"BRGPLT9" Program
Doc"BRGPLT9" --- BEAM BEARING PLATE DESIGNProgram
Description:"BRGPLT9" is a spreadsheet program written in MS-Excel
for the purpose of the analysis and design of beambearing plates.
This program is applicable to beams supported on concrete walls,
pilasters, and piers in anattempt to distribute the beam reaction
over an area sufficient to keep the average bearing pressure
withinacceptable limits. Specifically the program will check both
the beam web shear and beam end bearingcapacity, determine the
required bearing plate thickness, and determine the minimum beam
flangethickness required without a bearing plate.This program is a
workbook consisting of two (2) worksheets, described as
follows:Worksheet NameDescriptionDocThis documentation sheetBeam
Bearing PlateBeam bearing plate designProgram Assumptions and
Limitations:1. This program uses the database of member dimensions
and section properties from the "AISC ShapesDatabase", Version 3.0
(2001) as well as the AISC 9th Edition (ASD) Manual (1989).2. The
user may select from W, S, and M shapes.3. This program utilizes
the procedure for the design of beam bearing plates from the AISC
9th Edition (ASD)Manual (1989), pages 2-141 through 2-144.4. This
program will determine the required beam bearing plate thickness
based upon the given input, and willalso determine the minimum beam
flange thickness to sustain the reaction without using a bearing
plate.5. This program contains comment boxes which contain a wide
variety of information including explanationsof input or output
items, equations used, data tables, etc. (Note: presence of a
comment box is denotedby a red triangle in the upper right-hand
corner of a cell. Merely move the mouse pointer to the desiredcell
to view the contents of that particular "comment box".)
Beam Bearing PlateBEAM BEARING PLATE DESIGNCALCULATIONS:Version
1.0for W, S, and M Shape Beamsper AISC 9th Edition Manual (ASD) -
Pages 2-141 to 2-14433Allowable End Reaction Based on Web Shear:W,
S, M, C and MC Section Properties from AISC Version 3.0 CDJob
Name:Subject:36Fv =14.40ksiFv = 0.40*Fy (Allowable web shear
stress)Database (2001) and AISC 9th Edition Manual (1989)Job
Number:Originator:Checker:50Rv =92.02kipsRv = Fv*Aw = Fv*(d*tw)
(Allowable web shear)Shapedtwbftfk2.5Allowable End Reaction Based
on End Bearing Criteria for Beam:W44x335441.02161.772.56Input
Data:3Rwy =104.84kipsRwy = 0.66*Fy*tw*(N+2.5*k) (AISC Eqn.
K1-3)W44x29043.60.8715.81.582.373.5Rwc =59.26kipsRwc =
34*tw^2*(1+3*(N/d)*(tw/tf)^1.5)*SQRT(Fy*tf/tw) (AISC Eqn.
K1-5)W44x28544.021.02411.8111.7722.6875Beam Size:4Rp =59.26kipsRp =
Minimum of: Rwy or RwcW44x26243.30.7915.81.422.21Beam Size
=W18x504.5Maximum Allowable End
Reaction:W44x24843.620.86511.8111.5752.5Design Parameters:5R(max)
=59.26kipsR(max) = Minimum of: Rv or
RpW44x23042.90.7115.81.222.01Beam End Reaction, R
=49.00kipsN+2.5*kW18x50d=185.5Bearing Plate
Thickness:W44X22443.310.78711.8111.4162.3125Max. Allowable End
Reaction:Beam Yield Stress, Fy =36ksik=0.9726fp =0.613ksifp =
