A steel control rod is 5.5 ft long and must not stretch

Chapter 2, Problem 2.7

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QUESTION:

A steel control rod is 5.5 ft long and must not stretch more than 0.04 in. when a 2-kip tensile load is applied to it. Knowing that \(E=29 \times 10^{6}\) psi, determine (a) the smallest diameter rod that should be used, (b) the corresponding normal stress caused by the load.

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QUESTION:

A steel control rod is 5.5 ft long and must not stretch more than 0.04 in. when a 2-kip tensile load is applied to it. Knowing that \(E=29 \times 10^{6}\) psi, determine (a) the smallest diameter rod that should be used, (b) the corresponding normal stress caused by the load.

ANSWER:

Step 1 of 5

We have to find the smallest diameter of the rod using the formula for deformation under tensile load. The corresponding can be computed by dividing the applied load by the cross sectional area.

Given data:

Length of wire:

Applied load:

Modulus of elasticity:

Deformation:

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