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Use any geometric method to solve the response of the beam. Determine the maximum deflection (in mm) of the given beam. Indicate only the magnitude of the deflection. Use E=200GPA and l=5x107 mm4. P = 10KN w = 25 kN/m %3D |A В C 5 m 2 m

Use any geometric method to solve the response of the beam. Determine the maximum deflection (in mm) of the given beam. Indicate only the magnitude of the deflection. Use E=200GPA and l=5x107 mm4. P = 10KN w = 25 kN/m %3D |A В C 5 m 2 m

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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**Problem Statement:** Use any geometric method to solve the response of the beam. Determine the **maximum deflection (in mm) of the given beam**. Indicate only the magnitude of the deflection. Use \( E = 200 \, \text{GPa} \) and \( I = 5 \times 10^7 \, \text{mm}^4 \). **Diagram Explanation:** - The beam is simply supported with a fixed support at point A and a roller support at point B. - There is a uniformly distributed load (UDL) over the span from point A to point B, with the load intensity \( w = 25 \, \text{kN/m} \). - There is a point load \( P = 10 \, \text{kN} \) applied at a distance of 7 meters from point A. - The total length of the beam from point A to point C is 7 meters, composed of two segments: 5 meters from A to B and 2 meters from B to C. **Material and Geometric Properties:** - Modulus of Elasticity, \( E = 200 \, \text{GPa} \) - Moment of Inertia, \( I = 5 \times 10^7 \, \text{mm}^4 \) **Objective:** Calculate the maximum deflection of the beam due to the applied loads. Indicate only the magnitude of the deflection.
Transcribed Image Text:**Problem Statement:** Use any geometric method to solve the response of the beam. Determine the **maximum deflection (in mm) of the given beam**. Indicate only the magnitude of the deflection. Use \( E = 200 \, \text{GPa} \) and \( I = 5 \times 10^7 \, \text{mm}^4 \). **Diagram Explanation:** - The beam is simply supported with a fixed support at point A and a roller support at point B. - There is a uniformly distributed load (UDL) over the span from point A to point B, with the load intensity \( w = 25 \, \text{kN/m} \). - There is a point load \( P = 10 \, \text{kN} \) applied at a distance of 7 meters from point A. - The total length of the beam from point A to point C is 7 meters, composed of two segments: 5 meters from A to B and 2 meters from B to C. **Material and Geometric Properties:** - Modulus of Elasticity, \( E = 200 \, \text{GPa} \) - Moment of Inertia, \( I = 5 \times 10^7 \, \text{mm}^4 \) **Objective:** Calculate the maximum deflection of the beam due to the applied loads. Indicate only the magnitude of the deflection.
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