A. Determine the y component of reaction at A. B. Determine the x component of reaction at C. C. Determine the y component of reaction at C. D. Determine the moment of reaction at C.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
A. Determine the y component of reaction at A. B. Determine the x component of reaction at C. C. Determine the y component of reaction at C. D. Determine the moment of reaction at C.
**Problem Statement:**

Consider the compound beam shown in Figure 1. Assume \( C \) is fixed, \( B \) is a pin, and \( A \) is a roller. Suppose that \( w = 17 \, \text{kN/m} \).

**Diagram Explanation:**

The diagram presents a horizontal beam with three support points labeled as \( A \), \( B \), and \( C \). The beam extends horizontally and includes the following features:

- **Support Types:**
  - \( C \): Fixed support at the right end of the beam.
  - \( B \): Pin support located 1 meter from the fixed support \( C \).
  - \( A \): Roller support located 4 meters from the fixed point \( C \) (3 meters from \( B \)).

- **Loads:**
  - A uniformly distributed load \( w = 17 \, \text{kN/m} \) acts downward on the segment of the beam between \( A \) and \( B \).
  - A concentrated point load of \( 20 \, \text{kN} \) is applied vertically downward at a point near the fixed support \( C \).

- **Dimensions:**
  - The segment \( AB \) is 3 meters long.
  - The segment \( BC \) is 1 meter long.
  
This setup is a typical example for analyzing the effects of various supports and loads on a structural beam.
Transcribed Image Text:**Problem Statement:** Consider the compound beam shown in Figure 1. Assume \( C \) is fixed, \( B \) is a pin, and \( A \) is a roller. Suppose that \( w = 17 \, \text{kN/m} \). **Diagram Explanation:** The diagram presents a horizontal beam with three support points labeled as \( A \), \( B \), and \( C \). The beam extends horizontally and includes the following features: - **Support Types:** - \( C \): Fixed support at the right end of the beam. - \( B \): Pin support located 1 meter from the fixed support \( C \). - \( A \): Roller support located 4 meters from the fixed point \( C \) (3 meters from \( B \)). - **Loads:** - A uniformly distributed load \( w = 17 \, \text{kN/m} \) acts downward on the segment of the beam between \( A \) and \( B \). - A concentrated point load of \( 20 \, \text{kN} \) is applied vertically downward at a point near the fixed support \( C \). - **Dimensions:** - The segment \( AB \) is 3 meters long. - The segment \( BC \) is 1 meter long. This setup is a typical example for analyzing the effects of various supports and loads on a structural beam.
Expert Solution
Step 1

Given:

w = 17 KN/m 

Civil Engineering homework question answer, step 1, image 1

Required:

A. Determine the y component of reaction at A.

B. Determine the x component of reaction at C.

C. Determine the y component of reaction at C.

D. Determine the moment of reaction at C.

 

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