retaining wall design to bs 81101997, bs 80021994. bs 80041986 etc

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RC WALL

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DATAOPERATING INSTRUCTIONSProjectSpreadsheets to BS 8110etcREINFORCED CONCRETE COUNCILENTER DATA IN BLUE CELLS ONLY.ClientAdvisory GroupMade byDatePageRED MESSAGES INDICATE ENTRY ERRORS.LocationGrid line 1rc36490.0101RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.CheckedRevisionJob NoOriginated from 'RCC62.xls' on CD 1999 BCA for RCCchg-R68IDEALISED STRUCTURE and FORCE DIAGRAMSDESIGN STATUS:VALIDWARNING :Passive pressure shouldonly be considered if itcan be guaranteed thatthere will be no futureexcavation in front ofthe wall.DIMENSIONS (mm)H =3200B =2750Tw =250Hw =100BI =1000Tb =400Hp =200BN =0TN =0Hn =0MATERIAL PROPERTIESfcu =35N/mmgm =1.5concretefy =460N/mmgm =1.05steelcover to tension steel =50mmMax allowable design surface crack width (W) =0.3mmConcrete density =24kN/mSOIL PROPERTIESWall GeometryDesign angle of int'l friction of retained mat'l () =30degreeDesign cohesion of retained mat'l (C ) =0kN/m(Only granular backfil considered, "C" = zero)Density of retained mat'l (q ) =20kN/mSubmerged Density of retained mat'l (qs ) =13.33kN/m[default=2/3*q (only apply when Hw >0) ] =13.33Design angle of int'l friction of base mat'l (b) =20degreeASSUMPTIONSDesign cohesion of base material (Cb ) =10kN/ma) Wall friction is zeroDensity of base material (qb ) =10kN/mb) Minimum active earth pressure = 0.25qHAllowable gross ground bearing pressure (GBP) =200kN/mc) Granular backfilld)Does not include check of rotational slide/slope failureLOADINGSSurcharge load -- live (SQK) =10kN/me)Does not include effect of seepage of groundSurcharge load -- dead (SGK) =10water beneath the wall.Line load -- live (LQK) =15kN/mf)Does not include deflection check of wall due to200= HpLine load -- dead (LGK) =20kN/mlateral earth pressuresDistance of line load from wall (X) =1000mmh) Design not intended for walls over 3.0 m high34.121.07LATERAL FORCES (unfactored)Ka =0.33[ default ka = (1-SIN )/(1+SIN ) ] =0.33Kp =2.04[ default kp = (1+SIN b)/(1-SIN b) ] =2.04Kpc =2.86[ default kpc = 2kp0.5 ] =2.86Kac =1.15[ 2ka0.5 ]ForceLever armMoment about TOEgfFultMult(kN)(m)(kNm)(kN)(kNm)PE =34.12LE =1.06736.411.4047.7750.97PS(GK) =10.67LS =1.6017.071.4014.9323.89PS(QK) =10.67LS =1.6017.071.6017.0727.31PL(GK) =6.67LL =2.3615.741.409.3322.03PL(QK) =5.00LL =2.3611.801.608.0018.89PW =0.05LW =0.030.001.400.070.00REINFORCEMENT DENSITYTotal67.1798.0997.17143.10169.5 kg/mPP =-6.12(LP-HN) =0.10-0.601.00-6.12-0.60

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DATA0275040040032003200400400000000

