3. Two solid 1.75 in.-diameter steel shafts are connected by the gears shown. The shaft lengths are L1 = 6 ft and L2 = 10 ft. Assume that the shear modulus of both shafts is G = 12,000 ksi and that the bearings shown allow free rotation of the shafts. If the torque applied at gear D is TD= 225 lb-ft, determine (a) the internal torques T₁ and T2 in the two shafts. (b) the angles of twist 1 and 2. (c) the rotation angles 3 and pc of gears B and G. (d) the rotation angle of gear D. 4₁ 30 teeth 54 teeth 42 a

3. Two solid 1.75 in.-diameter steel shafts are connected by the gears shown. The shaft lengths are L1 = 6 ft and L2 = 10 ft. Assume that the shear modulus of both shafts is G = 12,000 ksi and that the bearings shown allow free rotation of the shafts. If the torque applied at gear D is TD= 225 lb-ft, determine (a) the internal torques T₁ and T2 in the two shafts. (b) the angles of twist 1 and 2. (c) the rotation angles 3 and pc of gears B and G. (d) the rotation angle of gear D. 4₁ 30 teeth 54 teeth 42 a

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

3. Two solid 1.75 in.-diameter steel shafts are connected by the gears shown. The shaft lengths
are L₁= 6 ft and L2 = 10 ft. Assume that the shear modulus of both shafts is G= 12,000 ksi and
that the bearings shown allow free rotation of the shafts. If the torque applied at gear D is TD=
225 lb-ft, determine
(a) the internal torques T₁ and 72 in the two shafts.
(b) the angles of twist 1 and 2.
(c) the rotation angles 3 and þc of gears B and G.
(d) the rotation angle of gear D.
4₁
(1)
30 teeth
54 teeth
B
(2)

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