HW03-03 Determine the force in members ED, EB and AB of the truss in HW03-02 using Method of Section. 300 lb 60° 600 lb 5 ft 400 lb D 5 ft 5 ft

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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## HW03-03

**Objective:**
Determine the force in members ED, EB, and AB of the truss in HW03-02 using the Method of Sections.

**Description:**
The diagram represents a truss structure subjected to external forces. The truss consists of various members connected at joints. It is supported by a pin at point A and a roller at point C. The distances between the joints are provided to assist in calculating the internal forces within the truss members.

**Details:**
- **External Forces:**
  - A downward force of 300 lb is applied at point F.
  - A downward force of 600 lb is applied at point E.
  - A downward force of 400 lb is applied at point D.

- **Geometry:**
  - Points A, B, and C are sequentially spaced at intervals of 5 feet along the base.
  - Point F is vertically aligned with point A.
  - Point D is vertically aligned with point C.
  - Triangular sections are formed at the ends: 
    - Triangle FAB at the left end, with angle FAB being 60°.
    - Triangle BCD at the right end, forming a symmetric structure.

**Procedure:**
To solve for the forces in members ED, EB, and AB, employ the Method of Sections:
1. Draw a section through the truss that intersects members ED, EB, and AB.
2. Apply equilibrium equations to the sectioned part to solve for the unknown forces (ΣFx = 0, ΣFy = 0, ΣM = 0).
3. Consider symmetry and geometry in simplifying calculations as necessary.

This exercise will enhance understanding of statics principles and the application of equilibrium to solve for internal member forces in truss structures.
Transcribed Image Text:## HW03-03 **Objective:** Determine the force in members ED, EB, and AB of the truss in HW03-02 using the Method of Sections. **Description:** The diagram represents a truss structure subjected to external forces. The truss consists of various members connected at joints. It is supported by a pin at point A and a roller at point C. The distances between the joints are provided to assist in calculating the internal forces within the truss members. **Details:** - **External Forces:** - A downward force of 300 lb is applied at point F. - A downward force of 600 lb is applied at point E. - A downward force of 400 lb is applied at point D. - **Geometry:** - Points A, B, and C are sequentially spaced at intervals of 5 feet along the base. - Point F is vertically aligned with point A. - Point D is vertically aligned with point C. - Triangular sections are formed at the ends: - Triangle FAB at the left end, with angle FAB being 60°. - Triangle BCD at the right end, forming a symmetric structure. **Procedure:** To solve for the forces in members ED, EB, and AB, employ the Method of Sections: 1. Draw a section through the truss that intersects members ED, EB, and AB. 2. Apply equilibrium equations to the sectioned part to solve for the unknown forces (ΣFx = 0, ΣFy = 0, ΣM = 0). 3. Consider symmetry and geometry in simplifying calculations as necessary. This exercise will enhance understanding of statics principles and the application of equilibrium to solve for internal member forces in truss structures.
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