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13.18 Determine the deflection at the centerline and the slope at the right end of the beam shown in the accompanying illustration. I=2100 in.4. 20 k 10 ft- 3 klf -30 ft- 2 klf -10 ft- 1

13.18 Determine the deflection at the centerline and the slope at the right end of the beam shown in the accompanying illustration. I=2100 in.4. 20 k 10 ft- 3 klf -30 ft- 2 klf -10 ft- 1

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Use the virtual work method for solving problems 13.7 through 13.30. E=29x10^6 psi for all problems unless otherwise indicated. 

### Beam Deflection and Load Analysis **Problem Statement:** Determine the deflection at the centerline and the slope at the right end of the beam shown in the accompanying illustration. The moment of inertia \( I = 2100 \, \text{in}^4 \). **Diagram Explanation:** The diagram illustrates a beam subjected to various loads and supports. 1. **Beam Dimensions:** - Total length: 40 feet 2. **Loads:** - A point load of 20 kips is applied vertically downwards near the left end of the beam. - A distributed load of 3 kips/foot (klf) spans across the first 30 feet of the beam. - Another distributed load of 2 kips/foot (klf) spans across the remaining 10 feet of the beam. 3. **Support Conditions:** - The beam is supported at two points: - A pin support located 10 feet from the left side. - A roller support located 10 feet from the right side. These support conditions and loads contribute to the beam's bending and require calculation to determine deflection and slope at specified points for structural analysis.
Transcribed Image Text:### Beam Deflection and Load Analysis **Problem Statement:** Determine the deflection at the centerline and the slope at the right end of the beam shown in the accompanying illustration. The moment of inertia \( I = 2100 \, \text{in}^4 \). **Diagram Explanation:** The diagram illustrates a beam subjected to various loads and supports. 1. **Beam Dimensions:** - Total length: 40 feet 2. **Loads:** - A point load of 20 kips is applied vertically downwards near the left end of the beam. - A distributed load of 3 kips/foot (klf) spans across the first 30 feet of the beam. - Another distributed load of 2 kips/foot (klf) spans across the remaining 10 feet of the beam. 3. **Support Conditions:** - The beam is supported at two points: - A pin support located 10 feet from the left side. - A roller support located 10 feet from the right side. These support conditions and loads contribute to the beam's bending and require calculation to determine deflection and slope at specified points for structural analysis.
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