The cross-sectional area of a wide-flange I-beam has the dimensions shown. Obtain a close approximation to the handbook value of I = 654 in.4 by treating the section as being composed of three rectangles. 16.25" 0.380" 7.073" 0.628" Answer: I = i %3D in.4
The cross-sectional area of a wide-flange I-beam has the dimensions shown. Obtain a close approximation to the handbook value of I = 654 in.4 by treating the section as being composed of three rectangles. 16.25" 0.380" 7.073" 0.628" Answer: I = i %3D in.4
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![The cross-sectional area of a wide-flange I-beam has the dimensions shown. Obtain a close approximation to the handbook value of \( \bar{I}_{x} = 654 \, \text{in.}^4 \) by treating the section as being composed of three rectangles.
### Image Explanation:
The diagram displays a wide-flange I-beam with dimensions labeled. The beam is oriented vertically with its flanges (horizontal parts) on top and bottom, and the web (vertical part) connecting them.
- **Flange Width**: 7.073 inches
- **Flange Thickness**: 0.628 inches
- **Web Height**: 16.25 inches
- **Web Thickness**: 0.380 inches
The coordinate axes \( x \) and \( y \) are indicated, with the \( x \)-axis along the length of the flanges.
Below the diagram, there’s a prompt for the user to input the calculated value of \( \bar{I}_{x} \), the moment of inertia around the x-axis, in square inches.
**Answer: \( \bar{I}_{x} = \) _______ in.\(^4\)**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad780f39-cf2e-4791-b85c-4762d22b8dea%2Febfabb3d-2d17-46bc-8d9e-4d77ff7787ae%2Fm2pg8z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The cross-sectional area of a wide-flange I-beam has the dimensions shown. Obtain a close approximation to the handbook value of \( \bar{I}_{x} = 654 \, \text{in.}^4 \) by treating the section as being composed of three rectangles.
### Image Explanation:
The diagram displays a wide-flange I-beam with dimensions labeled. The beam is oriented vertically with its flanges (horizontal parts) on top and bottom, and the web (vertical part) connecting them.
- **Flange Width**: 7.073 inches
- **Flange Thickness**: 0.628 inches
- **Web Height**: 16.25 inches
- **Web Thickness**: 0.380 inches
The coordinate axes \( x \) and \( y \) are indicated, with the \( x \)-axis along the length of the flanges.
Below the diagram, there’s a prompt for the user to input the calculated value of \( \bar{I}_{x} \), the moment of inertia around the x-axis, in square inches.
**Answer: \( \bar{I}_{x} = \) _______ in.\(^4\)**
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