STABILITYOPERATING INSTRUCTIONSProjectSpreadsheets to BS 8110etcREINFORCED CONCRETE COUNCILENTER DATA IN BLUE CELLS ONLY.ClientAdvisory GroupMade byDatePageRED MESSAGES INDICATE ENTRY ERRORS.LocationGrid line 1rc36490.0102RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.CheckedRevisionJob NoOriginated from 'RCC62.xls' on CD 1999 BCA for RCCchg-R68EXTERNAL STABILITYSTABILITY CHECKS :OKokOVERTURNING about TOEF.O.S =1.50(using overall factor of safety instead of partial safety factor)LOADING OPTIONOverturningLateral FORCE (kN)Lever arm (m)Moment (kNm)(select critical load combination)MomentsPE =34.12LE =1.0736.40EARTHOPTION FACTORSPS(GK) =10.67LS =1.6017.071.00PS(QK) =10.67LS =1.6017.071.00PL(GK) =6.67LL =2.3615.741.00PL(QK) =5.00LL =2.3611.801.00PW =0.05LW =0.030.001.00 P =67.17Pp =-6.12(LP-HN) =0.10-0.60Warning:Under some conditions,surcharge & line loads may have stabilising effects on the structure, and it is recommended that stability checks should also be carried out without these loads. Mo =97.48RestoringVertical FORCE (kN)Lever arm (m)Moment (kNm)MomentsWall =16.801.1318.90Base =26.401.3836.30Nib =0.000.000.00Earth =84.002.00168.00Water =0.002.000.00Surcharge =30.002.0060.00Line load =35.002.2578.75 V =192.20 Mr =361.95Factor of Safety, Mr / Mo =3.71> 1.50OK1SLIDING(using overall factor of safety instead of partial safety factor)F.O.S =1.500.90.8Sum of LATERAL FORCES, P =67.17kN0.70.6PASSIVE FORCE, Pp x Reduction factor (1) =-6.12kNRed'n factor for passive force =1.000.5BASE FRICTION ( V TANb + B Cb ) =-97.46kN0.4Sum of FORCES RESISTING SLIDING, Pr =-103.58kN0.30.2Factor of Safety, Pr / P =1.54> 1.50OK0.11GROUND BEARING FAILURETaking moments about centre of base (anticlockwise "+") :1Vertical FORCES (kN)Lever arm (m)Moment (kNm)Wall =16.800.254.20Base =26.400.000.00Nib =0.001.380.00Earth =84.00-0.63-52.50Water =0.00-0.630.00Surcharge=30.00-0.63-18.75Line load =35.00-0.88-30.63 V =192.20 Mv =-97.68Moment due to LATERAL FORCES, Mo =97.48kNmResultant Moment, M = Mv + Mo =-0.20kNmEccentricity from base centre, M / V =-0.00mTherefore, MAXIMUM Gross Bearing Pressure (GRP) =70kN/m< 200OK

STABILITY69.733905769269.740185902169.746466034969.752746167869.759026300769.765306433569.771586566469.777866699369.784146832169.79042696569.796707097969.802987230769.809267363669.815547496569.821827629369.828107762269.834387895169.84066802869.846948160869.853228293769.859508426669.865788559469.872068692369.878348825269.88462895869.890909090969.897189223869.903469356669.909749489569.916029622469.922309755369.928589888169.93487002169.941150153969.947430286769.953710419669.959990552569.966270685369.972550818269.978830951169.985111083969.991391216869.997671349770.003951482670.010231615470.016511748370.022791881270.02907201470.035352146970.041632279870.0479124126

&APage &PBEARING PRESSURE (KN/m)

