I I I I I I I I I I I I I I I I I I I I I I I I I I I ! I I I . ' STONE & WEBSTER ENGINEERING CORPORATION REVISION 0 (-"' sUBJECT /TITLE FLooo RouTtAJo-_ (( p. r'L F. THROUfr\1 SPILLI,(JA'f OBJECTIVE Of CALCULATIOM ~O\llt -me ~RoBftBte= /1NtMUM fioo11 TrlRoua-ti \:>RiiOt...Ey LArrs- oveR-THe S?IU-Wf\'1' • REVIEWER /CHECKER IMOEPENOt:NT REVIEWER DATE DATE ---- ~"---··-~~--~--- 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 ('.'. 20 \_ 21 45010 65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. DIVISION & GROUP CALCULATION NO. OPTIONAL TASK CODE # 15800.08 H Cf\LC.VLAT\0~ TITLE PAGE" CALCVLATIOAI SUM/1ARY CF\1-tVL.ATION INDex SP!LLW f\; y DR Pl!JJ 1~6-- 02.8 Roc.K G>NTVIJR {'11,P ) SPILLWI\Y V1C!AJ1TY DEVELOP EQUAllOAJ FoR 0 ISCH ~RG'C AS f (He) FtRST Ro\l'n~fT \S.Re'r = 110~) MPrX, Q FROI1 Mtf>ttE fORK= 400c F5J 6-\I \2-lt 22 CmlSICERPITIOAI Of P\oOIT!ONFfl.. fLoVJ FRoM MI.DPL£ FoRn DtveR>toN 15-17 23 24 ADPITIOAIS TD PMF INfLOW DUE 11 P\Dth. MIDOlf f&RK fUW \7-18 26 St-coND ROVTI~G-~EST=J7S'1 M~-Q FRoM M1~REfDRI\' ~8COCF5] )~-22.. 27 28 ATTf\C~ME•T \-~ou1uHt P~DG~PtM FOR HPtsc. CAL.CUUfroR 23"'2+ 29 30 31 32 33 34 35 36 37 38 39 40 C>: 43 44 45 46 PAGE-..3_ \ ( # 15800.08 RM 31 N 2103971! RM 42 N 2103!114~ E 343448 RM 43 N 21031117 E 343~38 OH 1 N 21037~0 E 34346!1 llH 33 N 2103774 E 343~84 DlV.- PLAN SCALE A II . . '---' '- ! EL l!95.0 ... : am5,o ~~ X y I I I l g~· -L. 75' I ------EL 11950 ;.I ____ _ ----RE~T EL 1180.0 I _ ... SECTION 1·1 10•3) SCALE 8 llASELIHE \ l - '-._ GROUT CURTA IN SECTION 3-3 IB ·2) r I ::::=r= I ---x SECTION 5-5 I 0 ·21 Yc UPSTREAM FACE UIS CREST'* XC.: 2.62* Yc; 0.99' R1r~.6e• R2: '· 72 I UPSTREAM FACE ·; y I I I • SCALE B DETAIL A CK •3) NTS X DOWNSTREAM FACE ·TANGENT CURVE INTERSECT PC I 0 t6ASELINE I ~~ SEE DETAIL A (H. 9) FOR CREST OUT LHIE CREST El. 11!1!1f-/ to[-.l:::. GROUT HOLt: ITYP) SECTION 2 • 2 I B • 2) SCALE B tSASELINE OETAl. A CREST EL 118C¥,.+:::(" /CLEANOUT . 02.8 RAIN /EL1l!5!5.0 j GROUT CURTAIN/ SECTION 4-4 IC·2l SCALES * NOTES' DIS CREST COORO•.NATES 1. ALL ROCK CUTS SHALL BE VERTICAL UOS. X 1 Y 0 I 0 t.oo o.o1 2.00 0.24 3.00 0.!52 4.00 0.88 ~-00 1 1.33 6.00 1,86 7.00 2.4 7 e.oo 3.16 9.00 3.93 10.00 4.7~ g:gg I~~~ 13.00 ,7. 76 14.00 890 1!5.07 10.19 TANGENT j :i.~7i'R1.ECT DIS CURVE COOROII~ X PC! 22.42 19.)', PI! 26.92 25.0) PT I 34,13 2~.0·~ PC2 35.41 3!5.6~ Pl2 42,92 4!5.00 PT2 !54.93 4~.00 20 40 1f FROt1 REF® PRELIMINARY FOR COMMENTS ONLY SPILLWAY STUDY ARRANGEMENT BRADLEY LAKE HYDROELECTRIC POWER PAO.ECT SCALE 8;. 1•:: 20" ALASKA iOOW£111 A.UT!tOIIITY 0 40 80 Stone It w .. bater E.nglnecrlng Corporation ---- :c \ ";:> -0 ro 0 0 0 co I.C\ r-t ~ ----------- ( /' / ------· --·---.. _, .. ,, . .,w••··------.. --·----•• ---~-.. -~ ---------··----- '· 65010 65 2 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER 3 Dc.vaoP EavATtON foR 01SCHARCJ"E tN Tl=~f13 oF ONE 4 5 \)Aft 1 f'\B U?, TO~ L \-tEfrD : 6 7 8 ~e:. ®, r. 37J 2 G1v 8 ro~ DlSCHtrft(]E c\)Eft mJ uNcoAJ110LLE"P 9 OIJGl\flOl() O&Eto CR55T [: 10 II 12 (E~. A) Q= C.LH(Ye.l \})He~~ a= o,sct-tM<J'G" 13 14 15 Q == (\ V Ml ff.(jLG" CO EF. 0 f Dl 5 C lt/tff'C% l-= E.FF€'Ci1VE Lt:tJcrTH Df C!t61 16 17 18 19 PAGE~ ( ··:-··. 20 ,/ 21 '· ./ H! =Tom rtG""~D oN CRC3r) ;NC.LJ)~ tN~ V ruClTY 0 r APPRO ftC H /'tE1rl1; )1~ . :s; Sfli.WJf'1'( Sl1cn H 0 N p, 4-. -~·-........... 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 43 44 45 46 Str-JCe We ltrW~Z ~o PtE'RS) FftOtl l'tef.@ 1 p.373, t?a.\4-) : L = L'-2. \'\o. He _ \ ~R )f:(ONO ~OIJil Al6-f-14 ff;J L' = ~er LG'AJ011t oF eRc;r = /70' L11tts wiLL-ttl~~ ~ t75' M"~ = Ao~rM~r COJJflttra10J.J CObr. ~ O· I 0 l_SOJCG We /rtE: VStl» ftOUI\)DS> t'r13trr!7Gllr NITH ~WIJU..@ ~0' TlJ Ol~&nOAJ DF FWW 1 WtfcttE 06H, ~ r~ o.t5H, ~l)~ ~IU)llJ5 r: +' f'rW {):,)/#} /tilr!J 11(1: {Q,(, I :I (p~. APPUE) ] He -:: Torn. lfl="-M bAJ CR~T > 16 ABOV~ :. L =-l7D -Z ( o ·I o) Ht ( ~· ~) I L = 170-o.zo He I FoR c. Vf<L\J£ : ~eF. ®) ~P 373-3 7& usr) 4 ~c11>~s WttlcH PrFFc-cT nns: ..... --.------····-~--------------~---------~-·------------------------------------ ' ' 2 3 4 5 6 1 B 9 10 I I 13 14 15 16 17 18 ( '',, ~: \___,./ 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 (.--,' 41 J42 43 44 45 46 ... 5010 65 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER (l) E'FfEtT Of DePrH OF f'PPtrOftCft. PAGEl f1<r. '2.4'1 ) P.) 76 G-1v6 DASI( coer. FO~ Df31l1N HB1l1l c~N'OI miJ 8.. V~Zt\10\L ~ \-frCE. W~.: ltf\Vc Dl8to-v Hb""M H' = JD .. G 1 , CfCtsT a.-= 11 so'. 5tNCE p VMitZ5 WG' WILL U56' fr WG7G1:t1FD /'iVGirfrtrr= P= (2ee sttsrnt l P. 5 ) 0 _ 9s(so)t-l80o)+21(Z7.5)+2.Z(zzs)t 14-(18-5) =3 6'-~s' \F'I'Ie -170 SfW ]~I :, ~~ = ~:;. , 3.7 1 ~5e Co = 3.~5 L2) EEFt=t:T oF ttbrrt>s (He_) D1f'Fe1(1 ~ 6-~on o es16N ltt:7ti> 6-t ()) IJ)t A}()--F/6-. 250 oJJ r. 178 frND CD= ].~s-{P!?drt 111.3tJr!(;) (,:.~ooucEO P. 10 H, = )o,c/ {tpE:SitJ1J ltbtTi>) 'ft1JO Tsf¥Vkf/OAJ FO~ THE CURVE so 1l111T C =-f(He) Co~uG ~ &G' treEl<flm ffl Pftft.T or 1\ Pf'rRf16t'L-A As srtow~ ~rv P. II ~ ~ !TH vERm PrT (!1.h) = (-o.zo) ;-o.f,.•l-) I ~ TltE .X-~ COOD . :> l')fS"J1 . tJon: 111 b'1e: ARE AD 'JUS retJ SU&ltTL'r PROtt W ltfrT IS D/ttu.V~ FOR fr ()61Ti=~ Pt/ Lnt15 tl)Aj DO~E" f)'( IRlM .. ,) . I f I11.1 'X -a ~ '(SiE't'1 J ~ = Q, 33 {783 Ji"' To l)~e IAJ OUR SYS7Ffl : r 1#-o (I) G-t-:1 Y~ort Y+o,zo lZ.I CA-LClJlftrl.;-~I fRof! e:QU krltJJI (j) Ger ~ P1to}\ ~I+ o.c+ ~ c;t. ' \. r--· \"--- 2 3 4 5 6 1 8 9 10 II 12 13 14 15 16 17 18 19 c--. 20 _/ 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 31 38 39 (-····.) 40 41 \.._) 42 43 44 45 46 &5010 65 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. DIVISION & GROUP CALCULATION NO. OPTIONAL TASK CODE PAGE _a_ '# 15800.08 H 028 RlllwGG '1'1"\'PtT IJIIU-&e use ('):} 0J.J Ut 1 He;H1 c/ fr/<0 11 7f.c I CAUUUrTeiJ \ /1 11 IC.o l Cv~\Je-a C / --~ ---=----- \.. 0 v':-!ec (;~ o .71384 0.2. O·t O.(o o.es- \ · oo \.so (?.353 o.~oo 0.~3~ cJ.'1&0 ~I 000 ~~OGO O·Bt~ 8 0-8'170 e).(r::>tJ 8 C),, 8 00 l·OO"JS ,,072(, E1RO~ +-0-3% -0.4/.? -a.3 fo -(?.2.% 0/o WR\TIAJ& SUctt 11t1n We t;:"lJTh~ WITJi H~ PWlJ 01::T C ; ~ '• 0.'3JI7S)[P ({j-r '==-1 t-0,20 ~ ~I :: 0 ''3) 17 ~) jr--~-T-0,-'2.0 ~-~ = ~, + OrG4 \('&= t>·"331783Jxto:zo t o."t ~ -::. CL Co~ ).~5 ;t ~ * \io = /0, (Q 0 /C' l J n1 l ~ ; cn.,5 -'!; .. ~.(, 1~s-= o.))I7?5)J"fh ;-o.zo -r o.0t C-=-I.310St3Jf£t" -to.zo + 2.528 (e.~. c.) I c = o.to253JHe+2.l2. t 2.528 I (3) !~rtetr OF Uf<IRS\1'1 Pl'ree-SUJ~t.? -f~ l~Sf&flO~ (')F r(&-. Z51 1 P.j7~, Sl fJCE' Wfi! tt!We (?.~ ~ ; ) 1/ J L&rJrtllJG-(tT I H : )V Ll Lib 1 1/ ft1ft:~) Tt> kff ft.OACU 1"\fSYtTPnncAU,r c~~~,/Cvm = 1·00 WNE' tN T1t6 P;Ho (t YW61:: nt f'rT we It ~We-) So \))€ WILL ~et'rf.Ecr T1t7S' C;;--rfl:;-c.r (JA} c, (:1-) SffElT OF 5v~n81!6't=~ fitOrt 9/? 111!ULWrEl~-DoE) AJor trfPL y TV ~VR. CASE . "' ' .5010 65 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER (' # Jts ~~wcr:~· sl DIVISION;\ GROUP I CALCU02eo• NO. !OPTIONAL TASK CODE PAGE_'L 2 3 4 6 7 8 9 10 II 12 13 14 15 16 17 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 (---.. ) 41 v 42 43 44 45 46 SVI'\Mfyt\Z/AJG-Tt1F LMT "3 fA 0"8'"S : (al.A) Q= CLHeh. (s~.G) L =-170-0·20 H~ (GG.c) C-0 .4-b 253 JHe t2·12. + z.szg UIQ9~tllAKr t-Q. r; ~ ==I> [ <Q .,_ (9.+oCS3jHe+z.i2. + z.5Z8)67o-o.zo H.)( H. ~)1 \WlS I~ l1tf' ~urrno» FO~ TVTKL Dl5Ctf1ttr~ Q (_cp;) 1 ~ ~M5 OF OAJE" VMtfJBLC: He (FT). Q= TOfPrL DI5Cttlrit.(i1Z (jl}t:;;t:, SfiLLWirY (cff~ rle=TOm H€110 CrT; =~r; ~L.-118o) I?JASIS : (~~T La!G-~'1 -::. t7o' RovtJbsJ PfC>IJ17""'~r:5 /Jf' PtaJ ,---~Ef.® C'JGtc p~ o.s.o ct>ott01Vtrrl::.J (0 ( CoEF.OF PtSCH ·@ P~ltMI [f'cl'r:~ Ho"'{0·&) = 3-~s l . ! I j I ! I r l· i; ·~ : 1: i I I ' _, <l .·--> ( ;/ 1111111111111 c> 1 1--; 'f~L'f\ -~. , 1 1 II 1· :d \ ,, ~"';~/ =tt:' 3.0 0 0.5 1.0 1.~ VALUES OF ~o 2.0 Figure 249. Discharge coefficients for vertical-faced ogee crest. 288-D-2409. 2.~ ..... Vl co 0 0 C> 3.0 co ~.. ITIILITTTintllm~..,.--r-r-,--,-~r-r-r--....-----. 0 ;: • :I: l--+-1 ~ 1 ~ I j_~ i i l ~ 1 I 1 1 1 1 1 1 I ,_. I· I I o i ., 1 11 1 1 I ~I----..---oo i 1 i I I • A "' I I -... ,__: I -------lh .... ,... ~ -' l """ a z 1.0 ~-- "' ~ -.. ., I -r-,.._ ~ I I He 0 - ' ' ~ 1-I ~... -I Lf __ J_ .--r·-r-? 0 --' 0 ~ , p ::; -r-~7 .... __ --u "-,/ -I 0 0.. o-/ I l I '?/ o .~ I -~ I " -I T I ~ l + l T -~"'= -r-T r ' I I I a: I / +--1 II 0.8 JV7 0·78Gt-----;r= __ v T I 0.2 0.4 0.6 0.8 1 .. 0 1.2 RATIO OF HEAD ON CREST TO DESIGN HEAD=~ Figure 250. Coefficient of dl~eharge for other than the design head. 288-D--241 0. rROf'\ REf.@ ) P.378 1.4 ~ -'-...J 1.6 9 • (') 0 l'l Q) 'j9 Q rq 0 I . I ,/' .. # 15800.08 [)w,-H ('' --. t-f,O)/' r·) CALC., 02.8 PAGE ll I I I I I I I I I I I I I I I I I ~1 r~o I I I I I I I I I I I I I I I I I I I I IJJ4441111=MJ 0ju I ! ~~II Ill r:rt I t · r TX I r L J l . % k"Jllllll .-- O.S V J J I I .l J J l I I I I 1 J l J L-Tr-+--o.t-<:~,.,. o., o. s u_. 1.o \·2-1.4 J•f>. I . IY ..l.!!.--·-"11---Ho- ·----1----·-··· .. ---03!--· --··4--.... ~-- ---------~l ·-------~·------~--------- ---· ~- o.v---~---------- --- 0,1 ---~---------- . ~---~--·I --~-------------·-----------~ () 0 rf\Pf\GoLA ·or fOr;M. ~z.= 4P~' fO~ OR\G/0 @ (~'1 ~')::. (0 1 0) 0 t::QIJ11L SC"LE) ·/JJ 1:'1 ~ tj'· Oi~EC'UOAJ. '311\lfE ro~ OOR SC/(l~ 'X =-2.!:f~ [)lV!~c PrlL ;t l""E'R f1> () '( 2. u } {)'( SCI'\UIJG-~ SOOSGQVs-!01 f\D~OST M.ilJT [J'( Tf(l Til ttJ TfiG {\REF\ Of DV~ COlJCrE~JJ OfJ OIJ~ GRfrfH; Ptu. potors mJ A ~1\'R~f)Olf\ ~e e-&uu,,s11rtlr ~o~ Gom R:> c us &. tl 1 R ecrn l.X.. p:: Q,l72 r t1' f. :. A..(_ o.l?~ \ 'X~\ '' 0 T \ 2.·5 j 2·5) ~ =-Q,3Jt783 JF ·-----!b.-It '' 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 ,/ \ 20 \_/:' 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 (' -----\ 41 ··. I \.._,/ 42 43 44 45 46 45010 65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER # J"tso~ ~-~· ~00 sl DIVISION & GROUP I CALCULATION NO. !OPTIONAL TASK CODE PAGER H 02.8 I~ RouT/AJ& OF ntE" ERoBABLE" t1~rx,11vn FuvJJ (P/1F 2 -C.RES"i LENG-TH & 170' ROUTI~G-C~\JPrT/ON ? -O,tOt =-Sz-5, -11JO CF~ M~ . flOIU ?ROM (\t~Ole FO~t\ FRnM -P.I"" ~ 2. At I TOT1fL. ,, PMF I STCRf\G-~ CJOTFLDW RES~VOI/Y ~-!N W DP,Y -t-1 liO\l~! i £U'(~RS). (C~ I ( Ac-Fr ( C.f.S) EL12VI'fT7DAJ (Pr) f i I I I ' I \ 0 I 900 ·a 0 1180.000 I ) ! i 12. i 12. : 1000 911 GO II B0.23Z. I \2... ! i 2 2.4 I 1300 \92~ J8G 1180.+~1 I I ll. I i 3~ I 1700 I 3131 I 38~ 1180.797 I I 12. ! I ! i I 3 48 I i 4"1~ I 70~ 1181.)7~ : ; I ~400 I ~ I I ! ~ ! I ' i I 93~ i 1181.+13 54 I "3000 I 5550 I I ~ I l I I : i I GO ! I sooo G972 j I3.JJ 1181. 77s-: I l I I i " I I I I ! ~070 I I I G6 ! 6800 I 2008 : J 182.301 I I i I i G I i l I I 4 i 72. i j 8200 l1 25Gt I 2'l3'} I 1182.~+T-! I I ! t2.. I .... i i g4 I bOOO 14-,~G2. 4414-I /!83.8(11 ! I I I I IZ. I I 5 9f, 4-500 15,(;3.3 4-732 1183.~80 12. I I I 108 3b00 15,087 I 4-473 I l/83.8t/ I I I IZ. i ~ \2.0 2800 11058 39~( I J Jf13.S7i i t i 12.. : ' i ' IIB3.to3 132. I 3500 l313G7 3G~.3 I 12 i ! I i ]_ 144 ' 13,~44 3')48 : 1183.550 I 5300 ; ~ I ! 150 I GIOO lt,7ZC. -'"1-304-} 1 83.74-~ ~ ISG j 7500 15,83t t82~ 1184:031 (0 I ! IGC. ~z.oo 17,3~ 5G05 I }184.427 ; l ! G ! 8 168 I I npoo \9)357 GGSO I I 184-. ~2.8 I ' ! l l ' (. \ /,' ~-- 2 3 4 6 1 8 9 10 II 12 13 14 15 16 17 18 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 38 39 40 /~ ...... -... (J! :~ 43 44 45 46 45010 65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. I DIVISION & GROUP I CALCULATION NO. I OPTIONAL TASK CODE PAGEJ2. # 1 5 8 o o . o 8 H OU3 ( \11 f FLoo o RO UTI tJG-, Co JJTI AJ ue-o) \oTPIL PMf STORA<St OuTFLow Re~~\JO!C ELJ'IP$6) I~J~ OfW~ \-\OUR~ ~t(HR~ (Ac.-Fi) ( C.F-.S) ELEVP\T/Otv FT) ! G I I 174-\3,Wo 2..1,8l'Z. I 905/ II '85.553 G I ISO ZJJ;soo 25JG34 )0,438 II 86.52C:, " /8G 27,500 31,31 a J4-/1·3J 1137. ~73 ~ 3 2.,,boo I 18~ 3i")511 J G, ~ 0 ( 1188.78Co I 3 9 ! )~2. 31)300 37,5fJO I ) ~)40 2. 118~ ,562. ' I 3 1~5" I 24,700 tO~O% 21,545 1/90.195 I l 3 ! 1~8 \ 2G/t00 1 Ll-1,4-'l~ 2.2,84-0 ll ~0.565" I I 3 I j 1190·6 73 ~~E) i 2.01 I 211100 4-IJ92t 2.3}22t ' i 3 I I 20t \~ &oO 4-1)507 2218+7 1/~0. 5"6 7 ! G I I I 2.10 I 14,000 I 39)048 20,67f IIBCJ. 9+1 l I ! I l I i G i ! I 10 Z.l~ l /1.700 I 35,S3, I ) 7, 973 I 18't.J2.4 ! I -12.. I I I 228 I 8600 30,231-13,631 ' /I~?.G~7 12.. I ll 2.40 ! GZOO 251 G38 I 10/t"'T I 1186.527 12. 252 4500 2.1,78\ 8032. I 185,54-5 I 12 12. l 2~+ "3100 18)501 6187 1184.710 I I 12. I 27?J 2.JDO 15,731 I 4783 118t.007 12. 13 299 \~00 1'3)575 37St 1183.'156 ~ -----, ------·------------~---------~---~----------------------------:: \ # 15800.08 ., '( ,' 30 I. f-z,,oo, 25-+- DIV.-H C f\l.C. OZ!'B Pf\Gt: 14- INrLO!Il NID 1\6\l..itll&- QIJI'F~ow ~D ~O!R ELEVI\11()1 C\lll.V£5 fOR PROPABLE M Ttl€ ~Ol)11N& Of f·IZ. ci-13. SPILUJIW CREST LE'IJ6'11l = 170' I~~ ft.&.'J FROt1 ,MtDJ)t.E f{)~ l)p TO 4{)0 CrS ("'f'l~tM"M • II-\Cl.UI>ES ~1)1!1\ Otxii!L now. lbrN~1'1\J HYD~OG~P)Pt\ (?if.,(]), ~LIITEsJ! 1-Mfti.·R+UIED DIStHI1RGr; "'~'3,2.00JF15 .. No I,)J ~ \ S OIVEFmll Yt.Jro ~OWER GfNmPmOil ClllR\llG-11'\S ~WTI~. I" -1/) -0 0 0 20--1- 0 w (!) 0:: <( :X: u (/) Cl 1- 5 10-t- -"·( ' -··•- •• .. '-..--...'. i.· -· -';·.t. -~.·' ' ' 5 --i-" .. ' ' ~· . :: . ~ "' .. · .... ·' (rt.R 1> c.P!Lt- ·-SPI LWAY DE IGN DISC RGE(22J700CFS) ,, '-c.o. : l zo;ro + / ! : . (SPI. fW 015CH RG€" PER Hfj C'/'\LC. "fllt\1'1:.'"111'\ -t-w w u...· ' rTfr:r11 '--r.M;~F' un1.ow Hl1~~<.oSR""PH+ \ il.G.o,o Iliff . I r ! ! .. ~ (Ofl.llf:(i~'j I II/ ; I! I,, z I I . I . 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WEBSTER ENGINEERING CORPORATION CALCULATION SHEET .• 5010.65 • 5010.65 r-CALCULATION IDENTIFICATION NUMBER I CALCULATION IDENTIFICATION NUMBER f\ J.O.ORW.O.NO. I DIVISION~ GROUP I CALCULATION NO.I R I I ±I # 1 5 a o o . o 8 H o2.a O\Jl"ING E~v~TtoN : · ::. - I [I] [2] -L31 [1] • . [5] [G] ~ ~?1 II [6] 2 TOI"l . MIODL€ ~OR11DAI oF Q tt.J C.OE. fMF ~ r~~ ,tB ~lt'f 3 Dl\'i ELP'lPSe:D D.::t fi,~tt ~Mr q coL.ftJ ~ INCL\IDI~ 4-roc.Fs ~II&)J'tF~~~oXf II· ~m~F\G-E 4 :1f HouRs (H~) (c.F~) toocFs .?.. soom FROM M~ ~ tt-n c~-\:;J +r,J) · . (1\c.-n-) 5 d.+ 04 2. [C)] 0\JiFLOW (_(f)) \ I - : 1 BG · <; 3 GGO I 4oo I 2..7,5oo I 27,~0o II ___ 3is2.2. · I 15,01~ 8 ~ 9 1 B9 Dr7hO +oo 2~,bOO 301000 · 31-1 GG'5 . I f~521 10 3 • -~-\9.2.. sc;+o 1-0o 31;"300 31,700 . · 30051 ~I 20}001 12 3 13 19S 5500 400 2.'\700 30,100 Lf-0/.)73 -I 22,2.{ 2.. 14 3 '5 198 55/o 4-t>o 20)4-oo 2.G,8oo II 4-1;40"\-I 23J487 16 3 17 2.61 ,-4-~ so too 2.3)00 2.""S;500 +1, 833 23;831 18 3 ~ 1 •9 --2.0t 4-Goo 400 !'),GOO 2DiCQJ '4-1 1370 .. 23,4oO •. 20 b ) 21 2/0 3110 400 14,000 -1~/toO i 38)860 I 2/)122- 22 c, , 23 IO 2..1(Q 2.000 4-00 11)700 12,100 l 35,G4-7 I )8J3tG, 24 12. i 25 Z28 7Sfa 35c, 8GOo <a~sc:, 301 085 I 13/J2J 26 12. 21 II -·z.to uc, 0 -GZDO · G2-00 25,434 .I /O;C, IJ 28 12. 29 . 25z.' I ~0 0 4500 .. 4500 . _2.iJt70 -I 6082.. 30 1~ 3 ' ___ J'Z.. _ 2(;_1-: _ . 1 Bo. _ _ . o __ 3100_ _ 3/0o ___ : IB 11b3 I_ (; 185'" 32 . l'Z. . 