21. Determine the forces in the members of the planar truss shown. 20 KN 20 KN 20 kN う う B Four pane's at 5 Ft each li

Elements Of Electromagnetics
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Sketch a free-body diagram and determine the forces in the members of the planar truss shown? 

### Problem Statement

**21.** Determine the forces in the members of the planar truss shown.

### Diagram Description

The diagram depicts a planar truss with various segments labeled from A to B. The truss consists of four triangular sections arranged linearly along a horizontal base. 

- Three external downward forces, each measuring 20 kN, act on points C, H, and D on the truss, symmetrical across its structure.

- The truss is composed of triangles with dimensions (annotated inside the triangles) forming angles of 3 and 4, indicating sides of right-angled triangles, presumably forming a 3-4-5 triangle with one angle being 90 degrees as shown on points with a triangular symbol. 

- The bottom horizontal span of the truss is divided into four equal panels, marked as E, F, and G, each measuring 5 feet between pivotal connections.

- End supports are depicted at points A and B. Point A appears to be a pin support, allowing rotational movement, while point B is a roller support, allowing horizontal movement.

### Additional Notes

- This truss is a statically determinate structure, commonly used to demonstrate principles of static equilibrium.

- To solve for the forces in each truss member, methods such as the method of joints or the method of sections can be applied, ensuring equilibrium in both the vertical and horizontal directions for each joint or section analyzed.
Transcribed Image Text:### Problem Statement **21.** Determine the forces in the members of the planar truss shown. ### Diagram Description The diagram depicts a planar truss with various segments labeled from A to B. The truss consists of four triangular sections arranged linearly along a horizontal base. - Three external downward forces, each measuring 20 kN, act on points C, H, and D on the truss, symmetrical across its structure. - The truss is composed of triangles with dimensions (annotated inside the triangles) forming angles of 3 and 4, indicating sides of right-angled triangles, presumably forming a 3-4-5 triangle with one angle being 90 degrees as shown on points with a triangular symbol. - The bottom horizontal span of the truss is divided into four equal panels, marked as E, F, and G, each measuring 5 feet between pivotal connections. - End supports are depicted at points A and B. Point A appears to be a pin support, allowing rotational movement, while point B is a roller support, allowing horizontal movement. ### Additional Notes - This truss is a statically determinate structure, commonly used to demonstrate principles of static equilibrium. - To solve for the forces in each truss member, methods such as the method of joints or the method of sections can be applied, ensuring equilibrium in both the vertical and horizontal directions for each joint or section analyzed.
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