Figures 1a and 1b show two bolt joints one supporting a symm

Figures 1(a) and 1(b) show two bolt joints, one supporting a \'symmetric\' load and the other an \'eccentric\' load respectively. The joints consist of four 16 mm die holts and are designed to support the load F = 16 kN, as shown. Determine the: most critically stressed bolts in (a) and (b), magnitude of the shearing stress in the most critically loaded bolts in figures (a) and (b).

Solution

Given:

M16 bolt =18 mm diameter

L = 150 mm

B= 120 mm

F = 16 kN= 1600 N

Distance from load to C.G of bolt = 300 +50+75 = 425 mm

For Eccentric load,

Coefficient of interpolation, C = 1.42 (From AISC Table XIII)

Vertical Reaction @ bolt,

R_v = F/C

= 1126.76 N

Fv= 117 N/mm² (From AISC Table J3.2 page 5-73)

Shear Factor = 1 (for single shear)

Vertical load @ each bolt = Fv x A x S.F

Area of bolt, A = x d _b² / 4

= 200 mm²