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Find out stress - strain and elongation of bar:
A circular rod having diameter 20 m and 500 m long is subjected to the tensile force of 45kN. The modulus of elasticity for steel can be taken as200 kN/m2. Find out stress, strain and elongation of bar because of applied load.
Sol.: Given:
D = 20m
L = 500m
P = 45KN = 45000N
E = 200KN/m2 = (200 × 1000 N/mm2 = 200000 N/m2
By using the relation; σ = P/A = P/(Π /4 × D2)
σ = 45000/( Π /4 × 202)
σ = 143.24 N/m2 .......ANS
E = σ / e
200000 = 143.24 /e
e = 0.000716 .......ANS
Now, e = dLA/L
0.000716 = dLA/500
dLA = 0.36 .......ANS
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