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Nő. 4 For the frame shown below, compute the vertical deflection at point B.

Nő. 4 For the frame shown below, compute the vertical deflection at point B.

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 No. 4** For the frame shown below, compute the vertical deflection at point B. --- **Diagram Explanation:** The diagram shows a structural frame consisting of three segments: - Segment AB: A diagonal member inclined at an angle, with a length totaling 3 meters (1.5 m + 1.5 m). A point load of 150 kN is applied vertically downward at the midpoint of this segment. - Segment BC: A horizontal member extending 5 meters to the right from point B to point C. A uniformly distributed load of 20 kN/m is applied along this section. The frame is supported at points A (a hinged support) and C (a roller support), which allow for rotational and translational constraints respectively. **Material Properties:** - The product \( EI \) (flexural rigidity) is a constant. - Young's modulus \( E \) is given as 200 GPa. - Moment of inertia \( I \) is provided as \( 500 \times 10^6 \) mm\(^4\). The objective is to compute the vertical deflection at point B due to the applied loads.
Transcribed Image Text:**Problem No. 4** For the frame shown below, compute the vertical deflection at point B. --- **Diagram Explanation:** The diagram shows a structural frame consisting of three segments: - Segment AB: A diagonal member inclined at an angle, with a length totaling 3 meters (1.5 m + 1.5 m). A point load of 150 kN is applied vertically downward at the midpoint of this segment. - Segment BC: A horizontal member extending 5 meters to the right from point B to point C. A uniformly distributed load of 20 kN/m is applied along this section. The frame is supported at points A (a hinged support) and C (a roller support), which allow for rotational and translational constraints respectively. **Material Properties:** - The product \( EI \) (flexural rigidity) is a constant. - Young's modulus \( E \) is given as 200 GPa. - Moment of inertia \( I \) is provided as \( 500 \times 10^6 \) mm\(^4\). The objective is to compute the vertical deflection at point B due to the applied loads.
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