solution fo the assignment on Sep. 6th

# solution fo the assignment on Sep. 6th - 4-2 Determine the...

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4-2 Determine the following for the connection shown assuming the bolts are ¾” diameter and the angle and plate is A36. Ignore block shear. 1) Tensile capacity of the angle 2) Required gusset plate thickness to develop the tensile capacity of the angle determined in part 1 above From AISC Table 2-3 : From AISC Table 1-7: 42 A g = 2.86 in. 2 F y = 36ksi . in 13 . 1 x g32 F = 58ksi to 80 ksi (use F = 58ksi) u u t = 0.375 in. Net area of the angle: t g 4 s t d A A 2 h g n g54 g14 g54 g16 g32 0 ) 375 . 0 ( 8 1 4 3 ) 86 . 2 ( g14 g184 g185 g183 g168 g169 g167 g14 g16 = = 2.53 in. 2 Effective area of the angle: ) 3 3 ( 13 . 1 1 g14 g16 g32 g34 x 1 U g16 g32 = 0.811 Alternatively, U = 0.60 from Table 4-1. The larger value is permitted to be used, so U = 0.792. 2 A e = A U =(2.53)(0.811) = 2.05 in. n Design strength of angle: = (0.9)(36)(2.86) = 92.6kips (gross area) g73 P = g73 F n y A g g73 P n = g73 F u A e = (0.75)(58)(2.05) = 89.3k ips (net area) g197 controls b) Plate thickness: ) 58 )( 75 . 0 ( 3 . 89 F P A u u e g32 g73 g32 ) 36 )( 9 . 0 ( 6 . 92 F P A y u g g32 g73 g32 = 2.86 in. 2 = 2.05 in. 2 From Table 4-1, U = 1.0, but A e = A n < 0.85A = (0.85)(2.86) = 2.43 in.

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