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P,= 400 P,= 400 RA 9,- 200 1------ -3(ft) -6(ft). -3(ft)-----------1 Draw the shear and moment diagram of the beam and label the maximum and minimum values of V and M on the graphs. b. Find the maximum bending stress in the beam due to the bending at points A and B. а.

P,= 400 P,= 400 RA 9,- 200 1------ -3(ft) -6(ft). -3(ft)-----------1 Draw the shear and moment diagram of the beam and label the maximum and minimum values of V and M on the graphs. b. Find the maximum bending stress in the beam due to the bending at points A and B. а.

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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**Beam Analysis** The diagram provided illustrates a beam subjected to various forces. Here's a detailed breakdown: 1. **Loads and Supports:** - Point loads \( P_1 = 400 \, \text{lbs} \) and \( P_2 = 400 \, \text{lbs} \) are applied at both ends of the beam. - A uniformly distributed load \( q = 200 \, \text{lbs/ft} \) acts over a 6 ft span in the center of the beam. - The beam is supported at two points: \( A \) and \( B \), each providing vertical reactions \( R_A \) and \( R_B \), and a horizontal reaction \( H_A \) at \( A \). 2. **Geometry:** - The distances between loads and supports are given as: - 3 ft from \( P_1 \) to \( A \) - 6 ft between \( A \) and \( B \) - 3 ft from \( B \) to \( P_2 \) 3. **Tasks:** a. **Shear and Moment Diagram:** - Draw the shear and moment diagram of the beam. - Label the maximum and minimum values of shear force \( V \) and bending moment \( M \) on these graphs. b. **Bending Stress:** - Calculate the maximum bending stress at points \( A \) and \( B \). These elements combine to create a structural analysis problem requiring calculation of support reactions, shear forces, and bending moments, followed by the evaluation of stresses in the beam.
Transcribed Image Text:**Beam Analysis** The diagram provided illustrates a beam subjected to various forces. Here's a detailed breakdown: 1. **Loads and Supports:** - Point loads \( P_1 = 400 \, \text{lbs} \) and \( P_2 = 400 \, \text{lbs} \) are applied at both ends of the beam. - A uniformly distributed load \( q = 200 \, \text{lbs/ft} \) acts over a 6 ft span in the center of the beam. - The beam is supported at two points: \( A \) and \( B \), each providing vertical reactions \( R_A \) and \( R_B \), and a horizontal reaction \( H_A \) at \( A \). 2. **Geometry:** - The distances between loads and supports are given as: - 3 ft from \( P_1 \) to \( A \) - 6 ft between \( A \) and \( B \) - 3 ft from \( B \) to \( P_2 \) 3. **Tasks:** a. **Shear and Moment Diagram:** - Draw the shear and moment diagram of the beam. - Label the maximum and minimum values of shear force \( V \) and bending moment \( M \) on these graphs. b. **Bending Stress:** - Calculate the maximum bending stress at points \( A \) and \( B \). These elements combine to create a structural analysis problem requiring calculation of support reactions, shear forces, and bending moments, followed by the evaluation of stresses in the beam.
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