BOLT BEARING AT BEAM AND SHEAR PLATE SIDE
Vertical Shear Only Load Case:
ICR cordinate relative to CG = (1.11, 0.00)
At Row 1, At Column 1:
Ribolt = 15.94 kips
Ri vector at Beam = <9.39, 12.87>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 3.29 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 3.29 * (0.20/1) * 65.00 = 25.64 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(22.92, 25.64, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-9.39, -12.87>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 8.40 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 8.40 * 0.75 * 65.00 = 245.57 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 245.57, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.94 = 0.86
At Row 1, At Column 2:
Ribolt = 15.15 kips
Ri vector at Beam = <14.21, 5.26>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 8.68 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 8.68 * (0.20/1) * 65.00 = 67.69 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(22.92, 67.69, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-14.21, -5.26>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 13.26 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 13.26 * 0.75 * 65.00 = 387.90 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 387.90, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.15 = 0.90
At Row 1, At Column 3:
Ribolt = 15.38 kips
Ri vector at Beam = <13.01, -8.20>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 15.68 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 15.68 * (0.20/1) * 65.00 = 122.27 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(22.92, 122.27, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <-13.01, 8.20>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 1.68 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.68 * 0.75 * 65.00 = 49.15 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 49.15, 51.19) = 49.15 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 49.147) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.38 = 0.89
At Row 2, At Column 1:
Ribolt = 15.65 kips
Ri vector at Beam = <-0.00, 15.65>
Lcsbm at Beam spacing = 2.06 in.
Lcebm at Beam edge = 5.53 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 * 5.53 * (0.20/1) * 65.00 = 43.15 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, 43.15, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <0.00, -15.65>
Lcsshpl at Shear Plate spacing = 2.06 in.
Lceshpl at Shear Plate edge = 3.78 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.06 * 0.75 * 65.00 = 60.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.78 * 0.75 * 65.00 = 110.60 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(60.33, 110.60, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.65 = 0.87
At Row 2, At Column 2:
Ribolt = 11.38 kips
Ri vector at Beam = <-0.00, 11.38>
Lcsbm at Beam spacing = 2.06 in.
Lcebm at Beam edge = 5.58 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 * 5.58 * (0.20/1) * 65.00 = 43.50 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, 43.50, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <0.00, -11.38>
Lcsshpl at Shear Plate spacing = 2.06 in.
Lceshpl at Shear Plate edge = 3.78 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.06 * 0.75 * 65.00 = 60.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.78 * 0.75 * 65.00 = 110.60 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(60.33, 110.60, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 11.38 = 1.20
At Row 2, At Column 3:
Ribolt = 13.52 kips
Ri vector at Beam = <-0.00, -13.52>
Lcsbm at Beam spacing = 2.06 in.
Lcebm at Beam edge = 5.34 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 * 5.34 * (0.20/1) * 65.00 = 41.67 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, 41.67, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <0.00, 13.52>
Lcsshpl at Shear Plate spacing = 2.06 in.
Lceshpl at Shear Plate edge = 3.78 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.06 * 0.75 * 65.00 = 60.33 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.78 * 0.75 * 65.00 = 110.60 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(60.33, 110.60, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 13.52 = 1.01
At Row 3, At Column 1:
Ribolt = 15.94 kips
Ri vector at Beam = <-9.40, 12.87>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 2.54 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.54 * (0.20/1) * 65.00 = 19.85 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(22.92, 19.85, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <9.40, -12.87>
Lcsshpl at Shear Plate spacing = 2.87 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 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 0.97 * 0.75 * 65.00 = 28.29 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 28.29, 51.19) = 28.29 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 28.292) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.94 = 0.86
At Row 3, At Column 2:
Ribolt = 15.15 kips
Ri vector at Beam = <-14.21, 5.26>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 4.61 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.61 * (0.20/1) * 65.00 = 35.99 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(22.92, 35.99, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <14.21, -5.26>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 3.00 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 3.00 * 0.75 * 65.00 = 87.82 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 87.82, 51.19) = 51.19 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 51.188) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.15 = 0.90
At Row 3, At Column 3:
Ribolt = 15.38 kips
Ri vector at Beam = <-13.01, -8.20>
Lcsbm at Beam spacing = 2.94 in.
Lcebm at Beam edge = 4.93 in.
(1/omega)Rnsbm at Beam spacing = (1/omega) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.50 * 1.20 * 2.94 * (0.20/1) * 65.00 = 22.92 kips/bolt
(1/omega)Rnebm at Beam edge = (1/omega) * hf1 * Lce * (tw/# shear planes) * Fu = 0.50 * 1.20 * 4.93 * (0.20/1) * 65.00 = 38.48 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(22.92, 38.48, 13.65) = 13.65 kips/bolt
Ri vector at Shear Plate = <13.01, 8.20>
Lcsshpl at Shear Plate spacing = 2.87 in.
Lceshpl at Shear Plate edge = 1.40 in.
(1/omega)Rnsshpl at Shear Plate spacing = (1/omega) * hf1 * Lcs * t * Fu = 0.50 * 1.20 * 2.87 * 0.75 * 65.00 = 84.03 kips/bolt
(1/omega)Rneshpl at Shear Plate edge = (1/omega) * hf1 * Lce * t * Fu = 0.50 * 1.20 * 1.40 * 0.75 * 65.00 = 41.05 kips/bolt
(1/omega)Rndshpl on Shear Plate at Bolt Diameter = (1/omega) * hf2 * db * t * Fu = 0.50 * 2.40 * 0.88 * 0.75 * 65.00 = 51.19 kips/bolt
Shear Plate bearing capacity, (1/omega)Rnshpl = min((1/omega)Rnsshpl,(1/omega)Rneshpl,(1/omega)Rndshpl) = min(84.03, 41.05, 51.19) = 41.05 kips/bolt
(1/omega)Rn = min((1/omega)Rnbm, (1/omega)Rnshpl) = min(13.650, 41.052) = 13.65 kips/bolt
Bolt Shear Demand to Bearing ratio = 13.65 / 15.38 = 0.89
Min Bolt Shear Demand to Bearing ratio Beam and Shear Plate for vertical shear only
= min(1.00, 0.86, 0.90, 0.89, 0.87, 1.20, 1.01, 0.86, 0.90, 0.89) = 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 * 33.37 = 28.58 kips
Rbv = 28.58 kips >= V = 25.00 kips (OK) |