A & B reactions? w = w =200 lb/ft 440 Ib/ft 12'

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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### Beam Analysis for Reactions at Supports

**Problem Statement:**

Determine the reactions at supports A and B for the beam.

**Beam Description:**

The beam is supported at two ends, indicated by points A and B. The length of the beam is 12 feet.

**Load Distribution:**

- The beam is subjected to a varying distributed load.
- The load intensity starts at 200 pounds per foot (lb/ft) on the left side and increases linearly to 440 pounds per foot (lb/ft) on the right side.

**Reactions at Supports:**

To find the reactions at supports A and B, analyze the beam for static equilibrium. Consider calculating the total load on the beam by integrating the varying load distribution and then applying the conditions of static equilibrium:

1. Sum of vertical forces = 0
2. Sum of moments around any point = 0

By solving these equations, determine the reactions at supports A and B.
Transcribed Image Text:### Beam Analysis for Reactions at Supports **Problem Statement:** Determine the reactions at supports A and B for the beam. **Beam Description:** The beam is supported at two ends, indicated by points A and B. The length of the beam is 12 feet. **Load Distribution:** - The beam is subjected to a varying distributed load. - The load intensity starts at 200 pounds per foot (lb/ft) on the left side and increases linearly to 440 pounds per foot (lb/ft) on the right side. **Reactions at Supports:** To find the reactions at supports A and B, analyze the beam for static equilibrium. Consider calculating the total load on the beam by integrating the varying load distribution and then applying the conditions of static equilibrium: 1. Sum of vertical forces = 0 2. Sum of moments around any point = 0 By solving these equations, determine the reactions at supports A and B.
Expert Solution
Step 1

Here Suppose 

Reaction at A = RA

Reaction at B = RB

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