can you please explain how to get the small triangle on the free body diagram ? ### Truss Diagram Analysis#### Upper Diagram (Truss Structure):- **Truss Structure:** - The truss is composed of joints A, B, C, D, and E, connected by members forming a bridge. - The bases at A and E are on the ground, supporting the truss structure.- **Dimensions:** - Horizontal span is divided into four equal parts of 1.5 meters each, totaling 6 meters in length. - Vertical height is 2 meters from the base to the top joint (C).- **Loads (P1 and P2):** - Downward forces indicated at points G and F, aligned directly with members BC and CD.#### Lower Illustrations (Free Body Diagrams):1. **Simplified Truss Diagram:** - Reiterates the truss structure with key load points marked. - Forces at supports A and E include vertical components (Ay and Ey) and horizontal component (Ax).2. **Load Forces:** - **At A:** - Horizontal force Ax. - Vertical reaction Ay counterbalancing the loads. - **External Forces:** - A downward force of 20 kN at point G. - A downward force of 10 kN at point F.3. **Force Resolution:** - A triangle formed to show the relationship of forces at point A, illustrating the angle of force where: - \( FAB \) (force along AB) and \( FAG \) (force along AG) with a vertical force of 17.5 kN. - Angle representation \( \frac{4}{3} \) indicating a slope or force direction in the truss.This analysis of the truss structure explains how forces are distributed across its members, vital for understanding mechanical stability and design considerations in construction.

Given:- the free-body diagram how to get the small triangle on the free body diagram

Answered: A 5/4 3 17.5kN FAB FAG

Engineering

Mechanical Engineering

A 5/4 3 17.5kN FAB FAG

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

can you please explain how to get the small triangle on the free body diagram ?

### Truss Diagram Analysis

#### Upper Diagram (Truss Structure):
- **Truss Structure:**
- The truss is composed of joints A, B, C, D, and E, connected by members forming a bridge.
- The bases at A and E are on the ground, supporting the truss structure.
- **Dimensions:**
- Horizontal span is divided into four equal parts of 1.5 meters each, totaling 6 meters in length.
- Vertical height is 2 meters from the base to the top joint (C).
- **Loads (P1 and P2):**
- Downward forces indicated at points G and F, aligned directly with members BC and CD.

#### Lower Illustrations (Free Body Diagrams):

1. **Simplified Truss Diagram:**
- Reiterates the truss structure with key load points marked.
- Forces at supports A and E include vertical components (Ay and Ey) and horizontal component (Ax).

2. **Load Forces:**
- **At A:**
- Horizontal force Ax.
- Vertical reaction Ay counterbalancing the loads.
- **External Forces:**
- A downward force of 20 kN at point G.
- A downward force of 10 kN at point F.

3. **Force Resolution:**
- A triangle formed to show the relationship of forces at point A, illustrating the angle of force where:
- \( FAB \) (force along AB) and \( FAG \) (force along AG) with a vertical force of 17.5 kN.
- Angle representation \( \frac{4}{3} \) indicating a slope or force direction in the truss.

This analysis of the truss structure explains how forces are distributed across its members, vital for understanding mechanical stability and design considerations in construction.

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