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N Two steel plates are fastened together using four bolts. The bolts each have a

ID: 1373907 • Letter: N

Question

   N

Two steel plates are fastened together using four bolts. The bolts each have a shear modulus of 8.9 10^8 Pa. The radius of each bolt is 0.9 cm. Normally, the bolts clamp the two plates together and the frictional forces between the plates keep them from sliding. If the bolts are loose, then the frictional forces are small and the bolts themselves would be subject to a large shear stress. What is the maximum shearing force F on the plates that the four bolts can withstand? N 10^10 Pa and a shear strength of 5.8

Explanation / Answer


apply shearing Stress = force/Area

Force F = Stress * area

where Area A = pi r^2

here as there are two Bolts, net Force is 2 times

F = 2*8.9 e 10 * 3.14 * 0.009 *0.009

F = 4.52 *10^7 N