5-49. The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown. Determine the angle of twist of end B with respect to end A. The shaft has a diameter of 40 mm. Problem 5-49 A 200 N·m 600 N·m 400 mm 1200 N·m 500 mm 400 N·m 600 mm B

5-49. The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown. Determine the angle of twist of end B with respect to end A. The shaft has a diameter of 40 mm. Problem 5-49 A 200 N·m 600 N·m 400 mm 1200 N·m 500 mm 400 N·m 600 mm B

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

5-49. The splined ends and gears attached to the A992 steel shaft are subjected to the torques
shown. Determine the angle of twist of end B with respect to end A. The shaft has a diameter of
40 mm.
Problem 5-49
A
200 N·m
600 N·m
400 mm
1200 N·m
500 mm
400 N·m
600 mm
B

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PLEASE ANSWER PART 4 and 5 Part 1 Calculate the polar moments of inertia in segments (1) and (2). Answer: J₁ = 13.84 in.⁴ J₂= 1.535 in. ⁴ Part 2 Calculate the internal torques T1 and T2 in shaft segments (1) and (2), respectively. On paper, prepare an internal torque diagram for the compound shaft that shows these internal torques. Use the sign convention presented in Section 6-6. Answer: T₁ = 800 Ib-ft, T₂= -800 Ib-ft. Part 3 Calculate the maximum shear stress in each shaft segment. On paper, prepare a diagram that shows the maximum shear stress in segments (1) and (2) of the shaft. Use the sign convention presented in Section 6-6. Answer: τ₁ = 1560.69 psi, τ₂ = -7817.59 psi Part 4 (PLEASE ANSWER) Determine the rotation angle of B with respect to the support at A. Please Answer: φB= rad. Part 5 (PLEASE ANSWER) Determine the rotation angle of C with respect to the support at A. Please Answer: φC= rad.