I am having an issue finding the max moment. how do I do this problem. A 24 mm diameter solid steel shaft supports loads \( P_A = 1010 \, \text{N} \), \( P_C = 3360 \, \text{N} \), and \( P_E = 860 \, \text{N} \). Assume \( L_{AB} = 77 \, \text{mm} \), \( L_{BC} = 200 \, \text{mm} \), \( L_{CD} = 77 \, \text{mm} \), and \( L_{DE} = 126 \, \text{mm} \). The bearing at \( B \) can be idealized as a roller support and the bearing at \( D \) can be idealized as a pin support. Determine the magnitude and location of:(a) the maximum horizontal shear stress in the shaft.(b) the maximum tensile bending stress in the shaft.**Diagram Explanation:**The diagram shows a shaft supported at bearings B and D. The shaft carries three concentrated loads: \( P_A \) at point A, \( P_C \) at point C, and \( P_E \) at point E. The distances between these points are labeled: \( L_{AB} \), \( L_{BC} \), \( L_{CD} \), and \( L_{DE} \). The supports are depicted as a roller at B (allowing horizontal movement) and a pin at D (restricting horizontal movement). The forces are shown as downward arrows, indicating the direction of the applied loads on the shaft.

A 24 mm diameter solid steel shaft supports loads PA = 1010 N, Pc = 3360 N, and PE = 860 N. Assume LAB = 77 mm, LBC = 200 mm, LcD = 77 mm, and LDE = 126 mm. The bearing at B can be idealized as a roller support and the bearing at D can be idealized as a pin support. Determine the magnitude and location of: (a) the maximum horizontal shear stress in the shaft. (b) the maximum tensile bending stress in the shaft. G A B LAB LBC C Pc LCD D LDE E

A 24 mm diameter solid steel shaft supports loads PA = 1010 N, Pc = 3360 N, and PE = 860 N. Assume LAB = 77 mm, LBC = 200 mm, LcD = 77 mm, and LDE = 126 mm. The bearing at B can be idealized as a roller support and the bearing at D can be idealized as a pin support. Determine the magnitude and location of: (a) the maximum horizontal shear stress in the shaft. (b) the maximum tensile bending stress in the shaft. G A B LAB LBC C Pc LCD D LDE E

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

I am having an issue finding the max moment. how do I do this problem.

A 24 mm diameter solid steel shaft supports loads \( P_A = 1010 \, \text{N} \), \( P_C = 3360 \, \text{N} \), and \( P_E = 860 \, \text{N} \). Assume \( L_{AB} = 77 \, \text{mm} \), \( L_{BC} = 200 \, \text{mm} \), \( L_{CD} = 77 \, \text{mm} \), and \( L_{DE} = 126 \, \text{mm} \). The bearing at \( B \) can be idealized as a roller support and the bearing at \( D \) can be idealized as a pin support. Determine the magnitude and location of:
(a) the maximum horizontal shear stress in the shaft.
(b) the maximum tensile bending stress in the shaft.

**Diagram Explanation:**

The diagram shows a shaft supported at bearings B and D. The shaft carries three concentrated loads: \( P_A \) at point A, \( P_C \) at point C, and \( P_E \) at point E. The distances between these points are labeled: \( L_{AB} \), \( L_{BC} \), \( L_{CD} \), and \( L_{DE} \). The supports are depicted as a roller at B (allowing horizontal movement) and a pin at D (restricting horizontal movement). The forces are shown as downward arrows, indicating the direction of the applied loads on the shaft.

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Step 1: Given data

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Step 2: Draw FBD of given system and calculation of support reactions

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Step 3: Calculation of shear force

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Step 4: Calculation of the maximum horizontal shear stress in the shaft

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Step 5: Calculation of the bending moment

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Step 6: Calculation of the maximum tensile bending stress in the shaft

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