Determine the force in members DC, HC, and HI of the truss and state if the members are in tension or compression. 40 kN m- 50 kN D C 1.5 m 30 -30 kN 1.5 m 40 kN 1.5 m

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem 1**

Determine the force in members \( DC \), \( HC \), and \( HI \) of the truss and state if the members are in tension or compression.

**Diagram Explanation:**

The diagram depicts a truss structure supported at points \( F \) and \( A \). The truss is loaded at several points:

1. A horizontal member \( CD \) is connected to vertical and diagonal members \( DC \), \( HC \), and \( HI \).
2. There are external forces acting on the truss:
   - A horizontal force of 40 kN at \( F \) towards \( E \).
   - A vertical force of 40 kN acting downward at point \( E \).
   - A vertical force of 50 kN acting downward at point \( D \).
   - A vertical force of 30 kN acting downward at point \( C \).
   - A vertical force of 40 kN acting downward at point \( B \).

3. The geometry of the truss is as follows:
   - \( EF \) is 2 meters long.
   - \( FG \) is 2 meters long.
   - Each vertical section from \( D \), \( C \), and \( B \) to their respective supports or joints is 1.5 meters.
   - The segments from \( G \) to \( I \) and \( B \) to \( A \) are also 1.5 meters long.

The task requires calculating the internal forces in members \( DC \), \( HC \), and \( HI \) and determining if these members are in a state of tension or compression.
Transcribed Image Text:**Problem 1** Determine the force in members \( DC \), \( HC \), and \( HI \) of the truss and state if the members are in tension or compression. **Diagram Explanation:** The diagram depicts a truss structure supported at points \( F \) and \( A \). The truss is loaded at several points: 1. A horizontal member \( CD \) is connected to vertical and diagonal members \( DC \), \( HC \), and \( HI \). 2. There are external forces acting on the truss: - A horizontal force of 40 kN at \( F \) towards \( E \). - A vertical force of 40 kN acting downward at point \( E \). - A vertical force of 50 kN acting downward at point \( D \). - A vertical force of 30 kN acting downward at point \( C \). - A vertical force of 40 kN acting downward at point \( B \). 3. The geometry of the truss is as follows: - \( EF \) is 2 meters long. - \( FG \) is 2 meters long. - Each vertical section from \( D \), \( C \), and \( B \) to their respective supports or joints is 1.5 meters. - The segments from \( G \) to \( I \) and \( B \) to \( A \) are also 1.5 meters long. The task requires calculating the internal forces in members \( DC \), \( HC \), and \( HI \) and determining if these members are in a state of tension or compression.
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