A prismatic bar is subjected to loads that cause uniform axial strains =0.002 in

Question

A prismatic bar is subjected to loads that cause uniform axial strains =0.002 in its left half and =-0.004 in its right half. What is the resulting change in length of the 28-in bar?

Explanation / Answer

strain = change in length / original length total length = 28 in ---->>>> half length = 14 in given strain in left half = 0.002 so 0.002 = change in length of left half / original length of left half so change in length of left half = 0.002 * 14 = 0.028 in [increase in length that is tensile] strain in right half = -0.004 so -0.004 = change in length of right half / original length of right half so change in length of right half = -0.004 * 14 = -0.056 in [ decrease in length that is compression] so net change in length = -0.056 + 0.028 = -0.028 inch so the prismatic bar is compressed 0.028 inch

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