Three steel rods (E 5293 10 psi) support an 8.5-kip load

Chapter 2, Problem 2.40

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QUESTION:

Three steel rods \(\left(E=29 \times 10^{6} \mathrm{psi}\right)\) support an 8.5-kip load P. Each of the rods AB and CD has a \(0.32 \text {-in }{ }^{2}\) cross-sectional area and rod EF has a \(1-\mathrm{in}^{2}\) cross-sectional area. Neglecting the deformation of bar BED, determine (a) the change in length of rod EF, (b) the stress in each rod.

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QUESTION:

Three steel rods \(\left(E=29 \times 10^{6} \mathrm{psi}\right)\) support an 8.5-kip load P. Each of the rods AB and CD has a \(0.32 \text {-in }{ }^{2}\) cross-sectional area and rod EF has a \(1-\mathrm{in}^{2}\) cross-sectional area. Neglecting the deformation of bar BED, determine (a) the change in length of rod EF, (b) the stress in each rod.

ANSWER:

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Draw the free body diagram of steel rods  as below.

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