**Educational Exercise: Truss Analysis using the Method of Sections****Q. 3) Using the Method of Sections:**a) **Find the force in members GF, CD, and CF.**b) **State whether each member is in tension or compression.****Description of the Diagram:**The image presents a truss structure supported at two points: a pin support at point A and a roller support at point E. The truss is subjected to different external forces at various joints:1. **At Joint H:** There is a horizontal force of 5 kips acting to the left.2. **At Joint G:** A vertical force of 10 kips acts downward.3. **At Joint F:** A vertical force of 6 kips acts downward.4. **At Joint I:** There is a horizontal force of 3 kips acting to the left.**Dimensions:**- From A to B: 8 ft- From B to C: 8 ft- From C to D: 8 ft- From D to E: 8 ft- The vertical distance from A to I is 3 ft and from I to H is 3 ft more, totaling 6 ft.This truss is composed of several members connected at these joints, namely:- Horizontal members: AI, BI, CJ, DJ, and EK.- Vertical members: HI, GF, and CF.- Diagonal members creating triangular formations between joints.**Analysis Steps using Method of Sections:**1. **Isolate a Section to Analyze:** - Cut through members GF, CD, and CF to solve for the internal forces in these members.2. **Apply Equilibrium Equations:** - For the section to be in equilibrium: the sum of forces in both horizontal and vertical directions, and the sum of moments about any point must be zero. Use these equations to solve for unknown forces.3. **Determine Nature of Forces:** - After calculating forces, determine if they are causing members to be in tension or compression.**Hints for Calculation and Analysis:**- Take moments about points where multiple unknowns can be eliminated, simplifying calculations.- Use trigonometric relations if necessary, especially when dealing with forces at angles.**Outcome:**Upon completing these calculations, you will be able to state:- The magnitude of forces in members GF, CD, and CF.- Whether each

Given:- To find:- a Forec in members GF, CD and CFb Type of force in GF, CD and CF

Answered: ction a) Find the force in member GF,…

ction a) Find the force in member GF, CD, and CF. b) State whether each member is in tension or compression. 10 Kips 6 ft +3 Kips 3 ft 5 Kips. A H B G C 6 Kips F D E

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

**Educational Exercise: Truss Analysis using the Method of Sections**

**Q. 3) Using the Method of Sections:**

a) **Find the force in members GF, CD, and CF.**
b) **State whether each member is in tension or compression.**

**Description of the Diagram:**

The image presents a truss structure supported at two points: a pin support at point A and a roller support at point E. The truss is subjected to different external forces at various joints:

1. **At Joint H:** There is a horizontal force of 5 kips acting to the left.
2. **At Joint G:** A vertical force of 10 kips acts downward.
3. **At Joint F:** A vertical force of 6 kips acts downward.
4. **At Joint I:** There is a horizontal force of 3 kips acting to the left.

**Dimensions:**
- From A to B: 8 ft
- From B to C: 8 ft
- From C to D: 8 ft
- From D to E: 8 ft
- The vertical distance from A to I is 3 ft and from I to H is 3 ft more, totaling 6 ft.

This truss is composed of several members connected at these joints, namely:

- Horizontal members: AI, BI, CJ, DJ, and EK.
- Vertical members: HI, GF, and CF.
- Diagonal members creating triangular formations between joints.

**Analysis Steps using Method of Sections:**

1. **Isolate a Section to Analyze:**
- Cut through members GF, CD, and CF to solve for the internal forces in these members.

2. **Apply Equilibrium Equations:**
- For the section to be in equilibrium: the sum of forces in both horizontal and vertical directions, and the sum of moments about any point must be zero. Use these equations to solve for unknown forces.

3. **Determine Nature of Forces:**
- After calculating forces, determine if they are causing members to be in tension or compression.

**Hints for Calculation and Analysis:**

- Take moments about points where multiple unknowns can be eliminated, simplifying calculations.
- Use trigonometric relations if necessary, especially when dealing with forces at angles.

**Outcome:**
Upon completing these calculations, you will be able to state:
- The magnitude of forces in members GF, CD, and CF.
- Whether each

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