A stepped tension member has two sections of length 1.00 m, each section being circular in cross section with diameters of 120 mm and 80 mm, respectively; see Figure P5.43. The member is made of an aluminum alloy that has a yield stress Y = 330 MPa and a modulus of elasticity E = 72 GPa. A spring slides freely over the bottom half of the member and bears on an end plate at the bottom end. The spring has a constant k = 200 MN/m. The member was designed using a safety factor of 1.80 for general yielding. Determine the deflection of the free end of the spring caused by the maximum allowable load Pmax•
FIGURE P5.43
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