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 8.19P

Compute the radii of gyration with respect to the X-X and Y-Y centroidal axes for the aluminum extruded shape shown.

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Compute the moments of inertia with respect to the X-X and Y-Y centroidal axes for the composite shape shown below

Compute for the moments of inertia and radius of gyration of the
shaded area with respect to the x – y axes.
(Show the table with complete solution)

Find center of the mass of the hatched figure. Assign the location of the main axles and the values of main moment of inertia. Size of the walls are in the milimeters.

# 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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions

The L806010-mm structural angle has the following cross-sectional properties: Ix=0.808106mm4,Iy=0.388106mm4, and I2=0.213106mm4, where I2 is a centroidal principal moment of inertia. Assuming that Ixy is negative, compute (a) I1 (the other centroidal principal moment of inertia); and (b) the principal directions at the centroid.

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Compute the principal centroidal moments of inertia for the plane area.

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The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.

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The L806010-mm structural angle has the following cross-sectional properties: Ix=0.808106mm4,Iy=0.388106mm4, and I2=0.213106mm4, where I2 is a principal centroidal moment of inertia. Assuming Ixy is negative, compute (a) I1 (the other principal centroidal moment of inertia); and (b) the principal directions.

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Using Ix and Iu from Table 9.2, determine the moment of inertia of the circular sector about the OB-axis. Check your result for =45 with that given for a quarter circle in Table 9.2.

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Solve location of centroid and moment of Inertia with respect to the neutral axis

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Compute for the Area, Location of centroids, Moment of Inertia with respect to x and y,and radius of gyration with respect to x and y.

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For the shaded region below.
a.) Determine the coordinates of the centroid b.) Calculate the moment of inertia about the x-axis.
c.) Compute the moment of inertia about the y-axis.

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Find center of the mass of the hatched figure. Assign the location of the main axles and the values of main moments of inertia. Size of the walls are in the milimeters.

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