Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Concept explainers

Planar Stresses
Question

P = 12 KIPS

In a section ABC, sufficiently far from the post to remain plane, determine the stress at corner A.

 

### Explanation of a Short Column Support **Problem Context:** A small post \(DE\) is supported by a short 10 × 10-in. column as depicted in the diagram. **Diagram Description:** The diagram shows a post \(DE\) sitting on top of a block that measures 10 inches by 10 inches. The post is labeled as \(D\) at the top and \(E\) where it meets the block. There is a force, \(P\), acting downward on the post. The block itself is a cube with several measurements marked: 1. From the bottom left corner \(A\) to the top left corner \(E\), and bottom right corner \(B\) to the top right corner \(C\), it is marked 5 inches vertically. 2. Horizontally, from point \(A\) to point \(B\) (left to right at the bottom of the block) and from \(E\) to \(C\) (left to right at the top of the block), it is also marked 5.5 inches. 3. The segment \(C\) to the right face of the block is marked at 4.5 inches. **Geometrical Details:** - Points \(A\) to \(B\) and \(A\) to \(D\) form the foundational base of the column. - The height of the cube is consistently measured at 5 inches. - The top of the cube has a left-to-right span from \(E\) to \(C\) of 5.5 inches. - The marked depth through \(C\) shows a length of 4.5 inches to the right face of the block. This setup likely involves calculating stresses or evaluating the structural integrity of the column under the applied force \(P\). **Purpose on Educational Website:** This diagram is used to illustrate the dimensions and forces acting on a small post supported by a short column. Students can practice understanding how to interpret given measurements and how the structure will respond to an applied load. This kind of problem is fundamental in structural engineering and helps in learning how to determine the stresses and potential points of failure in a given structure.
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Transcribed Image Text:### Explanation of a Short Column Support **Problem Context:** A small post \(DE\) is supported by a short 10 × 10-in. column as depicted in the diagram. **Diagram Description:** The diagram shows a post \(DE\) sitting on top of a block that measures 10 inches by 10 inches. The post is labeled as \(D\) at the top and \(E\) where it meets the block. There is a force, \(P\), acting downward on the post. The block itself is a cube with several measurements marked: 1. From the bottom left corner \(A\) to the top left corner \(E\), and bottom right corner \(B\) to the top right corner \(C\), it is marked 5 inches vertically. 2. Horizontally, from point \(A\) to point \(B\) (left to right at the bottom of the block) and from \(E\) to \(C\) (left to right at the top of the block), it is also marked 5.5 inches. 3. The segment \(C\) to the right face of the block is marked at 4.5 inches. **Geometrical Details:** - Points \(A\) to \(B\) and \(A\) to \(D\) form the foundational base of the column. - The height of the cube is consistently measured at 5 inches. - The top of the cube has a left-to-right span from \(E\) to \(C\) of 5.5 inches. - The marked depth through \(C\) shows a length of 4.5 inches to the right face of the block. This setup likely involves calculating stresses or evaluating the structural integrity of the column under the applied force \(P\). **Purpose on Educational Website:** This diagram is used to illustrate the dimensions and forces acting on a small post supported by a short column. Students can practice understanding how to interpret given measurements and how the structure will respond to an applied load. This kind of problem is fundamental in structural engineering and helps in learning how to determine the stresses and potential points of failure in a given structure.
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