Question

A Problem 21 Determine the angle of twist at C with respect to A for the multi-diameter shaft with a modulus of rigidity = 10 ksi. B a) 0.01523 radians b) 0.09485 radians 5 kip-in +2 kip-in 4 kip-in c) 0.22002 radians d) 3.81923 radians e) 0.00593 radians 10 in. Diameters:8 = 6 in. c = 4 in. D = 2 in. Sin. 15 in. Problem 22 Determine the minimum shear stress in the multi-diameter shaft of problem 21. a) 212 psi b) 1,273 psi c) 159 psi d) 2,546 psi e) 0 Problem 23 Determine the maximum shear stress in CD of the multi-diameter shaft of problem 21. a) 212 psi b) 1,273 psi c) 159 psi d) 2,546 psi e) 0

Answer 1

STEP I: GIVEN D • 2kipin 15 in 5 kipin lo in sin 4kipin G=10ksi Darabin, Pec-4in, Polin STEP II: TO FIND YANG LE OF TWIST(OCA) AT Ć W.R.T. 'a'= ? by MINIMUM SHEAR STRESS =p CJ MAXIMUM SHEAR STRESS IN CD'= ? STEPTI: TORQUES. TED : TORQUE IN SECTION 'CD' =TD=-4kibin Toc To-Tc = - 4+2 = -2 kipin TAB = To-Tetto = -4+2-5 =-7 kipin STEP TV : ANGLE OF TWIST (OCA) TAB LAB TBC Loc 1 "TABLAB Toe Loc G GBC JBC JAC -7x10 -285 7/32 x 44 STEP I: MINIMUME SMEAR STRESS Tx 16T J A DA 32 TAB - TARIS - 7x16 --0.16505 ksi =-165.05 psi JAB OCJA GAB JAB 0.094805 radians ZANS(8) Ix (-2/ 32x 64 10 D/2 ñ D3 TE TR PAB Īx 63 -2x16--0.15915 ksi =-159.15 psi Rx 43 EANS 22(c) TBC = TBCxIG Doc Tco = 16 TCD TxDCD 4x16 --2.546 48ksi =-2546.48 psi ZANS 230D) Tx 23