33 - . ---.?l-7"--: -. . . lBO -0 -2.300 2300 . .,5,1-1::3 . I "4-76'4 :: I> ----·z.aa--12 · --· \Bo o 1~oo-1~oo --·13,2.~~ ~-~-· 3758 36 37 :: I I I I I I! r ' I 4401 . ---• -- 1 ) ... - 42 --·--·~·---.,----' .,_. . •-· ~ -; ·-· r· ···-· •• ·-• ··-•-'--• I -. :: -: -; F~-t1: r·p-F{D I ;_b-}-=t r: 2:::.-; r· L:_'-~J -:: L~ ~------~-l: -_--_. __ ···-··· 46 . . ! ' - OPTIONAL TASK CODE 4=1 f>EA \i PAGER \ ./ \( r~- / ( {) # 15800.08 ~\\J.-H CI1Lt. 02.8 PAGE 2.'2. 35--+- 1- 1- 1- 25-4- I I I ! i I /II IJ I Jm ~ ~ I JIH\ zo I I TI' 1- 002n. , I\ -o ' ~= ~ . !Ill\ ~w , PROBABLE MAX. fLOOD INFLOW (31t'700CFS .... SPILLWAY DESIGN OISCHARGE(U:8.00CFS) ~~ ~ . , ) ji \ I\ g:~ ~ ! I I \ ·0:::0 I~ · il ' \ I I I I ~!5 -c l I ! I 1\ ~ l I I I I I I I I I I II I ! / : I I \ I I I I I . jll95 I ~fLOW "'N 0 RESOL\1 f.JG- 0\J\FLOW MD RESER\JO 1 R, EL.E\IF\ilDN C.l)R"ES foR Tl'\E: \\~ \JTI N & OF t>. 2.0 &. '2..\. S\'!LLWP.Y CRESt t-€t0Cr'TH ::::l75' INC.L\JDES fLOW fROM {"\ 1 DDLE FoR~ v P To BOO C..rS MPIX\MUM, lrVCl-\JOES NU\fl\ GlACIPrl. FLOW. No 'N P\'i'ER \S Dt~ER\a> \ }JIO ?OWER. GE:NERP\T/0~ tl0~HJGr TH\S ROUTt~&. I I If ' :1 \ \ I I ' . I i 1 I I I I ;:: V I I f'-_ r MAX. WATER suRFACE ELEV. 11190.65 FT.) w f.. I I · I i ,j y r--.. ' ' I I I . W ' ' 1/t\ v A.. 1/ .'·l I' '' J\ }" I I I I 1 . 1190 ~ ~ I I I I' I .\· I/ . I l 1\~, \, . z /_ ''\. , 1 .!11 ~ .,.Jt" . '\ 0 Y. . ~-· I ' I 1__..1~ . . I " . ·.' ~~ 1185 .i= 5-+-1 ' 1 l_....v'· ~~~-::r.-~----1~ --+.-)" ·1 · I . '\ "~----~ · :~ ~, / "'-,.,,_ / _v I I ~~ I ,__ -w 1 .. 4---t---~--~ l{ .1 ~ ·/r-I i ! I I ""-I · uao G1 : J....-1.---vv,. -~· ·• '-~ I J ~II' II-H- 1 1 1 , .R1.EciPI.T~noN CsG~ EX\ I~ . ' ~-J ..... t-:: irl II'S Ill I -I • ~ _ _l__ I I PLf!lE 2 OF R~®. 0-+- \-10\JR.S-o •,r ~ -~ -+a· s+ ! "" 12. ~+ % gs rzo · -~if.~so '7""-rl'B~H J~<rmr>ltfn~,;,'"~YJnTo aa; fbs z'+6 liz: eM _ l~ es!' i 3 \ I . F\~\EC.Eti~T SftRt'\ 14 15 DURATION (DAYS) '· PROBABLE MAXIMUM AND !:i.PILLWAY·. DESrG--tf:;jeLOODS (~ 2 3 4 5 6 1 s 9 10 II 12 13 14 15 16 17 IS ~ .• ' 19 ( '; 20 / 21 22 23 24 25 26 27 30 3 I 32 33 34 35 36 31 38 ' 39 i _/'"'-·-... , 40 ~-) 41 42 43 44 45 46 A5010.65 # STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER ' .. ·---~~------ DIVISION fi GROUP CALCULATION NO. OPTIONAL TASK CODE PAGE 2_3 H 02.8 Bn~HMelli 1 n CALc . o z 8 Rourwv-PRoaf(Ptrt ro~ He 15C CALCVL.P\TOR ~ l . 2 3 4 5 6 1 8 9 10 II 12 13 14 15 16 17 18 19 (>20 .·. 21 - 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 (!" ' 42 43 44 45 46 .A.5010.65 J.O. OR W.O. NO. # 15800.08 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER DIVISION Ci GROUP CALCULATION NO. OPTIONAL TASK CODE H 02.9 PAGE 24- f\nF\C\1MEtJi \ J co~n'o. \\ Lf3L{ STO • RCL 7 T" r RCL (;; X Q\CL. ~ +- Rt:L ~ RCL .+ ,z X X RCL.~ Ret-o . -• -0 c 1 7 ilm'll.. STO!tf'lth!' " .... , 1"1'01'\ FIJIM. He: STV 2. ae.cOHes "PteJ1~5 'TU1*1.. >TOR,floc'ro~t AJ£xi ~ X. ~ 'FlY. o J>eu/'1/fl.,f RcL 1 a:-51 rr.;s OIIPUI'f "TOi1'1L. STOR~e-s· )( ?~tn ~ C L 1 $' OV'I"?'LDI!I ~OJ1 FINN-He S TO J t>ecot'1e "r~~tevJDO' OlliPUIIl• tt/s 0 15PUIY '' OIJTFLOIO • --------~-···-· ' . ·~ .. ; ' STONE & WEBSTER ENGINEERING CORPORATION CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE .A5010 64 IFRONTI CLIENT S. PROJECT RL.f\Slffi Pow~ Pvi"HORtll-b~P,OLGY ~116" HYDROB..ECTRIC rnroa:,r CALCULATION TITLE (Indicative of the Objective): fLOOO R 0\Jfl tJG-- FLooD o F RtcoRL> TH#rO UG-H '3RP10I.EY LAtrs ~ OnJG"RSIO f\J TvAJAlG"L CALCULATION IDENTIFICATION NUMBER J. 0. OR W.O. NO. DIVISION 6. GROUP CURRENT OPTIONAL CALC. NO. TASK CODE w 15500.0~ H 033 *APPROVALS-SIGNATURE 6. DATE REV. NO. PREPARER (S)/DATE (S) REVIEWER(S)/DATE (S) INDEPENDENT OR NEW REVIEWER(S)/ DATE(S) CALC NO. 5 J', Ho611€S ~~ 0 .. ~~ y~ygh /1RR-l 1 }"' DISTRIBUTION*' I I COPY I PAGE I OF II PtlJj P 101'1,0.,<' (""i(rmJ NOV QA CATEGORY (1/) 0 I-NUCLEAR OII SAFETY RELATED om if N/1.\ OTHER OPTIONAL WORK PACKAGE NO. SUPERSEDES CONFIRMATION *CALC. NO. *REQUIRED (V) OR REV. NO. YES NO HYD. O!V, ,/ CP\L.C-003 JD.I+srxJ COPY GROUP I NAME & LOCATION I sf~T GROUP I NAME 6. LOCATION : SENT I I I (v') RECORDS MGT. l Pt Re ftLE-/1~ttf / I I FILES (OR Fl RE I I FILE IF NONE) :0Rl6.-JoB Gtr.R4·Z-: v I I I I I I I I I I I I I I I I I l I I I I I I I I I I ! ! I CALCULATION SUMMARY •.. • DIY.-H c LC. 03.3 08oiiECTIVE OF CALCULATION RouTE -mE" rwoo oF RecORD sYNTHeSIZED /~FLow HrDttofr7tAPH fROtt HYD. ow. CP\LC.. 02.~ IHROLJ&H \3rtl10LEY LAtrs f'JN.D 11fG OIVt;~SloN TVNN€1- 0URI~s-?ttA5E I CrutvNsL, sxcGP7 NsrrR INLET> r> VNLIAJEW) U>ltJ& T1tE" R11TI~G-CU~VE" fOR TVNNEL. FLOW V~. L.AI1G" SU~V. WHICH WM DGVELOPCO IN l·WO · Dl'l. CF\LC. 019 • CALCULATION METHOD/ASSUMPTIONS C' G ~ CD RoUTING GGuArlo~, ee u>sc : 1 ·~1 2. - 0 ~0' = ~ ~;~~r'~vsTgiV~w @ 1tJFLOIJJ TO iHE LAtre \S P\55\JMt::O 11J \:15" 1MMt:Ol~T&L'( D ISIR\'3\JTED OVFJR. THE' WHOLe; SURf"Cg PrREA Or THe-L.Atre > SO /~FLOW IS APPLIED OIR.E<:TLY TO EL&VATION Rl.St;, Q) fLO\JJ 1-\T il1E ~&INUI~G-OF THE' STOR!\ \S P\55\JM~D TO \3c AT ~ S~D'( ST1t(E"" \COO CFS . . CONCLUSIONS Tt\E Ro\JTllJer lS GiU€k1 Oij r'AGe 10 P\tJD A ~LOT ot= '1116" lklfLJW !t/JD O\)Ttl.OW t\'(OR06-Rf\PH5 ~~ 61\JGij tHJ Phes 11 • PeAt\ OJTFLOW lltROV&H TltE DIVER<->11>~ TUNA.Jl='-lS 3 GOO CF5 WITH ~ CORRESPONOIAJG-LP\trs· El..EVPrTIOAJ = !084-~3 ~,SAY lOBS" . 'A tHIS CO~fi~MS lltP1rl1rE HYDRP\UL{( DESJCHJ a_rrt:R!A VF1LVE OF 4o~CfJ 'fOR 1111.? lV~~GL f\;ND .\))UHJSmGAt\ CH!WNe"L DESIGN (W~JCH NOMIJGR.. ' ( l./ J~-=::;:-;:-C=":::-ME;::-;:FitO-::-:::M;-;;:M:-:-:YD_· 0_1 V_. C~_u:_. 00_3 _0 F_'JD_ttsro-r:-::FO::-::-::R~A-==Dl__;rf..:....FER_-:..=..B>.:...:..T_;_llJ_l):....:.NEL~I :....:5 Sf=-;.:..:/ L-=L_.:..V.:...:.:/'\ L::!.::ID:::...:·~ REVIIEWEit (S) COMMENTS PltiEPARIIt DATI lti!YII!WIR /CHECKift DATE INDEPINOINT REYII!WIR DATI ,.-.---......... '" ,' -- 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 (''•\ 20 \ l 2 I ' 22 23 24 2~ 26 27 28 29 30 31 32 33 34 3~ 36 37 38 39 40 /~ \ ) 41 \_/ 42 43 44 4~ 46 6501065 STONE a WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER CPILCULATION INDEX PAG-E" (>.LC\JLI\IION 'TiTLE PAG£ I 0\LC'.ULATIOt\l SVM.MI\R'( 2. C~LCJJLPtTlOtJ INDeX' 3 Sy NTHESIZ.ED INfLoW HYD~OG-Rf\PH 4- R~TING-CvRVE fOR iU~~a fLOW vs. \3RPIL:i.EY L.Atre ELev. 5 LoTU) l-2-3 CoMPUTER CoDING-fNtoftMf\T/ON G-9 CoMP\JTER. ~\JM FO~ RO\ITitV& 10 PLOT OF lt.lA..0\\1 PlND OUTFLOW ti'(ORO~PIPti.S \[ . . ' ... -..... . ' PAGEl_ .. (, ---- 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 (/ 20 ; 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 (-,, '. 41 \, _) 42 43 44 45 46 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET &501085 CALCULATION IDENTIFICATION NUMBER ~oS o5R0w0o •• N~. al DIVISION & GROUP I CALCo-3"30N NO. -lOPTIONAL TASK CODE PAGE_±_ I# ·H S~ N1'ttE)IZ.E.0 J:~?bQ~ !~tOll o <rftlJf1:1 Cflft ELDW nrro BB~OLE'f LP\ttG ED~ 11tG" )~1~ ~OQF RfiCORD fER Hyo, Q,v. CI\Lt. 02.~) e.+ CREi ®2 . • Ill : I 21 : I 31 ' C 51 ' . . . ' ' ' . . ' I I . . TOTJL . : SHOOT II ED . . D.lT : ELAPSED : .O.T . IIIFLOII ' • ' 110111!5 • ( RRS) . (CFSl ' ' ' ----: -------: ------: --------- I : 0 : ' 1000 Ft.o\0 f\T ThE O>etS-t~IJrAJV-Or ' . ' 2ft : ' . ii1'E" 510 I\! I'\ 15 P'\SS \J M r;.0 i7J G8 2 : 24 : : 1046 . ' 24 : ~T A STel\01( .511\TC (0~0\TIOAIOF . . 3 : 48 : . 1105 . )000 CF5. THI.S l.S VVS11 F1 ABLE . I 24 : . • 4 : 72 : I 931 f!fNO CON~6RVffTlV6"' GY OJ-. . I 2t : SPet:T/Ol> Of ~eF.~ 1 I'LffieS ' ' 5 : 96 : I 1041 ' . I 24 :. +A" "'rB) VJt\ lCt-1 GIVS' HYDIW-. . ' : 120 : I 1197 . (;'~~PHS POR t1f\fvY Y&P'RS Of I : 24 : I 7 : 144 -! . 1757 RecoRD. . I . 24 : . I 8 : 168 : ' 33!12 I . : 24 ! . 9 : 192 : : 8500 . . 12 : ' . . 204 : ' 5000 I ' . ' 12 ! ' . 10 : 216 : ' 4300 . . . 24 : I ' 11 ! 240 : ' 3200 ' ' ' 24 : ' ' 12 : 264 : : 3000 ' I 24 : ' ' u: 288 : ' 3280 I I ' 24 : ' I 14 : 312 ; ' 3575 ' : : 24 : t 5 : ll6 : ' 3875 ' ' ' 24 : I ' , 6 : 360 ! ' 2160 ' ' ' 24 : ' ' 17 ~ 384 : I 1667 ' I ' 24 : I ' 18 : 408 : ' 1650 ' ' I 24 : I ' 19: U2: ' 1550 . I . 24 : I . 20 : 456 : I 1250 ' . I 24 : . ' 21 : tao : ' 1050 ' ' . 24 : I ' 22 : su: I 950 ' . I 24 : . . 23 : 528 : . 900 . I . 24 : . I 24 ! 552 : : 850 ' ,...--..-. . \ . ) 2 3 4 5 6 7 8 9 10 I I IZ 13 14 15 II 17 II 19 c---~) 20 Zl 22 Z3 24 Z5 ZIJ zr u Z9 30 3 I 3Z 33 34 3' 36 37 31 39 40 '() 41 J 42 .:::;;~ 43 44 4' 41 .t.5010 65 STONE a WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO . DIVISION & GROUP 1 CALC0330N NO. I OPTIONAL TASK CODE PAGE_5_ # 1r;~nn l"'n H "-v R ~liNG-0JR'JE FOR TVtJkleL-FLOW ;=/ .. w ./( l'.rc.s ;:'oo/ ~~.-,. ... f,·.,~--~ \J<;. ~RP\DL E.Y El,-t/ F/ .. :>t • .J -? '!-\' 1\SE:" . I ;~71,7/ joo CI\LC· Olq P. 40 ( RE!iill: I ;o7r.J). I oo D ' ' JOfJ' I jo7'f. rs .2 t.IO I /08~ 1 oB/, 1'¥ .:zroD / I 08 '"/.-) jo g'l. 12. "}(,ud [7 J o SJ /0 85"",(,2 1 & Q() ;·r ' JoB 2 I jotC 'f2 '~""0 7 I ELtv Ju 8/ I ' Jot!~> I I /o7T I [ ;o78 I ft177 I j<J 7 (, I /07) ; I I I I o 7'/ ! /0 7 :J I /0 7].. I I I i I "71 I /070 I fO (.. 'f / 1 or._& I r/"vJ 0 I eiO" z dt:J() 1 ()t/0 'f. dO a I l I rf..t" \ . .) .. ·. 65010135 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER PAGE£ 2 Lo~ 1-2-3 Co11P\JTER Co.ot N()r ItJ FOR /'11'\'TTOA) ; 4 14 15 16 METHOD~ 17 '8 COLUMN~ DJ, [z], [>], & [t] ME' THE' INFLOW HYDRO~f\PH FROM p, + 19 2:5 24 25 26 27 28 29 30 31 32 34 36 37 38 39 44 45 46 A Loop 15 \)~Gt) , 0 (3 TPrUJ \) trLA-~CCD v f1U)ES I AJ CD J_S. \:_s J l 11] I ! r 71 : foR C\J~REATi Ut~e S1..6\J. Wit/I.E UJOPJAJ(;. - -Cf\LCVI.JffE' o, (cOL.((;]) ~011 ~P\TltV& Th~LE LDOtrL>f> ( s~~~~ -lJsE 111 ,(c, 2. IN ROlli ill& ~u kTJO f.) 1·f• -O~l},_ = ~ ;l'• To CALC»lPil"E: Sz. . \ -VSE THt.SS: TO CALCV~ LAtre-G:L~VATtON. - COfY\PAR€ C-VR~aJ\ LP\W'E E LEV. w lTH C/1LCULATG1) LAt1£ GLGV. -IF f\Gsowrc VALv5 or Dl FFCJt6'kl ce-1 s LB-s5 TH1rN o.oo1 ' THe: AJ ~ tm Mro ~ . -' -IF ~oT, TttetJ itel'LACS' '1 CvRtt@JT UtrrE: EJ.Ev. If WtTH Tlt'E AV~11Be OF ntE '\NRR~ LAff'e E:LEV. 11 & ~~ C~L..CVt..fm;D L.frrrt;' E LE.V. II "NO CON\HJl)6" l-OOPING-I Sec ~EXT ~A&e FO~ .Moree D6'lf)lt... ' ·; i --·~· ~-~-· ----·~·-~-----------~---·--·-----·--- STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET &5010 65 2 3 4 5 6 1 8 9 10 II 12 13 14 Ro~J I : 16 17 18 19 /"-.. ' 20 \ 21 ', 22 23 24 25 26 27 28 29 30 3 I 32 33 34 35 36 37 38 39 40 (''i 41 42 J 43 44 45 46 CALCULATION 1DENT1F1CAT10N NUMBER J.O. OR W.O. NO. DlVISIOH & GROUP CALC 0330N N0.10PTlONAL TASK CODE PAGE_:z_ # 15500.08 COL.E RoW 10 ~ Row tZ.: ETC. I 1 COL.G (4] INfLOW &10 I. I 10 S, COL.. l't COL.M COL.N [GJ \)] 0\JIFLO (() Lr\\fE fl.EV .. ~10 0, ~ CElL Nrz.. >TORA~ ~ ~J~ij ~------' ~----------------~/ SiORf\~ IS \3PrSG".O ~0 11te-FOU..OlVI~s-- (~ Ii IS 11tE" VOI-IJ/'IE Of LP'r~ N30Ve-~ LlrtrE ElEVIrTIOAJ ()JHICH to~~N"DS TD l1te" 16l-;-s-I»Ail~& ~e f=tDW OF lOCO CF.S , . . '. (,"' @ 1000 c.l=S J FR0/1 ~.5 Rri\l llG-C\J~E LAtn: ELEV.= 1075 .'32.' . .i) FOR INCR~L. VOLUI16""} rR0/1 Rsr:~ , P~TE' 57 : VOL.@ ELiV. 1100 ~ ~';33't AC-FT (! ELEV-1080 ~ 0 AC-FT (t-~1THet "UJife' S~FA(E'') A2.0'_.., J'1 'JJ~ foe. -FT OR 18f7 AC-FT/rT 6EnJ, aev. lOBO 8.//00 'JOt...@ El.EV-10$0: 0 AC-FT @ eu:v. 1000: '3 L223 I'C ,PT VOL.\SElOW 1'tf€iR ''uvrrr )URfrl(;' A'2.0~3l ,2Z31'\C-ff "-. -,.:_.-. o~ 15& ( ~-Pr /PT GETW. ELEV· lOGO! IDSO (coLnD 6~ ~EXT SHEr::T) ,..-.. .. (~. '• ' • I J ' < (~\ J A5010.66 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. DIVISION Ci GROUP CALCULATION NO. OPTIONAL TASK CODE # 155oo.os H 033 PAGE _a : (L01US 1-2-3 ConPvleR COOIJJ& INr0~('1P\T/OAJ 1 COAJTO); 4 5 6 1 8 !J 10 II 12 13 14 15 16 17 18 I !I 20 21 22 23 24 25 26 27 28 29 30 ll 32 33 34 35 36 37 38 3!1 40 41 42 43 44 45 46 (C) \JOLUt1C: BeTWet-..J ouR 'Z:t~o STO/tftft'G"" f::..'CJ::,Il. OF 1075,32.' P!NIJ £LEV. 10 BO, WtfaE"" Tfte""\>tS"Ilt'l m STORftot' f~R. FT OCCVfS : (1oro.ooo-1075·3;) (Jsc,t)::. 730& Ac-FT L. 1'£-FT;Fr (dj ,•, IF U1ti'E 6l£V. 15 l..e>5 11111JJ /080 ; 5TORI\GG:::. (U\11"€ GL€1/.-107.S:;sz.' )(IS& I) Ll'lc-'rr/Fr P.,NO IF LJ\~E t:.l.EV.I.S MOI\E THPt~ 10~0 : STORF\6€ =(LAVE El..6V.-1080)(1617) 1" 730G AC-FT LAC-'fT/FT (!;) FOR CElLS Utft tvl2. l WE ~1'\'N'f f\ Ll\~€" ELSV.) G-IV&'N S1V~fl-te-E". fROM"@)" ~SOV€ : IF STOR'AG'G IS ~s THAN 730(, A C.· FT U·G) U\tre ELEV.ts .::.1080) / LAttE El..EV. = $lt)Rt.fi ;-1075-32.' C.Ot,. I ISG. I "" IF SiOR~~ lS MOtte-Ttt~ 7JOG P.C-FT LA tfe. /:l-EV. = (5.11>1\'P!Ge" -?3/)(,) + I 0 8 0 oo I l8l7 t FOR CELL I12.: J, +I; _ o, -t-Oz. = ~..;;-:- Z. ' -' '~ ! \ 3 4 5 6 1 8 9 10 II 12 13 &5010,65 ------ STONE !?. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. DIVISION 5 GROUP CALCULATION NO. OPTIONAL TASK CODE # 1ssoo.oa H 033 (Lo1US }-2-3 COMP\JT5R COOING-1NF0Rt1ATION) COIJT'O) : fOR CELL 'f!\Z- PAGE_9_ VS1Al6-THE Rf\T/~6--CVRVS" PO!t l1tE" TVtJ~£L. fROM P·5; MPttrt'3 A COMPU7?~ LOOtrUP 11\13LG V.SI N& TtiE" POIAJTS ~Oi'l p.s PL\JS ONG" t:xTRr.;PoLirfED POitJT l IN CJI\SE" flOW Mt61tT S!Ceb-D ~00 cPS· ~N 0 VS~ TftE fOU.OIOtj)(;- TD ~R0\11~€ STR~IGifr-Ut.J6" INIS"~?OLATIOij : 1 C.OL. p COL.~ C.OL ~ COL..S COLT COL. V COt... V COL. W 14 ~OIA) 10: c~Eet..) 1072.71 15 16 ~·· ll: (RJW) 500 2.500 1.800 4000 17 18 Roo t·z.;~~~) z.oo 19 ('·, :~ RtiO \3: (~FLDW) 500 !000 I· 81 500 1100 '3GOO 0·70 zqo 2.00 500 22 ~ f\N&E. FO~ 1ltE /\BallE 17\Blt IS PIO •• W 13 , COOl~& TO 6-o TO 23 'TAStE'" WfTH Llfh'e &LeV. AND~ tNTGRVol.hTS'" FoR CORRE5P'DAJJ>IA1G-FLOW; 31 32 8<· f>\eqvE 1 Fof\ f"\1'2.. ) ELEV.= 1083.00 (()EJliEl:l) $jQ.:: /Otl.t~ AN.DTfO:: IOB4.~l): :: fLow (ceu.. I{IZ) : 2500 -t t(IDST.00-1~~~~) (1100 )] ~ 3.p 18 CFJ v 35 36 Nol'E: o"' SeE.otN& Loop : 37 10 eei lOQP.S vP· ~NO WOR\'fltJEr 1 rrosT POT 1\ fiXl?'D NUMBeR \~ COL 'rl A'NO 38 ?R.E)S 1'c P\lC • tfEY R~""PrTE'DL'r' ( COI'1P'Jl1:-l( IS ~eT Tl> "MIJWilt ,, ~e::rlrt..~wt170tJ 1'1 ocG'> . 39 ~~'s GE'T5 s:ro RPrOF 1 coL. I /::c-sxa> wtTH VIrtue.. (tAJSTEfrtJ 6/= "eRR" . T H'E'N rDft EJJC H C--....,_, 40 EN1R't' Ill CoL. M 1 ?Re-~s ''EDn''} iifE"Af'R\:"1'\)fhf > TltaJ "CP\LC 11 ~ 'fiEi)t...Y. fl~Pru..Y-CON _ 41 f.Q\)1\TJOUS JNTO COL..li , f1N{) PReS 't'rt.C' ~teWnSX.l" • TftE" UOPS Ns;o TO G6' SS:::.!.ot:D 42 IN "lmS ff'\S~ll)N (nrol>G-ft A)oT NECe5SMi!l L'l' ONe ffr 1\ TIMe) . 43 44 4& --,;..,. .. . '. . . •-..... ~ ' ... ,·-~--·-~------.. ~·~ .; --_ ___.,_..__ -~.-----· ·--~----· --·--'""""'-~'· ................. ___ ~--·--·--..__ -~ ----·--~-------~---~-~ # 15500.08 Dw.-H CF\t.C..033 f~ FILE NAME: CALC33 ROUTE FLOOD OF RECORD . [lJ [2J [3] TOTAL LAKE DAY ELAPSED 6T ELEVATION It HOURS <HRS> <FT,B.L.P.D.l N<ii'ES: --------: ------: -------: ---------: ---------: -------------(oLq], tzJ,\'~J 1 0 1000 0 1000 1075.320 i.1~1 p,Re fRO!"\ 24 \'A·. 2 24 1046 40 1006 1075.345 ~E.l.J>,iiOAI OF COL· 24 ~]' 01111'\N) 7& 3 48 1105 159 1025 1075.423 GL~7] ,UI~£ EL, 24 \S FM/1 1'·5. 4 72 931 148 1023 1075.415 lNC~elli'IL 24 c; TOIU"1S'E IS 5 96 1041 84 1013 1075.373 f«<f1 f. 7 : 24 !5GI ~fi/Fr 6 120 1197 267 1041 1075.491 eeww s..1o30 R~O 24 1317FC·fTffr 7 144 1757 1017 1157 1075.972 1'\60\le a.IO!O 24 8 168 3392 3457 1532 1077.535 24 9 192 8500 11024 2729 1082.047 ,r--·. 