Practice assignment No. 12 1. Problem No. 1: A 3-m pole is supported by a ball-and-socket joint at A and by the cables CD and CE. a) Draw the free body diagram of the pole. How many unknowns are there? How many equations of equilibrium do you have? Is the problem statically determinate? b) Is the pole stable under current loading? Can you provide an example of a loading that could make the pole unstable? c) Under current loading, determine the tension in cables CD and CE and the reaction at A. 1.5 m 1.2 m D 2 m E 5 kN B Im
Practice assignment No. 12 1. Problem No. 1: A 3-m pole is supported by a ball-and-socket joint at A and by the cables CD and CE. a) Draw the free body diagram of the pole. How many unknowns are there? How many equations of equilibrium do you have? Is the problem statically determinate? b) Is the pole stable under current loading? Can you provide an example of a loading that could make the pole unstable? c) Under current loading, determine the tension in cables CD and CE and the reaction at A. 1.5 m 1.2 m D 2 m E 5 kN B Im
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Practice Assignment No. 12**
1. **Problem No. 1**: A 3-meter pole is supported by a ball-and-socket joint at point A and by the cables CD and CE.
a) **Draw the free body diagram of the pole.** How many unknowns are there? How many equations of equilibrium do you have? Is the problem statically determinate?
b) **Is the pole stable under current loading?** Can you provide an example of a loading that could make the pole unstable?
c) **Under current loading, determine the tension in cables CD and CE and the reaction at A.**
**Diagram Explanation**: The diagram depicts a 3D coordinate system with the pole and cables. The pole is shown at point A, with cables CD and CE extending to points C and D on the x-y plane. The lengths marked are 1.2 m vertically from D to E, 1.5 m horizontally from A to D, and 2 m from C to D. A force of 5 kN is applied horizontally at point B along the x-axis.
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.
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This assignment involves creating free body diagrams, assessing stability, calculating tensions in cables, and understanding the effects of removing structural components.
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