Question

Required information Problem 02.039 - Deformations in a stepped shaft with multiple loads - DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS Two cylindrical rods, AC made of aluminum and CD made of steel, are joined at Cand restrained by rigid supports at A and D. It is given that Ea = 10.4 x 106 psi, Es= 29 x 106 psi, and P = 16 kips. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 8 in.1 10 in.- 10 in. C! D 14 kips 1. in. diameter 1-in. diameter Problem 02.039.b - Deformations in a stepped shaft with multiple loads Determine the deflection of point C. The deflection of point Cis C *10-3 in.

Answer 1

Solution: - 1 TB 27 A-C Aluminium c-o steel fa= 10.4×106 Psi Es 29x106 Psi P= 16 kips da = 1.125 in dy= 1.65 in of 14 kips * roin sin loin Nodes: 1, 2, 3 and 4 2/ 3 elemwitsce): 0, 0,3 3 4 I. I are Local Nodes A, & A₂ - The = 17 (1125) -0.994 in Az = T = T (1.625² = 2.0739 in 17 *. om () :] => 09:16 -1.2922 1.2922 © 0.994 x 10-4 X10 1.0337 -1.0337 1-1.0337 1.0337 - 6014370 6.01434 2 3 + 1.2722 -12122 0 .7 -1087 1048 - Gorg Iker = -1.2122 2.3259 -1.037 106 o 0 -6-0143 60143

We know that kQEF So, the displacement at node 1 and node 4 are zero because they are fixed Supports so elminate first how - first Column and fourts sow and fourth Cokemon them cveset 'k' (2-0,9=0 KQ=F | 23:59 -1037] [37-500] 105 -1.037 1048] [3] [4] 2.3259% - 1.03793 = 16 -1.037 % + 7.040 83 = 14 - By solving the above equations weget 2 = 8.309x10² in 8 = 3.209 x10 in so, the displacement or deflection at Point ( is equal to | |- 3 2 7 x6 : 1 It you have any doubt's ark me plese rate my answers