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Sample Examples ˗ Traditional Format ˗ Solid Mechanics Problems

Example 1: Link AC has a uniform cross section ¼ in wide and 1/16 in thick. A smooth pin

connects the link to the rectangular plate at A. Smooth pins also are at C and B. A cord raps

around the smooth pulleys as shown. The tension in the cord, P, is 300 lb. Find the normal

stress midway along the link AC.

Example 2: The stepped shaft ABC shown below has a material with shearing modulus of

elasticity, G, of 11 x 10⁶ psi. Two torques, -Ti and -(3/2)Ti lbin. act on the shaft. The following

data apply: T = 6000 lb in., L₁ = 25 in., L₂ = 18 in. d₁ = 2.5 in., and d₂ = 2 in.

Find the angle of twist at C (the free end of the stepped shaft), φ_C .