4 col lok 1. W
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Solve for external reactions at A and B.
![### Diagram Description
The image depicts a structural diagram of a simply supported beam. It includes the following components:
1. **Beam AB**: A horizontal beam is shown with two supports: one at point A and the other at point B.
2. **Support at Point A**:
- Type: Pinned support.
- Location: Left end of the beam.
- Function: Allows rotation but prevents translation in any direction.
3. **Support at Point B**:
- Type: Roller support.
- Location: Right end of the beam.
- Function: Allows both rotation and horizontal translation, preventing vertical movement.
4. **Load at Point C**:
- Type: Concentrated vertical load.
- Magnitude: \(10 \, \text{K}\) (kips or kilonewtons, depending on context).
- Location: Positioned 6 units from the pinned support at point A and 4 units from the roller support at point B.
5. **Dimensions**:
- Total Span of Beam AB: 10 units (6 units from A to C, and 4 units from C to B).
### Analysis Overview
This configuration is typical in structural analysis for determining reaction forces at the supports, as well as analyzing bending moments and shear forces along the beam. The placement of the load and types of supports will affect how the beam behaves under the given load.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ed8d57e-7060-482d-9b55-3648d7da0142%2F95f464da-5d30-4d7e-8bf2-99a1d6feb07c%2F93k73p0j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Diagram Description
The image depicts a structural diagram of a simply supported beam. It includes the following components:
1. **Beam AB**: A horizontal beam is shown with two supports: one at point A and the other at point B.
2. **Support at Point A**:
- Type: Pinned support.
- Location: Left end of the beam.
- Function: Allows rotation but prevents translation in any direction.
3. **Support at Point B**:
- Type: Roller support.
- Location: Right end of the beam.
- Function: Allows both rotation and horizontal translation, preventing vertical movement.
4. **Load at Point C**:
- Type: Concentrated vertical load.
- Magnitude: \(10 \, \text{K}\) (kips or kilonewtons, depending on context).
- Location: Positioned 6 units from the pinned support at point A and 4 units from the roller support at point B.
5. **Dimensions**:
- Total Span of Beam AB: 10 units (6 units from A to C, and 4 units from C to B).
### Analysis Overview
This configuration is typical in structural analysis for determining reaction forces at the supports, as well as analyzing bending moments and shear forces along the beam. The placement of the load and types of supports will affect how the beam behaves under the given load.
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