
Concept explainers
Change in length of steel rod subjected to uniaxial load of 50 lb.

Answer to Problem 11.1P
Estimated change in length is 3.397 × 10-4 in.
Explanation of Solution
Given information:
Material is Steel, Young’s Modulus Em= 30 x 106 psi, Original Length l = 10 in., Diameter D= ¼ in. = 0.25 in., ForceF = 50 lbf
The Rod Supports the mass so that uniaxial tension is developed. Let Change in length be denoted as dl, we know acceleration due to gravity g = 9.81 m/s2 = 386.088 in/s2
Calculate Area of Rod
Calculate Stress as
Assuming that material is stressed within elastic limit, hence it obeys Hook’s Law. Therefor calculate strain e
Calculate change in length dl
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Chapter 11 Solutions
Theory and Design for Mechanical Measurements
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