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6–30. Draw the shear and moment diagrams for the beam 2 kip 200 lb/ft В A 6 ft 9 ft 9 ft Prob. 6–30

6–30. Draw the shear and moment diagrams for the beam 2 kip 200 lb/ft В A 6 ft 9 ft 9 ft Prob. 6–30

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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Please! Use only graphical method.

### Problem 6-30: Drawing Shear and Moment Diagrams for a Beam #### Problem Statement **6-30.** Draw the shear and moment diagrams for the beam. #### Beam Description The beam has the following characteristics: - A point load of 2 kip is applied at the left end of the beam. - A distributed load of 200 lb/ft is acting on the right 9 feet of the beam. - The beam is simply supported with support A being a roller support placed 6 feet from the left end and support B being a pinned support located at the right end of the beam at a distance of 18 feet from the left end. #### Key Points - **Point Load:** 2 kip downward at the left end of the beam. - **Distributed Load:** 200 lb/ft over the right 9 feet of the beam. - **Support A:** Roller support located 6 feet from the left end. - **Support B:** Pinned support located 18 feet from the left end (9 feet from support A). #### Beam Diagram The diagram of the beam is crucial for understanding the placement of loads and supports: ``` 2 kip ↓ ───────────◼─────────────────────── A | B |<--6 ft-->|<------9 ft------>|<----9 ft---->| |<---------18 ft--------->| ``` #### Steps to Draw Shear and Moment Diagrams 1. **Calculating Reaction Forces:** - Use equilibrium equations (∑Fx=0, ∑Fy=0, ∑M=0) to solve for the reaction forces at supports A and B. 2. **Shear Force Diagram (V):** - Start from the left end, moving towards the right, and plot changes in shear force whenever there is an external load or reaction force. - Calculate the shear force at key points (supports and changes in loading). 3. **Moment Diagram (M):** - Use the shear force diagram to determine the moment about various points. - Integrate the shear force values to get bending moments, starting from zero moments at free or simply supported ends of the beam. #### Visualization and Interpretation Graphically represent the shear force diagram and bending moment diagram to visually understand the effects of loads and supports on beam deformation and internal forces. --- By comprehensively following these steps and understanding the
Transcribed Image Text:### Problem 6-30: Drawing Shear and Moment Diagrams for a Beam #### Problem Statement **6-30.** Draw the shear and moment diagrams for the beam. #### Beam Description The beam has the following characteristics: - A point load of 2 kip is applied at the left end of the beam. - A distributed load of 200 lb/ft is acting on the right 9 feet of the beam. - The beam is simply supported with support A being a roller support placed 6 feet from the left end and support B being a pinned support located at the right end of the beam at a distance of 18 feet from the left end. #### Key Points - **Point Load:** 2 kip downward at the left end of the beam. - **Distributed Load:** 200 lb/ft over the right 9 feet of the beam. - **Support A:** Roller support located 6 feet from the left end. - **Support B:** Pinned support located 18 feet from the left end (9 feet from support A). #### Beam Diagram The diagram of the beam is crucial for understanding the placement of loads and supports: ``` 2 kip ↓ ───────────◼─────────────────────── A | B |<--6 ft-->|<------9 ft------>|<----9 ft---->| |<---------18 ft--------->| ``` #### Steps to Draw Shear and Moment Diagrams 1. **Calculating Reaction Forces:** - Use equilibrium equations (∑Fx=0, ∑Fy=0, ∑M=0) to solve for the reaction forces at supports A and B. 2. **Shear Force Diagram (V):** - Start from the left end, moving towards the right, and plot changes in shear force whenever there is an external load or reaction force. - Calculate the shear force at key points (supports and changes in loading). 3. **Moment Diagram (M):** - Use the shear force diagram to determine the moment about various points. - Integrate the shear force values to get bending moments, starting from zero moments at free or simply supported ends of the beam. #### Visualization and Interpretation Graphically represent the shear force diagram and bending moment diagram to visually understand the effects of loads and supports on beam deformation and internal forces. --- By comprehensively following these steps and understanding the
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