12 I 204 5000 14707 3344 1084.074 \"-._. > 12 10 216 4300 15904 3543 1084.732 24 11 240 3200 16256 3602 1084.926 24 12 264 3000 15402 3459 1084.456 24 13 288 3280 14859 3369 1084.157 24 14 312 3575 14959 3385 1084.211 24 15 336 3875 15537 3482 1084.530 24 16 360 2160 14747 3350 1084.095 24 17 384 1667 12302 2942 1082.749 24 18 408 1650 10117 2578 1081.548 24 19 432 1550 8437 2316 1080.623 24 20 456 1250 6868 2066 1079.719 24 ·, 0 21 480 1050 5299 1816 1078.714 " 24 22 504 950 3895 1600 1077.815 24 23 528 900 2734 1421 1077.072 24 24 552 850 1794 1276 1076.470 -• t• +--·-"<"-~r-.~-_ _... ~....,..----~-• _,__ ... ________ ..,.._._ . ., ____ ----~. --... ~---·~.,.. ... --~ ....... ~----· ..--..---,_..--. ...., ---•<<"-___________ ., -~-----~~·-..---------~-..-··~----.. '· . ; 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 21 22 23 24 25 26 21 28 29 30 31 32 33 34 35 36 37 38 ., 39 ' 40 43 44 45 46 45010 65 £-C. A-F \t>6o b ;_; \\:)~ 3 \"L'<-~ \\0 c b( 'Sb '- STONE a WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER f-) ·~ 1) lolO \ Sh1'2... - l""L t~'1~---~s )'"'C 1.. 1'-!.-&lts1 (\.L 7 q_lb lb ,'().{\-9l ~ \ \(:,3 (t'(/ tfs'" ~Op {b"-,_ 'f s~v ¥t> "=31'2.:&3> & \ ~l)- -<:;l \ n 3t.t.iS7 C}.liS ~~~, (,oh ~ ~149) / ~" 41il ~':> 1~\6 S"'S) . ' _,.. PAGEI..Q.A ~'10 ~ ccfs) 1915'7 '2 '+'rS. ~ ci,b6f \"'~'/ ''>;' ~ b\~"2_ ~ b•) ~.Sfl'-1-S <.(;;, ""L l- ':3:,j~J..l '~it-"s ")_, l Sl1. 4-"14:-0 4-l ~ ""2. C\1~\ 4bD0\ 2 3 4 5 6 7 a 9 10 I I 12 13 14 15 16 17 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET 45010.65 CALCULATION IDENTIFICATION NUMBER OPTIONAL TASK CODE PAGE .l..Q.l> <:C~--=-1'2-\w fi, ~ 0 4--ro \01~ &-&\C) I '6\.L} <; u-v ~\':,1'-} b\~1.:, ¥0 ~' t'L3 d..l~'}-f,S\11;) <;l I l_q!SU R 3l.i~7 ~l15 6ob { ~o.t () 1~:,5 ~ 3~"1) ~3.<-J ~C{I..(.S s~'S 1~3 ~ 4 "<-\<..5 ?,'61,(., ~tzr 18~~~ 19 23 24 26 27 28 29 30 31 32 33 34 36 37 38 39 40 j 41 ! ·lo 42 43 44 45 46 cs; A\A ~\A~ ~·~ ru ~ ~-~~. ·~~ ~ Gv.~~ ~ ~ c~-{o--r \Wv--~ ~~ ~-~ ~{'-~ \\)~~. C9X. l4"'SOV -H:-oo \ ~J d~ ~~ ~,1!9.3 (""/"-,\. \ . 2 . 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 ' ) 21 '· "--"--22 23 l1;4 25 26 27 28 29 30 31 32 33 34 3!1 36 ·I 37 1 38 ·; i -, j 39 .. ·I 40 1 0 l . ' 41 l 42 43 44 45 46 45010.65 STONE a WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. I DIVISION & ~OUP I CALCULA,~N NO. I OPTIONAL TASK CODE \ s~ a-o .. D? -:s '" 2-S.)-o M-to E-\ =r I 0. ' I f 4't · ) I •I:J7\ t I ' 0 ll)O"\;) ~d:.~'~1 &4-9~C:f l(SI)O l tlS3> 2.. ~'\-\t>\\.6 '2.. (._" !> ' ~4Q.·ss \ \) ~l. lblS.~C::, ~a-\ \'OS. ~ ~Ub-b d. 'Sol;L \03 '&" \bTS,4t> . 1<.. OJ) ~~en~ ~s~'*'-L(> 3~ l~lS,)O" ~~ \0 4-) ~~C\\:>'"2-~~q% tCL '1._ I OlS\~?... I ?.AI \\ ~ l ~~()~C ~~\4-\) \'0 ~s ~illS.ll-3 \ll '-!.-\ISl ~~ l\i) (j. b <ro} ll'+-7 ltlS.~"L lb& & ~'tt>7 ~?~1 j;;cp .. \'SZ!o \'D\l,'S,\::\ L4'-ts"i,)t) k!lh... ~lbtt~ ~\'b) t o1ra. o (, -1 ('13~~ ) ~i-~ -n\. ~q'-~\ "2-..t"'2.. ~3(..j.,S lb~.tfi J ~6 4)V'D ~ J..~<... "L ~~~~-~S;~ \ t) \4.15 32-6"'0 3(,6~o l Q..~?>1~) ~s~f \'t~~lo ~\\.,\) 1-3~'--z... ~~+ 'b015"'D ~ sq~ '2 4<.n..8' 3'{.5:'8' \'b~~\ ~ '3~ ~'>~t 4LZ...\2. ~~'t l 0~.\\ ~12. ~ '5;15 3SS4-3> 4.<-'4 ~~~ l 0 ~·'-tt- 3~-' '"3 SlS ~bo'S\ u 1-'\tt) )~17 lt>~)b ')'oo ~l b 0 ~ 'S)b "2-4<-l:)lt ~""'3),~ to~. 13 3%~ lhfo7 ~!>~l "3>9 L~ ti-9{ 4 6 \\)yZ..l b 4-o8 lb"S'D ~ \ l\.'-1, * ~k.bll\--~~"t'.:S l o 0"1. sy.. 4-> 1.-IS~o ~ tJi) \ \) ~l{(,~t ~.,\~ \\)~.{,1 \v)b ~~';0 ~61~ 2> 1... ''is'l'l) ~b \\>lCf,bl ~ l O~C'l ~~'\lt... ,~t,J lf>l?.h~ l ~ .. ··"" PAG~~· ,• -. :... ·t ; .~ . . r~ ' \ I '-../--· ""- -· / -. :f: ) # 1 s so o . o s O\v.-·H · ~OOo ·sooo 7000 ~000 .FLOW (CFS) . ··~· . .. 5000-.. 4000-· .. ·-·.;. r·--~~-=-3000 -· · ·>· ~ ·2.(!00- ···1000 .J--= ::t:.-~ ---------/ I I / / ·"" SYNTtiESIZEO ltJflOW TO SRf\DLEY LPi\\E" (\'\1~ fl..OO() OF RI:CORt>) I I ~ I . r-0\JTFL.OW THROUGH - OWSRSIOtv I 1UJJ~t;;. -.... . ', ', "-....... .................... "'-, .......... ;........_ . ·. ......... , CF\LC.. 033 ·pAGE ·11 ................... D l \1 E\\ S l 0 N l"UN l\1 EL FLOOD RO\)\IN&- 1'179 FLOOD 01- RECORD ....................... _........_ O+-----~-------r------~------~-----+------~------~----~-------r------~-----4-------r 0 48 CfG I+T 19Z. 2to 288 33fD '39t t32. 1-80 528 57C:, ~~Pl. 3·1+-e& '-~--,--- .. - ~-. STONE C. WEBSTER ENGINEERING CORPORATION CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE .A.5010.64 IFRONn CLIENT 6. PROJECT PRI 1\U\slfl\ \)owER Fl\lTHOR\T't'-GRI\DL\?'1' LAtre-l+rDRoGLECTRIC ou. CALCULATION TITLE (Indicative of the Objective): DESI&IV THR\J~T5 - PoU)ER Pe~srocn Nei\R M '1tVll=OW) CALCULATION IDENTIFICATION NUMBER CURRENT OPTIONAL J. 0. OR W.O. NO. DIVISION S. GROUP CALC. NO. TASK CODE # l580Q.Q~ H 03~ *APPROVALS-SIGNATURE S.DATE REV. NO. INDEPENDENT OR NEW PREPARER (S)/DATE (Sl REVIEWER(S)/DATE (S) REVIEWER(S)/DATE(S) CALC NO. llM01lW J". H\XJ-ttE3 J I I+R.o.J Yz_-z_/ gc, 0 ~;~ ,~,t1y~ [? Ov ),·., J.~J 1.. ~t/tfvL \·~ ~/17!6" PA~ <i. "t"O ~ '1/l1(&6 - DISTRIBUTION* I I COPY I PAGE 1 OF)l? QA CATEGORY (v') 0 I -NUCLEAR SAFETY RELATED on: om [B' NL~ OTHER OPTIONAL WORK PACKAGE NO. SUPERSEDES CONFIRMATION *CALC. NO. *REQUIRED hi) OR REV. NO. YES NO v ~ I COPY GROUP I NAME C. LOCATION I SENT GROUP I NAME S. LOCATION I SENT I (..;) I I (..;) RECORDS MGT. :fiRE. fiLE-fl~UIORMel /(v ~€V·v I I Fl LES (OR Fl RE I I FILE IF NONE) IORIG.-JOB 131't' !rt.Z. I v {.; 'ftev!) I I I I I I ; I I I I I I I I I I I cC I I I I I I I I I I I I I ! ! I .,.., 't , STONE & WEBSTER ENGINEERING CORPORATION CALCULATION SUMMARY IJ,p./w.o /~A,L,C~LAT~"-No.l.. .. so•o62 01'J .... H e 15 tsu u · u ts ;rALC.Q'3Co REVISION I PAGE 0 2.,-oF + QA CAJ.Ji/,RY /CODE CLASS r SUBJECT/ TITLE \ ': r-=:0..:::::6S:::....:.I::::::.1.&N..!..-...:TH~R\JS~U~-------------------------4 '--· · Powe:R rel\lsroc.l'\ NE'PtR MP1AJ1FOL.O. 08oi£CTIVE OF CALCULATION DETERMI»E H'{Dfti\\JUC 111RVST LOfi'D5 FOR POV€~ PsNSIOCtr ,\k;:.r'fR 111E Ml'r~l FOLD · CALCULATION METHOD/ASSUMPTIONS . cc·j ri~O~Uit~C~EI~OF~D~AT=A~/~EO=U~AT~IO~N~S------------------------------------------------~ ' ~ ' . . j CD Srr>~E ~ We:~srr:R H~DRP\\JUC OIV. T ECHAJI(frl. ~ROCeO\JRe HTP G·t REV. 0 5 ~[J -fl5 '\ HYDROSTA'17C.. ~D 1-\~0R00Ya.l~l'11c. ~~ce orv f'lfE3 " ®DWG. t5800-FS-S2.G2J,-t \l ~ OW~It Pt;h\S\OCtf STEEL L.IA>~ AAJD Pe»STOCK Pl.A'Al" CONCLUSIONS LON>S FO~ 1l'tt tJO~f\fn-1 EJ"\6~6aJCY, Pr1Jll IEXCGPTI'OOirL. TRI\~.SIEiVI t~~C>t110kl.S Al<E. U\()E.I..L.b-"1) DN p, J' lr +. (()~~~~----------~~~-----------~-------~ REVIIWEit (S) COMMI!NTI PRI!PARIII DATI! 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' . ~~~ \ ""'!!: ~~ -~~ ~ op+t!r t:IAT.., .... ,.0 OI!!..,.GN a>rle>or!Ofi'!o_ L ~"' W.:,.--N10 e.UV' .... pDf+.. ...,.C. ~l..u-cui~ . ..-.c[\U'I-$ p ct. or.~o ">UO.~T p ,;vortc. P•~L 4100Nfn<"J': NOTED APR 1 7 1986 J. HRON l.u.~D T. t:1iGHE1 APR 1 7 19G6 ~ ~ 1 HR\)SI 'fo{CC~ ft 0\JE TO p~eSufrE ON CONG' SlOE) ~·--___, (717)(t+-t)tn [w-9LJ 1~ J',Z)5 (\ 1 ~M s?:.~too>} •= lBkS)( ')( .. )(" J-: ),32J Y1 1 EM~tr- (107J)J(· )(· )c·· J .4~1~ f\ SXCEPT. ~~ ~o-••"•"-'0' 0 . lD ..al"'r.ef ~~ ;.•~NI"•b' ""''UI - I t. · . .. ' .. ' '' . , . ~-· .. : 'otl ' t ., .i •. ,···~· _; .:;- ~. .. . I.'. ·.' J r,~ .. ~ .. ! i .:.. .. ; ., ~· ,'"• :'\ . 1,. ' ! ' 6 1 ~ 'f <! ~ i Q B ~-C) ttl t \.U ~ p j. 0.::: Lr. ·"' '-\ ~ ~ ~ 0 (.) ~ ~ :...E ~ ~ 2 .. "" ~'2 ~ 3a . _jE (S C::.C) U-'2 ~ w8 t=. 1(: '·. I ,•··r· ·f<•·. ' .; ' I ~ .t :... t · · ' ·· ;·;.r:~'tt,r;t.;· .~ Q; ·00• •l!Ct ....... ~ g!:: \ .: !2 lt-· ·'u ~ ' ~ . .-4. ~~ :-~/~ ~ ~··LIJ .. 0:: t ~·.i-; 3: a.,. "·cn "Y;~'j 1·-I,J ~ • J I '"' ' ' ' : · .•. ·t. ·:;, ;,~~ ··~' • ~-_~;_, <O Q en t-.-i 0::: a.. ex: V\ '-' ::c •-=> ::::::. ::...: .....: .. Cl ~C!C~ ,,_, EEii '-;) ~0§ z I""'U) 0 o-;~()J g: :z: ,. • • u.;~~ (] ... ,. 3 lD 00 (J') .,_ ~ ~ C\l 0:: w 0... c::( ± 0 .., c_) 1- 0 z ~ E" -+- J ~- ~-J· ', \ CALCULATION SUMMARY DATE PAGE ... 11010 •• 7 tht< H ICALCl,JI.A~ON NO. ;' o::r~ R~"" I .r-~at CUENT 1? ,.t/4 "/( y J. 0. NUMBER ;:;. }'If -/...-Jre.. Hytlfro c.lt.,,..,.,e,.. ;:r.~fur 1 r 8 ()(/. "s SUBJECT ,n~.-w I ·,L._, I" /)~.r/t;l1 rhr..,l.f'r-Pot .. U' Pt>~Jf .. L K <I PROBLEM: /)c. f, ,..",-..~ttL H 1r;~. ,.....~ kt. rJ.-,-..~.rf J-~.J.r ;:;.,.. ,q..., r,., 1r '4 1"1 ~ .. ,· lo / J. """"' ( #" l l"'e V ,·_, l".i t";.. 4 ,.,. .1' ~ if 4. ..;.. j:tl 'c J' .r II "'f:..,. 'CHECKER'S REMARKS: APPROACH/ ASSUMPTIONS: ft>, I tte -!',..,.,. T H.,..• ' .,._ ... ,. ,-, .. r ' ~ T?_lf"r_,:,. CHECKER'S REMARKS: "--. __ • ·'iSOURCES--oAT....-.. ...., ..... ..,Ns: - ...._. R~ ~ J -#·I ..,.re-I Rtl-:a..-ov, rs-JJt:!JO -Fr.;.. .rl.' ");.,. -1 h)'~~.,,. P-t> .. J""'·~ .... -.f"'f-t>cd "'-'·H,. ... .t. p,...,J' f•t: ll' p~ ... '~ CHECKER'S REMARKS: Fl :r 5835 ki P• F2+F3 • 30U ltio• F4 :: 2882 kip• P.J • F6 a 8805 lcioe~ F7 • F8 :: 307& klpe AUDIT SUMMARY Re.Mlt&nt = 5879 kip• ~te-.tt ... t • t.ua kto• CIW:ULA'I'lD BY ;HB:KS fCOIIRa::fi\IE ACnOit TAKEM IV OIECKEDBY l,.~.....,;nuM> OAT£ AUDITED BY 6.S foot BEND I I IOATE I I I DATE I I •DATE ! I AUDIT REMARKS AUDIT REMARKS AUDIT REMARKS AUDIT REMARKS ; STONE a WEBSTER ENGINEERING CORPORATION CALCULATION SHEET 65010 65 CALCULATION IDENTIFICATION NUMBER ri PAGEL J.O. OR W.O. NO. I DIVISION €) GROUP I CALCULATION NO. !OPTIONAL TASK CODE I )Boo. ol!:l Hyt?~ro o:J' 2 3 f,. .. ,...ric .. f-P'(.r.r"rc. = ,Cf = ~ 17 4 5 6 .J ,._ 10 f II /1/.,f._ · I · --.2 .,._, 7 ~.~... • /".1'' ' ~ ._, ' ., 1 .,of-,_,., 'frl' s 9 Fl 10 II Ill P=-plf P=-F,,..~, /"'.I"' .. ,{ fy //(!' ./".!'"' .re, /~ I' , 13 JD• I l.r / llr "- 14 If-"='-1'9 ,.,_ ... ~,. .... 15 16 17 IS 19 20 6 1 7 I ( )I' / '/ 'I I ,.. ._ _.,.,. - lit<" -J ,_ 21 22 91 721i I = 23 24 25 26 27 28 29 30 3 I :: 9/ 7"J..I X I 32 33 34 35 36 37 38 39 -- 40 41 :42 43 44 45 46 ( .··~ 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 :n 34 35 36 37 38 . ' 39 40 ,. ., 41 / / \ 42 ' I \~ 43 44 45 46 65010 65 J.O. OR W.O. NO. /FfJ oo. o 8 v= w: a:: ' ::: F = ,...,r STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER I DIVISION u GROUP I CALCULATION NO. 'OPTIONAL TASK CODE 1-ly ti I"~ () .J ' ll,flg -f,..r '2 . ., '~/ ,.c,... 7 2. ,..., "· "\,.. c;£J "12. :L rl-/ .ree '- ::2. /. B 8 X 2 II 7 ., . '2-)( ' l' 'I 1'-. l.. ,, /, = &'717 PAGE_z_ tl 8 + 8 7 17 :: fl 6' or x,·toJ' Re..rvlf .... f = ;L 14-{wJ v'-.,.. /') t'" ..r ~ rr-<> )/ /f. 5") , I 'lo -( 2 :: I 'I/ . I'll.<.:> r .. __ . 2 3 4 5 6 7 8 9 10 II 12 •' 13 j 14 15 16 17 18 19 ( zo 2 I 22 Z3 24 25 26 27 zs 29 30 31 32 33 34 35 36 37 38 39 40 ----. ... 4! ( \ t i 42 \~43 44 45 46 .... 5010 65 STONE a WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. I DIVISION & GROUP I CALCULATION NO. !OPTIONAL TASK CODE ) ;-9 () (}. 0 &' f/ y dl"'"' () 1 6:. t.-> / /J ( "'t" F,r '-<:...... ;=7 ri -17,... FM /](.,l. -va w V-=-2-':I-' ,_ "2-. r:,...l' , 4: 7 77. 2.. (_,f._,~ ;:: (~2...~~) /37. l,.. ( &2..'i) "32. ....... -:11. 7 k."p.r _p = )':) If .(!I' ... ,.( .::. 9/ 7 ~ v *' rr t . .r"'L.... -:= 1<17'"/ r.,·{'*J' / 'i F7 -;.. F~ :: F_ + F = 'j/.7 r-Jt;)'/Y = I] ,.,....J. -B~ .. J --(~~ 7-J') J CT"= (II t/.,p -2 C. s = I S""J . .r-"' --1'7/v / \?,.•H ~,~,,,, R.-. v-I PAGE_!_ ,..~ .,C.. ! ( .. I c.. Cl., 0 / / ] tJ 7t )(',;.-, ... 's-r.s- •. ( I \. _,/ 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 2 I 22 23 24 25 26 27 28 29 30 31 32' 33 34 35 36 37 38 39 40 41 u42 43 44 45 46 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET ... 5010.65 CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. J ril t7 (.)_ o;' DIVISION & GROUP rl.,..lr~ CALCULATION NO. OPTIONAL TASK CODE PAGE_f_ 01, 21·17. Forces Due to Pipe Bends It is common practice to usc thrust blocks in pipe bends to take the forces on the pipe caused by the momentum change and the unbalanced internal pressure of the water. In all bends, there will be a slight loss of head due to turbulence and friction. This loss will calliC a pressure change across the bend, but it is usually small enough to be neglected. When there is a change in the cross-sectional area of the pipe, there will be an additional pressure c:huge that can be calculated with the Bernoulli equation (sec Example 6, Art. 21.(i). In this cue, the pressure differential may be large and must be considered. The force diagram in Fig. 21-35 is a convenient method for finding the resultant force on a SECTION 1 F : V,C• 1•-,- vz,Pz,Az SECTION Z Fig. 21-35. Forces produced by ftow at a pipe bend and cbange in diameter. beDd. The forces can be resolved into X and Y components to find the magnitude and direction ol the raultant force on the pipe. Ia Fig. 21-35: Y1 • velocity before change in size of pipe, ft/s V2 = velocity after change in size of pipe, ft/s p 1 = pressure before bend or size change in pipe, lb/ft2 p 2 = pressure after bend or size change in pipe, lb/ft2 A1 = area before size change in pipe, ft 2 A 2 = area after size change in pipe~ ft 2 FlM = momentum of water in section 2 ,. V2Qw/ g F 1,. = momentumofwaterinscction 1 .. V1Qw/g P 2 -pressure of water in section 2 times area of section 2 -pzAz P 1 = pressure of water in section I times area of section I = p 1A 1 w .. unit weight of Iiquid,lb/ft3 Q = .discharge, ft3 / s If the pressure loss in the bend is neglected and there is no change in magnitude of velocity around the bend, Eqs. (21-71) and (21-72) give a quick solution. R • 2A ( w ~ + p) cos~ (21-71) 8 a • 2 (21-72) where R "" resultant force on bend, lb a • angle R makes with F 1,. p • pressurc,lb/ft1 w ,. unit weight of water, 62.4 lb/ft3 V • velocity of ftow, ft/s g • acceleration due to gravity, 32.2 ft/s1 A • area of pipe. ft1 8 "'" angle between pipes (0" ::s 8 ::S 180") Although thrust blocks arc normally used to take the force on bends. in many cases the pipe material takes this force. The stress caused by this force is directly additive to other stresses ,PJ '1(1 1 "'J aloq the longitudinal axis of the pipe. In small pipes, the force caused by bends can easily be. __________ --J carried by the pipe material; however, the joints must also be able to take these forces. ., ' C: 0 &5010.64 tFRONn STONE E. WEBSTER ENGINEERING CORPORATION CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE CLIENT S. PROJECT ALASkA Pow E.J2 Au...rnoQ t •y BRADL.-€'1 LA I(. E.. \.\ Y 0 i"W E.LE..CTR.IC.. Pl2.0 ~ e..c.-\ ~ev. 1 PAGE 1 OF~ CALCULATION TITLE (Indicative of the Objective); . ~G-:~~:yf:?;iJ6 ~ QA CATEGORY (\1') REv I <; I 0 IV 1 ro CA I....CW--PrT t 0 t--1 ~ -04 G ' wll!'ltt Sf IC~ f'Fif'lt.e' 0 I -NUCLEAR EVA.I.u.AA iE. \lUi EFFECT OF Goo 000 Cf!.S "" SAFETY RELATED PEAK FLOW Th~OU.G 1-t A \'beE.AcH ()~ OII om [3"' 6RP>.OL..E.'f LAK.t;. DA~ OTHER CALCULATION IDENTIFICATION NUMBER CURRENT OPTIONAL OPTIONAL J. 0. OR W.O. NO. DIVISION S. GROUP CALC. NO. TASK CODE WORK PACKAGE NO. lS''600. l'2. ~ 04G - *APPROVALS-SIGNATURE E. DATE REV. NO. SUPERSEDES CONFIRMATION INDEPENDENT OR NEW *CALC. NO. *REQUIRED (V) PREPARE R (5)/DATE (Sl REVIEWER(S)/DATE (S) REV I EWER(S)/ DATE(S) CALC NO. OR REV. NO. YES NO G.e. ~e-ro~elrte.