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Engineering and Tech / Mechanics of Materials 7 / Chapter 1 / Problem 1.41

Mechanics of Materials | 7th Edition | ISBN: 9780073398235 | Authors: Ferdinand P. Beer; E. Russell Johnston Jr.; John T. DeWolf; David F. Mazurek

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Solved: Members AB and BC of the truss shown are made of

Chapter 1, Problem 1.41

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QUESTION:

Members AB and BC of the truss shown are made of the same alloy. It is known that a 20-mm-square bar of the same alloy was tested to failure and that an ultimate load of 120 kN was recorded. If bar AB has a cross-sectional area of \(225 \mathrm{~mm}^{2}\), determine (a) the factor of safety for bar AB, (b) the cross-sectional area of bar ACif it is to have the same factor of safety as bar AB.

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QUESTION:

Members AB and BC of the truss shown are made of the same alloy. It is known that a 20-mm-square bar of the same alloy was tested to failure and that an ultimate load of 120 kN was recorded. If bar AB has a cross-sectional area of \(225 \mathrm{~mm}^{2}\), determine (a) the factor of safety for bar AB, (b) the cross-sectional area of bar ACif it is to have the same factor of safety as bar AB.

ANSWER:

Step 1 of 12

We have to determine the cross sectional area of members AC and factor of safety for AB. We are given with allowable tensile stresses in terms of test rod. This is a determinate truss, so using the methods of moments and joints we will find the axial forces in these members and thus the required factor of safety and area.

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