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Two rods of different materials with coefficients of linear expansion α1 and α2 respectively; Young's moduli Y1 & Y2 respectively; of initial lengths l1 and l2 respectively are joined at one end. the free ends are fixed to two vertical walls as shown in the fig. Temperature of the surrounding is then increased by T°C. Find out the displacement of the joint of the rods.

Two rods of different materials with coefficients of linear expansion α1 and α2 respectively; Young's moduli Y1 & Y2 respectively; of initial lengths l1 and l2 respectively are joined at one end. the free ends are fixed to two vertical walls as shown in the fig.
Temperature of the surrounding is then increased by T°C. Find out the displacement of the joint of the rods.

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Grade:12th pass

1 Answers

bhanu prakash reddy
14 Points
6 years ago
(l1l2T)(∂1Y1− ∂2Y2)/(Y2l1+Y1l2)

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