BOLT BEARING AT BEAM AND SHEAR PLATE SIDE
Vertical Shear Only Load Case:
ICR cordinate relative to CG = (1.21, -0.00)
At Row 1, At Column 1:
Ribolt = 39.32 kips
Ri vector at Beam = <33.70, 20.26>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 5.29 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.76 * (0.28/1) * 65.00 = 44.44 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 5.29 * (0.28/1) * 65.00 = 85.13 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.28/1) * 65.00 = 32.18 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(44.44, 85.13, 32.18) = 32.18 kips/bolt
Ri vector at Shear Plate = <-33.70, -20.26>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 10.46 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.67 * 0.38 * 65.00 = 58.67 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 10.46 * 0.38 * 65.00 = 229.57 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.38 * 65.00 = 43.88 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(58.67, 229.57, 43.88) = 43.88 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(32.18, 43.88) = 32.18 kips/bolt
Bolt Shear Demand to Bearing ratio = 32.18 / 39.32 = 0.82
At Row 1, At Column 2:
Ribolt = 38.85 kips
Ri vector at Beam = <38.77, -2.54>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 196.74 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.94 * (0.28/1) * 65.00 = 31.17 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 196.74 * (0.28/1) * 65.00 = 3165.17 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.28/1) * 65.00 = 32.18 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(31.17, 3165.17, 32.18) = 31.17 kips/bolt
Ri vector at Shear Plate = <-38.77, 2.54>
Lcsshpl at Shear Plate spacing = 1.69 in.
Lceshpl at Shear Plate edge = 11.99 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 1.69 * 0.38 * 65.00 = 37.02 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 11.99 * 0.38 * 65.00 = 263.13 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.38 * 65.00 = 43.88 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(37.02, 263.13, 43.88) = 37.02 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(31.17, 37.02) = 31.17 kips/bolt
Bolt Shear Demand to Bearing ratio = 31.17 / 38.85 = 0.80
At Row 2, At Column 1:
Ribolt = 36.99 kips
Ri vector at Beam = <17.94, 32.35>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 6.33 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.76 * (0.28/1) * 65.00 = 44.44 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 6.33 * (0.28/1) * 65.00 = 101.83 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.28/1) * 65.00 = 32.18 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(44.44, 101.83, 32.18) = 32.18 kips/bolt
Ri vector at Shear Plate = <-17.94, -32.35>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 7.97 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.67 * 0.38 * 65.00 = 58.67 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 7.97 * 0.38 * 65.00 = 174.81 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.38 * 65.00 = 43.88 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(58.67, 174.81, 43.88) = 43.88 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(32.18, 43.88) = 32.18 kips/bolt
Bolt Shear Demand to Bearing ratio = 32.18 / 36.99 = 0.87
At Row 2, At Column 2:
Ribolt = 31.02 kips
Ri vector at Beam = <30.44, -5.98>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 50.79 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.94 * (0.28/1) * 65.00 = 31.17 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 50.79 * (0.28/1) * 65.00 = 817.10 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.28/1) * 65.00 = 32.18 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(31.17, 817.10, 32.18) = 31.17 kips/bolt
Ri vector at Shear Plate = <-30.44, 5.98>
Lcsshpl at Shear Plate spacing = 1.69 in.
Lceshpl at Shear Plate edge = 12.20 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 1.69 * 0.38 * 65.00 = 37.02 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 12.20 * 0.38 * 65.00 = 267.60 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.38 * 65.00 = 43.88 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(37.02, 267.60, 43.88) = 37.02 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(31.17, 37.02) = 31.17 kips/bolt
Bolt Shear Demand to Bearing ratio = 31.17 / 31.02 = 1.00
At Row 3, At Column 1:
Ribolt = 36.99 kips
Ri vector at Beam = <-17.94, 32.35>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 3.59 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.76 * (0.28/1) * 65.00 = 44.44 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 3.59 * (0.28/1) * 65.00 = 57.80 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.28/1) * 65.00 = 32.18 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(44.44, 57.80, 32.18) = 32.18 kips/bolt
Ri vector at Shear Plate = <17.94, -32.35>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 4.54 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.67 * 0.38 * 65.00 = 58.67 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 4.54 * 0.38 * 65.00 = 99.56 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.38 * 65.00 = 43.88 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(58.67, 99.56, 43.88) = 43.88 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(32.18, 43.88) = 32.18 kips/bolt
Bolt Shear Demand to Bearing ratio = 32.18 / 36.99 = 0.87
At Row 3, At Column 2:
Ribolt = 31.02 kips
Ri vector at Beam = <-30.44, -5.98>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 4.56 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.94 * (0.28/1) * 65.00 = 31.17 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 4.56 * (0.28/1) * 65.00 = 73.43 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.28/1) * 65.00 = 32.18 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(31.17, 73.43, 32.18) = 31.17 kips/bolt
Ri vector at Shear Plate = <30.44, 5.98>
Lcsshpl at Shear Plate spacing = 1.69 in.
