kmarks Develop Window Help ara University Mail 8 camino.instructure.com in (22) Erik Keifer | Linkedin. 2 m 21 ++ 5 kN 2 ft 1m- 2. Problem No. 2: The horizontal platform ABCD weighs 60 lb and supports a 240-lb load at its center. The platform is normally held in position by hinges at A and B and by braces CE and DE. For this problem, assume that the brace DE is removed. B B a) Draw the free body diagram for the platform ABDC. How many unknowns are there in total? How many equations of equilibrium do you have? Is this problem statically determinate? Is the platform stable? b) Assume that the hinge at A does not exert any axial thrust (There is no reaction force in z direction at the hinge A). Determine the reactions at the hinges and the force exerted by the brace CE. 32 3 ft 300 lb (C. C Practice Assignment 12 D Tu

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Can you solve number two 

### Problem No. 2

The horizontal platform ABCD weighs 60 lb and supports a 240-lb load at its center. The platform is normally held in position by hinges at A and B and by braces CE and DE. For this problem, assume that the brace DE is removed.

**a) Draw the free body diagram for the platform ABCD. How many unknowns are there in total? How many equations of equilibrium do you have? Is this problem statically determinate? Is the platform stable?**

**b) Assume that the hinge at A does not exert any axial thrust (There is no reaction force in z direction at the hinge A). Determine the reactions at the hinges and the force exerted by the brace CE.**

### Diagram Explanation

This problem includes a diagram with the following details:

- A horizontal platform ABCD.
- A 240-lb load is applied vertically downward at point C.
- The platform dimensions:
  - Distance between A and D: 4 ft.
  - Distance between A and C: 4 ft.
  - Distance between A and B: 2 ft.
  - Distance between B and D: 3 ft.
- Braces at CE with DE removed.

### Additional Notes

- The diagram also shows a coordinate system with x, y, and z axes for spatial orientation.
- The forces and dimensions are labeled clearly to aid in solving equilibrium problems.
Transcribed Image Text:### Problem No. 2 The horizontal platform ABCD weighs 60 lb and supports a 240-lb load at its center. The platform is normally held in position by hinges at A and B and by braces CE and DE. For this problem, assume that the brace DE is removed. **a) Draw the free body diagram for the platform ABCD. How many unknowns are there in total? How many equations of equilibrium do you have? Is this problem statically determinate? Is the platform stable?** **b) Assume that the hinge at A does not exert any axial thrust (There is no reaction force in z direction at the hinge A). Determine the reactions at the hinges and the force exerted by the brace CE.** ### Diagram Explanation This problem includes a diagram with the following details: - A horizontal platform ABCD. - A 240-lb load is applied vertically downward at point C. - The platform dimensions: - Distance between A and D: 4 ft. - Distance between A and C: 4 ft. - Distance between A and B: 2 ft. - Distance between B and D: 3 ft. - Braces at CE with DE removed. ### Additional Notes - The diagram also shows a coordinate system with x, y, and z axes for spatial orientation. - The forces and dimensions are labeled clearly to aid in solving equilibrium problems.
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