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Problem 18.20, please show all work?
Section 18.7 Axially Loaded Steel Machine Parts
For Problems 18.18 through 18.21, use the Euler–Johnson formulas, Equations (18.9) and ( 18.10), and a modulus of elasticity of 30,000,000 psi.
18.18 Calculate the allowable axial compressive load for a bar of rectangular cross section that measures 1 in. by 2 in. and is 20 in. long. The member is made of AISI 1040 hot-rolled steel. Use a factor of safety of 3.5 and assume the member is pin-connected.
18.19 Compute the required diameter of a piston rod of AISI 1040 hot-rolled steel with a length of 20 in. The rod is subjected to an axial compressive load of 6000 lb. Use a factor of safety of 2.5. Assume that the rod is pin-connected.
18.20 Compute the required diameter of an air cylinder piston rod of AISI 1040 hot-rolled steel. The rod has a length of 54 in. and is subjected to an axial compressive load of 1900 lb. Assume pinned ends. Use a factor of safety of 3.5.
18.21 Compute the required diameter of a steel rod of AISI 1050 cold-drawn steel with a yield stress of 85,000 psi and a length of 8 ft. The rod is subjected to an axial compressive load of 18,000 lb. Assume pinned ends. Use a factor of safety of 3.0.
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