Lceshpl at Shear Plate edge = 1.37 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 1.69 * 0.38 * 65.00 = 37.02 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 1.37 * 0.38 * 65.00 = 30.04 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.38 * 65.00 = 43.88 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(37.02, 30.04, 43.88) = 30.04 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(31.17, 30.04) = 30.04 kips/bolt
Bolt Shear Demand to Bearing ratio = 30.04 / 31.02 = 0.97
At Row 4, At Column 1:
Ribolt = 39.32 kips
Ri vector at Beam = <-33.70, 20.26>
Lcsbm at Beam spacing = 2.76 in.
Lcebm at Beam edge = 1.80 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 2.76 * (0.28/1) * 65.00 = 44.44 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.80 * (0.28/1) * 65.00 = 29.00 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.28/1) * 65.00 = 32.18 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(44.44, 29.00, 32.18) = 29.00 kips/bolt
Ri vector at Shear Plate = <33.70, -20.26>
Lcsshpl at Shear Plate spacing = 2.67 in.
Lceshpl at Shear Plate edge = 2.15 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 2.67 * 0.38 * 65.00 = 58.67 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 2.15 * 0.38 * 65.00 = 47.07 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.38 * 65.00 = 43.88 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(58.67, 47.07, 43.88) = 43.88 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(29.00, 43.88) = 29.00 kips/bolt
Bolt Shear Demand to Bearing ratio = 29.00 / 39.32 = 0.74
At Row 4, At Column 2:
Ribolt = 38.85 kips
Ri vector at Beam = <-38.77, -2.54>
Lcsbm at Beam spacing = 1.94 in.
Lcebm at Beam edge = 4.48 in.
(phi)Rnsbm at Beam spacing = (phi) * hf1 * Lcs * (tw/# shear planes) * Fu = 0.75 * 1.20 * 1.94 * (0.28/1) * 65.00 = 31.17 kips/bolt
(phi)Rnebm at Beam edge = (phi) * hf1 * Lce * (tw/# shear planes) * Fu = 0.75 * 1.20 * 4.48 * (0.28/1) * 65.00 = 72.07 kips/bolt
(phi)Rndbm on Beam at Bolt Diameter = (phi) * hf2 * db * (tw/# shear planes) * Fu = 0.75 * 2.40 * 1.00 * (0.28/1) * 65.00 = 32.18 kips/bolt
Beam bearing capacity, (phi)Rnbm = min((phi)Rnsbm,(phi)Rnebm,(phi)Rndbm) = min(31.17, 72.07, 32.18) = 31.17 kips/bolt
Ri vector at Shear Plate = <38.77, 2.54>
Lcsshpl at Shear Plate spacing = 1.69 in.
Lceshpl at Shear Plate edge = 1.35 in.
(phi)Rnsshpl at Shear Plate spacing = (phi) * hf1 * Lcs * t * Fu = 0.75 * 1.20 * 1.69 * 0.38 * 65.00 = 37.02 kips/bolt
(phi)Rneshpl at Shear Plate edge = (phi) * hf1 * Lce * t * Fu = 0.75 * 1.20 * 1.35 * 0.38 * 65.00 = 29.54 kips/bolt
(phi)Rndshpl on Shear Plate at Bolt Diameter = (phi) * hf2 * db * t * Fu = 0.75 * 2.40 * 1.00 * 0.38 * 65.00 = 43.88 kips/bolt
Shear Plate bearing capacity, (phi)Rnshpl = min((phi)Rnsshpl,(phi)Rneshpl,(phi)Rndshpl) = min(37.02, 29.54, 43.88) = 29.54 kips/bolt
(phi)Rn = min((phi)Rnbm, (phi)Rnshpl) = min(31.17, 29.54) = 29.54 kips/bolt
Bolt Shear Demand to Bearing ratio = 29.54 / 38.85 = 0.76
Min Bolt Shear Demand to Bearing ratio Beam and Shear Plate for vertical shear only
= min(1.00, 0.82, 0.80, 0.87, 1.00, 0.87, 0.97, 0.74, 0.76) = 0.74
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 = 0.74 * 88.15 = 65.01 kips
Rbv = 65.01 kips >= Reaction V = 30.00 kips (OK) |