R/(N*B)W44x19842.910.70911.8111.222.125R(max) =59.26kipsBearing
Plate Length, N =10.000in.Fp =1.050ksiFp = Min. of:
0.35*SQRT(A2/(N*B))*f'c and
0.7*f'cW40x65543.621.9716.873.544.9375Bearing Plate Width, B
=8.000in.tf=0.57n =3.028in.n =
(B-2*k)/2W40x593431.7916.73.234.41Required Bearing Plate
Thickness:Bearing Plate Yield Stress, Fyp =36ksiR=49Fbp
=27.00ksiFbp = 0.75*FypW40x53142.341.6116.512.914.3125tp
=0.790in.Concrete Strength, f 'c =3.000ksi.N=10tp =0.790in.tp =
SQRT(3*fp*n^2/Fbp)W40x50342.11.5416.42.763.94Bearing Area, A2
=80.00in.^2Minimum Beam Flange Thickness without Bearing
Plate:W40x48041.811.4616.362.644Min. Beam Flange Thickness without
Bearing Plate:fpf =0.653ksifpf =
R/(N*bf)W40x46642.441.6712.642.954.125N(min) =6.222in.N(min) =
R/(bf*0.35*f'c)Member Properties:Fpf =1.084ksiFpf = Min. of:
0.35*SQRT(A2/(N*bf))*f'c and
0.7*f'cW40x43641.341.3416.242.43.8125tf(min)
=0.748in.Beam:W18x50k=0.972nf =2.778in.nf =
(bf-2*k)/2W40x43141.31.3416.22.363.54d =18.000in.Fbf =27.00ksiFbf =
0.75*FyW40x397411.2216.12.23.38tw =0.355in.tp=0.79tf(min)
=0.748in.tf(min) = SQRT(3*fpf*nf^2/Fbf)W40x39241.61.4212.42.523.7bf
=7.500in.W40x37240.61.1616.12.053.23tf
=0.570in.W40x36240.61.12162.013.19k
=0.9720in.B=8W40x33140.81.2212.22.133.31W40x328400.9117.911.733.125Results:NomenclatureW40x32740.81.1812.12.133.31W40x32440.2115.91.812.99Check
End Reaction Based on Beam Web Shear:W40x32140.08115.911.772.9375Fv
=14.40ksiFv = 0.40*Fy (Allowable web shear
stress)W40x29839.690.8317.831.5753Rv =92.02kipsRv = Fv*Aw =
Fv*(d*tw) (Allowable web shear)Rv >= R,
O.K.W40x29739.80.9315.81.652.83S.R.
=0.533W40x27840.21.02121.812.99Check End Reaction Based on End
Bearing Criteria for Beam:W40x27739.70.8315.81.582.76Rwy
=104.84kipsRwy = 0.66*Fy*tw*(N+2.5*k) (AISC Eqn.
K1-3)W40x26839.370.7517.751.4152.8125Rwc =59.26kipsRwc =
34*tw^2*(1+3*(N/d)*(tw/tf)^1.5)*SQRT(Fy*tf/tw) (AISC Eqn.
K1-5)W40x264400.9611.91.732.91Rp =59.26kipsRp = Minimum of: Rwy or
RwcRp >= R, O.K.W40x24939.40.7515.81.422.6S.R.
=0.827W40x24439.060.7117.711.262.625Determine Required Bearing
Plate Thickness:W40x23539.70.8311.91.582.76fp =0.613ksifp =
R/(N*B)W40x22138.670.7117.711.0652.4375Fp =1.050ksiFp = Min. of:
0.35*SQRT(A2/(N*B))*f'c and 0.7*f'cFp >= fp,
O.K.W40x215390.6515.81.222.4S.R. =0.583n =3.028in.n =
(B-2*k)/2W40x21139.40.7511.81.422.6Fbp =27.00ksiFbp =
0.75*FypW40x19938.70.6515.81.072.25tp =0.790in.tp =
SQRT(3*fp*n^2/Fbp)W40x19238.20.7117.710.832.25W40x183390.6511.81.222.4Minimum
Beam Flange Thickness without Bearing
Plate:W40x17438.20.6515.750.832fpf =0.653ksifpf =
R/(N*bf)W40x16738.60.6511.81.022.21Fpf =1.084ksiFpf = Min. of:
0.35*SQRT(A2/(N*bf))*f'c and 0.7*f'cFpf >= fpf,
O.K.W40x14938.20.6311.80.832.01S.R. =0.602nf =2.778in.nf =
(bf-2*k)/2W36x84842.452.5218.134.535.6875Fbf =27.00ksiFbf =
0.75*FyW36x798422.38184.295.24tf(min) =0.748in.tf(min) =
SQRT(3*fpf*nf^2/Fbf)tf(min) >
tfW36x72041.192.16517.7753.95.0625S.R. =1.313Bearing Plate Is
