Determine the Y component of reaction at A (Ay) determine the X component of reaction at C (Cx) determibe the Y component of reaction at C (Cy) determine the moment of reaction at C (Mc) please explain the steps I am trying to understand completely

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Determine the Y component of reaction at A (Ay)

determine the X component of reaction at C (Cx)

determibe the Y component of reaction at C (Cy)

determine the moment of reaction at C (Mc)

please explain the steps I am trying to understand completely

 

**Compound Beam Problem**

Consider the compound beam shown in the diagram (Figure 1). In this setup:
- Support at point \(C\) is fixed.
- Support at point \(B\) is a pin.
- Support at point \(A\) is a roller.

The beam is subjected to the following loads:
- A uniformly distributed load with intensity \( w = 17 \, \text{kN/m} \) acting on the leftmost segment of the beam, starting from point \(A\) and tapering off linearly towards point \(B\).
- A concentrated load of \( 20 \, \text{kN} \) acting downward at point \(B\).

**Diagram Description:**

The diagram consists of a horizontal beam supported at three distinct points:
- Point \(A\) (left end) has a roller support with a distributed load starting above it.
- Point \(B\) (middle) has a pin support with the concentrated load \( 20 \, \text{kN} \) applied downwards directly above it.
- Point \(C\) (right end) is attached to a wall, indicating a fixed support.

Dimensions:
- The distance from support \(A\) to support \(B\) is \(3 \, \text{meters}\).
- The distance from support \(B\) to support \(C\) is divided into two segments, each \(1 \, \text{meter}\) long.

For analysis, the distributed load \( w \) forms a right triangle with its maximum intensity (\( 17 \, \text{kN/m} \)) at point \(A\) and tapering to zero at point \(B\).

**Axis Orientation:**
- The horizontal axis (\(x\)) extends from left to right along the beam.
- The vertical axis (\(y\)) runs perpendicular to the beam from bottom to top.

This setup is designed to help analyze the internal reactions and moments at different points in the beam, considering the given loading conditions and support types.
Transcribed Image Text:**Compound Beam Problem** Consider the compound beam shown in the diagram (Figure 1). In this setup: - Support at point \(C\) is fixed. - Support at point \(B\) is a pin. - Support at point \(A\) is a roller. The beam is subjected to the following loads: - A uniformly distributed load with intensity \( w = 17 \, \text{kN/m} \) acting on the leftmost segment of the beam, starting from point \(A\) and tapering off linearly towards point \(B\). - A concentrated load of \( 20 \, \text{kN} \) acting downward at point \(B\). **Diagram Description:** The diagram consists of a horizontal beam supported at three distinct points: - Point \(A\) (left end) has a roller support with a distributed load starting above it. - Point \(B\) (middle) has a pin support with the concentrated load \( 20 \, \text{kN} \) applied downwards directly above it. - Point \(C\) (right end) is attached to a wall, indicating a fixed support. Dimensions: - The distance from support \(A\) to support \(B\) is \(3 \, \text{meters}\). - The distance from support \(B\) to support \(C\) is divided into two segments, each \(1 \, \text{meter}\) long. For analysis, the distributed load \( w \) forms a right triangle with its maximum intensity (\( 17 \, \text{kN/m} \)) at point \(A\) and tapering to zero at point \(B\). **Axis Orientation:** - The horizontal axis (\(x\)) extends from left to right along the beam. - The vertical axis (\(y\)) runs perpendicular to the beam from bottom to top. This setup is designed to help analyze the internal reactions and moments at different points in the beam, considering the given loading conditions and support types.
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