~ TtMo1HY Hu~ \ ./ \Of Z.lt: I fl'-1 tl~ ~J.~ DISTRIBUTION* I I COPY I I COPY GROUP I NAME E. LOCATION l S~T GROUP I NAME e. LOCATION I SENT I I I hi) RECORDS MGT. I F= ~~~ F\U:. A NC.H. ouc;. .-:1 ,/ I I FILES(OR FIRE I l I I FILE IF NONE) I CQ.\G\ ~" 1.. I / I I ,~0~~\<-R.4.'2. I I I G · E.. "eN\\--:..:: "'-c.( I ../ I I I t>oc /'LA I I I 1 Ro!.'l Co~o-fERc ,I.OM!ttA)&~ ~ I I I (9.f\. E' DSOII)-i1::'"P{, f>ORTt...I'\'NO I I I I I I I I I I I I ! I I .r c 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 c ~--...... 20 ' ! 21 I 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 ~'-41 e_· J42 J 43 44 45 46 .5010 65 STONE & WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. \5<600. 1'2.. I DIVISION f) GROUP I CALCULATION NO. 'OPTIONAL TASK CODE 4 04G - R.e:v-1 PAGE.-3:_ lo(Z4/rt.(,. l"' CALC \-1-04G ~e peQ.k o~.A.tf!o-w ~Vl:li.A..c_jl., c:>- lo~e~c:::k 1'\/V\... ~y~(~ LA-ke. . D~ .WG.S ~eleYM;.,.C!.,.f ~ ~v~\ ~v-e~ct.. C<IVI b~ ~~""-~<:\~<;., T\Ai c;, re.v,'.')~ o\'1 I ~ CALC. \.t -o"c;;. IC:. rre~~ ~ d.e..k...-~'V\,e L pea-k "v.. H\ 6 ......., ~ o ._..._ o... La r ~c."-w-i H... -tL-.t. \o o 11--o ~..\...\.. vn ti""-"~ /-D 'Ci-a-...) ~i~e.$\OrL-'1. 4)~ o.q +o I / ------~ ~-------·-- .. ..... . . ., r-\ -. ~' ' 2 3 4 5 6 7 8 9 10 II 12 13 14 15 IS 17 18 19 c· ' 20 ' 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 ,_.,.,.,.~--. ' 41 (_ )42 __.-43 44 45 46 65010 65 STONE a WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.o. oR w.o. NO. I DIVISION c. 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HI.mt;;_ .LW~~~-H!L ~J:U>.t~UJWt'! ~P-~.f'.'!.. -~• ---------=c: .. I"') ~ •• HEC-2 tt I LIBRARY REFERENCE NUMBER -EN-193 11 '"'I VERSION 01 LEVEL 00 -----.. -------------:;g .. F-11 I_ ti ---- i. DATE OF RUN -22 OCT 1986 LINK EDIT DATE t TIME -81.198 09.22.57 I> ·--··-·-~---------·- -16.27.53 -· ---u ''\ ~·------, () ~- ' l::::::::::::: : •........•............ ····· ......... . ~r ,-, ~-1 , ..... :""' __ ........ __________ _ 0' ~~-----·-·····-··. . . . . .. . . . . . . . ........... . i ..... -----------· ----------~-----------------------------u ' 1 ;_--••• !.!!.!!.!! t.! _ .... !. !!.'! ~!· !'!!."'!!. !!. '! .!'!!*!_!!_!• ......... _.!!!.'!!~!! ...... _!!!! !!!!! ••!•!••!!!'!!'! ~ ._.. !!.'! ........... •:t•!• .. ••!.!! ......... ~_!! _!!_ .... !!!~ !!.'!!! .. _ .. __ - t,. WATER S.URFAU PROFILES VERSION l'l lEVEl 00 llNK EDIT DATE t TIME-81.198 09.22.57 DAH: Of RUN-22 OCT 19a6 j · HEC-2 TIME Of RUN -H>oZ7.53 PAGE l 11 .• ••••••••••••••• ................................................................................................................... ::tt ", ! ..... IJ. --------------L ------------~ ----\fl--... -.. ~-~ -------.--~-------------- ----""'\ -----.. :__ --e----• -------- I. _____ QQQ_QQP.QQQUU J U.UUf!n~?.??.~~~;unnHH~~'rl't~H.~~:>!i~~~~!i-~5fi!f>fi!t>f!.f>S!ll~~l17171HlU .. ----- 12345678901234561890123456789012345ol890l234567890123456789012345678901234567890 ..... ·-----------------,i·-----·-·aR'Aoiev· LAKE--PR·o::lecT; ·:f;ii.:Ni:i~-i5-8oo.12 '!I '"'\ j Tl WATER SURFACE PROfilE OOWNSIREA!L.Qf...Yll'f!!U!!!:t_jU..JmEJ.. _______ ---·---------------'.....,. • T3 Q•600000 CFS, CRIT. DEPTH AT SECTION 11-11 STA 1l+74 "'.i .. ·-~·------__ .. Al _______ 9 ___________ ? __________ Q _________ 9 :-1. ......... 9 ..... ~-_____ 9 H9~~oQ .Q ! 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Tunnel and Penstock ~F~R-o~M-:~~~~----------------t-~~~~ Internal Design Pressure Wpk 06F Wpk 26C MESSAGE:-co: 0 0 0 0 Bishop Critikos Duncan Finnimore 0 Hron 0 Krohn 0 Nowak o LAUAci.tJ~ 0 0 0 Potter (2..) Sherman Yale The internal design pressure for the penstock, manifold and steel liner was reduced from 1650 feet (715 psi) to 1470 feet (637 psi), or from 140 percent of statio bead to 125 percent. Only those areas where substantial savings can be realized (penstock, manifold and lower portion of steel liner, turbine and valve) should be revised. Areas where the effect of the pressure reduction is only marginal (service water piping, gages, etc.) should be left alone ·and higher fectors of safety accepted. Some external forces from the penstock, valve and turbine acting on the foundations will also be reduced. It would be more time effective to wait for actual loads given by the successful eqipment supplier rather than ratio the forces at this time. Attached is a table summarizing revised pressures and allowable stresses for two typical materials. Design criteria and other documents affected by this change should be revised accordingly. The thrust loads and hydraulic grade lines along the tunnel are being revised. 17-Sep-86 Jay Bran Ext. 30 OA11! REPLY: • L~~-~--~ . . ' ~ -· .. ,: ~ . -. ... -:_.. . ., / (-,,, '-.,_ ( I -._,/ ·--~---,.--~-- fly d r'O R~.v I /'J I! 17-Sep-86 ALASKA POWER AUTHORITY BRADLEY LAKE HYDROELECTRIC PROJECT TUNNEL LINER, PENSTOCK, AND TURBINE INTERNAL PRESSURE AND STRESSES ~~,,%,,~~~~~~~~~~~~~~~~~~~ Pressure/Head pet of pet of A-710 A-516 (feet> (psi) static design (psi> (psi) Minimum Head 920 399 78 63 25,000 11 ,ooo Static Head 1176 510 100 80 32,000 14,000 Design Pressure 1470 637 125 100 40,000 17,500 Emergency Pressure 1950 845 166 133 53,000 23,300 Test Pressure 2205 956 188 150 60,000 26,250 Extreme Emergency 2350 1019 200 160 64,000 28,000 Pressure Note 1: A-710 is the steel proposed for the penstock, manifold,and steel liner. Fer plat~ thickness 1.25 inch and less, YTS = 90 ksi and UTS = 100 ksi, allowable stress ~or design pressure is 40,000 psi, for emergency pressure 66,600 psi, and for extreme emergency pressure 80,000 psi. Note 2: A-516 type steel with YTS = 35 ksi and UTS = 70 ksi is a typical steel used for turbine distributors. Allowable stress for design pressure is the smaller of 25 percent of UTS or SO percent of YTS, i.e. 17,500 psi. Note 3: In the above Table allowable stresses for the design pressure are shown. These stresses are ratioed for other heads and also shown in the Table. Stresses for other than design pressures are below the respective allowable stresses and thus the design case governs. 4 5 7 8 9 10 II 12 13 14 15 16 17 18 19 20 2 I 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 39 40 41 42 43 44 45 46 ... 5010 65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER \ 05 °S ow·a· ~0 sl DIVISION Ei GROUP I CALCULATION NO.lOPTIONAL TASK CODE :?? PA G E ..:::::.::::. # H 04-8 IN oRDt:~ 10 ?~OVIOE p~~S5URE' LOAD'N6-OtA~';ttfll15. v5tJJ(} rr= '- ! tvf-D~ M 1\T/0 N ON pp, (7-20 CALCUU1TF PRE55U~~) AS s tfO ')) ~J i) lJ Trt2 01 F1 G-RAMS 0 rJ Tlio St PA C1?S . . DYNAMIC M FlX · S l111K SThllC ~Rt:S$.11T PR f").hJ frE 1-AJ/MD ~RES.S\JR~ Tor OF PPrRF\Ptr (ALL CASES) S?t:E"O (ALL (A;SG 5) WI~N)) I> G I (we)( x. v-u P>=Wli/ Ps' =-w(i\'-c,) p~"~: 2.~ !-Y~) (rnph) (lb/ftt) {lh/ftt) ( lb/f-t~) 70 15t _,/~ -/0~ 80 2.12. ... -IGO ~0 27/,---21b lOO 331 ._. -272. \07 371-----0 311 I !O ' 3~3 r I~_..,.... 329 \2.0 t57" 82..~ 334- ( 2 3 4 5 Eo 7 a 9 10 II 12 13 14 15 lEo 17 18 19 20 21 22 23 24 2~ 26 27 28 29 30 3 I 32 33 34 35 36 37 38 39 40 41 l 42 43 44 45 46 45010.65 J.O. OR W.O. NO. I 'SBOO ·0'8 STONE e. 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WEBSTER ENGINEERING CORPORATION CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE /1 'a:, .< c ~-~:-..r""r ,L._. ~~,.-: ·~,_. -L_rad/~ ~ ~ ~~~J-r-...).: ~ _,:r ... ..:._ ;;:, ' CALCULATION TITLE (Indicative of the Objective)·. j,; 1 / r a.LA. C;...._..,.-/-..;5/o~ ..--, . t>:r-... ~~/.-:;, i_, CALCULATION IDENTIFICATION NUMBER CURRENT OPTIONAL J.O. OR W.O NO. DIVISIONS. GROUP CALC. NO TASK CODE w 15800-0i 'I /1 050 08 *APPROVALS-SIGNATURE E. DATE REV. NO. REVIEWER(S)/DATE (S) INDEPENDENT OR NEW PREPA RER (S)/DATE (S) REV I EWER(S)/DATE(S) CALC NO. ---' fl ~,h. N\ K..~ '. . 1-,~ "-.. 0 /. ' ,-' 7} 3::;,. o{_ ) r , t_.;'(..o.•-<-'f . t\;t.<---~..uv v ~ .. ·' ....// 1_/ - ~--' IM<r 4. I~S6 DISTRIBUTION*' I ] COPY I PAGE 1 OF zo ~ QA CATEGORY (V) 0 I-NUCLEAR SAFETY RELATED Oli om :EI )-// e:X/ ,:) OTHER OPTIONAL WORK PACKAGE NO. ~GB SUPERSEDES CONFIRMATION *CALC. NO. *REQUIRED (v') OR REV. NO. YES NO v I COPY GROUP I NAME E:. LOCATION I SENT GROUP I NAME C. LOCATION I SENT I (V) I I (v') RECORDS MGT. I fiRe hLE-P\NCt\0~~60 ,/ I I Fl LES (OR Fl RE I I / I I FILE IF NONE) 1 ORI&.-vooBtt. RA-.2.. 1 I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I ! I I I REVISION I PAGE L2_ Z.. OF 2.0 OA CATEGORY I CODE CLASS (l-r~cP?; OBJECTIVE OF CALCULATION 1o d...,:~-r-1""!1"'"" -f/., r'/ rt:-f .(;, ~ l tfJ .. . . --ft., 1 c.4-......, s..,; ,.S ru,_,;~ ..S 1 ?< 1 A , r~: .,~ ~ r----·r -ltr1 I ,., -:..12 h .. ~~- ~ L.blA-""~ /D.C.. /J- 3 ~: h:r~ i ""--r~ CONCLUSIONS ---> ;(: ~/ /' ,-i"'" I ! w~ fl!t~.J.J = s-.1 (/ 1-Qo J $..2<: tcJc:;-L~·J ~ ,_ J/ u . I t::J' 9 wo be--1 ~1 ~ cit. C:J JA : . REVIE:WER ($)COMMENTS /D.~- ;r;~s "? r1;;~ --Jr-d .L.h~ II it }1 _ /1 I I 'T ·-1 •. ....,. '-· T .. PRI!PARI!R ;Vi,,-I r; ~ ;_ REVII!WE:R /CHECkE:R INDE:PE:NDE:NT RE:VIEWER / . -- :.-. 6 I DATI! -_;., { ..,;J' 1 ~ ... --' ~ .. DATE DATI! -INTEROFFICE MEMORANDUM f)W-/7 CALC.#05D f~7:.c. 3 J.o. oR l580o. c8 . z.t;. B ... 2.. W.O. NO. SUBJECT DESIGN DATA TRANSMITTAL BRADLEY LAKE HYDROELECTRIC PROJECT FROM ~eotechnical Division ( h "":!U.t..\<.t\ v-f,/1./. ~e::;, . TO cc LDun can -.~.--; .. TCri tikos __.., JBK M1.3 "' .l .. f' INf\Ht{ot,E :::Ctv a-rd.tz..r-+o ~ ,·,.., GO ""S -t r v--< .. :t \I./I') cM ... :t-A.'\..ls I 'fO v.. r J.tu t ;)"J eM' S l. p-'L l) tJOMI·,...d "1'1(~p.JC.SJ 7.) S\>t.Jt.. ,..~ ~ S-tCJ,_x, ~ A M!.Al .tVl-reM."t ref"~·~ If" :t:pr-'f i.S Mt NLilA.;f'4-~1 tl._ fo l\ 4"'-'\NJ : y Wo..l..k... 1"re. ~h~ -zj w~ H0kt- "3~\ 1-Jt..J.-.:.-tW-.L-l'U~ ~ .I<..--L l...oAJ.. ~ -t \... .... + r c.~ d..u ~ 1-J -r/u_ s! or-;; ~ f(! <..-h 6-,.; . :r ~lso ~ {ay--t~ ck_5 ~~ o.f 1~ pawv-~ C<l f~e.. ..... ~"-" i"~ foll<~w;"" rfe111.J : J 0 w~ He.J. '* ( .r,;:{ 2~ .o<r ~bc..x. r) :J :rc_€.... l_~AJ.... ( S"f ~ .A.J A b(A).t... 0 ~ \,..a~e.... lo+:J 'OIJ cft-r-ft"c."'/ fc:t.CJL ~ . 5) ~~~ Tt'k. Cy<-le... c~fv'< f2Gv H!}l t:A;~ ~ f1,,;l{f 7i:l.t. 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I 2 3 4 5 6 7 a 9 10 II 12 13 14 15 16 17 18 19 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET .&.5010 65 CALCULATION IDENTIFICATION NUMBER DIVISION c;. GROUP I CALCULATION NO. [OPTIONAL TASK CODE H 050 ?;Ot~ /0., i/C'CJ. 7/Z-1 jJ~ ~ b so of.-U.;_ -nof Grad-ho---ka-f;u (_ u~ bso --'2. Z-1 7 I z - / ,.:,.LC • tJ, 6 . -1 c. --I w r lh~~~s -;.5 D,;>..., ~ .... w ~ b -!-(, w ) 'l':s (<!.4 2 LIT' Y.,s -1 L :Jl_ jt+ 3 -:-/:. 5" d. I/-f- ', ~~ ) -::. D. 0 I -- -rh u;, .. t ~...) -z Dso --~ -{), ~ / -- ~ bso ::: (),3 I " ~ ,._f.. -1 w""..) -z..31i _. ..-~, ?; .;.,, t..../.c.r (, ... (/ ...; Joo .::J-o /'f' ,,.,- PAGE::;:) 7 I' r·rrcr· z 4 5 7 s ... 5010 65 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. I DIVISION t;. GROUP I CALCULATION NO.JOPTIONAL TASK CODE # 1saoo.os H oso R,,.--r-;a ja,Jr-.,u So j;:f D~ U.:s/"'-"i ETL:-.d..s'r, ~;~-..) /""" J.,~cl~~?... 3 ._):Sf'· ,_u; ;.. /.;S :.L,;./ ~·t-" /· PAGE 0 ~_.,, -1~J~.rvt.:. v 9 //Jc.-1~ u r-e_ 10 13 14 IS 16 17 IS 19 20 21 22 23 24 26 21 28 29 30 31 32 34 35 36 37 38 39 40 41 42 43 44 45 46 j<'?..j /-r 1.-t c h ~ ~ i, ?~ 1.2-,I ryJr~ /,A..S "'-.J/:" ..s I )-/!j(._ ·" d >C' .. >t-~~ -- .hAJil'\.. ~ k 0-1 l;laf~- L1n1, 1-..) ?;);:._ . s~ ~I<: j,-..f ;,..., :-:::::,_ · j /D-Zb -o , It z. -':::'.5"" --J-1., 1.:;) / -S .j r t::...--k--- (!.s-I Cr.-·~~ o--- _., ' ..-:1 /'- ·4 {_,) ''".' c:_ STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET 2 4 5 65010 ll5 CALCULATION IDENTIFICATION NUMBER <;!,~, -o,_ 8 b # .·' '1 --·. 9 r ___ a--+:: ;-"::1 t.V(!)...v ~ • ' 0 r oc;....k:_ (...) , I I J:-,.._ I I 12 tJcJli 13 4 ! t!-l,7~ j .... / 14 / ,_, .::. . ..-~ '-{ .::s4 Je ...5~~~ I 5 \,j -../ 16 r· -/-::u; 17 18 -h;r 19 20 2 I 22 23 24 25 2S . . . 27 28 29 30 31 32 33 ~,II /JoT .£..:?. :·~ .. • ,~ 7 a, lrttc...R 7-118 ·~c? -=-d 50 ~ 0.3 0 4 / i"f\1#'} v) 50 -":1. j. 5 -tt:. /OQ .LJ-.! +~ Cll ...5 .:.::J,....tL. 0~ I :t-"'--/r-?.;;..,.J.J -/hI U ""-R S j PAGE 34 Z5-s.S -9 /1-'/.:.-kj 35 3S o.s-3 37 38 39 40 7 JhiU~:S -:::/.5 D/i)O I,;,.) so_.....,. --=-5-~ A I d;-12.5.J ::= /2 11 ::; 0 · 7:3 I ~ 7 /""'- 41 42 43 4S .) i){r'IIJ,_,_:./_, / 3 ... 5010.65 J.O. OR W.O. NO. # 15800.08 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER CALCULATION NO. PTIONAL TASK CODE 050 A-t -/~ ?J ~ A..o~ : ;) 0~ )../ ~ 'Jt,J-I k-1.t-r:.. ..:::r~ 7 j {;.~ --L/ 7 8 { ..5 o'-"-'C..tl bM -3) j_,_'Cie 3-Z.... 1-l -,J (. PAGE 1l_ 9 z_) I c. (!. L-oa_cJ -.,4;"" ,;_;:) t....-f ? 10 II 12 13 14 15 16 17 18 19 20 2 I 22 24 28 29 30 31 32 33 34 35 36 38 39 40 41 42 43 44 45 a) b) / ,.,.,_;0 aJ ;J~~-5~ bp._j I /I ? c.-) ? lv...cA-t\' 7 ....; d) ~-~+::-.:vi ~- I,., .. +..:; ..S/v-(..J..c...~J ~ ~~~-J /7 ~ ~.:i .;::! c/d/ n ':r·-..;_ ( :::Alt., I h ~ -f.~ .:"J :,A..::.~ .,;_>'. "' / ,L.'. • ' .. . , &~ck--~+-5. D (:S./-0rfr'-~tp -~"':3 ci 1!.-fJ {.{...__ ': 8' 3 I -::. d r-~+ ·. 1//' "";...,t.--.....-" /~ ' ;:; !S-t.;; ~ -~· -' (!J-3 d.:tJ-S>:J, ~~ ;J .:l f-S 1-n .. u:.:/.. ... ,.-e jl\.-0 y.._ -tc ~ I ~ "-.J 0-..,..e_ -:5 i'NI ;S.t,_f,...L 7 3'2:. o. ~145" ) ,1-/~- -:7"2.. {1' . r:.J072. - 46 ---- 2 3 4 s 6 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 & 5010 55 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER --:: GD4D rt: /·~'1 jc. j(-::lO ..... /) . ' ~-:)' ..s~c.;J./-1-..;....~ ~f..tCa-{ ~.,_;--. J( -=-5. I cf a ~ 3 ";( -.; de-J. ~----------------------· -· I D ~ f..:J 1~ f t/-f . v 2 2.0 3L rC',·'; /'2r - o/ • /'1 ' ~ 0 4 0 jJJ_,._d.s / J-, . PAGE .3_ / --L-J. 2 3 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 ... 5010 65 ;I ~~ w0 w~d £/U. STONE e WEBSTER ENGINEERING CORPORATION CALCULATION SHEET ; of- CALCULATION IDENTIFICATION NUMBER ~f /or;Y-f [sPH :::: / s. .s -I -..:::t c;= /,3'.3-.::---- . _., PAGE~ -----' .r, I -SP.'--~ ' I ::: -"I' :.,.7 E 4 -d I ,' -I '_ .--jt-:-1'!:;,3' -.:.. -.... - I ' c J . . ... -- -~~ ,. ·' +- -o. loB -0.74 -1-If ~ -....., I-;-" F;_1 = 1 ;::: -4470 ,j.,L._ -; 7-70 SPJV( -1 4 1-.~:_ -:: 101 -~~·"I .:-+ ,..... --w:::t• ... 5010 65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER ~r-_l_JS_o_S_oO_R_O_·_~_-O_o_8 __ ~1D_I_v_ls-lo~H-& __ G_R_o_uP--~~--c-A_L_c_u_Q~~~T-I~-N--N-O-.~~-o-P_T_IO-N-A-L-T-A-s_K_c_o_o_E~--P-AG-E-----'=--~ 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 s;, J I r I "·d I / br~ rt. 1 --f ..) --So=:: .o~! _;i )e,.f f/ ~ ~I -S. I - 322(4.7)2... r/U.e ,e;~ .:r 7-3 ,L/6 ( 1.0 _s;::::, )-!' 0 I ~--r-, ~d,h~ :~( ~ /? . .3 (YC. C~­ {_ b ~-ZJ , I ~! -.. ~ ,/'_.) . -- .007~ S~l-l ~ J-1~:; =-j, 0 h' () 7-Z 25 c 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 .A...S I""'-"' r/, =.So . =-;::) .... 4' o<-=-l 55 ( cl \ -=. d_ )-/ -7. 9 I ' b;,_. 'f b d ·. ~ .dJ-1 = t:,. 5 I _o),....i,.._ ( 0 br~t~ /YI.t:)Y ;5 ,//ac.J I !.