corbel design cb1

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Logo Slave Island Tata Housing Project SUBJECT Corbel CB1 REF CALCULATIONS Input Data: Ultimate Load (Fv) = 711 kN Column size Width (b) = 400 mm = 400 mm Length of Bearing Plate (l = 400 mm Distance to Load (av) = 150 mm Grade of Concrete (fcu) = 45 N/mm2 Grade of Steel (fy) = 460 N/mm2 Grade of Shear Steel (fvy) = 460 N/mm2 Cover = 30 mm = 20 mm Link Diameter = 10 mm BS 8110 Dimension of Corbel: Cl 5.2.3.4 = 18 N/mm2 Width of Plate Minimum = (Fv*1000)/(l*Bearing Strength) = 99 mm Selected Plate Width = 125 mm Estimation of Depth BS 8110 = 5 N/mm2 Cl 3.4.5.2 Mimimum Effe.Depth Required = (Fv*1000)/((vmax)*(bcor)) = 355.5 mm Min. Total Depth Required = (Mimimum Effe.Depth Required+cover+1/2 diamete = 395.5 mm Sel. Total Depth at Support (Ds = 500 mm Real Effective Depth (d) = 460 mm BS 8110 Minimum Depth at Face (0.5*Ds) = 250 mm Cl 5.2.7.1 Selected Depth at Face(Df) = 300 mm Check for Strut Action BS 8110 Ratio (av/d) = 0.32609 Cl 5.2.7.1 Hence act as a Corbel Page 212 Lever Arm (z) Using Chart Fig 5.1 av/d = 0.32609 Reinforced Shear Stress (v) = 3.86413 N/mm2 Concrete v/fcu = 0.08587 S S Ray From Chart z/d = 0.74 z = 340.4 mm x = 265.778 mm x/d = 0.58 Resolution of Forces BS 8110 Ft = (Fv*av)/z Cl 5.2.7.2 = 313.308 kN Min Ft (0.5*Fv) = 355.5 kN Selected Ft = 355.5 kN Width of Corbel (bcor) Main Bar Diameter(ǿ) Bearing Strength(0.4*fcu) Max. Allowable Shear Stress (vmax) CALCUL ATION SHEET CALCUL ATION SHEET CALCUL ATION SHEET CALCUL ATION SHEET CALCUL ATION SHEET CALCUL ATION SHEET

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This spreadsheet can be used to design corbels according to BS 8110

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CalcsheetLogoSlave Island Tata Housing ProjectSheet No.:1Date:10/2/15SUBJECTCorbel CB1Prepared by:Ume

REFCALCULATIONSOUTPUTInput Data:Ultimate Load (Fv)=711kNColumn size Width (b)=400mmWidth of Corbel (bcor)=400mmLength of Bearing Plate (l)=400mmDistance to Load (av)=150mmGrade of Concrete (fcu)=45N/mm2Grade of Steel (fy)=460N/mm2Grade of Shear Steel (fvy)=460N/mm2Cover=30mmMain Bar Diameter()=20mmLink Diameter=10mmBearing PlateLength400BS 8110Dimension of Corbel:Width125Cl 5.2.3.4Bearing Strength(0.4*fcu)=18N/mm2Width of Plate Minimum=(Fv*1000)/(l*Bearing Strength)=98.75mmSelected Plate Width=125mm

Estimation of DepthBS 8110Max. Allowable Shear Stress (vmax)=5N/mm2Cl 3.4.5.2Mimimum Effe.Depth Required=(Fv*1000)/((vmax)*(bcor))=355.5mmDs500mmMin. Total Depth Required=(Mimimum Effe.Depth Required+cover+1/2 diameter)Df300mm=395.5mmSel. Total Depth at Support (Ds)=500mmReal Effective Depth (d)=460mm

BS 8110Minimum Depth at Face (0.5*Ds)=250mmCl 5.2.7.1Selected Depth at Face(Df)=300mm

Check for Strut ActionBS 8110Ratio (av/d)=0.3260869565Cl 5.2.7.1Hence act as a Corbel

Page 212Lever Arm (z) Using ChartFig 5.1av/d=0.3260869565Reinforced Shear Stress (v)=3.8641304348N/mm2Concrete v/fcu=0.0858695652S S RayFrom Chart z/d=0.74z=340.4mmx=265.7777777778mmx/d=0.58
Dell: Dell:Try to maintain x/d3.86N/mm2Design Safe

CALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEET

Sheet1

Calcsheet (2)LogoSlave Island Tata Housing ProjectSheet No.:Date:SUBJECTCorbel CB1Prepared by:Ume

REFCALCULATIONSOUTPUTInput Data:Ultimate Load (Fv)=711kNColumn size Width (b)=400mmWidth of Corbel (bcor)=400mmLength of Bearing Plate (l)=400mmDistance to Load (av)=150mmGrade of Concrete (fcu)=45N/mm2Grade of Steel (fy)=460N/mm2Grade of Shear Steel (fvy)=460N/mm2Cover=30mmMain Bar Diameter()=20mmLink Diameter=10mmBearing PlateLength400BS 8110Dimension of Corbel:Width100Cl 5.2.3.4Bearing Strength(0.4*fcu)=18N/mm2Width of Plate Minimum=(Fv*1000)/(l*Bearing Strength)=98.75mmSelected Plate Width=100mm

Estimation of DepthBS 8110Max. Allowable Shear Stress (vmax)=5N/mm2Cl 3.4.5.2Mimimum Effe.Depth Required=(Fv*1000)/((vmax)*(bcor))=355.5mmDs500mmMin. Total Depth Required=(Mimimum Effe.Depth Required+cover+1/2 diameter)Df300mm=395.5mmSel. Total Depth at Support (Ds)=500mmReal Effective Depth (d)=460mm

BS 8110Minimum Depth at Face (0.5*Ds)=250mmCl 5.2.7.1Selected Depth at Face(Df)=300mm

Check for Strut ActionBS 8110Ratio (av/d)=0.3260869565Cl 5.2.7.1Hence act as a Corbel

Page 212Lever Arm (z) Using ChartFig 5.1av/d=0.3260869565Reinforced Shear Stress (v)=3.8641304348N/mm2Concrete v/fcu=0.0858695652S S RayFrom Chart z/d=0.74z=340.4mmx=265.7777777778mmx/d=0.58
Dell: Dell:Try to maintain x/d3.86N/mm2Hence Shear Capacity of Concrete (kN)=764.12kN

Shear Capacity of Steel (kN)=(0.87*fy*2*area of a shear leg*d)/(Sv)=385.56kN

Total Shear Capacity=

Design Safe

CALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEETCALCULATION SHEET