P8.21. Compute the deflection at B and the slope at C in Figure P8.21. Given: El is constant. 3 kips/ft -15' + P8.21 85 kip. ft -15'———

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Title: Beam Analysis Problem

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**Problem P8.21:** 

Compute the deflection at point B and the slope at point C in the provided Figure P8.21. It is given that \( EI \) (modulus of elasticity times the moment of inertia) is constant.

**Figure Explanation:** 

- The diagram shown is a simply supported beam with two distinct loads. 
- The beam spans a total of 30 feet, with supports located at each end.
- A uniformly distributed load of 3 kips/ft is applied across the first 15 feet of the beam (from support A to point B).
- After point B, an external moment of 85 kip-ft is applied at the end of the beam (at support C).
- The mid-section of the beam, where the distributed load ends, is denoted as point B.
- Horizontal distances are marked with each section measuring 15 feet.

The task involves calculating the deflection at point B due to the distributed load and determining the slope at point C caused by the moments and loads applied.
Transcribed Image Text:Title: Beam Analysis Problem --- **Problem P8.21:** Compute the deflection at point B and the slope at point C in the provided Figure P8.21. It is given that \( EI \) (modulus of elasticity times the moment of inertia) is constant. **Figure Explanation:** - The diagram shown is a simply supported beam with two distinct loads. - The beam spans a total of 30 feet, with supports located at each end. - A uniformly distributed load of 3 kips/ft is applied across the first 15 feet of the beam (from support A to point B). - After point B, an external moment of 85 kip-ft is applied at the end of the beam (at support C). - The mid-section of the beam, where the distributed load ends, is denoted as point B. - Horizontal distances are marked with each section measuring 15 feet. The task involves calculating the deflection at point B due to the distributed load and determining the slope at point C caused by the moments and loads applied.
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