Find the support reactions at A. Magnitude and direction. ### Understanding Support Reaction in a Cantilever BeamThis diagram illustrates a cantilever beam setup with the objective: **"Find the support reaction at A (magnitude and direction)."**#### Diagram Details:1. **Beam Configuration:** - A vertical cantilever beam is fixed at point A. - The beam is subject to a triangular distributed load starting from point A and tapering out over an 18-foot span.2. **Distributed Load:** - The load is represented by a right triangle, with the base along the 18-foot length of the beam. - The maximum intensity of the load is 200 pounds per foot (lb/ft) at the farthest point from A. - Load arrows indicate the direction and distribution of force, pointing horizontally from left to right.3. **Objective:** - To calculate the magnitude and direction of the support reaction at point A due to the triangular distributed load. This involves understanding how the load affects the stability and equilibrium of the structure at the support point.4. **Analyzing the Load:** - The triangular distributed load can be simplified into a resultant force. The resultant of a triangular load acts at one-third the distance from the base (point A in this case). - The magnitude of the resultant force is calculated by finding the area of the triangular distribution, i.e., \( \frac{1}{2} \times \text{base} \times \text{height} \).Understanding these elements helps in the analysis and determination of the structural reactions necessary to maintain the equilibrium of the beam.

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Answered: Find the support reactions at A.…

Engineering

Civil Engineering

Find the support reactions at A. Magnitude and direction.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

Find the support reactions at A. Magnitude and direction.

### Understanding Support Reaction in a Cantilever Beam

This diagram illustrates a cantilever beam setup with the objective: **"Find the support reaction at A (magnitude and direction)."**

#### Diagram Details:

1. **Beam Configuration:**
- A vertical cantilever beam is fixed at point A.
- The beam is subject to a triangular distributed load starting from point A and tapering out over an 18-foot span.

2. **Distributed Load:**
- The load is represented by a right triangle, with the base along the 18-foot length of the beam.
- The maximum intensity of the load is 200 pounds per foot (lb/ft) at the farthest point from A.
- Load arrows indicate the direction and distribution of force, pointing horizontally from left to right.

3. **Objective:**
- To calculate the magnitude and direction of the support reaction at point A due to the triangular distributed load. This involves understanding how the load affects the stability and equilibrium of the structure at the support point.

4. **Analyzing the Load:**
- The triangular distributed load can be simplified into a resultant force. The resultant of a triangular load acts at one-third the distance from the base (point A in this case).
- The magnitude of the resultant force is calculated by finding the area of the triangular distribution, i.e., \( \frac{1}{2} \times \text{base} \times \text{height} \).

Understanding these elements helps in the analysis and determination of the structural reactions necessary to maintain the equilibrium of the beam.

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