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30 kN 1.5 m 1 20 KN B C E -2m-2m-2 m- 2m Determine the force in members DF and DE of the truss shown.

30 kN 1.5 m 1 20 KN B C E -2m-2m-2 m- 2m Determine the force in members DF and DE of the truss shown.

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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### Truss Analysis Problem **Objective:** Determine the force in members \( DF \) and \( DE \) of the truss shown in the diagram. **Diagram Description:** The truss is composed of several interconnected members arranged in a triangular structure. The truss is supported at point \( C \) (pin support) and point \( G \) (roller support). - The truss spans horizontally with segments marked as \( AB \), \( BC \), \( CD \), \( DE \), \( EF \), and \( FG \). - Vertical distances and horizontal spans are specified as follows: - Height from the base to the top points \( A \) and \( F \) is 1.5 meters. - The horizontal distance between each successive point from \( A \) to \( G \) is 2 meters. **Load Details:** Two vertical forces are applied: - A force of 30 kN is applied downward at point \( A \). - A force of 20 kN is applied downward at point \( D \). **Objective:** Using methods such as the method of joints or method of sections, calculate the forces in the specified members \( DF \) and \( DE \), which are part of the truss structure. **Analysis Approach:** To solve this problem, apply static equilibrium equations, including the sum of forces in the horizontal and vertical directions as well as the sum of moments around a point. This will allow for determining the unknown forces in the truss members \( DF \) and \( DE \).
Transcribed Image Text:### Truss Analysis Problem **Objective:** Determine the force in members \( DF \) and \( DE \) of the truss shown in the diagram. **Diagram Description:** The truss is composed of several interconnected members arranged in a triangular structure. The truss is supported at point \( C \) (pin support) and point \( G \) (roller support). - The truss spans horizontally with segments marked as \( AB \), \( BC \), \( CD \), \( DE \), \( EF \), and \( FG \). - Vertical distances and horizontal spans are specified as follows: - Height from the base to the top points \( A \) and \( F \) is 1.5 meters. - The horizontal distance between each successive point from \( A \) to \( G \) is 2 meters. **Load Details:** Two vertical forces are applied: - A force of 30 kN is applied downward at point \( A \). - A force of 20 kN is applied downward at point \( D \). **Objective:** Using methods such as the method of joints or method of sections, calculate the forces in the specified members \( DF \) and \( DE \), which are part of the truss structure. **Analysis Approach:** To solve this problem, apply static equilibrium equations, including the sum of forces in the horizontal and vertical directions as well as the sum of moments around a point. This will allow for determining the unknown forces in the truss members \( DF \) and \( DE \).
**Truss Analysis Problem** **Diagram Description:** The image depicts a truss structure with several joints and members. Here's a detailed description of the structure: - The truss is supported at point A on the left and at point E on the bottom right, with a load of 4800 lb acting downward at point D. - The span between points A and B is 7.5 ft. - The height between the horizontal levels through A-B and C-D is 9 ft. - There is an internal arrangement creating two triangles horizontally and vertically overlapping at joint C. - Members connect in the following pattern: - Members AB and DE are horizontal. - Members AC, AD, BC, CD, and CE form the bracing. **Problem Statement:** "Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression." The task involves calculating the internal forces in each truss member using the method of joints, a static equilibrium technique in engineering, and noting if each member experiences tension or compression based on those calculations.
Transcribed Image Text:**Truss Analysis Problem** **Diagram Description:** The image depicts a truss structure with several joints and members. Here's a detailed description of the structure: - The truss is supported at point A on the left and at point E on the bottom right, with a load of 4800 lb acting downward at point D. - The span between points A and B is 7.5 ft. - The height between the horizontal levels through A-B and C-D is 9 ft. - There is an internal arrangement creating two triangles horizontally and vertically overlapping at joint C. - Members connect in the following pattern: - Members AB and DE are horizontal. - Members AC, AD, BC, CD, and CE form the bracing. **Problem Statement:** "Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression." The task involves calculating the internal forces in each truss member using the method of joints, a static equilibrium technique in engineering, and noting if each member experiences tension or compression based on those calculations.
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