A hanging cable supports a load of 27,000 lbs. Assuming that the weight of the cable is negligible, what is the force in the compression member that holds the ends of the cable apart? What is the force in each segment of the cable?

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A hanging cable supports a load of 27,000 lbs. Assuming that the weight of the cable is negligible, what is the force in the compression member that holds the ends of the cable apart? What is the force in each segment of the cable?

**ABS 341 / ABS 541 • Structures I  
Basic Truss Graphic Analysis Homework**

**4)** A hanging cable supports a single load of 27,000 lbs (Fig. 5.26). Assuming that the weight of the cable is negligible, what is the force in the compression member that holds the ends of the cable apart? What is the force in each segment of the cable?

*Figure 5.26* A hanging cable structure.

**Description of Diagram:**

The diagram illustrates a truss structure with a cable supporting a load of 27,000 lbs. The cable is arranged in a triangular shape with two segments. 

- One end of the cable is attached to a fixed point on the ground with a support that includes a pulley mechanism.
- The cable then extends upwards at a 60° angle and is connected to the opposite fixed point.
- The two segments of the cable form a 90° angle below which the 27,000 lbs load hangs.
- The horizontal compression member is indicated within the structure to maintain the ends of the cable apart.

**5)** The solid lines in the figure show the truss when the compression member is level. Find the force in the cable. What happens to the forces in the cable when the compression member is raised to an angle of 30° above the horizontal? What happens when the compression member is depressed to an angle below the horizontal?

The diagram serves to facilitate the understanding of the forces involved in a basic truss analysis, particularly focusing on the angles and their impact on force distribution within the cable segments.
Transcribed Image Text:**ABS 341 / ABS 541 • Structures I Basic Truss Graphic Analysis Homework** **4)** A hanging cable supports a single load of 27,000 lbs (Fig. 5.26). Assuming that the weight of the cable is negligible, what is the force in the compression member that holds the ends of the cable apart? What is the force in each segment of the cable? *Figure 5.26* A hanging cable structure. **Description of Diagram:** The diagram illustrates a truss structure with a cable supporting a load of 27,000 lbs. The cable is arranged in a triangular shape with two segments. - One end of the cable is attached to a fixed point on the ground with a support that includes a pulley mechanism. - The cable then extends upwards at a 60° angle and is connected to the opposite fixed point. - The two segments of the cable form a 90° angle below which the 27,000 lbs load hangs. - The horizontal compression member is indicated within the structure to maintain the ends of the cable apart. **5)** The solid lines in the figure show the truss when the compression member is level. Find the force in the cable. What happens to the forces in the cable when the compression member is raised to an angle of 30° above the horizontal? What happens when the compression member is depressed to an angle below the horizontal? The diagram serves to facilitate the understanding of the forces involved in a basic truss analysis, particularly focusing on the angles and their impact on force distribution within the cable segments.
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