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6-34. Determine the force in members DE, DF, and GF of the cantilevered truss and state if the members are in tension or compression.

6-34. Determine the force in members DE, DF, and GF of the cantilevered truss and state if the members are in tension or compression.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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with the following modifications 

  1. Change the horizontal distance between joints H & G from 4ft to 6ft
**Problem 6-34: Analysis of Cantilevered Truss** **Objective:** Determine the force in members \(DE\), \(DF\), and \(GF\) of the cantilevered truss and state if the members are in tension or compression. **Truss Diagram Details:** The diagram represents a cantilevered truss consisting of multiple members connected at joints. It spans horizontally with equal segments between joints. - **Joints**: The truss consists of joints labeled \(A, B, C, D, E, F, G, H, I\). - **Dimensions**: - Horizontal segments between joints are 4 feet each. - The vertical height from line \(DE\) and \(CE\) is 3 feet. - **External Load**: - An external force of 1500 lbs acts at joint \(A\) forming an angle with the horizontal assumed to be determined by the ratio \( \frac{4}{3} \). **Tasks:** 1. Calculate the forces in members \(DE\), \(DF\), and \(GF\). 2. Identify whether each member is in tension or compression based on the calculations. **Analysis Guidelines:** - Utilize static equilibrium equations to solve for unknown forces. - Apply the method of joints or sections as suitable. - Establish if members are in tension (being pulled or elongated) or compression (being squeezed or shortened) based on the nature of forces calculated. This problem applies principles of structural engineering and statics to understand stress in truss elements.
Transcribed Image Text:**Problem 6-34: Analysis of Cantilevered Truss** **Objective:** Determine the force in members \(DE\), \(DF\), and \(GF\) of the cantilevered truss and state if the members are in tension or compression. **Truss Diagram Details:** The diagram represents a cantilevered truss consisting of multiple members connected at joints. It spans horizontally with equal segments between joints. - **Joints**: The truss consists of joints labeled \(A, B, C, D, E, F, G, H, I\). - **Dimensions**: - Horizontal segments between joints are 4 feet each. - The vertical height from line \(DE\) and \(CE\) is 3 feet. - **External Load**: - An external force of 1500 lbs acts at joint \(A\) forming an angle with the horizontal assumed to be determined by the ratio \( \frac{4}{3} \). **Tasks:** 1. Calculate the forces in members \(DE\), \(DF\), and \(GF\). 2. Identify whether each member is in tension or compression based on the calculations. **Analysis Guidelines:** - Utilize static equilibrium equations to solve for unknown forces. - Apply the method of joints or sections as suitable. - Establish if members are in tension (being pulled or elongated) or compression (being squeezed or shortened) based on the nature of forces calculated. This problem applies principles of structural engineering and statics to understand stress in truss elements.
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