The beam has an internal hinge at B. The moment at fixed end A equal to: 15 k A E lz' N W 91 1³0k C q'

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Beam Analysis with Internal Hinge**

**Problem Statement:**
The beam shown has an internal hinge at point B. Determine the moment at the fixed end A.

**Diagram Overview:**
- The beam is fixed at end A and supported at end D.
- The beam has an internal hinge at point B.
- A uniform distributed load of 15 kips (15 k) is applied from A to B.
- A point load of 30 kips (30 k) is applied at point C.
- Distances along the beam: 
  - From A to B: 12 feet (12')
  - From B to C: 9 feet (9')
  - From C to D: 9 feet (9')

**Objective:**
Find the moment at support A. 

**Considerations:**
- Evaluate forces and moments considering the internal hinge at B allows for independent rotation of segments AB and BD.
- Use static equilibrium equations to solve for unknown reactions and internal forces.

**Note:**
Any further calculations would typically involve setting up equilibrium equations for each segment of the beam to determine the reactions and internal forces.
Transcribed Image Text:**Beam Analysis with Internal Hinge** **Problem Statement:** The beam shown has an internal hinge at point B. Determine the moment at the fixed end A. **Diagram Overview:** - The beam is fixed at end A and supported at end D. - The beam has an internal hinge at point B. - A uniform distributed load of 15 kips (15 k) is applied from A to B. - A point load of 30 kips (30 k) is applied at point C. - Distances along the beam: - From A to B: 12 feet (12') - From B to C: 9 feet (9') - From C to D: 9 feet (9') **Objective:** Find the moment at support A. **Considerations:** - Evaluate forces and moments considering the internal hinge at B allows for independent rotation of segments AB and BD. - Use static equilibrium equations to solve for unknown reactions and internal forces. **Note:** Any further calculations would typically involve setting up equilibrium equations for each segment of the beam to determine the reactions and internal forces.
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