square steel rod 20×20mm is section is to carry an axial load of 100 kn. calculate the shorthening in a length of 50mm.
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Explanation:
Given square steel rod 20 mm ×20 mm is section is to carry an axial load of 100 kn. calculate the shortening in a length of 50 mm.
- Now A = 20 mm x 20 mm = 0.02 x 0.02
- = 0.0004 sq m
- Length l = 50 mm = 50 x 10^-3 = 0.05 m
- So load p = 100 KN
- Also E = 2.14 x 10^8 KN / m^2
- So Δ l is shortening of the rod.
- Stress Δ = P / A
- = 100 / 0.0004
- = 250000 KN / m^2
- Now E = Stress / Strain
- Or Strain = Stress / E
- = 250000 / 2.14 x 10^8
- Therefore Δ l = 250000 / 2.14 x 10^8 x l
- Or Δ l = 250000 / 2.14 x 10^8 x 0.05
- = 5841.12 x 10^-8 m
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