DESIGNOPERATING INSTRUCTIONSProjectSpreadsheets to BS 8110etcREINFORCED CONCRETE COUNCILENTER DATA IN BLUE CELLS ONLY.ClientAdvisory GroupMade byDatePageRED MESSAGES INDICATE ENTRY ERRORS.LocationGrid line 1rc36490.0103RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.CheckedRevisionJob NoOriginated from 'RCC62.xls' on CD 1999 BCA for RCCchg-R68STRUCTURAL DESIGNS (ultimate)(Ka*q*((H-Tb)/1000)^2/2-(Ka*(q-QS)*((Hw-Tb)/1000)^2/2-COH*Ka*(H-Tb)))DESIGN CHECKS :OKokIF(Hw>Tb,(Ka*q*((H-Tb)/1000)^3/6-(Ka*(q-QS)*((Hw-Tb)/1000)^3/6-COH*Ka*(H-Tb)^2/2))/(Ka*q*((H-Tb)/1000)^2/2-(Ka*(q-QS)*((Hw-Tb)/1000)^2/2-COH*Ka*(H-Tb))),(H-Tb)/1000/3)WALL ( per metre length )ForceLever armMomentgfV ultM ult(kN)(m)(kNm)(kN)(kNm)EARTH26.030.9324.301.436.4534.02SURCHARGE(GK)9.331.4013.071.413.0718.29SURCHARGE(QK)9.331.4013.071.614.9320.91LINE LOAD(GK)6.671.9613.071.49.3318.30LINE LOAD(QK)5.001.969.801.68.0015.69WATER0.450.000.001.40.630.00Total56.8273.3182.41107.21BS8110referenceMAIN REINFORCEMENT :Min. As =325mm2Table 3.25f =16mmcentres =125mm< 220OK3.12.11.2.7(b)Asprov =1608mm2> 325OKMOMENT of RESISTANCE :d =192mmz =169.46mm03.4.4.4As' =0mm2x =50.0835707178xmax =96Mres =119.42kNm> 107.21OKz =169.462393177Fcmax =1350.72Mr =119.4160542604Fs =704.67584SHEAR RESISTANCE:As' =-1474.6660173913100 As/bd =0.84%Mr' =104.6581597457vc =0.80N/mm2Table 3.8Vres =153.74kN> 82.41OK3.5.5.2Ultimate Bending Moment DiagramCHECK CRACK WIDTH IN ACCORDANCE WITH BS8007 :X =75.21mmAcr =77.27mmem =0.0016364718BS8007W =0.29mm< 0.30OKApp. B.2REINFORCEMENT SUMMARY for WALLTypefCentresAsMin. Asmmmmmm2mm2VERTICAL EXT. FACET10200393325OKVERTICAL INT. FACET161251608325OKTRANSVERSET10200393325OKProjectSpreadsheets to BS 8110etcREINFORCED CONCRETE COUNCILClientAdvisory GroupMade byDatePageLocationGrid line 1rc36490.0104RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.CheckedRevisionJob NoOriginated from 'RCC62.xls' on CD 1999 BCA for RCCchg-R68OUTER BASE ( per metre length )BS8110gf =1.46(default = ult mt / non-factored mt. ) =1.46reference88.1855413232V ult =86.79kN44.0927706616M ult =53.64kNm(TENSION - BOTTOM FACE)BOTTOM REINFORCEMENT :Min. As =520mm2Table 3.25f =12mmcentres =200mm< 762OK3.12.11.2.7(b)Asprov =565mm2> 520OKMOMENT of RESISTANCE :d =344mmx =17.6075053305xmax =172z =326.80mm3.4.4.4z =326.8Fcmax =2420.04As' =0mm20Mr =80.96064768Fs =247.7376Mres =80.96kNm> 53.64OKAs' =-4958.5163478261Mr' =64.6187914518SHEAR RESISTANCE:100 As/bd =0.16%vc =0.40N/mm2Table 3.8Vres =138.35kN> 86.79OK3.5.5.2CHECK CRACK WIDTH IN ACCORDANCE WITH BS8007 :X =68.49mmem =-0.0007622661BS8007Acr =108.61mmW =-0.18mm< 0.30OKApp. B.2INNER BASE ( per metre length )V ult =81.20kNM ult =89.46kNm(TENSION - TOP FACE)110.2319266541TOP REINFORCEMENT :Min. As =520mm2Table 3.25f =16mmcentres =150mm< 766OK3.12.11.2.7(b)Asprov =1340mm2> 520OKMOMENT RESISTANCE :d =342mmx =41.7363089315xmax =171z =323.22mm3.4.4.4z =323.2186609808Fcmax =2405.97As' =0mm2Mr =189.8036511919Fs =587.2298666667Mres =189.80kNm> 89.46OKAs' =-4151.4720434783Mr' =154.4662580997SHEAR RESISTANCE:100 As/bd =0.39%0vc =0.54N/mm2Table 3.8Vres =184.02kN> 81.20OK3.5.5.2CHECK CRACK WIDTH wrt BS8007 :(Temperature and shrinkage effects not included)X =99.03mmem =0.0002216404BS8007Acr =86.81mmW =0.05mm< 0.30OKApp. B.2REINFORCEMENT SUMMARY for BASETypefCentersAsMin. Asmmmmmm2mm2TOP (DESIGN)T161501340520OKBOTTOM (DESIGN)T12200565520OKTRANSVERSET12200565520OK

