The rigid beam is supported by the three posts A, B, and C

Chapter 4, Problem 4-106

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The rigid beam is supported by the three posts A, B, and C of equal length. Posts A and C have a diameter of 75 mm and are made of a material for which E = 70 GPa and \(\sigma_{Y}=20 \mathrm{MPa}\). Post B has a diameter of 20 mm and is made of a material for which E’ = 100 GPa and \(\sigma_{Y}^{\prime}=590 \mathrm{MPa}\). Determine the smallest magnitude of P so that (a) only rods A and C yield and (b) all the posts yield.

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