The cross-sectional area of a wide-flange I-beam has the handbook value of I = 654 in.4 by treating the section a
The cross-sectional area of a wide-flange I-beam has the handbook value of I = 654 in.4 by treating the section a
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
I got 736.478 but that's incorrect. Need help.
**Diagram Explanation:**
- The I-beam is oriented vertically, with the y-axis indicated at the top and the x-axis at the center.
- The dimensions of the I-beam are labeled:
- The width of the top and bottom flanges is \(7.073 \, \text{in.}\).
- The thickness of each flange is \(0.628 \, \text{in.}\).
- The height of the web (vertical section between the flanges) is \(16.25 \, \text{in.}\).
- The thickness of the web is \(0.380 \, \text{in.}\).
**Calculated Moment of Inertia:**
\[
\text{Answer: } \bar{I}_x = 736.478 \, \text{in.}^4
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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.
**Diagram Explanation:**
- The I-beam is oriented vertically, with the y-axis indicated at the top and the x-axis at the center.
- The dimensions of the I-beam are labeled:
- The width of the top and bottom flanges is \(7.073 \, \text{in.}\).
- The thickness of each flange is \(0.628 \, \text{in.}\).
- The height of the web (vertical section between the flanges) is \(16.25 \, \text{in.}\).
- The thickness of the web is \(0.380 \, \text{in.}\).
**Calculated Moment of Inertia:**
\[
\text{Answer: } \bar{I}_x = 736.478 \, \text{in.}^4
\]
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