A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to a

Question

A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P = 50 kN . The elongation of the rod is ? = 1.48mm , and its diameter becomes d1 = 19.984mm .  

Determine the modulus of elasticity of the material. Assume that the material does not yield.

Determine the modulus of rigidity of the material. Assume that the material does not yield.

A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P = 50 kN . The elongation of the rod is ? = 1.48mm , and its diameter becomes d1 = 19.984mm . Determine the modulus of elasticity of the material. Assume that the material does not yield. Determine the modulus of rigidity of the material. Assume that the material does not yield.

Explanation / Answer

Modulus of elasticity = Stress/strain = (P/A) / (dl/L) = PL/AdL = 50000 * 0.6*1000/(pi*0.01*0.01*1.48) = 6.45 *10^10 N/m^2 (ans)

Modulus of rigidity =stress /Volumetric change

= ( P/A) /(dV/V) = PV/AdV

=[50000*pi*0.01*0.01*0.6]/[pi*0.01*0.01* 3.14*0.6*(0.01^2 - 0.00992^2) ] = 9.99*10^9 N/m^2 (ans)

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