---1-5. oc~ -=c 3.3 !' I , +~ \ .. ') : J 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 ... 5010 65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER DIVISION A GROUP 1 CALCUos:~ON NO. ,OPTIONAL TASK CODE ~:;:Sf d 5 -3.3 0 = 8· :3 7 7 /i"1 -::: 77D8 ?,..._ = 1.-~lc -----. oc' - z -;;.. /'3; /03 Rc ';::'Ky.,.. + r-1-1 1/3 .1. L-= 7/, 0 ' -Lu r//f 1,.) ( dj .;.~ )2.. ---·-------·· --- 7-3 2. <: i?' 4 .-rl/, -; -B-::;-- PAGE / z:.._ -) --- # 1 5 8 0 0 . 0 8 D\V.-H DRAFT INTEROFFICE MEMORANDUM SUBJECT STORM SURGE HEIGHTS IN KACHEMAK BAY \ fro-+~/e t:fr ~-r~-~~t'~: TO 1/11 t3 ( S/.t.of/ (f\L(. 05'0 J.O. OR 15500._ W.O. NO. DATE FROM cc January 8, 1985 NABishop Yc c~_.,..,...,.. We have completed the Phase I tasks of the storm surge study as outlined in my memo to you dated October 18, 1985. The Phase I study is summarized in the attached write-up. The storm surge heights for the 10, 25, and 50-year recurrence intervals are listed below: Storm Surge Height Recurrence Interval Sheep's Point Powerhouse {yr) (ft/BPD) ( ft/BPD) 10 12.3 12.6 25 12.7 13. 1 50 13 .a 13.3 The results show that the 10 to 50-yr surges at the project site are from 12.6 to 13.3 ft Bradley Project Datum (BPD). The narrow range of storm surge heights at the site can be attributed to the dominance of astronomical tide and the narrow range of wind speeds for different recurrence intervals in the area. Please review the results. If the project desires to refine the estimates and commence the phase 2 study, please do not hestiate to contact me. 2-113-JJ ft 15800.08 D\IJ.-H CF\L(. 050 STORM SURGE HEIGHTS IN KACHEMAK BAY DRAFT Storm surge heights at Sheep's Point and at the proposed Bradley Lake Hydro Project Power House have been estimated. The following summarizes the methodology and results: Methodology The storm surge heights at the end of Kachemak Bay are computed in three parts: a) storm tide elevation at Bear Cover, b) tide amplification from Bear Cove to end of the bay due to reduction in water depths, and c) wind setup from Bear Cove to end of the bay for winds of different recurrence intervals. Storm Tide Storm tide elevations at Bear Cove are calculated using tide gage data at Seldovia and Bear Cove. There are 21 years of data from 1964 to 1984 at Seldovia. However, only limited data are available at Bear Cove. The Bear Cove data were collected in May and June 1980. A correlation is first established between Seldovia and Bear Cove by linear regression using the 89 corresponding high tides at both gages for the May to June 1980 period. The 21 annual maximum high tides are then transposed to Bear Cove by the correlation established. Subsequently, the storm tide elevations at Bear Cove are calculated by a Pearson Type III distribution. 2-113-JJ .fl 15800.08 DI'J -H CAlC. oso The correlation between Seldovia and Bear Cove is as follows: Y = 1.038 X+ 2.669, R = 0.997 where: Y is the high tide elevation at Bear Cove, ft gage datum X is the high tide elevation at Seldovia, ft gage datum R is the correlation coefficient The annual high tides at Seldovia and the corresponding calculated values at Bear Cove are shown in the following table: Height of Highest Tide Height of Highest Tide at Bear at Seldovia AK Cove, AK by Correlation by NOAA Records Hitb SeJ.!;IQViS~. Year {gage datum) (gage datum} (MLLW datum) (BPD* datum) 1964 30.2 34.0 22.7 9. 1 1965 30.5 34.3 23.0 9.4 1966 32.4 36.3 25.0 11.4 1967 31.8 35.7 24.4 10.7 1968 30.4 34.2 22.9 9.3 1969 30.4 3!f.2 22.9 9.3 1970 29.7 33.5 22.2 8.6 1971 31.2 35.0 23.7 10. 1 1972 31.7 35.6 24.3 10.6 1973 29.8 33.6 22.3 8.7 1974 30.3 34.1 22.8 9.2 1975 30.9;1( 34.7 23.4 9.8 1976 31.~'> 35 .5.f 24.5 10 .-,.7 1977 31 .92 35.8 24.5 10.9 1978 31.58 35.4 24.1 10.5 1979 30.87 34.7 23.4 9.8 1980 31.86 35.7 24.4 10.8 1981 32.14 36.0 24.7 11. 1 1982 30.35 34.2 22.9 9.2 1983 31.15 35.0 23.7 10.1 2-113-JJ 2 ·-'"" / ·"' # 15800.08 C~.LC. 05V 1984 31. 10 34.9 23.6 10.0 *Bradley Project Datum 2-113-JJ 3 # 15800.08 Dw-H CrlLC.050 A Pearson Type III distribution is then used to fit the Bear Cove data for frequency analysis. Computer program EN-217 is used. For comparison, a frequency analysis was also performed for the Seldovia data. The results are shown in the attached figure. The 10, 25, 50, and 100-yr storm tide elevations at Bear Cove are shown in the following table: Return Period (yrl 10 25 50 100 (ft/MLLW) 24.7 25.0 25.3 25.5 (ft/BPD) 11.07 11.47 11.67 11.87 At Seldovia, the annual highest tides are taken from the monthly extreme values. However, in some years, data are not available for all months. In those cases, the maximum available is used for the annual maximum value. A review of the available data indicates that the storm tides at Seldovia are dominated by the astronomical tide component and the annual high tides are in a very narrow range between 29.7 ft to 32.4 ft gage datum. Hence, the substitution of available monthly maximum for the annual maximum for years with incomplete data should not materially change the characteristics of the frequency analysis. Tide Height AmPlification As the tide propagates into Kachemak Bay, the decrease in width and depth would amplify the tidal height. However, Homer Spit, which 2-113-JJ 4 '......, , I / '/ # 15800.08 Dw.-\1 C F\ LC. · 050 restricts tidal flow in and out of Kachemak Bay, would tend to reduce the tidal amplification. The tidal amplification between Seldovia and Bear Cove was first examined. Results of frequency analysis indicate that the 10 to 100 yr flood levels at Bear Cove are around 25 ft HLLW. The corresponding water depth is 32.4 ft (gage) at Seldovia. The mean sea levels at these two locations are 9.61 ft and 17.58 ft (gage), respectively. So the heights above mean sea level are: Seldovia: Bear Cove: 32.4 ft-17.58 ft = 14.82 ft 25.0 ft -9.61 ft = 15.39 ft The results show amplification of 15.39/14.82 = 1.038 (3.8% increase) or 15.39 ft -14.82 ft = 0.57 ft. Between Bear Cove and the site, there is some further reduction in width and a large reduction in water depth such that most or the end of the bay is exposed during low tide. These reductions will further amplify the tidal height. However, the mud flat is expected to dissipate some of the tidal energy as the tide rises. The net tidal amplification has not been calculated. However, it is assumed to be 1 foot between Bear Cove and the site based on the tidal amplification of 0.57 ft between Seldovia and Bear Cove. 2-113-JJ 5 ;S f # 15aon.os DIV. -l-\ Cf\LC. oso Hind Setup The water depth at the end of Kachemak Bay, beyond Bear Cove, is very shallow. Hind setup is likely to affect the storm tide more due to the shallow water depth. Wind setup was therefore calculated using an .I' t,.c: ~~ ~ lo J......d. 'o ,.,_:;. ,- equatiory in the 1977 Shore Protection Manual (SPM): where: s = c = H = D = F = &= Wind setup!lt 1. 165 X: 10 Wind speed, mph Depth, ft Fetch length, mi. Angle between fetch and wind direction The above equation shows that the wind setup is directly proportional to both wind speed squared and fetch, and inversely proportional to the water depth. The equation is not available in the 1984 version of the SPM. The new version recommends modeling as the best method of computing surge. Because of time limitation, wind setup is eatimated by the equation. In calculating the wind setup, the winds blowing up Kachemak Bay reported in the report, "Analysis of Wind, Waves, and Sedimentation for the Bradley Lake Barge Basin and Access Channel" dated September 27, 1985, by Arctec Alaska, Incorporated, were used. One or two nautical miles reaches between cross sections were used. A8 of zero degrees 2-113-JJ 6 # 15800.08 DIV.-'t-\ Cf\LC. 050 was used for winds blowing up the bay. The average depth of the reach was calculated from the NOAA Navigational Chart and survey data at the project site. The wind setup values are shown in the table below: Return Period (yrl 10 25 50 100 Storm Surge Heights Wind Speed l.!!mhl 57 60 63 Wind Setup (ft) from Bear Cove to Sheeo's Point Powerhouse 0.24 0.27 0.30 0.52 0.58 0.64 By adding up the storm tide elevations at Bear Cove and additional contributions, including tide height amplification and wind setup, the storm surge heights at Sheep's Point and the proposed powerhouse are shown in the following table. Wind Setup Tide Height Total Storm from Bear Cove Amplification Tide Elevation tg from Bear Cove at Storm Tide to either Return Elevation at Sheep's Power Sheep's Point Sheep's Power Period Bear CQve Point house or Powerhouse Point house (yr) ft(MLLW) {ft BPD) ( ft) (ft) (ft) (ft BPD) ( ft BPD) 10 24.7 11.07 0.24 0.52 12.31 12.59 25 25.0 11.47 0.27 0.58 12.74 13.05 50 25.3 11.67 0.30 0.64 12.97 13.31 100 25.5 11.87 2-113-JJ 7 45010 641FRONTl STONE 6. WEBSTER ENGINEERING CORPORATION CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE CLIENT s. PROJECT ' I' ~ F\LJ\)'rf ~>~ P~v,JER F\\)\\-1 OR IIi'-6Rf\DLt:-r [Y_we--YOrror::u;c , 1 -D"v. CALCULATION TITLE (Indicative of the Objective): Or',.,-Tljf-J ~=+\i~l~T &Vi\vE5 FOR "THE" fJfST:~EA 1'1 \ \"' J . . ,. . ""' C ~ 'frER. CAM f\ND E PoWER TUNNEL !NTfv::: PC>Crr PLUG CALCULATION IDENTIFICATION NUMBER CURRENT OPTIONAL J. 0. OR W.O NO. DIVISION 6. GROUP CALC. NO TASK CODE I soo.os H 00G ! *APPROVALS-SIGNATURE E. DATE REV. NO INDEPENDENT OR NEW PAGE 1 OF IG OA CATEGORY (-,1 0 I-NUCLEAR SAFETY RELATED o:c:: om rr HYDRO OTHER OPTIONAL WORK PACKAGE NO. t9 SUPERSEDES CONFIRMATION *CALC. NO. *REQUIRED (V) PREP A RER (S)/DATE (S) REVIEWER(S)/DATE (S) REV I EWER(S)/ DATE(S) CALC NO. OR REV. NO. YES NO ii MOTH'-: H l) E-1-i ~) A1 {fA·:---//~~ 0 v ,_j • ..u. r ~ ?u.!.. ·~, . .,. -:....» '1'\Jl i) ' I • ' .I I . •/'· v · I I j2ejB7 (J /' l: Oc.T II, \98~ DISTRIBUTION* I J COPY I I COPY GROUP I NAME 6. LOCATION I SENT GROUP I NAME 6. LOCATION I SENT I (y') l I (v') RECORDS MGT. :fiR~:: FIL\7-Fl~\CHX-''1'(~ ./ I I FILES(OR FIRE I I FILE IF NONE) I<()RIG--'Ji)\3 Br. R4.2.1 v I I I t=R~Nh R'(HARJ)5 I / I I : U\NC~ OIJ N C f\N I v I I I I I I I I I I I I I I I I I I I I I ! I I I CALCULATION SUMMARY D H IJiO./W. 0./CALCULAT~N NO. .. so1062 ))V.-!5800. ag /CALC OG0 REVIS~N I PAIIE U 2.. OF 10 OA CATE,_ORY /CODE CLASS :\}/A [OPH::KDIV1 KN() ntE ~OWER TuNNEL /NTAh'E" ROCK ?L\JG- OBJECTIVE OF CALCULATION -1 HG ol30l-:::CTI'JE or-11-!iS C'P....LC:JL..AnoN 15 G-IVEN oN P~~~ 4 "Dci11 1Le:/J )E>(,"',PPo~u 0 'f TltE fRO&.€/"'\ . II CALCULATION METHOD/ASSUMPTIONS T H~ \ ~ 84 SHo~ c ?ROTECTIO N MI\NU~l ( Re'f.(D) WI\S \JSEO To C~Lcuu1:e ~ r~xf'&C,ief) W~vss ~ RI)I'JUP fiND "W CESi&N l11E STOIJI? PROit.CiiOAJ. Ovt; n \Pit \EMPOR~R~ NPiDJRE o'f T1:tE "cGUIF(~P ?~oTEcnDN i\Nj) nc: 11 ~t\!Lf'~;u-;-v D'fEQ\)IP~80T \D RE~I1rR P'l'hlY D~J"\11eE 1 /l-tE \JSE of .c. S;)fiiE~.v''A~ ~;:5 c)~SE~\JPITrvr= DEstG-N TMI\tJTlV~~f:;~r-)t"l1crvvr;-.D 3"' ""i'}r;-s Prl) j)f'15 l\o;p::-t; (t-o~ t2X. I THG ST6:PEsT Sl0PE 11-\l~'r' RGro!""/1&1\J.D ts 1 v: 1·5 H ANO ;v.:: ~p=-- \)S l f\JG IV : I A· H) . CONCLUSIONS \l£5TREAr'l h ?\It} )f"<./'\ COfft~ DIV~ . ~R o-rt=c.T TI1F U/s ft'C~ !J) IT~ I~ 5~ I /1 I , 1) ~1\NOOMLY ·PLf\Ceu L-Af'Gf, of RoU&H QUI\RRYSTD1JE ~ 1TH f-,v f\ Pf;P)/;', ,~ ~~~ ~~~1'1011\JG-C>'F-; UJs-o = 3,2.GO 1~--Ds:o = 40" • v Wti)O = i3,0GO lb----+O, •• =c.t'' (If~ /CJ5ly'fC) /)) o = '+! 0 I h ~ Do = 2.0 " foR lli'E" DE)IGM \OND!T70N Or 5TILl UJi1t' LE,JEL ::-1076 I AND 5U5TfriN<:D !DO r/\ftl :N i\--JD l No Sl&~l'fiC~IJT OVER\'OPPIAJf IS EXPr:-CTGO. lliO\J&H l1tFRE :uouuD c~:: D~l'lAC~ TO --n-tt= Rl P RPIP· ) po~~rffN~Ef--o~f~t1D%f~Ct s~i~~~-trfo/:,~ . ~~~~& ~J~ srv-;r;~s:~~lO~H~ ~.~~}~~~~ ~M:[;~~ix·- REVIEWER (S) COMMENTS PRE PARER DATE REVIEWER /CHECKER DATE INDEPENDENT REVIEWER DATE 2 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 3 I 32 33 34 35 36 37 38 39 40 4\ 42 43 44 45 46 ... 5010 65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER CALCULATlQ{I) lNDEX I1Tuc-PF1et" LP\Lt\JL~TlON SUMMPI'RY INDex PLP\~ ~ 9~C\! OfJ 5 I TE/'1 s NE~DED PO? TnGLt ')F 1JAVr:5 &.. Rv NUP :AGU~ of WAv~5 & ~UNI)P ~If R fl f DES I &tV ' J 4 5 ! -II :::) '' 12. 12.-10 PAGE 3 ... 5010.65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. DIVISION & GROUP CALCULATION NO. OPTIONAL TASK CODE PAGE-.1:_ 15800.08 H 060 2 4 7 SEt= NEXT PA ~R ptj.r.J ~ sec.TTDAJS. BASED orJ CP~cC J 33 ··J?::-F@) / a 9 THE COffERPI\f1 JJITH CI\8T@ EL.. I 0~0 1 /5 r:J. rr po~ rr~:; fLCOv )r :~:::( J; 10 II vJ tTH M f1-x. w .s. a. (tV 10 85'. foR l71iJ ourrrr.7J.r: cr.~ rJLPr"~ctJ : 12 13 ('·) Dc:s/610 Rl P ~M pRon=c. noN fOrt 111r= u/5 [>ACE" oF THE 1 Jfh~rrD,4M. 14 15 ?{l'DTECTlO!J fre-f'foJST WAVE ACTJDAJ ~E',ULT7AJ6-FfrOf'l SiJSTI'r N;;:J .: J:._} /' ;;t.; 16 17 ;J I N 0 s ! 5 PES I ifE1) ( Dutr I AJG-('ON(, -m JrTlOAJ) • SoMr DI\M,f\?C i) ;\(( tr;.c;_c r =-r \ 16 19 20 21 22 23 24 26 ( 2.) CAU'ultrTe RVAJUf f{Y0;-11 uJAV8 f\c5ULT7}Jf ~~Ot1 505 //~D 2J ·· :-~ ~ I 00 f'\PH 1\!it-105 AND DEieft/1/#Je FO~ !],orrt r'A'SE:5 ')J '\Vi OV~TDPPOJG-OP l11t: 4-1 EXl79J510/J Of T(ft; 5H-PlLIIJf (:· ::_ _ ~ /v 27 NOTE" : USE" A 5TILL W \1.TER G.EVf(I!OAJ OF I 0 70 Po~ !1fE l)J AVt: 28 29 Cf\;LClJLf'rTIONS. 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SI"Y:=!l~VN0P FOK /:)0 MPH WlfJf) IS 11·1', No SUJ-AJIF:rJtAJ~ / PAGE __jf;z STILL wTR ~VIJilP EL. JD76' + 11,3' = EL. J087~'3 1 <.. -w;) oF srtm PJU: EL !J~+'. l2 EL8J filiON 1.> 1 o~o I • 13 14 16 l ":: Lio' 17 18 19 20 • 0 • 21 ~PR~PC~~l~~~--~~rr-~~~~ l---------~~s=.w=·=L.~~~I0~7~~'------------~ 23 22 - 24 25 26 27 28 EL./0?=5_' __ _ EJ_./0]>0""'--' --------.....,£-~10.-- 29 30 ~L..I020' 1~.0 LG ROCK BOLTS . 3 I s..l,=OI=O'_..""""""'~--AT B.O'OC EXCEPT AS SHOWN .,::L 1059.01 TO EL 1046.01 32 33 34 35 36 38 39 40 41 42 43 44 45 46 c::.. .) ;J7c/ s l-O.l -t 11.s' ~~&~!r. R~tJJP ::= 10 67.5'; USc )088'. • 0 • • 0. . 1-1 !!< · (.ElEV) lf f=R'jf\. p .5 ')) 1'11-1 ~0 1'01"1 SLCPt= EXf'1:1-lC2D )~11'\C,... TitE CON71Jvf i N\"{)ll'~-"'K:lO~) \-i~O.'l 7Mt p, 5 PU':N. 450 4 FRONTl 10.6 ( STONE e:. WEBSTER ENGINEERING CORPORATION CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE CLIENT S. PROJECT 1;Lf\~rTA ?owER F\\Jll10RJTY -\3RP\DLSY l.AI'If HYDtrJi::LECtrif Pr~oJGcT CALCULATION TITLE (Indicative of the Objective): Icc fo~cE OtJ DF1r~ Pf1RflPET CA LCU LAT 10 N IDENTIFICATION NUMBER CURRENT OPTIONAL J.O. OR W.O NO. DIVISION E. GROUP CALC. NO. TASK CODE \5800, DB H OGB *APPROVALS-SIGNATURE E. DATE REV. NO. INDEPENDENT OR NEW PAGE 1 OF 7 QA CATEGORY(\/) 0 I-NUCLEAR SAFETY RELATED Oli om cr H'IDPJ OTHER OPTIONAL WORK PACKAGE NO. ?5B SUPERSEDES CONFIRMATION *CALC. NO. *REQUIRED (v1 PREPARER (S)/DATE (S) REVIEWER(S)/DATE (S) REV I EWER (S)/ DATE(S) CALC NO. OR REV. NO. YES NO l\ t"' Oll-1 1 T. HuGH e.) /11 {)jtAI" ~ AAA 0 v Gi"'"'?~ ·~, "'V'V JjUJ/B7 OtT\ ) ~8C, . DISTRIBUTION* I I COPY I r COPY GROUP I NAME e:. LOCATION SENT GROUP I NAME E. LOCATION I SENT I I (v') l I (v') RECORDS MGT. :riRE fiLE-?\NCHO~~ / I I FILES (OR Fl RE I I FILE IF NONE) 10~\G-.