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Determine the shear at A for the column shown. 4.5 k/ft a. 9 k b. 18 k c. 27 k d. 36 k 12 ft 12 ft B- 12 ft

Determine the shear at A for the column shown. 4.5 k/ft a. 9 k b. 18 k c. 27 k d. 36 k 12 ft 12 ft B- 12 ft

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 shear at A for the column shown.

**Shear Force Calculation in a Varying Load Column** **Problem Statement:** Determine the shear at point A for the column shown. **Given Data:** - There is a column with a total height of 36 ft, divided into three segments, each of 12 ft. - The column is subjected to a triangular distributed load varying from 0 at the top to 4.5 k/ft at the base. **Diagram Overview:** The diagram depicts: - A vertical column with height indicated into three equal segments of 12 ft each labeled A and B. - A triangular load distribution along the column, starting from 0 k/ft at the top to 4.5 k/ft at the base. - Support reactions at the base. - An indication of the shear force inquiry at point A. **Possible Answers:** a. 9 k b. 18 k c. 27 k d. 36 k **Analysis:** To determine the shear force at point A, point A is located 12 ft from the base. The shear force at any point in a column subjected to a variable distributed load can be computed by integrating the load distribution function from the base up to the point of interest. **Detailed Explanation of Diagram:** 1. Vertical Column: A structural element subjected to load. 2. Load Distribution: A triangular load increasing linearly from 0 at the top to 4.5 k/ft at the base. 3. Points A and B: Specific points on the column used for segment division. 4. Shear Force Inquiry: Calculation of shear force at a designated point (A) along the column. To solve the problem: - First, determine the equivalent shear force due to the triangular load up to point A using integration or a simplified approach. - Evaluate the expressions for shear force considering the influence of the distributed load up to point A.
Transcribed Image Text:**Shear Force Calculation in a Varying Load Column** **Problem Statement:** Determine the shear at point A for the column shown. **Given Data:** - There is a column with a total height of 36 ft, divided into three segments, each of 12 ft. - The column is subjected to a triangular distributed load varying from 0 at the top to 4.5 k/ft at the base. **Diagram Overview:** The diagram depicts: - A vertical column with height indicated into three equal segments of 12 ft each labeled A and B. - A triangular load distribution along the column, starting from 0 k/ft at the top to 4.5 k/ft at the base. - Support reactions at the base. - An indication of the shear force inquiry at point A. **Possible Answers:** a. 9 k b. 18 k c. 27 k d. 36 k **Analysis:** To determine the shear force at point A, point A is located 12 ft from the base. The shear force at any point in a column subjected to a variable distributed load can be computed by integrating the load distribution function from the base up to the point of interest. **Detailed Explanation of Diagram:** 1. Vertical Column: A structural element subjected to load. 2. Load Distribution: A triangular load increasing linearly from 0 at the top to 4.5 k/ft at the base. 3. Points A and B: Specific points on the column used for segment division. 4. Shear Force Inquiry: Calculation of shear force at a designated point (A) along the column. To solve the problem: - First, determine the equivalent shear force due to the triangular load up to point A using integration or a simplified approach. - Evaluate the expressions for shear force considering the influence of the distributed load up to point A.
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