Question #121387

. A 25mm diameter rod is subjected to an axial load of 20 000N. If the material is elastic with a Young's Modulus of Elasticity E = 70,000Nmm-2 estimate the percentage elongation.

Expert's answer

**Solution.**

"d=25mm;"

"F=20000N;"

"E=70000N\/mm^2;"

"\\sigma=\\dfrac{F}{S};"

"S=\\dfrac{\\pi d^2}{4};"

"\\sigma=E\\epsilon\\implies\\epsilon=\\dfrac{\\sigma}{E};"

"S=3.14\\sdot\\dfrac{(25mm)^2}{4}=490.625mm^2;"

"\\sigma=\\dfrac{20000N}{490.625mm^2}=40.76N\/mm^2;"

"\\epsilon=\\dfrac{40.76N\/mm^2}{70000N\/mm^2}=0.00058=0.058\\%;"

**Answer: **"\\epsilon=0.058\\%."

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