Print SheetPS(QK)PL(GK)PL(QK)PS(GK)PW

DESIGN00.0229972890.0919891560.2069756010.36795662390.57493222490.82790240391.12686716081.47182649571.86278040872.29972889962.78267196853.31160961543.88654184034.50746864325.18994815196.87352803288.603102491610.378671528512.200235143314.067793336115.981346106917.940893455819.946435382621.997971887324.095502970126.239028630928.471208353530.924114512733.454274768136.063328197738.752913879641.524670891944.380238312547.321255219450.349360690853.466193804756.67339363959.972599271863.365449781166.853584245170.438641741674.122261348877.906082144681.791743207185.780883614489.875142444494.076158775298.3855716849102.8050202514107.3361435528

&APage &P< base WALL (m) top >MOMENT (KNm)

WEIGHTProjectSpreadsheets to BS 8110etcREINFORCED CONCRETE COUNCILClientAdvisory GroupMade byDatePageLocationGrid line 1rc36490.0105RETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.CheckedRevisionJob NoOriginated from 'RCC62.xls' on CD 1999 BCA for RCCchg-R68APPROXIMATE WEIGHT OF REINFORCEMENTNo.TypeDiaLengthUnit WtWeightWALLVERTICAL - External face6T1028800.61710.65VERTICAL - Internal face9T1629281.57841.59TRANSVERSE (Ext.& Int.)30T1010000.61718.50BASETOP (MAIN)7T1628781.57831.80BOTTOM (MAIN)6T1228460.88815.16TRANSVERSE ( T & B )28T1210000.88824.86WALL STARTERS (Ext.)6T1011250.6174.16WALL STARTERS (Int.)9T1613651.57819.39NIB(assume same reinforcement as wall)INTERNAL FACE (MAIN)6T10800.6170.30EXTERNAL FACE (MAIN)9T161281.5781.82TRANSVERSE (EXT.+ INT.)2T1010000.6171.23SUMMARYApprox total reinforcement per metre length of wall (kg)169.5

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DiagramsProjectSpreadsheets to BS 8110etcLocationGrid line 1DATA FOR DIAGRAMS IRETAINING WALL design to BS 8110:1997, BS 8002:1994. BS 8004:1986 etc.sheet 1 of 2Made by rc Job No R68Originated from 'RCC62.xls' on CD 1999 BCA for RCCDate26-Nov-99DESIGN STATUS:VALIDIF(ABS(ECCY)>B/1000/2,"BEARING FAIL",IF(ABS(ECCY)>(B/1000)/6,(2*VL)/(3*((B/1000)/2-ABS(ECCY))),(VL/(B/1000)*(1+(6*ABS(ECCY))/(B/1000)))))IF(ECCY>(B/1000)/6,IF(XX>(B/1000/2-ECCY)*3,0,(((B/1000/2-ECCY)*3-XX)/((B/1000/2-ECCY)*3))*BP),((VL/(B/1000)*(1-(6*ECCY)/(B/1000))))+(B/1000-XX)/(B/1000)*(BP-(VL/(B/1000)*(1-(6*ECCY)/(B/1000)))))2.75170.05070.0530.27570.0530.5570.0530.82570.0531.170.0531.37570.0531.6570.0531.92570.0532.270.0532.47570.0532.7570.0532.750.000IF(ECCY

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