Question

Part 1

A cantilever flexural member is fabricated by bolting two identical cold-rolled steel channels back-to-back, as shown. The cantilever beam has a span of L = 1300 mm and supports a concentrated load of P = 500 N. The cross-sectional dimensions of the built-up shape are shown, where d = 40 mm, w = 65 mm, and t = 3 mm. The effect of the rounded corners can be neglected in determining the section properties for the built-up shape.
(a) If bolts with a diameter of D_b = 4 mm are installed at intervals of s = 75 mm, determine the shear stress produced in the bolts.
(b) If the allowable average shear stress in the bolts is  90 MPa, determine the minimum bolt diameter required if a spacing of s = 380 mm is used.

Answer 1