A rod of steel is 5m long and 3cm diameter at a temperature of 20°C. Find the free expansion of the rod when the temperature is raised to 65°C. Find the respective pulls exerted if (i) the ends do not yield and (ii) the ends yield by 0.12 cm. Y=2×105MN/m2 and α=12×10−6 per °C
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a
0.27 cm, 42.41 KN, 76.34 KN
b
0.27 cm, 76.30 KN, 42.39 KN
c
0.27 cm, 38.63 KN, 78.23 KN
d
0.27 cm, 78.23 KN, 38.63 KN
answer is B.
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Detailed Solution
If the ends do not yield then F = YA ∆T If the ends yield by an amount e then =YA(dΔT−e)l0