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A structural steel rod has a radius of 1...

A structural steel rod has a radius of 10 mm and a length of 1.0 m. A 100 kN force stretches it along its length. Calculate (a) stress, (b) elongation, and ( c ) strain on the rod. Young's modulus, of structural steel is 2.0 `xx` `10^(11)` N `"m"^(-2)`.

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To solve the problem step by step, we will calculate the stress, elongation, and strain on the structural steel rod. ### Given Data: - Radius of the rod, \( r = 10 \, \text{mm} = 10 \times 10^{-3} \, \text{m} \) - Length of the rod, \( L = 1.0 \, \text{m} \) - Force applied, \( F = 100 \, \text{kN} = 100 \times 10^{3} \, \text{N} \) - Young's modulus of structural steel, \( E = 2.0 \times 10^{11} \, \text{N/m}^2 \) ...
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Knowledge Check

  • A steel rod has a radius 10 mm and a length of 1.0 m. A force stretches it along its length and produces a strain of 0.32% . Young's modulus of the steel is 2.0xx10^(11Nm^(-2) . What is the magnitude of the force stretching the rod?

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    C
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    D
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    A
    `100.5 kN`
    B
    `201 kN`
    C
    `78 kN`
    D
    `150 kN`

  • A structural steel rod has a radius r(=10 mm) and a length l(=1 m). When a force F(= 100 kN) is applied, it stretches it along its length. Young's modulus of elasticity of the structural steel is 2.0xx10^(11) Nm^(-2) . What is the elastic energy density of the steel rod ?

    A
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    B
    `1.25xx10^(4) Jm^(-3)`
    C
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    D
    `2.5xx10^(5) Jm^(-3)`

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