Req'd.W36x65040.51.9717.63.544.49W36x58839.841.7917.43.234.375W36x52739.21.6117.22.913.86W36x48538.741.517.1052.683.8125W36x43938.31.36172.443.39W36x39337.81.2216.82.23.15W36x35937.41.1216.72.012.96W36x32837.11.0216.61.852.8W36x30036.70.94516.71.682.63W36x28036.50.88516.61.572.52W36x26036.30.8416.61.442.39W36x25637.40.9612.21.732.48W36x24536.10.816.51.352.3W36x23237.10.8712.11.572.32W36x23035.90.7616.51.262.21W36x21036.70.8312.21.362.11W36x19436.50.76512.11.262.01W36x18236.30.72512.11.181.93W36x17036.20.68121.11.85W36x160360.65121.021.77W36x15035.90.625120.941.69W36x13535.60.6120.791.54W33x61938.471.9716.913.544.375W33x56737.911.8116.753.274.0625W33x51537.361.6516.592.993.8125W33x46836.811.5216.4552.723.5W33x42436.341.3816.3152.483.3125W33x387361.2616.22.283.07W33x35435.61.1616.12.092.88W33x31835.21.04161.892.68W33x29134.80.9615.91.732.52W33x26334.50.8715.81.572.36W33x24134.20.8315.91.42.19W33x22133.90.77515.81.272.06W33x20133.70.71515.71.151.94W33x16933.80.6711.51.221.92W33x15233.50.63511.61.061.76W33x14133.30.60511.50.961.66W33x13033.10.5811.50.8551.56W33x11832.90.5511.50.741.44W30x58135.391.9716.23.544.3125W30x52634.761.7916.023.234W30x47734.211.6315.8652.953.75W30x43333.661.515.7252.683.4375W30x39133.21.3615.62.443.23W30x35732.81.2415.52.243.03W30x32632.41.1415.42.052.84W30x292321.0215.31.852.64W30x26131.60.9315.21.652.44W30x23531.30.8315.11.52.29W30x21130.90.77515.11.322.1W30x19130.70.71151.191.97W30x17330.40.655151.071.85W30x14830.70.6510.51.181.83W30x13230.30.61510.511.65W30x12430.20.58510.50.931.58W30x116300.56510.50.851.5W30x10829.80.54510.50.761.41W30x9929.70.5210.50.671.32W30x9029.50.4710.40.611.26W27x53932.51.9715.33.544.33W27x49431.971.8115.0953.274W27x44831.421.6514.942.993.6875W27x40730.871.5214.82.723.4375W27x36830.41.3814.72.483.27W27x336301.2614.62.283.07W27x30729.61.1614.42.092.88W27x28129.31.0614.41.932.72W27x258290.9814.31.772.56W27x23528.70.9114.21.612.4W27x21728.40.8314.11.52.29W27x19428.10.75141.342.13W27x17827.80.72514.11.191.98W27x16127.60.66141.081.87W27x14627.40.605140.9751.76W27x12927.60.61101.11.7W27x11427.30.5710.10.931.53W27x10227.10.515100.831.43W27x9426.90.499.990.7451.34W27x8426.70.469.960.641.24W24x49229.651.9714.1153.544.3125W24x45029.091.8113.9553.274.0625W24x40828.541.6513.82.993.75W24x370281.5213.72.723.22W24x33527.51.3813.52.482.98W24x30627.11.2613.42.282.78W24x27926.71.1613.32.092.59W24x25026.31.0413.21.892.39W24x229260.9613.11.732.23W24x20725.70.87131.572.07W24x19225.50.81131.461.96W24x17625.20.7512.91.341.84W24x162250.705131.221.72W24x14624.70.6512.91.091.59W24x13124.50.60512.90.961.46W24x11724.30.5512.80.851.35W24x10424.10.512.80.751.25W24x10324.50.5590.981.48W24x9424.30.5159.070.8751.38W24x8424.10.479.020.771.27W24x7623.90.448.990.681.18W24x6823.70.4158.970.5851.09W24x6223.70.437.040.591.19W24x5523.60.3957.010.5051.11W21x40226.021.7313.4053.133.875W21x36425.471.5913.2652.853.625W21x333251.4613.132.623.375W21x30024.531.3212.992.383.125W21x27524.131.2212.892.193W21x24823.741.112.7751.992.75W21x22323.35112.6751.792.5625W21x201230.9112.61.632.13W21x18222.70.8312.51.481.98W21x16622.50.7512.41.361.86W21x14722.10.7212.51.151.65W21x13221.80.6512.41.031.54W21x12221.70.612.40.961.46W21x11121.50.5512.30.8751.38W21x10121.40.512.