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. My work Since my physics is not good so m not pretty sure about what i am applying.. but as i remember my friend guided me once to work on such questions.. I considered the displacement of the joint (say 'x') in any direction (right or left). Now, x = Δl1 - Δl2 and, k1Δl1 = k2Δl2 where, k = YA/L but the two eqns. only are not proving helpful. If someone could guide me on this question. Answer is. x = l1l2(-Y1α1 + Y2α2) / (Y2l1 + Y1l2)
