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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2. A composite shaft is made of slipping a bronze tube of 3-in. outer diameter and 2-in. inner diameter over a solid steel shaft of the same length and 2-in. diameter. The two components are fastened rigidly together at their ends. What is the largest torque that can be carried by the composite shaft if the working shear stresses are 10 ksi for bronze and 14 ksi for the steel? If the hollow tube is made out of steel and the solid shaft is made out of bronze, what is the largest torque that can be carried by the composite shaft if the same working shear stresses are applied? For bronze, G = 6 x 10° psi, and for steel, G = 12 x 10°.
TORSION An aluminum shaft with a constant diameter of 70 mm is loaded by torques applied to gears attached to it. Use G = 28 GPa. DETERMINE: A. the relative angle of twist of gear D relative to gear A (in degrees) B. the direction of the rotation of A relative to D? PROVIDE FBD
2. In the gear system shown, the motor applies a torque of 600 N-m to the gear at A. Shafts (1) and (2) are solid shafts, and the bearings shown allow free rotation of the shafts. (a) Determine the torque TE provided by the gear system at gear E. (b) If the allowable shear stress in each shaft must be limited to 70 MPa, determine the minimum permissible diameter for each shaft. 72 teeth B 24 teeth (1) 30 teeth 60 teeth (2) E
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An aluminum shaft with a constant diameter of 60 mm is loaded by torques applied to gears attached to use it. Use G= 28 GPa. a. Determine the relative angle of twist of gear D relative to gear A (in degrees) b. What is the direction of the rotation of A relative to D?