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An aluminum bar 125 mm (5.0 in.) long and having a square
Chapter 6, Problem 6.5(choose chapter or problem)
An aluminum bar 125 mm (5.0 in.) long and having a square cross section 16.5 mm (0.65 in.) on an edge is pulled in tension with a load of 66,700 N \((15,000 \ lb_f)\) and experiences an elongation of 0.43 mm
(\(1.7 \times 10^{-2} in.\)). Assuming that the deformation is entirely elastic, calculate the modulus of elasticity of the aluminum.
Questions & Answers
QUESTION:
An aluminum bar 125 mm (5.0 in.) long and having a square cross section 16.5 mm (0.65 in.) on an edge is pulled in tension with a load of 66,700 N \((15,000 \ lb_f)\) and experiences an elongation of 0.43 mm
(\(1.7 \times 10^{-2} in.\)). Assuming that the deformation is entirely elastic, calculate the modulus of elasticity of the aluminum.
Step 1 of 3
We need to find the modulus of elasticity of the aluminum \(E\). We are given an aluminum bar with a length \(l=125 \mathrm{~mm}=0.125 \mathrm{~m}\) and area \(A=(16.5 \mathrm{~mm})^{2}=272.25 \times 10^{-6} \mathrm{~m}^{2}\). The bar is under a tension load where the force is \(F=66700 \mathrm{~N}\) and the elongation is \(\Delta l=0.43 \mathrm{~mm}=0.00043 \mathrm{~m}\).