A structural steel rod has a radius of 10 mm and length of 1.0 m . A 100 kN force stretches it along its length. Young's modulus of structural steel is 2 × 1 0 11 Nm − 2 . The percentage strain i

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A structural steel rod has a radius of 10 mm and length of 1.0 m . A 100 kN force stretches it along its length. Young's modulus of structural steel is 2 × 1 0 11 Nm − 2 . The percentage strain is about

TestHub · Accepted Answer

Given: F = 100 kN = 1 0 5 N ​ Y = 2 × 1 0 11 Nm − 2 ℓ 0 ​ = 1.0 m ​ radius r = 10 mm = 1 0 − 2 m From formula, Y = Strain Stress ​ ⇒ Strain = Y Stress ​ = A Y F ​ ​ = π r 2 Y 1 0 5 ​ = 3.14 × 1 0 − 4 × 2 × 1 0 11 1 0 5 ​ = 628 1 ​ ​ Therefore % strain = 628 1 ​ × 100 = 0.16%

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