### Drawing the Free Body Diagram for a Uniform BeamWhen analyzing structures, it's essential to break down complex forces and moments into simpler, manageable components. This process often involves creating a Free Body Diagram (FBD). Below, we will illustrate and describe the necessary steps to draw the Free Body Diagram for the given beam structure.#### Diagram Description:The structure illustrated is a simply supported beam with two supports labeled \( A \) and \( B \). The beam is uniformly loaded with three point loads. Here are the dimensions and forces described in detail:**Beam and Support Layout:**- The total length of the beam (\( L \)) is 20 feet (\( L = 20' \, 0" \)).- Support \( A \) is a pin support located at the left end of the beam.- Support \( B \) is a roller support placed at the right end of the beam.**Applied Loads:** 1. **First Load:** - Magnitude: \( 5 \, \text{kips} \) - Position: 3 feet from support \( A \) (\( 3' \, 0" \)).2. **Second Load:** - Magnitude: \( 14 \, \text{kips} \) - Position: 10 feet from support \( A \) (\( 3' \, 0" + 7' \, 0" = 10' \, 0" \)).3. **Third Load:** - Magnitude: \( 6 \, \text{kips} \) - Position: 16 feet from support \( A \) (\( 3' \, 0" + 7' \, 0" + 6' \, 0" = 16' \, 0" \)).Let's break down the distances for clarity: - The first load is placed 3 feet from the left end at \( A \).- From the first load, there is a 7-foot gap before the second load.- The second load is placed 6 feet from the initial 3 + 7 = 10 feet mark.- Finally, the third load is positioned 4 feet from the second load, indicating it is 20 feet from the left support \( A \).### Points to Consider:- **Supports:** - **Pin Support (\

Answered: Draw the Free Body Diagram for the…

Engineering

Civil Engineering

Draw the Free Body Diagram for the structure below. 5 kips 3' – 0". 7′ – 0" 14 kips 6′ – 0" L = 20'-0" 6 kips 4'-0" B

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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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

### Drawing the Free Body Diagram for a Uniform Beam

When analyzing structures, it's essential to break down complex forces and moments into simpler, manageable components. This process often involves creating a Free Body Diagram (FBD). Below, we will illustrate and describe the necessary steps to draw the Free Body Diagram for the given beam structure.

#### Diagram Description:

The structure illustrated is a simply supported beam with two supports labeled \( A \) and \( B \). The beam is uniformly loaded with three point loads. Here are the dimensions and forces described in detail:

**Beam and Support Layout:**

- The total length of the beam (\( L \)) is 20 feet (\( L = 20' \, 0" \)).
- Support \( A \) is a pin support located at the left end of the beam.
- Support \( B \) is a roller support placed at the right end of the beam.

**Applied Loads:**

1. **First Load:**
- Magnitude: \( 5 \, \text{kips} \)
- Position: 3 feet from support \( A \) (\( 3' \, 0" \)).

2. **Second Load:**
- Magnitude: \( 14 \, \text{kips} \)
- Position: 10 feet from support \( A \) (\( 3' \, 0" + 7' \, 0" = 10' \, 0" \)).

3. **Third Load:**
- Magnitude: \( 6 \, \text{kips} \)
- Position: 16 feet from support \( A \) (\( 3' \, 0" + 7' \, 0" + 6' \, 0" = 16' \, 0" \)).

Let's break down the distances for clarity:

- The first load is placed 3 feet from the left end at \( A \).
- From the first load, there is a 7-foot gap before the second load.
- The second load is placed 6 feet from the initial 3 + 7 = 10 feet mark.
- Finally, the third load is positioned 4 feet from the second load, indicating it is 20 feet from the left support \( A \).

### Points to Consider:

- **Supports:**
- **Pin Support (\

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