Question

A 45-mm-diameter solid steel shaft supports loads $P_A$ = 1.8 kN and $P_C$ = 3.1 kN as shown. Assume that $L_1$ = 125 mm, $L_2$ = 260 mm, and $L_3$ = 190 mm. The bearing at B can be idealized as a roller support, and the bearing at D can be idealized as a pin support. Determine the magnitude of (a) the maximum horizontal shear stress in the shaft. (b) the maximum tension bending stress in the shaft. Answers: (a) $\tau_{max}$ = (b) $\sigma_{max}$ =

          A 45-mm-diameter solid steel shaft supports loads $P_A$ = 1.8 kN and $P_C$ = 3.1 kN as shown. Assume that $L_1$ = 125 mm, $L_2$ = 260 mm, and $L_3$ = 190 mm. The bearing at B can be idealized as a roller support, and the bearing at D can be idealized as a pin support. Determine the magnitude of
(a) the maximum horizontal shear stress in the shaft.
(b) the maximum tension bending stress in the shaft.
Answers:
(a) $\tau_{max}$ = 
(b) $\sigma_{max}$ =

A 45-mm-diameter solid steel shaft supports loads PA = 1.8 kN and PC = 3.1 kN as shown. Assume that L1 = 125 mm, L2 = 260 mm, and L3 = 190 mm. The bearing at B can be idealized as a roller support, and the bearing at D can be idealized as a pin support. Determine the magnitude of
(a) the maximum horizontal shear stress in the shaft.
(b) the maximum tension bending stress in the shaft.
Answers:
(a) τmax =
(b) σmax =

Added by Stephen H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Kratika Bhadauria

05/23/2023

Step 1

Let $R_B$ and $R_D$ be the vertical reactions at B and D respectively. Taking moments about D: $R_B \times (L_2 + L_3) = P_A \times (L_1 + L_2 + L_3) + P_C \times L_3$ $R_B \times (260 + 190) = 1.8 \times (125 + 260 + 190) + 3.1 \times 190$ $R_B \times 450 = 1.8 Show more…

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A 45-mm-diameter solid steel shaft supports loads $P_A = 1.8 kN$ and $P_C = 3.1 kN$ as shown. Assume that $L_1 = 125 mm$, $L_2 = 260 mm$, and $L_3 = 190 mm$. The bearing at B can be idealized as a roller support, and the bearing at D can be idealized as a pin support. Determine the magnitude of (a) the maximum horizontal shear stress in the shaft. (b) the maximum tension bending stress in the shaft. Answers: (a) $\tau_{max} = $ (b) $\sigma_{max} = $