F, F, -2 m -2 m -2 m E 1.5 m Fg F G H 1.5 m B FA 1.5 m A

Structural Analysis
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Chapter2: Loads On Structures
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What is the force in member ED, EH, and EG if
F1 = 29 lbs, F2 = 35 lbs, F3 = 23 lbs. F4 = 63 lbs.
State whether each member is in Tension (T) or
Compression (C).

### Structural Truss Diagram with Applied Forces

#### Overview
This diagram illustrates a structural truss with several joints and applied forces, labeled as \( F_1, F_2, F_3, \) and \( F_4 \). The truss consists of a series of interconnected beams, forming a supportive framework often used in construction and engineering.

#### Description and Measurements
- **Joints and Points:**
  - The truss connects at various points labeled as \( A, B, C, D, E, F, G, H, \) and \( I \).
  - Joints \( F \) and \( A \) are grounded with supports.

- **Force Applications:**
  - \( F_1 \) and \( F_2 \) are vertical downward forces applied at points \( E \) and \( D \), respectively.
  - \( F_3 \) and \( F_4 \) are horizontal forces directed to the left, applied at points \( C \) and \( B \).

- **Beam Lengths:**
  - The horizontal distances between points \( E \) to \( D \), and \( D \) to \( C \) are each 2 meters.
  - The vertical sections from \( C \) to \( B \), and \( B \) to \( A \) are each 1.5 meters.

#### Structural Composition
- The truss is designed in a combination of triangular and rectangular shapes, maximizing its ability to bear loads efficiently.
- A triangular shape is formed between joints \( E, D, \) and \( G \), as well as between \( D, C, \) and \( H \).

#### Practical Application
Truss designs like this are common in bridges and roof supports, where they help distribute loads evenly across the structure, minimizing stress on any single point.
Transcribed Image Text:### Structural Truss Diagram with Applied Forces #### Overview This diagram illustrates a structural truss with several joints and applied forces, labeled as \( F_1, F_2, F_3, \) and \( F_4 \). The truss consists of a series of interconnected beams, forming a supportive framework often used in construction and engineering. #### Description and Measurements - **Joints and Points:** - The truss connects at various points labeled as \( A, B, C, D, E, F, G, H, \) and \( I \). - Joints \( F \) and \( A \) are grounded with supports. - **Force Applications:** - \( F_1 \) and \( F_2 \) are vertical downward forces applied at points \( E \) and \( D \), respectively. - \( F_3 \) and \( F_4 \) are horizontal forces directed to the left, applied at points \( C \) and \( B \). - **Beam Lengths:** - The horizontal distances between points \( E \) to \( D \), and \( D \) to \( C \) are each 2 meters. - The vertical sections from \( C \) to \( B \), and \( B \) to \( A \) are each 1.5 meters. #### Structural Composition - The truss is designed in a combination of triangular and rectangular shapes, maximizing its ability to bear loads efficiently. - A triangular shape is formed between joints \( E, D, \) and \( G \), as well as between \( D, C, \) and \( H \). #### Practical Application Truss designs like this are common in bridges and roof supports, where they help distribute loads evenly across the structure, minimizing stress on any single point.
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