-To~ 6l\. Rt.'Z. I ~ I I I I I I I RG.SULT5 ( P.G) ; I I I U.ncc: DurMA N I v I I I I I I I I I I I I I I I I I I ! I I I I I CALCULATION SUMMARY 0 Lj ,J.O./W.O./CALCULAYON NO. .. so1o62 lV.-r 158 00,0 g /CALC. OG B REVISION I PA8E 0 2._oF 7 CLIENT/PROJECT ALASifA PO~JE~ A\JTHORlTY -BRPDLEY Lfl"~ QA CA_T;eoRY I CODE CLASS N/A SUBJECT/ TITLE Ic~ FORt~ orv OAM PARAPeT OBJECTIVE OF CALCULATION 1\-\~ OGJEtTI\JE Of: TH!5 CI\LClJLATlON lS TO GSI!MrtTE fORCE DUE \0 \CE LOF\Difv& 0~ 11tE ~RA~ET O~J TOP Of THE" MF'IIW DP,n · CALCULATION III!THOD/ASSUIIPTIONS \rtE MECHNJISf'l. \)Y \J .. H-HCH I tE ON GRr'\i)Lt;Y L.Arrt; COlJL.O EXeRT /1 '~DRCc ON me-~f'IR~WET \5 Trl RO\JG--H THE \Ct= R10UJ6-VP THE" h1(t oF- \'1{1:: Df\1'1 DUE: TO !))1 ~D SHE""f\R STR85 010 IDP oF T1E 1 Cc SH"6"2T. ~\CP Of \'1tF ICG SrtFET 15 ~)SUM~D 10 ~E ~~ EL iiJQ.0 1 ) The NO~n?'\L MAX. O~ER "TitJG-RESERVOI/\ ELEVI\T/ DU . SHEAR STifES5 j F 'JJf\TER MOvEM8JT 0NCER l7tE" !C.G' IS \J1JD&eD TV 3~ JJEe-LJ~U3Lc \)Ue TO l1tE U)'/1) VELOCITJG5 /NVOJ,..Vi:;;D. CONCLUSIONS ~~ ~P\PH 0~ ?1\GF _G_ SHOWS THE E~TtM~Tt::O fORTt::;. D1Jc IV lCE LDADUJG-C)N TliE Pf>'iRf\{tl ?\~ f1 RJNC.TlOIJ OF W1~JO SPEeD. REV I EWER (S) COli liE NTS PRE PARER DATE REVIEWER /CHECKER DATE INDEPENDENT REVIEWER DATE .. 5010.65 J.O. OR W.O. NO. !5800. OB 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 WINO 25 {» 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER DIVISION & GROUP CALCULATION NO. OPTIONAL TASK CODE PAGE _3_ H OGB EL 1/80 (r-JD~Mf'IL MPo<. oPE"R. :JJ.5.) s· I I I 1-6 rBASELINE OF EMBANK- MENT I I /WP I • : 3EL119~0 1 .. -~ .. __ .;__ ______ ....I sc~u~ : I II= 4-' 7 8 9 10 II 12 13 14 15 16 17 18 19 20 2 I 22 23 24 25 26 27 28 29 30 &5010 £5 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER UJIND SHCF\~ OVER 1 CE J-tF\~ GsaJ CttLCUUATED Cse:: tJ<=r e" ¥ rr EXCEEI)S lltE MmiMUf"l REQ\JIRS"D 1 RlDE-vr C~N orr Jft;. PAGE_±_ r.:: , , I REFEROJCc CD 7 P. l7"t) &1VE5 llie-FoLLO\OHJ e-'fORf\\JJLA 10 cr..L- Q.\) LP\1E lliE FORCE' RE"Q\Jl!tG"O TO C. ~E f'iTE RIDE-0 P ~ I -,-1, ( I' ~?R'·= 0 F = e. fr n. L (Sit-.1 ~ + II "05 o<.) ~Jt:r~};:•~ -:')' G~ L Jl .All \,. /"'?P'-'"';£; P''~O:l'I"Ll8... ~ TL! ilf'.? S L.UP WHERE"" e = MP'-.55 o~~':>ITY OF ICe-} W~IGH1 OE"t-.)SlTY Q.-= p, ") r l'llt<:tE~FITiON or 6Rt\V. a,: ~·Z ~~~:'~~~~,l !L ( S?eC ,:;RIW. 1CE ~ t), 1 .._ oi<, J\:: \ (C:. TH' !C~ NES) . .f-t) fl 1 )-;, z. ' _ a 4 :4ns.cwvu.t/~ '/ /.<;;> + I ;<.I 0 -1..-· i .~-"'"'lh L =-l.EN~\H OF ICE RIDE~tJP ON SLOPE= (a.l!~o'-Eci!J;/.1.&}= /0 ~~ o< =-SLOPE 11NttLE FR.OM ntt MDR\ZON\7\L = P\Rc Tf'\~ f;--:c 32"" :' 51.1DING v '•\.;1 )t = COEf. OF'FR\ CTIOM . VsE Q, 03 )P-.)!~P Hl Il-k ~·.t...~:).J/.'/ .. }r:-: I .. 5010 65 2 4 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER PAGE _5_ s REF.® ( c:EE -rut) Ct>~Lc P, 7) S.1Vc.5 AtJ EGVAnoN TD CAI.-(1 JLA·~ 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 31 32 33 34 35 36 37 38 39 41 42 46 '":-[{1~ FoRce-~ER u~rr F'IREA 'PRDr IJJIJJD GWIJ)tAJG-AtRoss !Cc : t,:: C1 V/ U U~fT)= .t;; :!.: -= ~\ 32 / RGr;@j /Sto LSec') -:1 WH-E~s-U:: DGJ)ill OF AI~ (usc: o.oa&z. -t/ FOR ~tR cP o()F) 'h ~ 'JB.()(IT'( OF 1'\tR ( R /sec) v· / As~ SvR~ACE AR'ff\, \)f'OI\j w~; c H LV I~J D ACT< ( f-t z.) Cd::. M0'150RE1) DR!lf-CJEr, , j=.JR /1 IR ov~ 1(6" : St'lOOTH lCc -p C; = 1 :!' !)-• "' fin Rf\rr,~o ,cc; ~ CJ = 3 y )-; v 1-\0RIZOAJ"ml / / 1._ \o 0\)TP'-INI\ fO~Cf" ~ER fOOT OF SH1PEUN~1 1"\\JLT/PLY ~s LY 1-.st.JGTI-f ALOI.;.~:.- ~ w t-\tCH \11€ l).)lt.JD 2-lliilJ5 ove-R T1tf iCE IDWM D St-toRf, Usc: Po~ /H 1 S 4<) ,·".LC;' \NINO ~\)EE'O (MPH) "J.O. ~c. 15800.06 4500 3500 '? 1-cc z 3000 UJ -.1 u.. 0 :+- ~ ....0 ~ 2500 t- I.!J c.... a: <?:::: G: C;_ l.i.J ZOJO :::0:: ,_ 2 0 I.!J (50(} u cc £ lLJ c_) \000 Dw.-H ----------:z. ,<J "?.+. -'7 (;_"'+: CALC. 063 / / NCITE> ~ ca = OR"& coeA=tCltNT FOR f\11\ OVER ICE". WttvD FETC\1 = 4-1"\IL!::S • ToP Of \CE SHE:£1 @ E.L \\80: fORt~ I) F\PPL.IED TO PARMrr \N P... DIREC:rtO~ PAR!'\LLEL TO THE U/5 FI\C~ OF Of\M. o~------~-------+--------~------~-------+-- 70 00 90 100 \10 W l ND SPEED (MPH) \20 ~.). \-ill!}~ 2-L \o·:::· 18-Be, "J. 0. No. 15 9co , o B 01v.-H CALC. o b B (TM!S j)P..t;-G" IS FRon R~f.~. EOVP>!T10N G IS !) D ?0 5. A load supported by a good quality uniform ice sheet is generally sate if a hole drilled through the ice sheet next to the load does not result in water flowing onto the ice sheet. For long-term loads the ice sheet deflection can be monitored using such a hole. 6. Ice forces on structures -the maximum ice load that can be imposed upon a structure is the smaller of the (a) environ- mental driving forces applied to the ice or (b) the force that the structure must exert to fail the ice. 6.1 Environmental driving forces 6.1.1 Wind exerts a shear stress on the top of an ice sheet. Moving water exerts a shear stress on the bottom of an ice sheet. · The magnitude of the shear stresses is computed using Eq. 6. Eq. 6 U • density of. fluid (air or water), (pounds per cubic foot) Vd • velocity of air at a height of 33 feet above ,, ice surface or velocity of. water at a depth of 1.7 feet below the botto~ of the ice sheet, (feet per second) s~~ As • surface area upon which or water cur- rent acts, (square feet) Cd • measured drag coefficients 6.1.2 Typical values of measured drag coefficients Nature of Ice Fluid\ surface £.d. Air Smooth lxlo-3 Air Rafted 3Xl0-1 Water Smooth 9xlo-3 Water Very rough Sxlo-2 6.1. 3 Thermal expansion forces result from sudden tem- perature changes at the ice sheet surface. Ice expands according to Eq. 7. L -(Lo) (at) (0'1') +Lo Eq. 7 lt.S010.64 !FRONT) STONE f.. WEBSTER ENGINEERING CORPORATION CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE CLIENT 6. PROJECT FR· P\w1~t'ifl P,'}lf'R HvTHOKrrY -\3RF1DU:Y LAtr<: 1-h D~osu;a~tc O;)G(T CALCULATION TITLE (Indicative of the Objective): lN\J~ST!G-~TlO~ Of NEED foR P\E~PIT10f0 0~ SP1U..WI1Y ft.-ow CALCULATION IDENTIFICATION NUMBER CURRENT OPTIONAL J. 0. OR W.O. NO. DIVISION 6. GROUP CALC. NO. TASK CODE 'i53CO. 08 H 077 *APPROVALS-SIGNATURE E. DATE REV. NO. OR NEW PAGE 1 OF I) QA CATEGORY (V) 0 I-NUCLEAR SAFETY RELATED orr Om cY 1·/Y!)fri) OTHER OPTIONAL WORK PACKAGE NO. c SUPERSEDES CONFIRMATION *CALC. NO. *REQUIRED (V) INDEPENDENT PREP A RER {S)/OATE (S) REVIEWER(S)/OATE (S) REV I EWER(S)/ OATE(S) CALC NO. OR REV. NO. YES NO 1i MO\H'( "J. \-IU611?5 )f(W~-~ 0 v j0~~~M 1/ZI je? Nov.z~, ~s~ DISTRIBUTION* I : COPY I r CO P'f GROUP I NAME f.. LOCATION SENT GROUP I NAME E. LOCATION I SENT I I (V) ! I (v') RECORDS MGT. : Fl R~ ft LE-f1r\r\1CR~ v I I FILES (OR FIRE I I FILE IF NONE) :oR\6.-\JO\:>Bn ~+,~: v I I I I I I I I I I I I I I I I I I I I I I I I I I I I ! I I I CALCULATION SUMMARY D H 1.1.0./W. 0./CALCULJTION NO. REVISION I PAll .so,062 \'IJ.-15800.08/C'A\..t-No 077 0 2..oFl3 ~I!NT/PRO~CT ,........ D~ I ~ 1 '· (":).. QA CAT~IORY/COO!CLASS l-\1.-A'StfA t"'nwc::R l-,\fTHORI1i-OiAOL15.Y1.JWE nVDROG:LEC. n-<OJ:' N/A OB.J!CTIV! OF CALCULATION A~" R~suo oF F1 F.E.~. 30~RD RtJ'OMf18JD11ilOtV {Au&.£1, ~~8G, Rc:Po.~) IV PRD\Jil)E fiN f1ERF\T)Ot0 SLOT ACROSS lli6 SPILLWAY f\PRON 10 M!NlMIZ-E ?OSSIGLE Cf\~ rT~TJON F\ND EROSION Df\MAeE t)Nl)ER FLOW (,.Jfd[HTlON.5? I N\JESTIGt\lt lltE NEED FOR TttE PROV!S/OtV Or SPILLWAY f1ERP...Tlo~J, CALCUI.ATI ON METHOD/ASSUMPTIONS CD CoMPf\RE ou~ SPILLW FW wm1 ONE) 1 ~ THE UTCRATVt'e-·JJrt'ERf" l1cR~TiiJ#.J WI\S ~SU0t~ED. LOOt\ F\T \JELOCn7ts PJNl) LOC'flTION ()F l ~SLOTS. ®vSit-l~ ~ CIWITATIOU PI1R~MEl'C~ 0Er-1NED I~RE"FERENCE""(L PjNO ?-. F16-Uf\Ern0/1 ~ SP'1Mt;" REFEREJJCE' SHOUJI~&-DPIMAG€" L€118....5 fOR V/\,~1005 Cor/:oi\JATiDIJS Of 1H!S ~f1~11f\~ ffie [100itS OF S~LLWAY OP,c~f:\170AJ J CnEC 11· \~ foR OUi~ .:::X~EC.Tl=-"D SPILLVJ~'r' iJ~ LUt WILL \i)G I~ T1-t'c ' No f)AMAC-t ,, 1\'ANC-f::. @JrlOW ~~il~~ w ~~EllT ci'I\)\TA]loiJ ERo~1oM· ~~ QIJiij'1'E'lP.. IIJ ~·row~ lOAM co~s". 'JI'W I~BO CV"~E\lElli! ~G-(1'\IJlTF\i!Ol.l JrMr~~s; n -'.vDR .sTRvcT." ~~ tlAMILfDAJ;WTI\.?OUJ~ l.OAM C'oos~. "-.lov, I~BJ' @"f18ffi1lotJ i'IT \-\teti Vrucrr('fwVJ5. \'1'1 ~~11) E.T N... :tJ W~ Y~W'""l. ~OAM \OI.l)"ffi FeG.\~62.. G)"SVILUljf\'( P\ERiiT1DU Of 7'TL: 5f'fN l~():'yi)E' ?"O:rtu" )Y Ectli\,"1\. ~ Ste31;'1Jilfll1..£1\' l))TR. tME.R '!..OAt'! r;o~T~. 5X::"1'T~ @ fUJ!O MECI:!I'HJIC~ \,lJiiH t=Alci~CE~I'iS APPUCATioiJ5 \J'f DAveHoov &.. f'RA~ZJAII . ;\::ERNV-J.Itcc 1177 CONCLUSIONS It\) CON<:WJDED "THP\T IT I) UNNEC'ESSF\R'( ll) Mf1l'fE' !1NY SPe-c'AL- ? RO~IS IDt.J ~OR. S~ILLWAY ~ER F'ITfOtJ. RE:VI!W!R(S) COMMENTS PR!PAR!R DATe: REVIEWER /CHE:CK!R OAT! INOIPINO!NT RIVI!WER OAT! 2 4 5 7 a 9 10 II 12 13 14 IS 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 .. 5010 65 STONE a WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. I DIVISION & GROUP I CALCULATION NO. !OPTIONAL TASK CODE 15800. oB H 077 \ITLE P~frF SUMMMI /~[k-x INDEX SPillW~! Dls~\111RG1:=> , VELDC!TIE\ A-NO Fit>LO 061'TH-5 CuJ'Wf\R\SoN WtTH s~tt.UNft\Y5 WtttCH NEEOED ~Rf1TIOtJ I\Nf'\L'()I5 uS/ NG-P'IERI1ll01J PF\RAMI:TER . S \" \ WJJ A'< 8-ENe:RP\'L {>'\~ IH\tJ G-G f'\ 8JT D R Pl. IJ) HJ G- \\PREDICTlNG-Cf\'lrrATIO~ /tvTU~NELSPIL.UUAY) ~~ (I~cr.CD) J .:t-5 7 9 -q ro ll-13 ""7 PAGE~ 2 4 5 45010.65 J.O. OR W.O. NO. i53:JO.OS STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER DIVISION f; GROUP CALCULATION NO. OPTIONAL TASK CODE PAGE H 077 SPILL\NFW Q~sc\lP\R&e~ , Vt:LOrmt:"J . A~o R..oLU DEPnu : DISCH ~R(JfJ : frJ~ A RaO(Jfi lf)fZ'A oF lltF AMvJ.IJT oF SPILUAJ ltr-i)c;E) 6 sx.AMI~PtnuN or-e-xrtt~~~ 0 , Plftfr; 3/ 6F-REF® sHotVs fOR' fr 25 rm~ 1 a St{'HJLATION 7 SPILLWAY DI5CNA1tr%:-:I (\f1N&-JN&-rnOt1 18 CP5 TO 52cCF5. 9 10 I I 12 13 14 15 16 17 SAY TI1AT GACH DISCH MCJC PE"RlOO lUAS 5 0A't5 DU/t:P~Ol} fOR 50 YEf'R5 PLANT LIFE l Tlte-PJ J llt£"RE"" f116ttT f3f ~ 7 [)J~tOOS X ~s 18 -\HE f\MVt lS ~fWGfti3Ly G UITe CONSER\JfrT!Ve-. 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 \jEU)(' !TieS As= fiJ)U) i)::pru5 : rio. to~ OtAfT o~ p. 5 : cl) STP..RT lOITH A fi\Jf'M RvLO G rc ~s) lr) RE.LP.TC iHU TV .~ L/V!e EL. ,J>,r. r ~f\TION: . Q ~ cc.40253J)1 +2·1'-+ 2·5z~(17s-7.2a;,x~-- (lS"ISL FO~ ~ OVER )G*. SPi(.\.U.:.; r Pc'1 p, \~ .,~ ~;:] '\.\J\tc-Rt )/\ \~ 11-IE" TOTh\. tn:-q) j~ O~fi / tf'81' 1 1 NCt..V DllvG-APP1~0Aetl \jCL!lC!T'f i+€1\0 rh . :' LJ\lfE' EL. ':' \\ 60 I+)\ c) ~IND '?LOW \'E'R ~Of SPILLWAy W1Dil1 ~ = -,~ / ~) f,tJD ~~tllcffi.. vaocm· (co~saw. SINrt: f\t!VIlt.l~ liUJ)frt~ £J:>~) l"!r e:o-rron OF 5PitLWth' w~~ veurcr1 t' G1~fE1T "'tJD t'fL)O T1tt co~REJPOAJf>tAt-OEPTH e?F ftDu.l1 0 I \l\EOI\'ET. V, = ~2.~(2-tH._-~,) ~~ PAG£38'2. Or Ref.(£/. 01\~E V.=-~2~(011£ EL.-\115-d,) 1'\L':Il, 01 Coii'I1~0ilY ~,= ~' =1> ~· -=p ) ·, = t ~ ' ~' ~'Z.~(LJ\11€ a.-1135-~y , ( ()p;LPIIJf~ ()'<' ~IN.. .~ ~R~~~) 2 3 4 5 ... 5010.65 J.O. OR W.O. NO. \58oo.os SPILLW~Y 'fLOW Q (c-f s) STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER DIVISION & GROUP CALCULATION NO. OPTIONAL TASK CODE H 10\1'\L ttE'PrO ()77 fLo'fJ 0ER E•iT OF WIDTH DEPili AT )!JtmJF1r 1~Pr> i IJ ON C~BT LA~E ~ ELEV. ~ ~~ ( ft) ( f+) (c1s;~) ( f'+ ) PAGE 5 VE:\..0(1/Y Ar ')\1i_L'.I.i 1"1'( f'!PP"J tJ v, (-fo S) 6~--------~~--------~-----------+-----------+----------~----------~ 7 8 9 10 II 12 13 14 15 16 17 IS 500 lOOO 2.000 5000 15.000 23$31 (?M~) () .~'( .; i \80. ~z. •/ 2/857 ~ 0,053 " 1~ t5 nst. 45 s.7tt o. 1 a 2.2.Co IIBZ.2G-!!,42~ 0.2.08 4,05" 118-t-,05"1 28.571 v ().5'1(' 8.0(_ " l I 88.02. ,/I 95 .7/'f-y \.t~8 v ' lQ,C:,5 -/ 5+.'"35"' 54·03 ss.o:? 55-11 / 57.6 I" 5'2-60" 19 r-----------~--------~----------~----------~----------~----------~ 20 21 22 23 24 ( \)'SPL~Yru N\lt1CER Jf DECIMI\l ?LM8 AGo,Jt: hPt: rvo-, l1l 1 ND 1 cA-re-~CIUf\L ?1CC\JRI\C!) I 25 (15!"\PMtsorv w mi 5PILlUJAY5 ilJtliCH NE1=uco AE-Rfinon : 2 6 .•• .• - 27 28 29 30 31 32 34 35 36 38 39 40 41 42 43 44 45 FIGURE 1 AERATION SLOTS Slot I Tu==~ay · -,-. ~==~~~~-----------r Ramp Cross sec!ion Some 29 It of the 55 degree inclined tunnel lining was removed before installing the aeration slots. Located 150 ft upstream of the start ot the elbow, the slots are 4 ft by 4 It in cross section. They extend around the lower three-Quarters of the circumference. hi OQnF or-DAM l'l(fE ; Arrzox. Oeor = 4-0'1' +"'f/ = 5/.) 1 A~f'Ror V = 32.....,.7G 1""t: 'c "' \QS'-1> /l'b .::+/sec R~(I fl!QJ£_-CAVIi/tiJII D<:)IJ '\ CXVI~ S8J)111Vt: Tj 'JE"_J((T'(- ON lltt ORD~ . SZ: IJC- f\ ?"mrnor.J of ::~ ~JUJ~ or--v 8_oc tTY • ? . 17 o~ REF.© & ~ CF-~F.eD f\1 ~M\7 'If \~ f\:;~\10~\ ~UJ\: flf(ROll. VROP =-253' ,...1 (0,.,¥1'\PieO r) :JJi" ~· ..l.J 46~========================================----------------------------J 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 .... 5010.65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. DIVISION Ci GROUP CALCULATION NO. OPTIONAL TASK CODE PAGE jQ_ \S9oo.os H 077 P.2o rtrr.® fW~R1)X-SIZE Of \J,Rf'IDLG"'f' /J(ru:: SPIL\,.W 1'1'1' SUf~\M,~SI::-1) 0~ ~Rf'tT)11 DAti S~l( .. lUJ"'f N \JR81 DAM SPilLWAY P. 2.0 ~Ef.@ 1'-\T fl RST F\rnJTTl 0 tJ~Dt ~l(E" : ~ EL-N·ill-L. ":· DE"?t8.TIJ,~ "' ll o.o -7~-5 =)J.S (-1 x V2.3~~ :0 /00 +t, V ~ Jz.~(,.,•) = f)O fps AGF'IIl) IJO Cf'(1)1TrtT70AJ p!t:/E~!DN IS PRov10J.o uNTil ~ 8-frNO V'::_u;.· ;eJ r;;-xcttO ovtt s , PIDDl UOTf-StV1f SPILLWr1~ 0/5 SUJPE" A5 OU:~S. -At:R~1lOAJ (?ftoOV8 ().)eRe-p~oVIOfD tAJ \-UP lj\JC!'Ie/ w~cs· Vfw(rTIE5 W~~G" I~ 111G" J 7 il) +2 M,A RMJOC' ( 120 TO I '3 8 ftjsf c ~1'1-~C'E) , \tiE)~ Mf? 01)8\ 'TUJICe OtH: i2LOCm8, Fig. 9. Main dimensions of the Foz do Areia spillway. Prr I Jr 1\ERPrm~ ~EL ~ (H8,5 + Z7.ox 0·25S4-) ~ J7. 0 ~ x 3'·'23 -~"'! l2J f+- (PLU) Vt-rAT LP "<, Utrc A. SIZEML~ lt:'ltO tfi '~ .:...:v;7( ) .fl~ ~r.--J/ .: ~~ Rtlst"t. lf-rr'1~ r'RST 9/?0TE-CTJIU ·.:::c.,-.US ~T G118tTFR ~ e"L Arvo Vt:i..O( ~="5 ll'ri'\N GRITDU.:'( LA-i-11?" SPILlLVA.'t. 2 4 6 7 8 9 10 I I 12 13 14 15 16 17 19 20 21 22 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 45010.65 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. DIVISION fi GROUP CALCULATION NO. OPTIONAL TASK CODE PAGEl i5600.t)8 H 077 •1. 300.0 ___r fl. 275-<l THE 1\l?TICLE St&A.Jl f'(t.IJTC" s T7>1ic s l '' Ttte-fiRST A1 ~ SLOT r 1 6.1) U)F\5 LDC/1\TtO vJ~RE l1'tC ;v'\P<:X!i"\V."'\ LEVEL OROP CCJVU) REAC '-\ GO l'f1: J Fig. 3. San Roqve spillway, plan and profile: elevations are in metres. 11il S L.O('P..T!OO \) 10 ,A;('cJ~OA NCc= WIT\-\ iHt DESl6fJ CRtmtA Pf~O­ possn G'r ~C'H'vr:.z.. '' ~~ ,, ,} " 1 SCI-IAW:Z, G-., CAvi'f11ilON EN ve:RTEDE"RO) . -..._, , P\JDLI CI\110AJ ~.tiS , tll'>TIT'v'll: o~ -c::f:-Ot''E"RJ~ . liJP~-it...l)~U.oi' "'li;'((CO . , \1'1~ (;0 f'l\ fY 197 ft \HE H\JE CME) EX"''11Ail?D OM 11tC LMT Y£'.,(} PA-&tSilfPifY \rfF SPILLWIWJ DcSCrt\5EP I~ T1t€ UTFRATORE:'Ot~IAJG-uJ 1TH ~t~f'\TIOIJ. IN fl<;LL Cfi.S'2J i\tE' ELEVA-11otJ DROPS P'if.Jb \}ElCXfTfEJ AT THE poaJT) Ctf05C:N fOR pr ?