Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Textbook Question
Chapter 8, Problem 8.25CP
For the following computer problems, any appropriate software may be used. Input prompts should fully explain what is required of the user (the program should be user-friendly). The resulting output should be well labeled and self-explanatory. For spreadsheet problems, any appropriate software may be used.
8.25 Write a program that will calculate rectangular moments of intertia, radii of gyration, and polar moments of inertia for a rectangular area. Both the X-X (horizontal) and Y-Y (vertical) axes should be considered. User input is to be width and height of the rectangular area.
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>
Hello,
I don't understand how to get the to equation of the moment of inertia for the shape in the picture below. I have added my own finding in the photo below. I hope you can help me.
Thanks!
Julia
a)Enter the Moment of Inertia of the rectangle (1) about its own centroidal x-axis, Enter your answer in the form: x106 mm4, to five significant figures.
b)Enter the Moment of Inertia of the rectangle (1) about the x-axis, Ix Enter your answer in the form: x106 mm4, to five significant figures.
c)Enter the Moment of Inertia of the quarter circle (2) about its own centroidal x-axis, Enter your answer in the form: x103 mm4, to five significant figures.
d)Enter the Moment of Inertia of the quarter circle (2) about the x-axis, Enter your answer in the form: x106 mm4, to five significant figures.
e)Enter the Moment of Inertia of the triangle (3) about its own centroidal x-axis, Enter your answer in the form: x103 mm4, to five significant figures.
f)Enter the Moment of Inertia of the triangle (3) about the x-axis, Enter your answer in the form: x103 mm4, to five significant figures.
g)Enter the Moment of Inertia of the Composite shape about the x-axis, Ix :Enter your answer in the form:…
Chapter 8 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 8 - Calculate the moment of intertia with respect to...Ch. 8 - Calculate the moment of inertia of the triangular...Ch. 8 - A structural steel wide-flange section is...Ch. 8 - The concrete block shown has wall thicknesses of...Ch. 8 - A rectangle has a base of 6 in. and a height of 12...Ch. 8 - For the area of Problem 8.5 , calculate the exact...Ch. 8 - Check the tabulated moment of inertia for a 300610...Ch. 8 - For the cross section of Problem 8.3 , calculate...Ch. 8 - Calculate the moments of intertia with respect to...Ch. 8 - Calculate the moments of intertia with respect to...
Ch. 8 - The rectangular area shown has a square hole cut...Ch. 8 - For the built-up structural steel member shown,...Ch. 8 - Calculate the moments of inertia about both...Ch. 8 - Calculate the moment of inertia with respect to...Ch. 8 - For the two channels shown, calculated the spacing...Ch. 8 - Compute the radii of gyration about both...Ch. 8 - Two C1015.3 channels area welded together at their...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Calculate the polar moment of inertia for a...Ch. 8 - Calculate the polar moment of inertia for a...Ch. 8 - For the areas (a) aid (b) of Problem 8.9 ,...Ch. 8 - For the following computer problems, any...Ch. 8 - For the following computer problems, any...Ch. 8 - For the following computer problems, any...Ch. 8 - For the cross section shown, calculate the moments...Ch. 8 - Calculate the moments of inertia of the area shown...Ch. 8 - For the cross-sectional areas shown, calculate the...Ch. 8 - For the cross-sectional areas shown, calculate the...Ch. 8 - Calculate the moments of intertia of the built-up...Ch. 8 - Calculate the moments of inertia about both...Ch. 8 - Calculate lx and ly of the built-up steel members...Ch. 8 - Calculate the least radius of gyration for the...Ch. 8 - A structural steel built-up section is fabricated...Ch. 8 - Calculate the polar moment of inertia for the...Ch. 8 - Determine the polar moment of inertia for the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Calculate the polar moment of inertia about the...Ch. 8 - The area of the welded member shown is composed of...
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