Question

PLEASE SOLVE TO MATCH ANSWER BELOW:

4.10 The composite shaft shown in Figure P4.10 is constructed from aluminum (Gal = 4000 ksi), bronze (GC/Sn = 6000 ksi), and steel (Gst = 12,000 ksi). (a) Determine the rotation of the free end with respect to the wall. (b) Plot the shear strain and shear stress across the cross section.

Partial Answer: (a) 0.0479 radians

(b) plot the stress and strain diagram.

Answer 1

Given GAI= 4000ksi ç culon 6000 ksi 25 - kist Gst = 12,000ksi k 2 (6) There are connected in parallel so, for parallel shafte T= of Cars, + G2J 2+ G373) 30x 12 = cuse o x 03+(coox (1935-203) + (12000 XT (25"- (1.53%)] x 103 (0."-d.") fs for hellow shaft - 32 : 5 5) 30 - x 15.66x 103 o= 30x25 ca 15.666 103 O=0.0479 rad shear stress distribution By torsion formula, I = som =) iar

At the cen the center of shaft, shear stress t=0 interface of the Aluminum & bronze T= 6,0 x ( ² ) 4000 X 0.0479 .x - 25 (0.3) a 3.8ksi bronze and steel interface T2 = 2 x ( )= 6000 80.479 is as the - 8.6 ksi at outer surface T3= 12000x 6.0479 C 25 = 23ksi shear stress distribution.