30.81.3W21x9321.60.588.420.931.43W21x8321.40.5158.360.8351.34W21x7321.20.4558.30.741.24W21x6821.10.438.270.6851.19W21x62210.48.240.6151.12W21x5721.10.4056.560.651.15W21x5520.80.3758.220.5221.02W21x5020.80.386.530.5351.04W21x4820.60.358.140.430.93W21x4420.70.356.50.450.95W18x31122.321.5212.0052.743.4375W18x28321.851.411.892.53.1875W18x25821.461.2811.772.33W18x23421.061.1611.652.112.75W18x21120.671.0611.5551.912.5625W18x19220.350.9611.4551.752.4375W18x175200.8911.41.591.99W18x15819.70.8111.31.441.84W18x14319.50.7311.21.321.72W18x13019.30.6711.21.21.6W18x119190.65511.31.061.46W18x10618.70.5911.20.941.34W18x9718.60.53511.10.871.27W18x8618.40.4811.10.771.17W18x7618.20.425110.681.08W18x7118.50.4957.640.811.21W18x6518.40.457.590.751.15W18x6018.20.4157.560.6951.1W18x5518.10.397.530.631.03W18x50180.3557.50.570.972W18x4618.10.366.060.6051.01W18x4017.90.3156.020.5250.927W18x3517.70.360.4250.827W16x100170.58510.40.9851.69W16x8916.80.52510.40.8751.58W16x7716.50.45510.30.761.47W16x6716.30.39510.20.6651.37W16x5716.40.437.120.7151.12W16x5016.30.387.070.631.03W16x4516.10.3457.040.5650.967W16x40160.30570.5050.907W16x3615.90.2956.990.430.832W16x3115.90.2755.530.440.842W16x2615.70.255.50.3450.747W14x80822.83.7418.65.125.72W14x73022.43.0717.94.915.51W14x66521.62.8317.74.525.12W14x60520.92.617.44.164.76W14x55020.22.3817.23.824.42W14x50019.62.19173.54.1W14x455192.0216.83.213.81W14x42618.71.8816.73.043.63W14x39818.31.7716.62.853.44W14x37017.91.6616.52.663.26W14x34217.51.5416.42.473.07W14x31117.11.4116.22.262.86W14x28316.71.2916.12.072.67W14x25716.41.18161.892.49W14x233161.0715.91.722.32W14x21115.70.9815.81.562.16W14x19315.50.8915.71.442.04W14x17615.20.8315.71.311.91W14x159150.74515.61.191.79W14x14514.80.6815.51.091.69W14x13214.70.64514.71.031.63W14x12014.50.5914.70.941.54W14x10914.30.52514.60.861.46W14x9914.20.48514.60.781.38W14x90140.4414.50.711.31W14x8214.30.5110.10.8551.45W14x7414.20.4510.10.7851.38W14x68140.415100.721.31W14x6113.90.3759.990.6451.24W14x5313.90.378.060.661.25W14x4813.80.348.030.5951.19W14x4313.70.30580.531.12W14x3814.10.316.770.5150.915W14x34140.2856.750.4550.855W14x3013.80.276.730.3850.785W14x2613.90.2555.030.420.82W14x2213.70.2350.3350.735W12x33616.81.7813.42.963.55W12x30516.31.6313.22.713.3W12x27915.91.5313.12.473.07W12x25215.41.4132.252.85W12x23015.11.2912.92.072.67W12x21014.71.1812.81.92.5W12x19014.41.0612.71.742.33W12x170140.9612.61.562.16W12x15213.70.8712.51.42W12x13613.40.7912.41.251.85W12x12013.10.7112.31.111.7W12x10612.90.6112.20.991.59W12x9612.70.5512.20.91.5W12x8712.50.51512.10.811.41W12x7912.40.4712.10.7351.33W12x7212.30.43120.671.27W12x6512.10.39120.6051.2W12x5812.20.36100.641.24W12x5312.10.3459.990.5751.17W12x5012.20.378.080.641.14W12x4512.10.3358.050.5751.08W12x4011.90.2958.010.5151.02W12x3512.50.36.560.520.82W12x3012.30.266.520.440.74W12x2612.20.236.490.380.68W12x2212.30.264.030.4250.725W12x1912.20.2354.010.350.65W12x16120.223.990.2650.565W12x1411.90.23.970.2250.525W10x11211.40.75510.41.251.75W10x10011.10.6810.31.121.62W10x8810.80.60510.30.991.49W10x7710.60.5310.20.871.37W10x6810.40.4710.10.771