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8. Rod AB is fixed to a smooth collar D, which slides freely along the vertical guide. Determine the normal force, shear force, and moment at point C, which is located just to the left of the 60 lb concentrated load. 5 ft 60 lb C 15 lb/ft 1.5 ft- B $30⁰

8. Rod AB is fixed to a smooth collar D, which slides freely along the vertical guide. Determine the normal force, shear force, and moment at point C, which is located just to the left of the 60 lb concentrated load. 5 ft 60 lb C 15 lb/ft 1.5 ft- B $30⁰

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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8.) Please help with problem and provide FBDs (free body diagrams)
**Problem Statement:** 8. Rod \( AB \) is fixed to a smooth collar \( D \), which slides freely along the vertical guide. Determine the normal force, shear force, and moment at point \( C \), which is located just to the left of the 60 lb concentrated load. **Diagram Explanation:** - The diagram shows a rod \( AB \) with a length of 6.5 ft. - The rod is positioned horizontally with end \( A \) attached to collar \( D \). - Collar \( D \) can move freely along a vertical guide. - There is a uniformly distributed load of 15 lb/ft on the rod running from \( A \) to \( B \). - A concentrated load of 60 lb is applied vertically downward at a point \( 1.5 \) ft from \( B \). - Point \( C \) is located 5 ft from \( A \) and is to the left of the concentrated load. - At end \( B \), the rod is oriented at an angle of \( 30^\circ \) with respect to the horizontal. **Detailed Analysis:** - To analyze the forces at point \( C \), consider: - The distributed load creates a linear force along the rod between \( A \) and \( B \). - The concentrated load contributes to the vertical force at point \( C \). - Balance of moments and forces needs to be calculated to solve for shear force, normal force, and bending moment at \( C \).
Transcribed Image Text:**Problem Statement:** 8. Rod \( AB \) is fixed to a smooth collar \( D \), which slides freely along the vertical guide. Determine the normal force, shear force, and moment at point \( C \), which is located just to the left of the 60 lb concentrated load. **Diagram Explanation:** - The diagram shows a rod \( AB \) with a length of 6.5 ft. - The rod is positioned horizontally with end \( A \) attached to collar \( D \). - Collar \( D \) can move freely along a vertical guide. - There is a uniformly distributed load of 15 lb/ft on the rod running from \( A \) to \( B \). - A concentrated load of 60 lb is applied vertically downward at a point \( 1.5 \) ft from \( B \). - Point \( C \) is located 5 ft from \( A \) and is to the left of the concentrated load. - At end \( B \), the rod is oriented at an angle of \( 30^\circ \) with respect to the horizontal. **Detailed Analysis:** - To analyze the forces at point \( C \), consider: - The distributed load creates a linear force along the rod between \( A \) and \( B \). - The concentrated load contributes to the vertical force at point \( C \). - Balance of moments and forces needs to be calculated to solve for shear force, normal force, and bending moment at \( C \).
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