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Determine the internal force and shear force, and the bending moment in the beam at Points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. 8 kip 40 kip ft 8 it -8ft

Determine the internal force and shear force, and the bending moment in the beam at Points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. 8 kip 40 kip ft 8 it -8ft

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter5: Beams And Frames: Shear And Bending Moment
Section: Chapter Questions
Problem 53P: For the beam shown: (a) determine the distance a for which the maximum positive and negative bending...
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**Problem Statement:** Determine the internal force and shear force, and the bending moment in the beam at Points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. **Diagram Explanation:** The image shows a simply supported beam with: - A pin support at point A. - A roller support at point B which is 24 feet away from point A. - The beam is loaded with a concentrated vertical load of 8 kips at a point 8 feet away from A towards the right. - Additionally, a moment of 40 kip-ft is applied at point B, the roller support. - Points C and D are marked on the beam. Point C is located 8 feet from A (just to the right of the 8-kip load), and Point D is located 16 feet from A (the midpoint of the beam). **Dimensions and Loads:** - Distance between A and C: 8 feet - Distance between C and D: 8 feet - Distance between D and B: 8 feet - Vertical load at 8 feet from A: 8 kips - Moment at point B: 40 kip-ft **Steps for Solution:** 1. Calculate the reactions at supports A and B using static equilibrium equations: - Sum of vertical forces (∑Fy) = 0 - Sum of moments about point A (∑MA) = 0 2. Determine the shear force and bending moment at points C and D by sectioning the beam and applying equilibrium equations to each segment. 3. Draw the shear force diagram (SFD) and bending moment diagram (BMD) to visually represent the internal forces and moments.
Transcribed Image Text:**Problem Statement:** Determine the internal force and shear force, and the bending moment in the beam at Points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. **Diagram Explanation:** The image shows a simply supported beam with: - A pin support at point A. - A roller support at point B which is 24 feet away from point A. - The beam is loaded with a concentrated vertical load of 8 kips at a point 8 feet away from A towards the right. - Additionally, a moment of 40 kip-ft is applied at point B, the roller support. - Points C and D are marked on the beam. Point C is located 8 feet from A (just to the right of the 8-kip load), and Point D is located 16 feet from A (the midpoint of the beam). **Dimensions and Loads:** - Distance between A and C: 8 feet - Distance between C and D: 8 feet - Distance between D and B: 8 feet - Vertical load at 8 feet from A: 8 kips - Moment at point B: 40 kip-ft **Steps for Solution:** 1. Calculate the reactions at supports A and B using static equilibrium equations: - Sum of vertical forces (∑Fy) = 0 - Sum of moments about point A (∑MA) = 0 2. Determine the shear force and bending moment at points C and D by sectioning the beam and applying equilibrium equations to each segment. 3. Draw the shear force diagram (SFD) and bending moment diagram (BMD) to visually represent the internal forces and moments.
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