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'———
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'———
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc837c159-281c-429a-9ec5-8a70fc5b4137%2F71b99d7a-4abc-4f57-9bb3-2c53d4fae1e1%2Fn1yzocs_processed.png&w=3840&q=75)
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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