## Torsional Shaft Analysis**Problem Description:**Oh no! The bearing at the wall on the left has been damaged. It is now acting like another gear that can resist a moment (TW). You estimate the shaft has had torsional loading as follows:- Torque at A (TA): 200 Nm- Torque at B (TB): 530 Nm- Torque at C (TC): 120 Nm- Torque at D (TD): 150 Nm- Torque at wall (TW) = ?The shaft diameter is 60 mm. The shaft looks okay, but you are checking to see if it has exceeded the allowed shear stress for the shaft.**Diagram Explanation:**The diagram shows a horizontal shaft with gears labeled A, B, C, and D, each 600 mm apart. There is a notation for TW at the left end where the bearing is located.**Questions:**A) Which segment has the maximum torsion? _______B) What is the maximum shear stress due to torsion? ___________C) Assume T_allow = 60 MPa. Did the shaft exceed the allowed shear stress? **Further Analysis:**The diagram and information provided can be used to calculate the torsional moments in each segment and the corresponding shear stresses. This helps in identifying the segment with the maximum torsion and verifying if the shear stress is within the permissible limits.

Answered: Image /qna-images/answer/972fdab9-6006-4ba9-9b13-4d1b861c6649.jpg

Oh no! The bearing at the wall on the left has been damaged. It is now acting like another gear that can resist a moment(TW). You estimate the shaft has had torsional loading as follows: TA= 200 Nm TB= 530 Nm TC= 120 Nm TD= 150 Nm TW =? See the diagram for the direction of the torques on the shaft. The shaft diameter is 60 mm. The shaft looks ok but you are checking to see if it has exceeded the allowed shear stress for the shaft. Tw .600 mm 600 mm 600 mm A) Which segment has the maximum Torsion? B) What is the maximum shear stress due to torsion? C) Assume Tallow = 60 MPa did the shaft exceed the allowed shear?

Oh no! The bearing at the wall on the left has been damaged. It is now acting like another gear that can resist a moment(TW). You estimate the shaft has had torsional loading as follows: TA= 200 Nm TB= 530 Nm TC= 120 Nm TD= 150 Nm TW =? See the diagram for the direction of the torques on the shaft. The shaft diameter is 60 mm. The shaft looks ok but you are checking to see if it has exceeded the allowed shear stress for the shaft. Tw .600 mm 600 mm 600 mm A) Which segment has the maximum Torsion? B) What is the maximum shear stress due to torsion? C) Assume Tallow = 60 MPa did the shaft exceed the allowed shear?

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

## Torsional Shaft Analysis

**Problem Description:**

Oh no! The bearing at the wall on the left has been damaged. It is now acting like another gear that can resist a moment (TW). You estimate the shaft has had torsional loading as follows:

- Torque at A (TA): 200 Nm
- Torque at B (TB): 530 Nm
- Torque at C (TC): 120 Nm
- Torque at D (TD): 150 Nm
- Torque at wall (TW) = ?

The shaft diameter is 60 mm. The shaft looks okay, but you are checking to see if it has exceeded the allowed shear stress for the shaft.

**Diagram Explanation:**

The diagram shows a horizontal shaft with gears labeled A, B, C, and D, each 600 mm apart. There is a notation for TW at the left end where the bearing is located.

**Questions:**

A) Which segment has the maximum torsion? _______

B) What is the maximum shear stress due to torsion? ___________

C) Assume T_allow = 60 MPa. Did the shaft exceed the allowed shear stress?

**Further Analysis:**

The diagram and information provided can be used to calculate the torsional moments in each segment and the corresponding shear stresses. This helps in identifying the segment with the maximum torsion and verifying if the shear stress is within the permissible limits.

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