Heat and Thermal ExpansionHard
Question
A fine wire of length 4m is fixed rigidly in a heavy in a brass frame as shown in figure. It is just taut at 20oC. The tensile stress developed in steel wire if whole system is heated to 120oC is :-
(αbrass = 1.8 × 10-5 oC-1, αsteel = 1.2 × 10-5 oC-1, Ysteel = 2 × 1011 Nm-2, Ybrass = 1.7 × 107 Nm-2)
(αbrass = 1.8 × 10-5 oC-1, αsteel = 1.2 × 10-5 oC-1, Ysteel = 2 × 1011 Nm-2, Ybrass = 1.7 × 107 Nm-2)
Options
A.1.02 × 104 Nm-2
B.1.2 × 108 Nm-2
C.1.2 × 106 Nm-2
D.6 × 108 Nm-2
Solution
Stress = Y (strain) YS (αbαs) ᐃT = (2 × 1011) (0.6 × 10-5) (100) = 1.2 × 108 Nm-2
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