Determine the force in members EH and FH of the truss shown when P = 17 kN. 5 m 3 m✦3 m3 m✦3 m▷| P P P P C A B The force in EH is The force in FH is D F E KN. (Click to select) KN. (Click to select) (Click to select) G H OI

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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### Problem Description

**Objective:**
Determine the force in members \( EH \) and \( FH \) of the truss when \( P = 17 \, \text{kN} \).

**Truss Details:**
- The truss is supported vertically at points \( A \) and \( B \).
- It is comprised of horizontal and diagonal members.
- There are four equal segments along the top, each measuring 3 meters between points \( A-C \), \( C-E \), \( E-G \), and \( G-I \).
- The vertical height from \( A \) to \( B \) is 5 meters.
- A uniform load \( P = 17 \, \text{kN} \) acts downward at points \( C \), \( E \), \( G \), and \( I \).

### Analysis:

**Members Under Investigation:**
- \( EH \)
- \( FH \)

**Inputs:**
- Load \( P \) is given as \( 17 \, \text{kN} \).

**Required Outputs:**
- The magnitude of the force in members \( EH \) and \( FH \).
- Whether each member is in tension or compression.

**Interactive Components:**
- Selection options for the nature of force in members (Tension or Compression) are included.
- Fields to input the force (in kN) for members \( EH \) and \( FH \).

### Diagram Explanation

The truss diagram illustrates a series of interconnected triangles and quadrilaterals forming a structure with supports at \( A \) and \( B \). The truss is horizontally symmetrical, subject to vertical forces \( P \) at specified nodes. The task is to determine how these forces affect specific members (\( EH \) and \( FH \)), providing insights into engineering principles such as tension and compression in truss structures.
Transcribed Image Text:### Problem Description **Objective:** Determine the force in members \( EH \) and \( FH \) of the truss when \( P = 17 \, \text{kN} \). **Truss Details:** - The truss is supported vertically at points \( A \) and \( B \). - It is comprised of horizontal and diagonal members. - There are four equal segments along the top, each measuring 3 meters between points \( A-C \), \( C-E \), \( E-G \), and \( G-I \). - The vertical height from \( A \) to \( B \) is 5 meters. - A uniform load \( P = 17 \, \text{kN} \) acts downward at points \( C \), \( E \), \( G \), and \( I \). ### Analysis: **Members Under Investigation:** - \( EH \) - \( FH \) **Inputs:** - Load \( P \) is given as \( 17 \, \text{kN} \). **Required Outputs:** - The magnitude of the force in members \( EH \) and \( FH \). - Whether each member is in tension or compression. **Interactive Components:** - Selection options for the nature of force in members (Tension or Compression) are included. - Fields to input the force (in kN) for members \( EH \) and \( FH \). ### Diagram Explanation The truss diagram illustrates a series of interconnected triangles and quadrilaterals forming a structure with supports at \( A \) and \( B \). The truss is horizontally symmetrical, subject to vertical forces \( P \) at specified nodes. The task is to determine how these forces affect specific members (\( EH \) and \( FH \)), providing insights into engineering principles such as tension and compression in truss structures.
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