Question

ngsten plate having a thickness d each rm a flat bi alic plate. Find the average radius of the curvature f this plate at temperature T. The coefficient of linear are riveted together so that at 0°C they fo expansion for Copper and tungsten are 00u and all + (ac+ α)T] (b) ras

please explain the correct option d in detail with diagrams.

Answer 1

New length of copper & W at temp 'T' can be written as: l_c = l(1 + alpha_c T) l_t = l(1 + alpha_t T) which can be written as: - therefore R_c theta = l (1 + alpha_c T) - (1) & R_t theta = l(1 + alpha_t T) - (2) Dividing (2) from (1) R_c/R_t = 1 + alpha_c T/1 + alpha_c T Applying componendo & Dividendo R_c + R_t/R_c - R_t = 2 + (alpha_c + alpha_t) T/(alpha_c - alpha_t)T Now (R_c + R_c) can be written as 2 R_Avg R_Avg/(R_c - R_t) = (2 + (alpha_c + alpha_t)T)/2(alpha_c - alpha_t)T Also, R_c - R_t can be written as d therefore R_Avg = dx[2 + (alpha_c + alpha_t)T/2(alpha_c - alpha_t)T].