The metal strap has a thickness t and width w and is subjected to a temperature gradient

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The metal strap has a thickness t and width w and is subjected to a temperature gradient T1 to T2 (T1 < T2). This causes the modulus of elasticity for the material to vary linearly from E1 at the top to a smaller amount E2 at the bottom. As a result, for any vertical position y, measured from the top surface, E = [(E2 – E1)/w]y + E1. Determine the position d where the axial force P must be applied so that the bar stretches uniformly over its cross section.

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Mechanics of Materials

ISBN: 978-0134319650

10th edition

Authors: Russell C. Hibbeler

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