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The two shafts are made of steel (G=11x106 Ib/in²). Each has a diameter of 1 in., and they are 10 in. D supported by bearings at A, B and C, which allow free rotation. If the support at D is fixed, determine the angle of twist of end A when the torques are applied to the assembly as shown. 30 in. 80 lb-ft Н A 40 lb ft 8 in. G 10 in. 6 in. В 4 in. 12 in.

The two shafts are made of steel (G=11x106 Ib/in²). Each has a diameter of 1 in., and they are 10 in. D supported by bearings at A, B and C, which allow free rotation. If the support at D is fixed, determine the angle of twist of end A when the torques are applied to the assembly as shown. 30 in. 80 lb-ft Н A 40 lb ft 8 in. G 10 in. 6 in. В 4 in. 12 in.

Elements Of Electromagnetics
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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The two shafts are made of steel (G=11x106 lb/in2). Each has a diameter of 1 in. , and they are supported by bearings at A, B and C, which allow free rotation. If the support at D is fixed, determine the angle of twist of end A when the torques are applied to the assembly as shown.

Torque applied at H of 80 ft lbs, and at G of 40 ft lbs in opposing directions as seen in the figure

**Problem Description:** The two shafts are made of steel with a shear modulus \( G = 11 \times 10^6 \, \text{lb/in}^2 \). Each shaft has a diameter of 1 inch. They are supported by bearings at points A, B, and C, which allow free rotation. If the support at point D is fixed, determine the angle of twist at end A when the torques are applied to the assembly as shown. **Diagram Explanation:** - The diagram shows an assembly with two horizontal shafts supported by bearings at points A, B, C, and a fixed support at point D. The shafts are aligned along the same axis. - **Distances:** - The distance between support D and point C is 10 inches. - The segment between points C and H is 30 inches long. - The distance from point A to point G is 10 inches. - The distance from point G to point F is 6 inches. - The distance from point F to bearing B is 4 inches. - There is also a distance of 8 inches between A and its next marked section. - **Torques Applied:** - An 80 lb-ft torque is applied at point D. - A 40 lb-ft torque is applied at point H. - Another 40 lb-ft torque is applied at point A. - **Gears:** - Gear E is on the shaft section between points F and B. - Gear F is on the shaft section between points G and F. - Gear G is positioned at the shaft section immediately right of point A. These components are part of the rotational assembly, and the objective is to determine how much the shaft twists at the end A under these conditions.
Transcribed Image Text:**Problem Description:** The two shafts are made of steel with a shear modulus \( G = 11 \times 10^6 \, \text{lb/in}^2 \). Each shaft has a diameter of 1 inch. They are supported by bearings at points A, B, and C, which allow free rotation. If the support at point D is fixed, determine the angle of twist at end A when the torques are applied to the assembly as shown. **Diagram Explanation:** - The diagram shows an assembly with two horizontal shafts supported by bearings at points A, B, C, and a fixed support at point D. The shafts are aligned along the same axis. - **Distances:** - The distance between support D and point C is 10 inches. - The segment between points C and H is 30 inches long. - The distance from point A to point G is 10 inches. - The distance from point G to point F is 6 inches. - The distance from point F to bearing B is 4 inches. - There is also a distance of 8 inches between A and its next marked section. - **Torques Applied:** - An 80 lb-ft torque is applied at point D. - A 40 lb-ft torque is applied at point H. - Another 40 lb-ft torque is applied at point A. - **Gears:** - Gear E is on the shaft section between points F and B. - Gear F is on the shaft section between points G and F. - Gear G is positioned at the shaft section immediately right of point A. These components are part of the rotational assembly, and the objective is to determine how much the shaft twists at the end A under these conditions.
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