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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

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
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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### 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 (\
Transcribed Image Text:### 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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