APPLIED STATICS & STRENGTH OF MATERIALS
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ISBN: 9781323905210
Author: Limbrunner
Publisher: PEARSON C
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Chapter 8, Problem 8.39SP
Compute the radii of gyration with respect to the X-X and Y-Y centroidal axes for the areas indicated in Problem 8.32 /.
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Chapter 8 Solutions
APPLIED STATICS & STRENGTH OF MATERIALS
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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_forwardCompute the principal centroidal moments of inertia for the plane area.arrow_forwardThe 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.arrow_forward
- 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.arrow_forwardUsing integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.arrow_forwardDetermine Iu for the inverted T-section shown. Note that the section is symmetric about the y-axis.arrow_forward
- The product of inertia of triangle (a) with respect to its centroid is Ixy=b2h2/72. What is Ixy for triangles (b)-(d)? (Hint: Investigate the signs in the expression Ixy=IxyAxy.)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_forwardFind 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.arrow_forward
- Calculate 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_forwardCalculate the moment of inertia for Ix and Iy relative for centroidarrow_forwardSolve it clearly and correctly please. I will rate and review accordingly. calculate second moment of area ( moment of inertia ) and centeroid of the following shape?arrow_forward
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