\EftPmOt.J lJG\J\(E) ~RE" &REffl'FR. ntNJ OU ~ WORST CASE . -ri '5 /NlJICAIC5 iH?IT \!,1\-SEP ON EXPERIENCE Of 0~ OES1G1JJ ~{)E DO NO-;-~~D 11) ~RoVr{)c:: ~t:;R~\IOPJ, IN wrtA-T row10s THis cot-lcL"s'o"' 15 rvRl1tcr~, ~ERW·I!;)) \)y lt<JVEYOfrAT/~<7 C~~ ITh\101-.1 ?OIC.Wi/N.. 'b~StO ON ?I Cf\01TPr"i7DtJ ~f\~?\Mt:TER I 2 4 5 6 7 8 9 10 II 12 13 14 15 16 17 IS 19 20 21 22 23 24 25 26 27 28 29 30 32 33 34 36 38 39 40 41 42 43 44 45 46 &5010,65 STONE e. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. DIVISION ft GROUP CALCULATION NO. OPTIONAL TASK CODE 077 PAGE _a_ \5~00 '08 H 11 rvP\L Y st s us1 ~G-ef\viTATroN PP\RP\MeTE:R SEE REf.(!) ) A1TPCHE:D (P.\\-13). EQuf\TIIJtJ (I) lfJ 1112 N~.TCU~ 15 FOR CAu":JL;~:11J& Tl·rE CA•J U~JI"T5 : WI-ll:~ v ::: D1ft8JS 10fJLE55 CAVITA-non pr. f\'f\(1 .• ~ Po = Rt:FERe-NCr::-pr;t55vlt:E jhJ T-1~,}:: ~ ;_ ~~ /~V8TIGfflFP. ( lY,.t-t~ '~-> _-_ H 1 ) :) (I"\JSOLIJ!17 'k)QT R~Til)-, Prft:-:J)Jlt~ . () '4 -r>.~~-(r~ -···r--r-1' "'-L""-' -,·'-<• "~-;:::,.,-~0-3; (:;.. j Jl:: id.J'J,_;I•:-I'•j '·1.' ,,t::; nl 1 '~t •1)f\t \V1~ SLOPED 0ND 0iJ~VED 'SOR'ttlCf5 I ~Thfi~TlN'-J)li·· P~t)SVRt ()ASE"O ON DEPi'H OF OPEJJ r·iA~HJ(1 Fuw). Pv;: VMoR ~~E~St>~E" C~ttt) 1 ruAN::P;f\l'L:_~ VALUE Rl R. .5:) "F , fROfl f, S3 ~ OF ~:; OA-1-tt -t> rv ~Z·+I w (o.t! fi) =: 25.& J2.. f? = ftP..S) \)ENSIT'r OF U}t\~ ~ f :: c;z;t ff' :: l.~<f l:-t~~ C )Z.'l ~c~ · V-=-R-ef€~ENC~ VtlOC!T'( ( H/sfc) 2 ... 5010 55 STONE B. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. I DIVISION g. GROUP CALCULATION NO. !OPTIONAL TASK CODE \5~00.09 H 077 PAGE-l- 3r-----------.-----------,------------r-----------,----------~ 4 s 6 7 s 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 z:; 26 27 S YILLWR'r DePTH AT fLOW 5 p I Li.UliW i'jlft-o~ Q ~I / r ') ( c ~ s ( f+) soo ().053 1000 0.105 2_000 0.2.05 5000 o.51! 1 000 I I 4-88 23,331 2.'32.4- (D.N'F) ,\ : lOCJTY i'll RG?I'El't:\JCG "'lJ 11t'"7"\UI\) s.PILLWP\Y I'IPRD~ 'i'Rs-ssurr~ !' A'>' A 1' 8:;f\ I y, Po I r-;---' ! ~ ' I I (fps) I (\b/f1 ~) I I I =u-, )IJ LES' / :;:n-.35 2.t 20.1 J·73 v ! ' I 2-123.4 9h03 I 0.7?_.5 ~ S5.05 2..1?1. 8 :J,72_ ~- 55.~/ 2. I 46-7 :).70 v 57b( I 2209.7 J.:jj, l I 58. GO i 22(,/.8 ·-I -. -I v .'.!J/ I l zs Co~C.l\J)tO r0 ., foR Wt; R~Ner= oP v-===-0·& 7-.. o.7J uor~~J "- 29 I 30 f:/6-.2 ()~ ~Ef.-CD (P./2 0~ ll11S CALC) i C~VIT?'i7DN DAr1A 31 33 35 36 37 36 39 40 41 42 43 44 45 46 C.OtJI/NvOv 5 ~ P~f-\ITIOIJ > 70 DAn E'ST/f1ATc D or-J ~. +. ArJ::c. ·~1. 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I I I I ' ', ', -, ' '---'-'1;1 I I ', '', --,_ '""-. '---'I' 1/ I I 'I ///I I / /' I / " .)'•' I/ / ,-;,1' I 11,/ i I , 1 I I (' '-..._ .......... , EL11Jl00' '..... ____ .___.._ -~~~~ I I I I I ' ',, ,,_ '---/; 0 { I '---' \ ' ~~ / 1 I ' •,, '', ~?,; I I I ' ''-, · -y 1 I I ',__ '---_,-\-k_ J I ------------••n•:.,.~, 1 I I I ~"'/ < , / I I ----'I / II ,::-/ I I PLAN I/ // SCALEA I 1 I_,./ JtFC·10Ul H.'}} IOPP HAHO 1tFC·201 B 0~~) i 4?•~1"' ELEVATION SCAL£ A --- 2tFC--201 8 C .g. 3tFC·101 9 H·9l i i 401..0• ·r~ '="'~"i" .<c • 2.62' "< l t.CO' ,:n l '!166' R2 ~ 1.72' ,.¥ STAT()f-.j 11.7!:1.00 '~·C:O.CO SP·,...~Al ;&AS.(l.II•E ..E2.·:>:.!~~ucvg:•t·A .. rl.-'~ :'"PC~ 22.42' -r-;;~ "'' \ 34.1 l • 1~.oo· 177 PA C.~ \:!:'!S.~ CC>.:'ROlNAT£$ 0 0.01' 0.24' P1 I 26.92' I ""00' PC~ J!.J.4;• 1~62' P!:OII1?,Q2• 4~.oo· PT ~ '!1-<(.9)' .4!;>,00' 1 I ::;:::::, 1.£~ .. 'J~)( 0 LOO' 2.00' '· ")0' A:.oo• !JOO' 6.00' 1'.00' a.oo· 9.00' 10.00' 0.~2' o.es• 1.33' ,...~~ y ISPJt.LWA'( BASELlN( OVERFLOW SECTION GEOMETRY NTS 0 20 40FEET SCALE A! ,., 201~0• IIIIQTUt 11,00' 12.00' 1).00' 14.00' 1~.07' t.86' 2.4 7' ),16' l.9)f 4.76' !l-70• 6.69' 1, 76' e.Qo· I0.19'T"'HGENf CUOVE INTERSECT t, IUU A lN.(St MOTU. J, fOil Ktr«IIN. WOlU II:( llloolt 'C•IOlC• 3· I.LU""t( t:tftt'IE;f;lllol( STIII(NifM 01 CCII!CTI: AT J& Dli!ft fO • 4000 1"$1 • .t. lfolllJTnE'Id UMITMI Of:fliiiO[i.-f ON U~\'IOHo Kffii(MCI DIIIWollliiiGif f"f-lU KRJn NIH ON\ l'tl.lJMY llll""'""fltilf 1\.Nf f"'t'•IU lUlU M1lill ON\ WtUJMY '' ,oHI)MJON 1' •• Atrod PROJECT REVIEW AUGUST 1. 1986 SUBMITTAL MAIN DAM SPILLWAY GENERAL ARRANGEMENT BRADLEY LAKE HYDROELECmiC POWER PRO.ECT ALASKA POWER AVTHOArTY ~ Sto"" lt. Webcter Er>Q'I""rint Corporation l ~•Ot,AW.AM.A ~! I ---·---• i I 'I A:::':'15800-FC-201A !~ ,,._.. ..... _,,... ... , .... _ ... , .... _ ·--h=.t ~' ~::z·. ......... ;NM;• ... ·-, .... , IU -~-~-::::.:.:."'.:~'f'H05-F-13-1001-ROO :I -·- .';!:_.•""~:t .... ! """"'j ,,, j''"'l-· I .. , i ••: •• •• ••· ••• ..,., ""' -~· ~ .... ~,--., *" !'•"''""'' •u .. c ~o•c: •'• ,-" •• ~~~·-_!> PC>TTEA' --•.Yiillo.O&~H -~• ,,..,, -;!>~• 10 D tv. -__.!_H..:...----CAt.~· on lofld R. Y. DULIN MAR 4 '86 -., : . . Predicting cavitation in . . . L.. . ·~ .... t• tunnel spillways ~ . ' . ·;..;.; By H. T. Falvey · .. -· ........ ·""· ~ --: ....... : . . Hydraulic Research Engineer• . ,. A method of calculating the location of cavitation damage in spillways is presented here. This method, together with experience curves, allows damage to be estimated as a function of duration of operation. Procedures are given to design aeration grooves which can protect spillways from cavitation damage. THE PROBLEM of cavitation damage is not new. As early as 1915, cavitation was causing maintenance problems in outlet works of projects owned by the Bureau of Reclamation. In 1941. the first major damage was experienced with open channel flow. After four months of operation of the Arizona spillway tunnel at Hoover dam, a large hole developed in the concrete lining. It was 34m long, 19m wide, and had a maximum depth of 11m. At the time, cavitation was only considered to be one of six {X>Ssible causes of the damage 1• We now know that the cavitation was the principal cause of the damage. The development of aeration slots to protect the flow surface was unsuccessful 2 • The next major damage to a spillway tunnel owned by Burec occurred in July 1967. A damaged area, 38m long, 11m wide, and up to 2m deep was discovered following a flood which passed through the tunnel spillway of the Yellowtail dam. Model studies were used to develop an •ration slot which remained free or water at all scharges. Subsequent field tests proved the efficacy of lhe aeration slot, and subsequently aeration has been applied to almost all structures in which it is thought that cavitation might occur. The location of the aeration slot, and, in fact, the need for an aeration slot, are often not investigated systematically. A method has now been devised to predict the inception of cavitation on chutes and spillways, and to provide a rough estimate of the possibility of damage based on experience curves derived from Burec's struc- tures. It is well known that, when the pressure of a fluid reaches vapour pressure, cavities will form in the fluid. This process is known as vaporous cavitation. The formation of vaporous cavitation can be specified by the following dimensionless parameter: (1) The reference velocity and pressure can be measured at a number of different points. For example, with sudden inlo-the·flow offsets, the reference point may be mea- sured upstream of the offset outside the boundary layer, immediately upstream of the offset and at the maximum height of the offset, and outside the boundary layer in the plane of the offset. In each case, the reference pressure is greater than the vapour pressure. Thus, the magnitude of a when cavitation begins is greater than zero. A typical '~"' value of u for a 90" offset is about 1.8. If u is greater than 1.8, cavitation will not occur. If u is less than 1.8, ovitation will occur and the extent of the cavitation '~creases as u decreases. '1, c.r Arndt4 has found that the value of u which describes the inception of cavitation for isolated roughnesses is a Water Power & Dam Construction August 1982 " function of the shape of the offset, the height of the offset in relation to the boundary layer thickness, and the Reynolds number based on the element height. With triangular elements having vertical upstream faces. the correlationship is: U; =0.152(h/3 )'I.J 61 ( V 1iu )0 '196 (2) Arndt also studied the cavitation characteristics of uniformly rough surfaces. The incipient cavitation index in this case was found to be: u;= 16C1= 16-r/(pV}/2) (3) The case of small isolated roughness near a uniformly rough surface has not been studied. Nevertheless, the preceding equations are sufficient to study the cavitation potential of flow in chutes and spillways. One method of determining the cavitation potential for a chute or spillway is to calculate a drawdown curve for a series of flow rates. From each curve, the piezometric pressure for various stations can be calculated. The slope correction on steep slopes is: p,ly=dcosa (4) If the flow is over a boundary which has a vertical curvature. then the piezometric pressure must also be corrected for the centrifugal force. The piezometric pressure accounting for both slope and centrifugal force is given by: poJy=dcosfJ+(dlg)(V m 2/r) (5) If the boundary curvature is upward (concave), the sign of the radius of curvature is positive. If th~ curvature ts convex, the sign of the radius of curvature ts.negauve. Substitution of the appropnate ptezometnc pressures Notation• d • depth meuured normal to Row surface g • gravitational ac:a:leratton h height of offKt Pn • reference pressure p • vapourpressureofRuid , v • radius of curvature of the boundary c, • skin friction coefficient V • reference velocity Vn • velocity outside of boundary layer in plane of offset V m • mean velocity 6 • boundarywaterthickness v • kinematic viscosity a; • incipient cavitation index T wall shear thickness p • water density e 3 bottom slope y • specilicforce of water a = cavitation inde~ 13 J.O. No. l58QO,QJi DI\J.-H c s- Blue Flaming Glen Hoover•• Yellowtail Mesa Gorge Canyon• station (ml 1 0 0 0 0 0 2 59.5 78.2 99.4 149.4 89.9 3 99.7 127.5 186.5 201.7 162.0 4 375.6 198.1 516.9 659.1 528.2 reservoir elevation (m) 110.61 133.91 176.00 181.44 152.80 1 101.01 122.03 156.80 176.56 133.29 2 31.15 26.70 46.65 26.01 43.70 3 9.35 0.71 1.16 1.51 6.00 4 0.00 0.00 0.00 0.00 0.00 diameter (ml A 7.52 8.08 14.71 18.29 12.34 8 6.40 5.49 12.50 15.24 9.75 c 6.40 5.49 12.50 15.24 9.75 design discharge (m 31sl955 815. 3910 5665 2605 8 55' 55' ss• so• 55' R!ml 51.21 60.96 106.68 68.58 88.39 s 0.03388 0.01 0.0035 0.00329 0.004 • Two tdentic.N tunneit, .. TWQ a1mdar tunnM; only that on U'l• An1on• $idtl ot the Colorado tiV4Jt hal _,.,.. oxtend<Od period .. Fig. I. CcmptJrison cf tunnel spillways. and velocities into Eq. (1) allows the cavitation P.t?tential to be calculated for each point on the chute or sp11lway. If \1 is greater than 1.8, cavitation will not occur. lf" is less than Us. the height of offset which could cause cavitation can be calculated from Eq. (2). In this computation, some reasonable estimate for the boundary layer thickness must be made. A sufficiently accurate approximation is: &=0.38v1V, (6) Eq. 3 should also be calculated because if"<";· then the Lf\LC.077 surface is sufficiently rough to cavitate. In practice. it will be found that the height of the offset necessary to produce cavitation will be less than J inrn in structures having flow velocities ~reater than about 25 m/s. Often no damage is expenenced in structures where flow velocities exceed 25 m/s and the offsets are greater than J mm. Obviously, this apparent contradic- tion must be examined closely. The potential for a surface to be damaged by cavitation depends on: the type of roughness which causes the cavitation; the absolute magnitude of the flow velocity; the air content of the water; the length of time the cavitation occurs; and, the resistance of the surface to damage. With these many variables, correlationships are possible only for rather restricted problem classes. One of these classes is that of circular spillway tunnels, con- structed from concrete, built to specifications that are strict enough to yield relatively good flow surfaces. Five of BLirec's darns have tunnel spillways with operating histories which allow one to derive some general guidelines relating to cavitation damage; these are Blue Mesa, Flaming Gorge. Glen Canyon, Hoover, and Yellowtail (see Fig. 1). It should be noted that these are all constructed from the same material (concrete), have approximately the same rang:e of flow velocities (32-43 m/s), and in all probability pass water with approximately the same air content. Blue Mesa is the only exception regarding air content; its flow is controlled by a vertical slide gate. The gate slots cause high degrees of air entrainment at the spillway crest. The flows in the other spillways are controlled·by radial gates, and the flow over these crests is almost as smooth as glass. The parameters of time of operation and the local cavitation index are the two most significant parameters influencing: the damage (Fig. 2). The data can be separated mto three main types: incipient dama~e. minor damage, and major damage. Incipient damage ts defined as any holes that require special care to discover. Major damage refers to holes greater than 1 rn deep. Minor damage refers to holes between incipient and major damage. Although the criterion is subjective. the data can be readily separated into these three categories. If it has been determined that damage w1ll occur during a certain cumulative operating time for the structure, one possible course of action is to grind all sudden changes in profile to a chamfer which will not cavitate. Data collected by Colgate5 and by Jin 6 can be used to estimate the required chamfer. Their data were obtained with essentially no boundary layer and, therefore, their results are conservative. They found, for a run to height ratio (Rih) greater than 5, the incipient cavitation index is given Fig. 2. Cavitation damaga in spillway tunnals. -v-~ o,(:, 7-0.73 s 1 y l r n . 0.0. No.I5800, oB r Fig. 3. Incipient cavitation with into-the- flow chamfers. by: CT;= 1.8(R/ H)-0 ·7 " . 1. (7) For ratios less than 5, the index is a function of the offset height, Fig. 3. The chamfer values have been included on the abscissa of Fig. 2. The relationships given above can be used not only to assist in the location of aeration slots but also to guide the designer in knowing where strict tolerances are necessary. As an example, the Glen Canyon tunnel spillways can be considered. To facilitate analysis, a computer program was written to carry out the water surface computations and includes the equations given above. The chamfers required to eliminate cavitation are shown in Fig. 4 for a variety of flow rates. The results of the study indicate that the Glen Can von spillway tunnels are very susceptible to cavitation. The heights of offsets requ1red to produce cavitation are negligible. However, with respect to producing damaging cavitation at flow rates less than 340 m3 /s, the portion of the tunnels between stations 65 and 180 need special attention. All offsets up to station 65 only need to be ground to a chamfer of 1:20. A flow rate of 990m3/sis the discharge most likely to cause major damage. This damage will occur after the tunnel has operated for a cumulative period of time exceeding only 25 h at the most destructive flow rate. At a lower flow rate of 340 m3/s, the tunnel could operate for almost a month without sustaining major damage. It is obvious that damage to the spillway tunnels at Glen Canyon cannot be avoided by ngid s_eecifications on the allowable flow surface toler- ances 1f the spillways are operated at large discharges. A remedial measure which will protect the tunnels will be discussed in a subsequent article. In conclusion, it has been shown that a rather simplified Water Power & Dam Construction Auaust1982 CALI:.. 