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Solved: The weight is suspended from steel and aluminum
Chapter 4, Problem 4-96(choose chapter or problem)
The weight is suspended from steel and aluminum wires, each having the same initial length of 3 m and cross-sectional area of \(4 \mathrm{~mm}^{2}\). If the materials can be assumed to be elastic perfectly plastic, with \(\left(\sigma_{Y}\right)_{\mathrm{st}}=120 \mathrm{MPa}\) and \(\left(\sigma_{Y}\right)_{\mathrm{al}}=70 \mathrm{MPa}\) determine the force in each wire if the weight is (a) 600N and (b) 720N. \(E_{\mathrm{al}}=70 \mathrm{GPa}, E_{\mathrm{st}}=200 \mathrm{GPa} .\)
Questions & Answers
QUESTION:
The weight is suspended from steel and aluminum wires, each having the same initial length of 3 m and cross-sectional area of \(4 \mathrm{~mm}^{2}\). If the materials can be assumed to be elastic perfectly plastic, with \(\left(\sigma_{Y}\right)_{\mathrm{st}}=120 \mathrm{MPa}\) and \(\left(\sigma_{Y}\right)_{\mathrm{al}}=70 \mathrm{MPa}\) determine the force in each wire if the weight is (a) 600N and (b) 720N. \(E_{\mathrm{al}}=70 \mathrm{GPa}, E_{\mathrm{st}}=200 \mathrm{GPa} .\)
ANSWER:
Step 1 of 4
The free body diagram of the weight can be shown as,
