(a) Explanation Given information: The normal strain in Rosette 1 is ε 1 = + 420 × 10 − 6 in ./in . . The Rosette 1 makes an angle with the x -axis is θ 1 = 0 ° . The normal strain in Rosette 2 is ε 2 = − 45 × 10 − 6 in ./in . . The Rosette 2 makes an angle with the x -axis is θ 2 = 45 ° . The Rosette 3 makes an angle with the x -axis is θ 3 = 90 ° . The normal strain in Rosette 4 is ε 4 = + 165 × 10 − 6 in ./in . . The Rosette 4 makes an angle with the x -axis is θ 4 = 135 ° . Calculation: The Rosette’s 2 and 4 are separated by 90 ° . Find the average normal strain ( ε ave ) using the relation. ε ave = ε 2 + ε 4 2 Substitute − 45 × 10 − 6 in ./in . for ε 2 and + 165 × 10 − 6 in ./in . for ε 4 (b) To determine Find the in-plane maximum shearing strain.

7th Edition

ISBN: 9780073398235

Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek

Publisher: McGraw-Hill Education

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Chapter 7.9, Problem 146P

(a)

To determine

Find the reading in the gage 3.

(b)

To determine

Find the in-plane maximum shearing strain.

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Chapter 7.9, Problem 145P

Chapter 7.9, Problem 147P

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Mechanics of Materials, 7th Edition

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Find the reading in the gage 3.

Solution Summary: The author calculates the reading in the gage 3 using the relation. The Rosette's 2 and 4 are separated by 90°.

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Find the reading in the gage 3.

Find the in-plane maximum shearing strain.

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Chapter 7 Solutions