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'
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'
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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