The section shown below is made of 50 ksi A992 steel.  The x-axis is lateral and the y-axis is vertical. Determine the following: Determine the plastic section modulus Zx and the design plastic moment by AISC (fMp).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The section shown below is made of 50 ksi A992 steel.  The x-axis is lateral and the y-axis is vertical.

Determine the following:

  1. Determine the plastic section modulus Zx and the design plastic moment by AISC (fMp).
### Diagram Explanation

The diagram illustrates a structural component with its dimensions labeled. The component resembles a table frame with vertical and horizontal parts. For clarity, the dimensions and structure are described in the following sections.

### Detailed Dimensions and Structure

1. **Component Overview**:
   - The structure consists of a horizontal top member supported by two vertical legs.
 
2. **Horizontal Member**:
   - Length: 28 inches.
   - Thickness: 1 inch.

3. **Vertical Members (Legs)**:
   - Height: 15 inches from the ground to the top member.
   - Each leg is 1 inch wide.
   - The legs are positioned such that the distance between the inner edges of the legs is 18 inches.
   - Each leg is 4 inches away from the outer edge of the horizontal member.

4. **Dimensions of the Open Area**:
   - The open space beneath the horizontal member has a vertical clearance of 14 inches.
   - The width between the inner sides of the legs is 18 inches, as earlier mentioned.

### Coordinate System
- A coordinate system is shown with the x and y axes on the right side of the diagram. 
   - The origin of the coordinate system is not shown but typically would be considered at the bottom left corner of the structure.

This structured explanation covers all the labeled dimensions, the composition of the structural component, and how the parts are spatially related. It provides a clear understanding of the object's size and geometry, which can be useful for educational purposes such as structural design or engineering studies.
Transcribed Image Text:### Diagram Explanation The diagram illustrates a structural component with its dimensions labeled. The component resembles a table frame with vertical and horizontal parts. For clarity, the dimensions and structure are described in the following sections. ### Detailed Dimensions and Structure 1. **Component Overview**: - The structure consists of a horizontal top member supported by two vertical legs. 2. **Horizontal Member**: - Length: 28 inches. - Thickness: 1 inch. 3. **Vertical Members (Legs)**: - Height: 15 inches from the ground to the top member. - Each leg is 1 inch wide. - The legs are positioned such that the distance between the inner edges of the legs is 18 inches. - Each leg is 4 inches away from the outer edge of the horizontal member. 4. **Dimensions of the Open Area**: - The open space beneath the horizontal member has a vertical clearance of 14 inches. - The width between the inner sides of the legs is 18 inches, as earlier mentioned. ### Coordinate System - A coordinate system is shown with the x and y axes on the right side of the diagram. - The origin of the coordinate system is not shown but typically would be considered at the bottom left corner of the structure. This structured explanation covers all the labeled dimensions, the composition of the structural component, and how the parts are spatially related. It provides a clear understanding of the object's size and geometry, which can be useful for educational purposes such as structural design or engineering studies.
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