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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Chapter 8, Problem 8.8P
For the cross section of Problem 8.3 , 
calculate the moment of inertia with respect to the Y-Y centroidal axis.
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The figure shows the cross section of a standard L100 X 80 X 10 mm structural steel, unequal angle section. Compute the maximum and minimum moment of inertia along the principal axis passing thru the centroid of the section.
Compute the moments of inertia with respect to the X-X and Y-Y centroidal axes for the composite shape shown below
Problem 3
Find the centroidal moment of inertia and radius of gyration of the given cross section below, then determine the moment of inertia and radius of gyration about the z-axis using the translation formulas.
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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- 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.arrow_forwardDetermine Iu for the inverted T-section shown. Note that the section is symmetric about the y-axis.arrow_forwardCalculate the centroid of the composite shape in reference to the bottom of the shape and calculate the moment of inertia about the centroid x-axis.arrow_forward
- In the fig. shown, compute the ff: 5 in Centroidal axis, ỹ = 8 in. Moment of inertia with respect to the base(x-axis), I = e-s in.-→e8 in.→|arrow_forwardCalculate the radius of gyration with respect to the X-X centroidal axis of the area shown in the figure below. Please answer and show your work.arrow_forwardFind the centroid of the section in the figure. Calculate the moments of inertia Iz , ly with respect to the z-y axis set passing through the centroid.arrow_forward
- Calculate the moment of inertia with respect to the X–X centroidal axes for the areas shown.arrow_forwardCompute the moment of inertia for the hollow box section shown in Figure A.5a about a centroidal axis parallel to the narrow side.arrow_forwardProblem -06 Moment of Inertia Determine by direct integration the moment of inertia of the shaded area(Fig -6)with respect to the y axis.arrow_forward
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