BOLT BEARING AT BEAM AND SHEAR PLATE SIDE
Vertical Shear Only Load Case:
ICR cordinate relative to CG = (1.59, 0.00)
At Row 1, At Column 1:
Ribolt = 15.94 kips
Ri vector at Beam = <13.89, 7.81>
Lcsbm at Beam spacing = 5.02 in.
Lcebm at Beam edge = 5.65 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.02 * (0.32/1) * 65.00 = 61.67 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.65 * (0.32/1) * 65.00 = 69.46 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.32/1) * 65.00 = 21.50 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(61.67, 69.46, 21.50) = 21.50 kips/bolt
Ri vector at Shear Plate = <-13.89, -7.81>
Lcsshpl at Shear Plate spacing = 4.98 in.
Lceshpl at Shear Plate edge = 10.11 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 4.98 * 0.38 * 65.00 = 72.86 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 10.11 * 0.38 * 65.00 = 147.84 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.38 * 65.00 = 25.59 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(72.86, 147.84, 25.59) = 25.59 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(21.499, 25.594) = 21.50 kips/bolt
Bolt Shear Demand to Bearing ratio = 21.50 / 15.94 = 1.35
At Row 1, At Column 2:
Ribolt = 15.77 kips
Ri vector at Beam = <15.77, 0.26>
Lcsbm at Beam spacing = 2.06 in.
Lcebm at Beam edge = 180.57 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.06 * (0.32/1) * 65.00 = 25.34 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 180.57 * (0.32/1) * 65.00 = 2218.31 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.32/1) * 65.00 = 21.50 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(25.34, 2218.31, 21.50) = 21.50 kips/bolt
Ri vector at Shear Plate = <-15.77, -0.26>
Lcsshpl at Shear Plate spacing = 1.88 in.
Lceshpl at Shear Plate edge = 11.81 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 1.88 * 0.38 * 65.00 = 27.42 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 11.81 * 0.38 * 65.00 = 172.78 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.38 * 65.00 = 25.59 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(27.42, 172.78, 25.59) = 25.59 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(21.499, 25.594) = 21.50 kips/bolt
Bolt Shear Demand to Bearing ratio = 21.50 / 15.77 = 1.36
At Row 2, At Column 1:
Ribolt = 14.47 kips
Ri vector at Beam = <-0.00, 14.47>
Lcsbm at Beam spacing = 4.56 in.
Lcebm at Beam edge = 8.03 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.56 * (0.32/1) * 65.00 = 56.05 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 8.03 * (0.32/1) * 65.00 = 98.66 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.32/1) * 65.00 = 21.50 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(56.05, 98.66, 21.50) = 21.50 kips/bolt
Ri vector at Shear Plate = <0.00, -14.47>
Lcsshpl at Shear Plate spacing = 4.56 in.
Lceshpl at Shear Plate edge = 6.28 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 4.56 * 0.38 * 65.00 = 66.73 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 6.28 * 0.38 * 65.00 = 91.86 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.38 * 65.00 = 25.59 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(66.73, 91.86, 25.59) = 25.59 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(21.499, 25.594) = 21.50 kips/bolt
Bolt Shear Demand to Bearing ratio = 21.50 / 14.47 = 1.49
At Row 2, At Column 2:
Ribolt = 3.05 kips
Ri vector at Beam = <-0.00, 3.05>
Lcsbm at Beam spacing = 4.56 in.
Lcebm at Beam edge = 8.03 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.56 * (0.32/1) * 65.00 = 56.05 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 8.03 * (0.32/1) * 65.00 = 98.66 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.32/1) * 65.00 = 21.50 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(56.05, 98.66, 21.50) = 21.50 kips/bolt
Ri vector at Shear Plate = <0.00, -3.05>
Lcsshpl at Shear Plate spacing = 4.56 in.
Lceshpl at Shear Plate edge = 6.28 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 4.56 * 0.38 * 65.00 = 66.73 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 6.28 * 0.38 * 65.00 = 91.86 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.38 * 65.00 = 25.59 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(66.73, 91.86, 25.59) = 25.59 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(21.499, 25.594) = 21.50 kips/bolt
Bolt Shear Demand to Bearing ratio = 21.50 / 3.05 = 7.04
At Row 3, At Column 1:
Ribolt = 15.94 kips
Ri vector at Beam = <-13.89, 7.81>
Lcsbm at Beam spacing = 5.02 in.
Lcebm at Beam edge = 1.54 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 5.02 * (0.32/1) * 65.00 = 61.67 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 1.54 * (0.32/1) * 65.00 = 18.90 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.32/1) * 65.00 = 21.50 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(61.67, 18.90, 21.50) = 18.90 kips/bolt
Ri vector at Shear Plate = <13.89, -7.81>
Lcsshpl at Shear Plate spacing = 4.98 in.
Lceshpl at Shear Plate edge = 1.91 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 4.98 * 0.38 * 65.00 = 72.86 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.91 * 0.38 * 65.00 = 27.88 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.38 * 65.00 = 25.59 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(72.86, 27.88, 25.59) = 25.59 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(18.903, 25.594) = 18.90 kips/bolt
Bolt Shear Demand to Bearing ratio = 18.90 / 15.94 = 1.19
At Row 3, At Column 2:
Ribolt = 15.77 kips
Ri vector at Beam = <-15.77, 0.26>
Lcsbm at Beam spacing = 2.06 in.
Lcebm at Beam edge = 4.28 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.06 * (0.32/1) * 65.00 = 25.34 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.28 * (0.32/1) * 65.00 = 52.60 kips/bolt
(1/omega)Rndbm on Beam at Bolt Diameter = (1/omega) * hf2 * db * (tw/# shear planes) * Fu = 0.50 * 2.40 * 0.88 * (0.32/1) * 65.00 = 21.50 kips/bolt
Beam bearing capacity, (1/omega)Rnbm = min((1/omega)Rnsbm,(1/omega)Rnebm,(1/omega)Rndbm) = min(25.34, 52.60, 21.50) = 21.50 kips/bolt
Ri vector at Shear Plate = <15.77, -0.26>
Lcsshpl at Shear Plate spacing = 1.88 in.
Lceshpl at Shear Plate edge = 1.19 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 1.88 * 0.38 * 65.00 = 27.42 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.19 * 0.38 * 65.00 = 17.37 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.38 * 65.00 = 25.59 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(27.42, 17.37, 25.59) = 17.37 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(21.499, 17.370) = 17.37 kips/bolt
Bolt Shear Demand to Bearing ratio = 17.37 / 15.77 = 1.10
Min Bolt Shear Demand to Bearing ratio Beam and Shear Plate for vertical shear only
= min(1.00, 1.35, 1.36, 1.49, 7.04, 1.19, 1.10) = 1.00
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 = 1.00 * 33.66 = 33.66 kips
Rbv = 33.66 kips >= V = 32.00 kips (OK) |