For the beam and loading shown, a) Draw the shear and bending moment diagrams, b) Determine the magnitude and location of the maximum absolute value of the bending moment.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Educational Content on Beam Analysis**

**Task for the Beam and Loading Shown:**

a) Draw the shear and bending moment diagrams.

b) Determine the **magnitude** and **location** of the maximum absolute value of the bending moment.

**Explanation of the Diagram:**

The diagram depicts a simply supported beam with a point load and a uniformly distributed load:
- The left end of the beam is point A, supported with an upward force of 1300 lb.
- A uniformly distributed load of 325 lb/ft acts along a 12 ft segment of the beam, starting from point A to point B.
- The beam extends another 3 ft from point B to point C, which is supported.

**Steps for Analysis:**

1. **Draw the Shear Force Diagram:**
   - Start from the left end (A) and add the reaction force.
   - Subtract the area of the distributed load as you move along the beam.
   - The shear force typically changes linearly with distributed loads.

2. **Draw the Bending Moment Diagram:**
   - Integrate the shear force diagram.
   - Plot the bending moment starting with zero at supports (A and C in this case).
   - Look for points where the shear force crosses zero; these often indicate maximum or minimum bending moments.

3. **Calculate the Maximum Bending Moment:**
   - Use equilibrium equations for precise calculations.
   - Find moments around different sections to determine the absolute values.

By systematically analyzing the forces and drawing the diagrams, you will determine critical points for the shear force and bending moment along the beam, aiding in structural safety and efficiency assessments.
Transcribed Image Text:**Educational Content on Beam Analysis** **Task for the Beam and Loading Shown:** a) Draw the shear and bending moment diagrams. b) Determine the **magnitude** and **location** of the maximum absolute value of the bending moment. **Explanation of the Diagram:** The diagram depicts a simply supported beam with a point load and a uniformly distributed load: - The left end of the beam is point A, supported with an upward force of 1300 lb. - A uniformly distributed load of 325 lb/ft acts along a 12 ft segment of the beam, starting from point A to point B. - The beam extends another 3 ft from point B to point C, which is supported. **Steps for Analysis:** 1. **Draw the Shear Force Diagram:** - Start from the left end (A) and add the reaction force. - Subtract the area of the distributed load as you move along the beam. - The shear force typically changes linearly with distributed loads. 2. **Draw the Bending Moment Diagram:** - Integrate the shear force diagram. - Plot the bending moment starting with zero at supports (A and C in this case). - Look for points where the shear force crosses zero; these often indicate maximum or minimum bending moments. 3. **Calculate the Maximum Bending Moment:** - Use equilibrium equations for precise calculations. - Find moments around different sections to determine the absolute values. By systematically analyzing the forces and drawing the diagrams, you will determine critical points for the shear force and bending moment along the beam, aiding in structural safety and efficiency assessments.
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