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2.15 Determine the moment M, at the base of the but- tress due to the applied thrust force F. Use Varignon's theorem. Force F is at a 5:12 slope. F13k THRUST. A

2.15 Determine the moment M, at the base of the but- tress due to the applied thrust force F. Use Varignon's theorem. Force F is at a 5:12 slope. F13k THRUST. A

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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Determine the moment of Ma at the base of the buttress due to the applied thrust force F.  Use Varignon's theorem.  Force F is at a 5:12 slope.

**2.15** Determine the moment \( M_A \) at the base of the buttress due to the applied thrust force \( F \). Use Varignon's theorem. Force \( F \) is at a 5:12 slope. ### Diagram Explanation The diagram accompanying the problem shows a triangular structure labeled ABCD. Here are the details of the diagram: - **Points and Lines**: - Point C is the base of the buttress. - Point A is positioned horizontally from point C. - Point D is the apex of the triangle. - Point B is the point of application of the thrust force. - **Dimensions and Coordinates**: - Distance \( CA = 15' \) (15 feet). - Distance \( CD = 24' \) (24 feet). - Distance \( AD = 26' \) (26 feet), shown as the hypotenuse from point A to D. - **Force Information**: - The thrust force \( F \) is 13 kips. - The force is applied at point B at a slope of 5:12. - Vertical and horizontal components of the force are indicated using triangles with height 12 and base 5. Using Varignon's theorem, you are required to calculate the moment \( M_A \) at the base of the buttress (point A) due to the applied thrust force \( F \).
Transcribed Image Text:**2.15** Determine the moment \( M_A \) at the base of the buttress due to the applied thrust force \( F \). Use Varignon's theorem. Force \( F \) is at a 5:12 slope. ### Diagram Explanation The diagram accompanying the problem shows a triangular structure labeled ABCD. Here are the details of the diagram: - **Points and Lines**: - Point C is the base of the buttress. - Point A is positioned horizontally from point C. - Point D is the apex of the triangle. - Point B is the point of application of the thrust force. - **Dimensions and Coordinates**: - Distance \( CA = 15' \) (15 feet). - Distance \( CD = 24' \) (24 feet). - Distance \( AD = 26' \) (26 feet), shown as the hypotenuse from point A to D. - **Force Information**: - The thrust force \( F \) is 13 kips. - The force is applied at point B at a slope of 5:12. - Vertical and horizontal components of the force are indicated using triangles with height 12 and base 5. Using Varignon's theorem, you are required to calculate the moment \( M_A \) at the base of the buttress (point A) due to the applied thrust force \( F \).
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