Multiple choice

A truss tie consisting of 2 ISA 75 x 75 x 8 mm carries a pull of 150 kN. At ends the two angles are connected, one each on either side of a 10 mm thick gusset plate, by 18 mm diameter rivets arranged in one row. The allowable stresses in rivet are fs = 90.0 N/mm2 and fbr = 250 N/mm2.

Maximum tensile stress in the tie in N/mm2 is

  1. 93.6

  2. 87.5

  3. 77.2

  4. 66.0

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A Correct answer
Explanation

The maximum tensile stress is the total load divided by the net cross-sectional area of the two angles. The net area accounts for the rivet hole reduction. 150000 / (2 * (Area_angle - hole_area)) results in 93.6 N/mm^2.