BOLT BEARING AT BEAM AND SHEAR PLATE SIDE
Vertical Shear Only Load Case:
ICR cordinate relative to CG = (1.56, -0.00)
At Row 1, At Column 1:
Ribolt = 15.94 kips
Ri vector at Beam = <5.55, 14.94>
Lcsbm at Beam spacing = 4.13 in.
Lcebm at Beam edge = 2.73 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.13 * (0.20/1) * 65.00 = 32.23 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.73 * (0.20/1) * 65.00 = 21.31 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(32.23, 21.31, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-5.55, -14.94>
Lcsshpl at Shear Plate spacing = 4.09 in.
Lceshpl at Shear Plate edge = 5.63 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 4.09 * 1.00 * 65.00 = 159.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 5.63 * 1.00 * 65.00 = 219.72 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 1.00 * 65.00 = 68.25 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(159.33, 219.72, 68.25) = 68.25 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 68.250) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.94 = 0.86
At Row 1, At Column 2:
Ribolt = 14.98 kips
Ri vector at Beam = <8.88, 12.07>
Lcsbm at Beam spacing = 4.13 in.
Lcebm at Beam edge = 3.26 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.13 * (0.20/1) * 65.00 = 32.23 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.26 * (0.20/1) * 65.00 = 25.39 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(32.23, 25.39, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-8.88, -12.07>
Lcsshpl at Shear Plate spacing = 4.09 in.
Lceshpl at Shear Plate edge = 6.56 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 4.09 * 1.00 * 65.00 = 159.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 6.56 * 1.00 * 65.00 = 255.71 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 1.00 * 65.00 = 68.25 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(159.33, 255.71, 68.25) = 68.25 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 68.250) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 14.98 = 0.91
At Row 1, At Column 3:
Ribolt = 13.28 kips
Ri vector at Beam = <13.28, 0.34>
Lcsbm at Beam spacing = 2.06 in.
Lcebm at Beam edge = 115.64 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.06 * (0.20/1) * 65.00 = 16.09 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 115.64 * (0.20/1) * 65.00 = 902.03 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(16.09, 902.03, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-13.28, -0.34>
Lcsshpl at Shear Plate spacing = 1.88 in.
Lceshpl at Shear Plate edge = 15.19 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 1.88 * 1.00 * 65.00 = 73.12 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 15.19 * 1.00 * 65.00 = 592.51 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 1.00 * 65.00 = 68.25 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(73.12, 592.51, 68.25) = 68.25 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 68.250) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 13.28 = 1.03
At Row 1, At Column 4:
Ribolt = 14.92 kips
Ri vector at Beam = <9.06, -11.85>
Lcsbm at Beam spacing = 4.13 in.
Lcebm at Beam edge = 10.74 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.13 * (0.20/1) * 65.00 = 32.23 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 10.74 * (0.20/1) * 65.00 = 83.74 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(32.23, 83.74, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-9.06, 11.85>
Lcsshpl at Shear Plate spacing = 4.09 in.
Lceshpl at Shear Plate edge = 0.98 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 4.09 * 1.00 * 65.00 = 159.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 0.98 * 1.00 * 65.00 = 38.36 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 1.00 * 65.00 = 68.25 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(159.33, 38.36, 68.25) = 38.36 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 38.359) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 14.92 = 0.91
At Row 2, At Column 1:
Ribolt = 15.94 kips
Ri vector at Beam = <-5.55, 14.94>
Lcsbm at Beam spacing = 4.13 in.
Lcebm at Beam edge = 4.56 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.13 * (0.20/1) * 65.00 = 32.23 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.56 * (0.20/1) * 65.00 = 35.55 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(32.23, 35.55, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <5.55, -14.94>
Lcsshpl at Shear Plate spacing = 4.09 in.
Lceshpl at Shear Plate edge = 0.83 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 4.09 * 1.00 * 65.00 = 159.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 0.83 * 1.00 * 65.00 = 32.50 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 1.00 * 65.00 = 68.25 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(159.33, 32.50, 68.25) = 32.50 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 32.502) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.94 = 0.86
At Row 2, At Column 2:
Ribolt = 14.98 kips
Ri vector at Beam = <-8.88, 12.07>
Lcsbm at Beam spacing = 4.13 in.
Lcebm at Beam edge = 7.55 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.13 * (0.20/1) * 65.00 = 32.23 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 7.55 * (0.20/1) * 65.00 = 58.86 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(32.23, 58.86, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <8.88, -12.07>
Lcsshpl at Shear Plate spacing = 4.09 in.
Lceshpl at Shear Plate edge = 0.97 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 4.09 * 1.00 * 65.00 = 159.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 0.97 * 1.00 * 65.00 = 37.83 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 1.00 * 65.00 = 68.25 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(159.33, 37.83, 68.25) = 37.83 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 37.827) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 14.98 = 0.91
At Row 2, At Column 3:
Ribolt = 13.28 kips
Ri vector at Beam = <-13.28, 0.34>
Lcsbm at Beam spacing = 2.06 in.
Lcebm at Beam edge = 7.28 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.06 * (0.20/1) * 65.00 = 16.09 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 7.28 * (0.20/1) * 65.00 = 56.81 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(16.09, 56.81, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <13.28, -0.34>
Lcsshpl at Shear Plate spacing = 1.88 in.
Lceshpl at Shear Plate edge = 4.19 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 1.88 * 1.00 * 65.00 = 73.12 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 4.19 * 1.00 * 65.00 = 163.37 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 1.00 * 65.00 = 68.25 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(73.12, 163.37, 68.25) = 68.25 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 68.250) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 13.28 = 1.03
At Row 2, At Column 4:
Ribolt = 14.92 kips
Ri vector at Beam = <-9.06, -11.85>
Lcsbm at Beam spacing = 4.13 in.
Lcebm at Beam edge = 5.07 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.13 * (0.20/1) * 65.00 = 32.23 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.07 * (0.20/1) * 65.00 = 39.55 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.20/1) * 65.00 = 13.65 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(32.23, 39.55, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <9.06, 11.85>
Lcsshpl at Shear Plate spacing = 4.09 in.
Lceshpl at Shear Plate edge = 2.29 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 4.09 * 1.00 * 65.00 = 159.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 2.29 * 1.00 * 65.00 = 89.33 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 1.00 * 65.00 = 68.25 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(159.33, 89.33, 68.25) = 68.25 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 68.250) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 14.92 = 0.91
Min Bolt Shear Demand to Bearing ratio Beam and Shear Plate for vertical shear only
= min(1.00, 0.86, 0.91, 1.03, 0.91, 0.86, 0.91, 1.03, 0.91) = 0.86
BEARING AT BEAM AND SHEAR PLATE SIDE SUMMARY:
Bearing Capacity at Vertical Shear Load Only, Rbv = Min Bolt Shear Demand to Bearing Ratio * Bolt Shear = 0.86 * 31.00 = 26.55 kips
Rbv = 26.55 kips >= V = 25.00 kips (OK) |