Question

5. A stepped, circular shaft is fixed at A and subjected to torques at B, D and E in the direction:s shown. The segment AB is solid with a radius of 40 mm. The segment CE is hollow with an outside radius of 30 mm and inside radius of 20 mm. LAB 0.5 m, LBc-0.5 m, LcD-0.9 m, LD 0.6 m. 1I3 a) If To equals 6 N-m, TB - 14 N-m, and the magnitude of To is three times that of TE draw the torsion moment diagram and find the maximunm shear stress in the shaft. 5 points b) IfT 14 N-m, the magnitude of To is three times that of TE and the angle of twist at the midpoint between C and D is 0, find To and TE. 10 points. c) If TB 14 N-m and point E is now clamped by a wall, find the value and sense of To such that the relative ange f twist between u to ero. 10 points.

Answer 1

24 上一 Nm 3 S -1o Nm Tmox (4) Trna 32 40x 16 160 Tgnae gg. 522 kPa

14-2x) ot tthe midpoint between c2 p u c て 6J #8 BC GJcc (2x)X-45 + (2xJX-5 14-2x2x-5 + ,069 ,04。 Given o D 90x 一(7-7) Coo0 o5 (7-2x) 066T-0.040) 1.647-24096x D.9x "X 二1.2624 5.7664 -7664 3.7824 Nm

TD-? TD -(14-5) χ 0.5 0864) 、 一61 x3_c0 604-0-0404) 32 (14-TD) χ 0.5 4 096 0-6T :D 1 64 Seen