PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Determine the moment of inertia and the radius of gyration of the shaded area with respect to the
x-axis. Given: r = 79 mm.
125 mm
125 mm -
250 mm
The moment of inertia is
The radius of gyration is
*106 mm4.
mm.
Determine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point
O.
-0.56h
Answers:
1x = i
ly= i
lo= i
0.60h
-0.56h
h
h4
h4
he
Determine the moment of inertia about the y-axis of the shaded area of the figure shown:*
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- Determine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point O. -0.80h Answers: lx = i ly= i lo = i 0.67h -0.80h h4 h4 h4arrow_forwardDetermine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point O. -0.58h -0.58h 0.63h harrow_forwardDetermine the moment of inertia of the area about: A. the x-axis B. the y-axis Hint: See Appendix A for the textbook for common integral solutions. 9 in. 3 in. y=9-x² Xarrow_forward
- Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to the x axis.arrow_forwardDetermine the moment of inertia of the shaded area with respect to the y axis.arrow_forwardDetermine the moments of inertia of the shaded area with respect to the x and y axes. use a horizontal differential element of thickness for both calculations.arrow_forward
- Determine the moment of inertia about X-axis and Y-axisarrow_forwardFind the Moment of inertia of the given section about X-X axis passing through its center of gravity. Take A= 80 mm, B= 20 mm, C= 60 mm and D= 100 mm A B .C Darrow_forwardDetermine the moments of inertia of the shaded area about the x- and y-axes. Also determine the polar moment of inertia about point O. -0.57h -0.57h 0.59h h Answers: Ix = h4 Iy = h4 Io = h4arrow_forward
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