3. Angle of Twist of Gears
Consider an A-36 steel ($$G = 11,000$$ ksi) shaft made of two solid parts (AB and CD) and one tubular (hollow) part (BC). The solid parts both have a diameter of 10 in. and the tubular part has an outer diameter of 8 in. and an inner diameter of 7 in. The shaft is supported at both ends by bearings (A and D) such that it can rotate freely, and it is subjected to 40 lb-ft and 40 lb-ft torques as shown in figure. Determine the angle of twist of gear B relative to gear C.
Solid
40 lb-ft
40 lb-ft
Tube
Solid
2 ft
B
2 ft
C
2 ft
D