077 ehamteor, R/H ........ Fig. 4. Cavitation characteristics for the Glen Canyon dam spillway tunnels. analysis can lead to a method of predicting the formation of cavitation in tunnel SI?illways. This has been expanded, usin~ prototype expenence, to produce curves which pred1ct how long it takes for damage to occur if cavitation ts present in a tunnel spillway. These results can be used to indicate where surface tolerances can be relaxed. In addition, areas can be delineated in which the surface tolerance required to eliminate damage cannot be achieved phystcally. In these areas. the use of air grooves may be a practical remedial measure. Although the results of this study were derived primarily from tunnel spillway experience, preliminary mvestigations indicate that the curves are also applicable to chutes. More field experience is needed to define better the shape of the damage curve (Fig. 3). Obviously, the inception of damage curves should be asym~,>totic wuh the cr = 1. 76 or chamfer = 0 line. Contributions from the profession would be welcome in these areas. D Ref-nces I. KEENER. K. B. "Erosion Causes Invert Break in Boulder Dam Spillway Tunnel'., Engin~tring N~wt-R«ord: November 18. 1943. 2. BRADLEY.J. N ... Study of Air Injection Into the Flow in the Boulder Dam Spillway Tunnels. Boulder Canyon Project", Bureau of Reclamation, Division of Research, Report No. HYDI86; October. 194S. 3. BORDEN. R. C., COLGATE. D .• LEOAS. J .. AND SELANDER. C. E. Documentation of Operation, Damage. Repair, and Testing of Yellowtail Dam Spillway. Bureau of Reclamatton, Report REC- ERC-71-23; May 1971. 4. ARNOT. R. E. A., HALL. J. W., BOHN. J. C .. AND BECIITEL. W. T. "Influence of Surface Irregularities on Cavitation Perfonnance", Journal of Ship R~uarch. Vol. 23; September !979. 5. COLGATE. D. "Cavitation Damage in Hydraulic Structures", lnter- nauonal Conference on Wear of Matenals held at St. Louis, Missouri. USA; Apnl !977. 6. JtN. T .. LtN. C.. AND L!U. X. "Cavitation Inception of Gate Slots". Department of Hvdraulics. Water Conservancy and Hydro-electric Power Sctentific Research Institute, Beijing, China; 1980. 4 5010 64 fFRONTl STONE C. WEBSTER ENGINEERING CORPORATION CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE CLIENT 6. PROJECT Rx ~Lf\S"'PI \)'1\lJER fliJ'"HIQR\TY -bRP\DW:Y ~\1C: \-\YDf~OIStECJ'RJC \1 O"Jt(J PAGE 1 OF \0 CALCULATION TITLE (Indicative of the Objective): QA CATEGORY ('II) R\~8A9 \)~S,&N-0 I-NUCLEAR SAFETY RELATED Oawrw::,IRS AI\ CoFFERDAM on om cr' HYDRo OTHER CALCULATION IDENTIFICATION NUMBER CURRENT OPTIONAL OPTIONAL J. 0. OR W.O NO. DIVISION 6. GROUP CALC. NO. TASK CODE WORK PACKAGE NO. \5800 '08 \--\ 071 GP\ *A PP ROVA LS -SIGNATURE E. DATE REV. NO. SUPERSEDES CONFIRMATION REVIEWER(S)/OATE (S) INDEPENDENT OR NEW *CALC. NO. it REQUIRED (II) PREPA RER (S)/OATE (S) REV I EWER (S) I DATE(S) CALC NO. OR REV. NO. YES NO \1 MOl1iY J t-\UG+\t:) ):11W~ n ,/ v ~JHw G )iw;lu.L 1jw/6"1 {[ / (c Jf\~-tt, 1~ s7 ~F'fl'\ ;[) -?4-~- :· -' '/ ,_ DISTRIBUTION*' I l COPY I I COPY GROUP I NAME C. LOCATION SENT GROUP I NAME 6. LOCATION I SENT l I < v? I I (v') RECORDS MGT. :f\N\1-\0~~E.~ .. FtRE ~~L~: v I I FILES (OR Fl RE I I FILE IF NONE) :0Rl6-.-0o6 B~ Rt.2.: / l I I 1: P\NCE" Du NC~N, P\~. 1 ./ I I ,-I I I lfRPNn R1ntNOs-~X'-1 v I I I . I I I I I I I I I I I I ! I I I ' . CALCULATION SUMMARY .. ·"-H ,.1.0./W.O./CALCULAT)'O.N NO. 450,062 uw.-1~~nn. oA· 1 CALc. 011 OA CATE:90RY I CODE: CLASS ,'J/A OB.JE:CTIVE: OF CALCULATION \)ESIE;N R\fRf'IP PRoTEC.\lO~ \=OR THE [X)W!J'STI1Ef\M cofFET~ Df'M fOR TH~ Mf1Xt/'1Vfl fLOWS e>cPcCTC.D. CALCULATION METHOD/ASSUMPTIONS \))li'J<;.Tl1E M"Xlf\01\ VElOCITY lN IH'G VtClNIT'( OF l11E OOUJA)STf~t=fr-11 :orr-~=.~ DI'\M 1 o~-m~~c=J) FROM l1fE" HYDRP'1vu c !'1oDEL lb-:s.T 1 SIZE r~~ P:rA p \)SI ~cr \KE REf{D OE516N Ctf~. rRDTECT TO At\J ~l.EVATWtJ EX''.:2D!f!}5- 1HE .Mf1XI!'1Uf'\,O~l111tJt;0 ~LSO ~tM /He IIOOEL lBT. U~ REF.® FDR JNt>ERL.AY6R DESIGN· CONCLUSIONS ~RO\JIQE RWRP\P fROlB.TtOtV f\S Sr\OWU 0~ We CROSS-S&CTiOilltt_ ')IE·-V ON ~~ 8. WttEN Mf\IM Of'\f"\ \) flDOEV 7 (DtJTINOt t>ROTElTION ;\j ;H-rJuJ~ · 0~ l1J cl.I08C,'. REVIE:WE:R (S) COMIU! NTS PRE:PAREit DATE REVIIWE:It /CHECKER DATE: INDE:PE:NOENT REVIEWER DATE 2 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET & 5010 65 CALCULATION IDENTIFICATION NUMBER lNDEX Cf\\.C.\)L~TlO~ Tll"l£ PP\~ LP\Lt\JlPt\IOt-J SUMMF1R'1 I NDS)( De: SIGN /NtoRMPrTI Dk) O~Tft'\I~EO fRO I\ [lOfkl_ W.STS 0ESIG-N Or f"\RMOR LAY~ \)E)I Gi\J OF {11 ~OLE /..Jlr'(t:Jt Cn~c11 'fi(_TC-R\~)G GEIW~E~l 'fiLL c4 A\\JO f\RI'"oR. R2.._ (P1LSO SffETCH Or ~1fi71lf ?RO~(T1DAJ TD ~~ Pi~:J'.'~~Et). M A X W\ 1J ('\ HE I G rt T or-R I P rr ~ P A~ J1 0 R LAY~~ 0ES1&N Cl-t?IRi -Ve:LOCIT'T v s. STDtJe-OtAMETER GRP\01\11()~ C2'JRVf RA~IC-1: Pe«Mt~D 'FO~ Gt FiLl t1PrT'd-:dti_ fAr:£ \ 2. 3 4- ~-5 '~ -7 8 PAGEl 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3f 3 41 42 43 44 ... 5010 65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER PAGE 4- rRon PRtllntWtnr't COPy oE HYoi\AULIC MoCt:?cSTiJDt T-::5T RG'5ut.TJ (i~Ef.(J) ); f\1 T)G" Of DAf'l (\.E) AT D/.S COffC~OArt) : (\~X VElOCITY -= )2_ f?.S MM.. W. ), ~LGV. = \084-1 ,.-f CoNFmt\ \H~SG" VALVE) Wt-t·8J l1t1:- RcPO~T 15 OffiCifrLlY ISSUED. ,_;-y ..... 1'11/J_;:!) LO('P,TiOIIS 5 S.. 0 . v FRDn R€r. CD ( P\Ti11(HED) P. _1_ ) I FOR v = 12. FP s , o\-: 1 (1 s Pc F 1PJ1) Type Rl R2 R3 R4 R5 R6 11~ I G H TV~ \3VL"~CE" : D 50 :. I .82/ v' ~PI<£0 Hj )p~::,"'·-.': ')!11,Mr'~l~ Type from Site Prep Phase A - B B - C 0 - F E - G G - H Vo L50 ~ t3 'II r 1 " ~ 91( 1¥) l : 3, !5 i. f+ 3 W so= ~·/57 f1 3 X/cs 1J;4r;) = 521 v 1'o WEIGHT LIMITS, LBS 50 PercenP Maximum Minimum Larger than 13,000 3,000 1,000 325 175 70 (W,oe) 2,000 1,000 350 175 100 10 3, 500. 2,000 675 250 125 40 2 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 ... 5010 65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER PAGE ___.2._ TMl C\1 ~55 _:Q f _.11-Rnof-LAYE~ ~ I\Er1 GC O'f Rc:FCD G\V~5 A O~SIG-M l1tfCh'NE55 !JF .? 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WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER DIVISION u GROUP OPTIONAL TASK CODE t-\ 3 ( \fcCt'T MID OLE LA~~ : 4 6 7 9 10 II 12 13 14 15 16 17 18 19 20 21 22 24 26 27 28 29 30 31 34 36 37 38 39 40 41 42 43 44 45 46 TM I) U\ 'f r:;R l S iN \\::--:-0 0 E 0 TO s:.; IJ 11 R ff'C: llte ~RMO~ Lfl"'~ ~·.)tl me FILL 'I \ -rH ,-I\ \ .-• V": "\~ ~ ,_ [}jv l I >L:: NU • :; ljC 1JI \ r::= C O'f'A.::.~ DJ\t'\ Sttcc/P ILG"' 01\C£0 ON P. )~,0) :)f i?Er.@) ?\ f I LTt:-;? UJ 6-(' r 'f< r 1PJ ~ :_: t'1AD~ C,_ r D·~ 101' LAftG(::R t'1fi"':I1>P,<) L 5 1 ? Dt5" ()F-~I'.~,M,I'r11:f?iltl) - I; ( NITI: ; ~I'<IJ ';) t; ·)ME 0 1N )P'E"' ·r_ J' ,' ~ ·' Out,.,~~' SINt:: )5~e-:JJ ," /,!-' C~ecn t'\ 1 Rf'f\TivN ~ETJ.ltt-"11 kRt'1or~ uw~:R ~ f.\IOOLf LA-:-~:~ lR Y TY f~ ft & fOt~ f"\\O'OlE lA ~"E"R . VSI~& mTc::R('OLJIIIOt.J FOt~ Drs ~ Dss : n~f\Ot\ L?I'!G"~ TfPG R2. - (co~n' o) ~flo!'\ ?REviOI)l P~'~~ PAGE _{2_ ~.~ ""IYI. IO·~"itJ. 2 3 4 6 7 e 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 .a. 5010 65 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER J.O. OR W.O. NO. I DIVISION & GROUP I CALCULATION NO. 'OPTIONAL TASK CODE !53cJO.OH H :J79 YE"RM\S)IBLc= RJ\N~t: fOR llic e4 &Rr1DAT70N Cu~Ve. 'fP'F1 \1-k ~P\PH : / (II N. D BS" ( 5"-Flu.) :. 7.5' ir'!. . D 15 /"\!VOLE" "=:. ,.. JV\1~ Pss 1:';4 o/ G.~ ;,., v .:: O.~z.v < 5 0.11 7,) It] • o/ ,/ q, 1 '~ · .... :::. 7 5 L... 25 o.n-. I .'25 1n ' PAGE 26 S1z.G or /\iOOLG" LAYEf\ 27 28 29 30 31 32 33 34 35 36 31 38 39 40 41 42 43 44 45 46 v Z Oso ~ ( "t.J i'l.) ~ 18.(o i1). ~-6oV8HJ S !J)f ZO \f\ · V1f.1. l '5 D100 e 1.:5" ( l \ '2. j(J) =. /{o • B i ~' 'fuR (~\DDu: LAYt:t~J VSt: T/fe RC, ~UrCED A MIN!MUtl OF 2.0 IN. Ti+!CIT ( rc-~~PeNDICUlf\1~ TO R'?ffi~P SUifFACE'") I 2 3 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 • 5010.65 J.O. OR W.O. NO. ~~5800. 0 B STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER DIVISION ft GROUP CALCULATION NO. OPTIONAL TASK CODE 1-\ 07~ ~? ' 1\-• G-eoT8'Hf\l 1 i"A:L VIV WOUU0 Llr'~ TO EL/;'1)/.VftTC" THe ('11u'u ~(:: LA!~ (R G) SOUTH of TH~ SHtf'T ~ /lE PAGE_3_ / 1.25 11/ SHEETPILE 2.0' TYPE R6 RIP RAP ( Typ; C.~OSS-5ECT10/..J Or )/S COIT1=~Df'l!1 /'\NO UHOGR PMT a'F-DIS SlOt Dr 1!VJl\1 tJ DF-\1'1 . 2.~.~ if). :: 7,5 i'l. / 3."1 <. 5 0.1\. MP-IX. \--\1?)6+tr OF R'PRF\P 1\R/\OR LAYGR. : ()~S~D ON (Y\P'IX. W~TFR U:vEL @ EL. lOB+' PURINe-l1tc ?(·i? (SttP.tj (?RO\)IDE PROTECTIOtJ "Tb EL· /OBG', I"' '---<- ..,. ,, ...../ ~, --- 1000 IH, &00 ~{:;: -= m HICH TURBULENCE ~ ,tJJ- &00 (STILLING BASINS) " Ill ""l:ci !: IIJ -- >-"' IDS • , 1' NJ 400 f 1/ w 300 II) -'.ZOO 't{IDJ-:=~ / r/ X ~ /IS -~:o:, . / 1/. -' 'I> IU _._ , . '· :u ;::; Ill I I I I II .. ISS .-.... , " ~ /I/ 1/ I I 71! 11 ~ ~~~-~V/J g 1oo ill I II 1/ I , /.1/ Ill S( &0 IJJ }~ ~ us ~ l /JJ ~ LOW TURBULENCE ::> 60 t-IIS ;,! (RIVER CLOSURES) l =t-IIJ '< Z r" IDS ~ i . ' ::llllllllllf\ \IIIII zoi-+H+IL-ftf-A--..t-ft~-1~1+-f-1 I I I I I I I I I IO' I 1 If! 4 f II lC [ J l!f I /1 II ! ' I I l t I I I ! I I I I l 4 fYM! 1 I I ! I l f! I I I l I I I l J J I It 1 I I I I I ~ ' 1 a • 10 12.. 1• 18 zzlo... o.~ o.o --• • IW(RACE VELOCITY, fPS SPHERICAL OIAI.I(T(R O>o• FT BASIC EQUATIONS WH(A(: V • VELOCITY, fPS v • r (Ys-Yw)J"Z( )liZ C e9 'fw D~o (6W~o)113 D~o"' nrs 7 1 • SPECIFIC STONE WEICHT, LB/r'T l Tw • SPECifiC WEICHT Of WATER, 6Z.~ LlllfT 3 w,0 • WEICHT Of STONE. SUBSCRIPT O(NOTE S PERCENT Of TOTAL WEICHT Of MATERIAL CONTAININC STONE Of LESS W(ICHT. D>o • SPHERICAL DIAI.IETEA Of STONE HAVING THE SAl.<( WEICHT AS W>o C • ISBASH CONSTANT (0.86 fOR HIGH TURBULENCE LEVEL fLOW AND I.ZO fOR LOW TURBULENCE L(V(L fLOW) • ACC(L(RATION Of CRAVITY, fTIS(Cz STONE STABILITY VELOCITY VS STONE DIAMETER HYDRAULIC DESIGN CHART 71Z·I (SH(( T I Of l) RC'J e·.a, 9-7o W[$ &· H 'i ~ ' . , .. ,,, ~· ::fl: ~ U1 U1 0 0 . 0 CD C) <. I :r 9 r- 1) -:¢ 0 ~J _o ~ Q ITr --9 \ \1; li ·~ F' i~ ·.I J ~ ~I ' . .. SIEVE SIZE IN INCHES 100 90 80 TO 111\1 I li' !c C!t Ci it 6011111 ~ a: ~ ~Ill I I I i I il iL ~ 11.1 u a: 11.1 0... 30 II I I I I+HI l il ! 20 II II I I : I il I il ! I II lo 1111 I Ill il : il I lit I I I I U.S. STANDARD SIEVE SIZE 0 II I I I I I I II • •I • I I !•I I I II I . n I II 0 r 1000 200 100 GRAIN SIZE IN MILLIMETERS ~~ . ~ ~ ~ ~ 0.01 COBBLES GRAVEL SAND UNIFIED SOIL COARSE FINE MEDIUM FINE SILT OR CLAY CLASSIFICATION SYSTEM CLASSIFICATION I I I SAMPLE No.\1 ----.. 1 .. ·· · 1 1 LAB TEST NO. BORINO NO. OEPtn CURVE SYMBOL '@~ .. q' flU f"l\f\TF\\'If\l. v;~ corr&t:O.riM ) DATE: 1 I . . . . I r:l FIG. GRADATION ANALYSIS CURVES FILE: ~-"'--·-·------· -·-- • 5010.64 !FRONT\ STONE f. WEBSTER ENGINEERING CORPORATION CALCULATION TITLE PAGE *SEE INSTRUCTIONS ON REVERSE SIDE CLIENT ~PROJECT ~\ ;:.b P\LF\SI1A · tJ\N~R P\\Jll-\ORITY -13~f-'-..DL.S'l' LA11s 'i'DPoEu=CTR'C \ 1-zoJ. CALCULATION TITLE (Indicative of the Objective): FtLLlt0G SR~OLE:i LAtrE RESER\JO\R CALCULATION IDENTIFICATION NUMBER CURRENT OPTIONAL J. 0. OR W.O NO. DIVISION & GROUP CALC. NO. TASK CODE 15<300 .05 H 0 8! *APPROVALS-SIGNATURE &DATE REV. NO. REVIEWER(S)/DATE (S) INDEPENDENT OR NEW PREPA RER (S)/DATE (S) REV I EWER (S)/DATE(S} CALC NO. 11\~o\HY J.1-\Vet\BS :!'o 'M !.J \(. ~~ I'J !>J ItA, Cl rn ·. 0 ~~Jj_ ~ f:W.~-c: ' c v-:, f";_J~ M~~c.~ ,1~7 t'IA.R..c..~ '1 : ~~ :17 l\ f'\OiH'1 J. t-\UC:tiE.S -..;~::'r,r. f,-' ~ • .,..,. "")P ·· I ~i~b");Jt ~. ~ ~J .'.--(. l>'l._.,_..,. 'J i"\1\Rc-.\\ II,\ .. ) A~ P-9' I ~ '3 1 DISTRIBUTION* I I PAGE 1 OF 8 OA CATEGORY (V) 0 I-NUCLEAR SAFETY RELATED on: om rs{ \-\'!'DRO OTHER OPTIONAL WORK PACKAGE NO. SUPERSEDES CONFIRMATION *CALC. NO *REQUIRED (\1) OR REV. NO. YES NO / ·----r-- / -. ~·· ~·--· f-·--·- I coPY GROUP I NAME f. LOCATION : COPY l SENT GROUP I NAME & LOCATION I SENT I (v') _l I (v') RECORDS MGT. :ftR\:: f='ILE -f\ti(HC,f>..C<t: "'~' vi.;) I I FILES (OR FIRE I I FILE IF NONE) bR \&.-\foB\)]! Rt:Z-I V R~ V·l ~) I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I ! I I I 'CALCULATION SUMMARYD \ J"'·O./W.O./CALCULATION NO. REVISION/. I ftA&E 8 i-501062 w.-r \5800.08 CALi'. 081 0/ I 2. Of ~L~'S~~R~~~~~R 1-\\ITHOR\iY-\3RJ'\vLEY LAt-r€' HY o~oa.Ea-r~:c PRo7r. QA.~;AE&ORY' COO! CLASS SUB.I!CT /TITLE flwr-JG--~RP~uLEY LAt7t= ReSERVOIR OBJECTIVE Of CALCULATION \)SI~~ fl\\Je NeT ?\VNL!\GLe STRefll\r'\fLOW Df'ITA_; C!1L.CVLftTE lliE R\Sf )t-,l UJ~1ER SvRFACE' ELEVfiT\Okl OF ~R~DLE'f l._Arr6 DURIN&--FIWNG ~SS!JMitJ~ 1-\~ !NlTi~l ~f'ITER SvRPAC6 ELGiifrTIOIJ OF 1080 fT. CALCULATION IUTHOD/ASSUMPTIONS -L~ht \) IN\1H\LL't' ~T EL 1080. -No ~OUJER ~af!(Tlo~ 1 s Ct\R~IED o\JT. -j\Ju\\f'\1\L ~\Sf\ fLOW Ra~se:> LGU!li lNTD DP-iTA) A:Re GE/t\Jf .fVJADE. -('\1E:t~ 1\-\R~E Ci\SGS fOR f'i STh~TIN()-DT"ilF T=-0~ \=ILU/\S ; . \ \J JUNE' I [\81.1 : (1'\~~y OIJT CAL_(\J;/'Tii)~-'.,NTII::: I (~ 2..)J~ VG-15 R GS<= R\JO\ ~ 1 s ~VLL Fo·~ r.::: f\ ( H J ::-TH i::: 1 ·R§V. 0: 1:!l SEPl. 1 T14:~8? CP\SES . j l'Of"'\POTr-::-R\<;F \Hi<n' ... H T'rfF cNfl 0~ Ot::r<._:-MPx_.::R IN E:Att\ (';\S~ .--.J--. coNcLusioNs Re:v. o: ~.\0 0'{= THIS ~6rERENC~ ~RO\IICES T'nE SPIME. \NtOi<t''"TlOt.l ~.S \i'I\3LE ~1-.S-1 oF ReF. CD ) vP o~IEO To 1 ~ u.uDc TH REc MORe YEP,R S O'f i)PITh . l~LSO ~vERA0E S P'<.RE (1\L.<:vLPitE D • St=fZ ?. 4-RJR cu~~e-SnOWt~G-\)Jf\TER. SORFFlCE ELEV. vs. DPrrt= '!7:.o8 C.F"';SG" 3 • SEE p. GJ ft>R St/1\L"R CU~'/65 FoR CPI.SE"5 l 1 2., &. 3 . · Re-v. 1 : SEE" P. 8 fOR cuR\JES SHoLVttJ~ WhTFR svRf?rCG" E/..ErJ. V5 PI1TE Fo1~ CI\SE'5 '1 2., !.J 1 C'I\R~'l'IN<3-'i1tF Cf\LCVLI\TIOiv UNTlllltc i?ESEI~\JD!.~ 1 s FVLl FOR ~cH or-nte-l1iR'tG CF\st:s. REVIEWER (S) COMMENTS PRI!PARER DATE ltEVIEWI!II/CHI!CK!R DATE INDEPENDENT REVIEWER DAT! 4 5 6 7 8 9 10 II 12 13 14 15 16 17 18 19 20 ... 5010.65 J.O. OR W.O. NO. . oo' 08 VJf'IT?R SuRFf\C~ ELGV. \080 \\0 0 112.5 \ t50 \\75 \2.00 STONE 8. WEBSTER ENGINEERING CORPORATION CALCULATION SHEET CALCULATION IDENTIFICATION NUMBER DIVISION Ei GROUP CALCULATION NO. OPTIONAL TASK CODE H :P-ir 1\crrY A(X)vE" ;"1lN OPER. LMlC: SURf1\cG (~c-rt-) 0 3G,33/ v 961072.. v' \75,707 / 2.~41 50Z. / ]&2.,(,~ ./ JBI [).. 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