MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications
MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications
6th Edition
ISBN: 9781119385134
Author: Amos Gilat
Publisher: WILEY
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Chapter 7, Problem 36P

The area moment of inertia I x e of a rectangle about the axis x0passing through its centroid is I x e = 1 12 b h 3 . The moment of inertia about an axis x that is parallel to x0is given by Ix= I x e + A d x 2 , where A is the area of the rectangle, and dxis the distance between the two axes. Write a MATLAB user-defined function that determines the area moment of inertia I x e of a I-beam about the axis that passes through its centroid (see drawing). For the function name and arguments use Ixc=IxcBeam(w, h, d, t), where the input arguments w, h, d, and t are the dimensions shown in the figure and the output argument Ixc is I x e . For finding the coordinate y of the centroid, use the user-defined function centroidI from the previous problem as a subfunction inside IxcBeam. (The moment of inertia of a composite area is obtained by dividing the area into parts and adding the moments of inertia of the parts.)

Use the function to determine the moment of inertia for a beam with w=10 in., h=8 in., d=6 in., and t=0.5 in.

Chapter 7, Problem 36P, The area moment of inertia Ixe of a rectangle about the axis x0passing through its centroid is

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Chapter 7 Solutions

MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications

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