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H 2 m 3'm В C D 4 m --4 m- - 4 m- 4 m 4 kN 5 kN F

H 2 m 3'm В C D 4 m --4 m- - 4 m- 4 m 4 kN 5 kN F

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Consider the truss shown in (Figure 1). Suppose that F = 9 kN .

Determine the force in member BC of the truss and state if the member is in tension or compression.

Determine the force in member CH of the truss and state if the member is in tension or compression.

Determine the force in member GH of the truss and state if the member is in tension or compression.

Determine the force in member CG of the truss and state if the member is in tension or compression.

The image depicts a structural frame, which is a truss system. The truss is supported at two points, A and E. It consists of various members connecting the joints labeled A, B, C, D, E, F, G, and H. Key features of the diagram: 1. **Members and Joints**: - The truss spans 16 meters, divided into four segments of 4 meters each (A-B, B-C, C-D, D-E). - Vertical and diagonal members connect the horizontal members at points G (the apex), H, F, and at midpoint C. 2. **Forces**: - Two vertical forces act downward on the truss; 4 kN at point B and 5 kN at point D. 3. **Measurements**: - The height from the base at E to G measures 5 meters, with the lower section, E to the intersection at F, being 3 meters, and the upper section F to G, being 2 meters. This structural diagram is a typical example used to analyze forces within a truss, examining how loads affect different members. The analysis of such trusses can utilize methods like the method of joints or the method of sections to find forces in individual members.
Transcribed Image Text:The image depicts a structural frame, which is a truss system. The truss is supported at two points, A and E. It consists of various members connecting the joints labeled A, B, C, D, E, F, G, and H. Key features of the diagram: 1. **Members and Joints**: - The truss spans 16 meters, divided into four segments of 4 meters each (A-B, B-C, C-D, D-E). - Vertical and diagonal members connect the horizontal members at points G (the apex), H, F, and at midpoint C. 2. **Forces**: - Two vertical forces act downward on the truss; 4 kN at point B and 5 kN at point D. 3. **Measurements**: - The height from the base at E to G measures 5 meters, with the lower section, E to the intersection at F, being 3 meters, and the upper section F to G, being 2 meters. This structural diagram is a typical example used to analyze forces within a truss, examining how loads affect different members. The analysis of such trusses can utilize methods like the method of joints or the method of sections to find forces in individual members.
Expert Solution
Step 1 Calculate Moment at A

∑MA=04×4+8×9+12×5-Ey×16=016+72+60=16EyEy=14816=9.25  KN

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