A cylindrical bar is 30mm in diameter and 2000mm long. The bar is subjected to uniform stress of 100 N/mm2 in all directions. Calculate the modulus of rigidity and bulk modulus.

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A cylindrical bar is 30mm in diameter and 2000mm long. The bar is subjected to uniform stress of 100 N/mm2 in all directions. Calculate the modulus of rigidity and bulk modulus.

written 4.7 years ago by

teamques10 ★ 64k

• modified 4.7 years ago

If the modulus of elasticity is 1×105 N/mm2 and Poisson’s ratio is 0.2.

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written 4.7 years ago by

teamques10 ★ 64k

Data: d=30mmØ, L=2000mm, σ =100 N/mm2, E=1×105 N/mm2, μ =0.2 Find: K and G

$E=3 K(1-2 \mu)$

$1 \times 10^{5}=3 K(1-2 \times 0.2)$

$K=5.55 \times 10^{4} \mathrm{N} / \mathrm{mm}^{2}$

$E=2 G(1+\mu)$

$1 \times 10^{5}=2 G(1+0.2)$

$G=4.16 \times 10^{4} \mathrm{N} / \mathrm{mm}^{2}$

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