FIND BC,FC,FE ### Structural Analysis Instruction#### Problem Statement:Determine the force in members \( BC \), \( FC \), and \( FE \) and state if the members are in tension or compression. (Figure 1) Suppose that \( P_1 = 3250 \, \text{lb} \) and \( P_2 = 1300 \, \text{lb} \).**Hint**: The force acting at the pin \( G \) is directed along member \( GD \). Why?#### Diagram Explanation:- **Figure Description**: - This is a depiction of a truss structure anchored at point \( A \) with external loads at points \( F \) and \( E \). - The truss consists of several members connected at joints \( A, B, C, D, E, F, \) and \( G \). - The distance between each joint horizontally is \( 10 \, \text{ft} \), and the vertical height of the structure at joint \( A \) is \( 10 \, \text{ft} \).- **Loads**: - **\( P_1 \)** is an external downward force of \( 3250 \, \text{lb} \) acting at point \( F \). - **\( P_2 \)** is an external downward force of \( 1300 \, \text{lb} \) acting at point \( E \) and point \( D \).- **Members**: - The structure includes several members labeled \( AB, BC, CD, DE, EF, FA, FC, FE, \) and \( GD \). - The member \( GD \) forms a connection at joint \( G \), with its force direction based on the geometry of the truss. The hint suggests analyzing forces at \( G \) along member \( GD \).- **Geometry**: - The angle formed at the joint \( G \) is given by its position in the truss structure, providing a ratio of \( 3 \) (rise) to \( 4 \) (run), forming a 3-4-5 triangle with the hypotenuse along \( GD \).#### Analysis Requirements:- Calculate the forces in members \( BC, FC, \) and \( FE \).- Determine whether each member is in tension or compression. ### Detailed Steps:1. **Joint Analysis

Determine the force in members BC, FC, and FE and state if the members are in tension or compression. (Figure 1) Suppose that P₁ = 3250 lb and P₂ = 1300 lb. Hint: The force acting at the pin G is directed along member GD. Why?

Determine the force in members BC, FC, and FE and state if the members are in tension or compression. (Figure 1) Suppose that P₁ = 3250 lb and P₂ = 1300 lb. Hint: The force acting at the pin G is directed along member GD. Why?

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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Question

FIND BC,FC,FE

### Structural Analysis Instruction

#### Problem Statement:
Determine the force in members \( BC \), \( FC \), and \( FE \) and state if the members are in tension or compression. (Figure 1) Suppose that \( P_1 = 3250 \, \text{lb} \) and \( P_2 = 1300 \, \text{lb} \).
**Hint**: The force acting at the pin \( G \) is directed along member \( GD \). Why?

#### Diagram Explanation:
- **Figure Description**:
- This is a depiction of a truss structure anchored at point \( A \) with external loads at points \( F \) and \( E \).
- The truss consists of several members connected at joints \( A, B, C, D, E, F, \) and \( G \).
- The distance between each joint horizontally is \( 10 \, \text{ft} \), and the vertical height of the structure at joint \( A \) is \( 10 \, \text{ft} \).

- **Loads**:
- **\( P_1 \)** is an external downward force of \( 3250 \, \text{lb} \) acting at point \( F \).
- **\( P_2 \)** is an external downward force of \( 1300 \, \text{lb} \) acting at point \( E \) and point \( D \).

- **Members**:
- The structure includes several members labeled \( AB, BC, CD, DE, EF, FA, FC, FE, \) and \( GD \).
- The member \( GD \) forms a connection at joint \( G \), with its force direction based on the geometry of the truss. The hint suggests analyzing forces at \( G \) along member \( GD \).

- **Geometry**:
- The angle formed at the joint \( G \) is given by its position in the truss structure, providing a ratio of \( 3 \) (rise) to \( 4 \) (run), forming a 3-4-5 triangle with the hypotenuse along \( GD \).

#### Analysis Requirements:
- Calculate the forces in members \( BC, FC, \) and \( FE \).
- Determine whether each member is in tension or compression.

### Detailed Steps:
1. **Joint Analysis

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