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3. An inclined king-post truss supports a vertical and horizontal force at C. Determine the support reactions developed at A and B.

3. An inclined king-post truss supports a vertical and horizontal force at C. Determine the support reactions developed at A and 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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Sure, here is the transcription and description of the diagram: **Problem Statement:** 3. An inclined king-post truss supports a vertical and horizontal force at C. Determine the support reactions developed at A and B. **Diagram Description:** - The truss is a triangular structure with a base comprising points A, D, and B. - The horizontal distance from A to B is composed of two segments: AD and DB, each 6 meters long. - There is an internal vertical member connecting point D to a point 2.5 meters above it, labeled C, forming a king-post truss. - Forces are applied at point C: a 1 kN vertical force pointing downward and a 1 kN horizontal force pointing to the left. - The base of the truss is inclined, as indicated by the right triangle with a 5 (vertical) to 12 (horizontal) ratio, suggesting an incline on which the truss rests. - Point A is a pin support, allowing for both horizontal and vertical reactions. - Point B has a roller support, allowing only a vertical reaction. The challenge is to compute the support reactions at points A and B due to the applied forces at point C.
Transcribed Image Text:Sure, here is the transcription and description of the diagram: **Problem Statement:** 3. An inclined king-post truss supports a vertical and horizontal force at C. Determine the support reactions developed at A and B. **Diagram Description:** - The truss is a triangular structure with a base comprising points A, D, and B. - The horizontal distance from A to B is composed of two segments: AD and DB, each 6 meters long. - There is an internal vertical member connecting point D to a point 2.5 meters above it, labeled C, forming a king-post truss. - Forces are applied at point C: a 1 kN vertical force pointing downward and a 1 kN horizontal force pointing to the left. - The base of the truss is inclined, as indicated by the right triangle with a 5 (vertical) to 12 (horizontal) ratio, suggesting an incline on which the truss rests. - Point A is a pin support, allowing for both horizontal and vertical reactions. - Point B has a roller support, allowing only a vertical reaction. The challenge is to compute the support reactions at points A and B due to the applied forces at point C.
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