Problem-1 Use the moment distribution. Find the reactions. Draw the shear and moment diagrams, showing max values in each span. Indicate the points of inflection. El is constant. 32 kips 3 kips/f MEN 16

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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## Problem 1

**Objective:**

Use the moment distribution method to find the reactions. Draw the shear and moment diagrams, showing maximum values in each span. Indicate the points of inflection. Assume \( EI \) is constant.

**Diagram Explanation:**

The structure shown is a beam with three spans. The following details are given:

- A concentrated load of 32 kips is applied at point B.
- A uniformly distributed load (\( w = 3 \text{ kips/ft} \)) is applied over the span BC.
- The beam is fixed at point A and ends at point C, with an intermediate support at B.

**Dimensions:**

- Span AB: 10 ft
- Span BC: 16 ft

This setup is typically used to analyze and understand the behavior of beams under different loading conditions, especially focusing on reactions, shear forces, and bending moments.

### Steps:

1. Use the moment distribution method to calculate the reactions at supports A, B, and C.
2. Draw the shear force diagram indicating maximum values for each span.
3. Draw the bending moment diagram, showing the maximum values and indicating points of inflection where applicable.

This exercise helps to reinforce concepts related to structural analysis, particularly using the moment distribution method to analyze indeterminate structures.
Transcribed Image Text:## Problem 1 **Objective:** Use the moment distribution method to find the reactions. Draw the shear and moment diagrams, showing maximum values in each span. Indicate the points of inflection. Assume \( EI \) is constant. **Diagram Explanation:** The structure shown is a beam with three spans. The following details are given: - A concentrated load of 32 kips is applied at point B. - A uniformly distributed load (\( w = 3 \text{ kips/ft} \)) is applied over the span BC. - The beam is fixed at point A and ends at point C, with an intermediate support at B. **Dimensions:** - Span AB: 10 ft - Span BC: 16 ft This setup is typically used to analyze and understand the behavior of beams under different loading conditions, especially focusing on reactions, shear forces, and bending moments. ### Steps: 1. Use the moment distribution method to calculate the reactions at supports A, B, and C. 2. Draw the shear force diagram indicating maximum values for each span. 3. Draw the bending moment diagram, showing the maximum values and indicating points of inflection where applicable. This exercise helps to reinforce concepts related to structural analysis, particularly using the moment distribution method to analyze indeterminate structures.
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