.27W10x6010.20.4210.10.681.18W10x5410.10.37100.6151.12W10x499.980.34100.561.06W10x4510.10.358.020.621.12W10x399.920.3157.990.531.03W10x339.730.297.960.4350.935W10x3010.50.35.810.510.81W10x2610.30.265.770.440.74W10x2210.20.245.750.360.66W10x1910.20.254.020.3950.695W10x1710.10.244.010.330.63W10x159.990.2340.270.57W10x129.870.193.960.210.51W8x6790.578.280.9351.33W8x588.750.518.220.811.2W8x488.50.48.110.6851.08W8x408.250.368.070.560.954W8x358.120.318.020.4950.889W8x3180.28580.4350.829W8x288.060.2856.540.4650.859W8x247.930.2456.50.40.794W8x218.280.255.270.40.7W8x188.140.235.250.330.63W8x158.110.2454.010.3150.615W8x137.990.2340.2550.555W8x107.890.173.940.2050.505W6x256.380.326.080.4550.754W6x206.20.266.020.3650.664W6x166.280.264.030.4050.655W6x155.990.235.990.260.559W6x126.030.2340.280.53W6x95.90.173.940.2150.465W6x8.55.830.173.940.1940.444W5x195.150.275.030.430.73W5x165.010.2450.360.66W4x134.160.284.060.3450.595S24x12124.50.88.051.092S24x10624.50.627.871.092S24x100240.7457.250.871.75S24x90240.6257.130.871.75S24x80240.570.871.75S20x9620.30.87.20.921.75S20x8620.30.667.060.921.75S20x75200.6356.390.7951.625S20x66200.5056.260.7951.625S18x70180.7116.250.6911.5S18x54.7180.46160.6911.5S15x50150.555.640.6221.375S15x42.9150.4115.50.6221.375S12x50120.6875.480.6591.4375S12x40.8120.4625.250.6591.4375S12x35120.4285.080.5441.1875S12x31.8120.3550.5441.1875S10x35100.5944.940.4911.125S10x25.4100.3114.660.4911.125S8x2380.4414.170.4251S8x18.480.27140.4251S7x2070.453.860.3920.9375S7x15.370.2523.6620.3920.9375S6x17.2560.4653.570.3590.8125S6x12.560.2323.330.3590.8125S5x14.7550.4943.2840.3260.8125S5x1050.21430.3260.75S4x9.540.3262.80.2930.75S4x7.740.1932.660.2930.75S3x7.530.3492.510.260.625S3x5.730.172.330.260.625M14x18140.21540.270.625M12x11.8120.1773.070.2250.5625M12x10.8120.163.070.210.5625M12x10120.1493.250.180.5M10x9100.1572.690.2060.5625M10x89.950.1412.690.1820.5625M10x7.59.990.132.690.1730.4375M8x6.580.1352.280.1890.5625M8x6.280.1292.280.1770.4375M6x4.460.1141.840.1710.375M6x3.75.920.09820.1290.3125M5x18.950.31650.4160.8125M4x83.80.133.80.160.5
&R"BRGPLT9.xls" ProgramVersion 1.0&C&P of
&N&R&D &T"BRGPLT9.xls"written by: Alex Tomanovich,
P.E.Member section properties are based on AISC Version 3.0 CD
Database (2001) and AISC 9th Edition Manual (1989). Values for "k"
reflect most current values from AISC.nnnn2knThe total bearing area
of the concrete support, 'A2', MUST have a minimum value of A2 =
N*B for bearing plate design or A2 = N*bf for checking the minimum
beam flange thickness without using a bearing plate.Anchor as
requiredIf R > Rv, then either increase beam size (for web
thickness increase) or add web-doubler plates to increase web shear
capacity.Member section properties are based on AISC Version 3.0 CD
Database (2001) and AISC 9th Edition Manual (1989). Values for "k"
reflect most current values from AISC.If R > Rp, then add beam
web stiffeners to increase the beam end bearing capacity.If fp >
Fp, then increase the bearing area by increasing the beam bearing
plate plan dimensions, N and/or B.Bearing PlateBearing Plate
