transfer formula for moment of inertia

821 Rectangle minus semi-circle | Moment of Inertia

Problem 821
Find the moment of inertia about the indicated x-axis for the shaded area shown in Fig. P-821.
 

821-rectangle-minus-semi-circle.gif

 

819 Inverted T-section | Moment of Inertia

Problem 819
Determine the moment of inertia of the T-section shown in Fig. P-819 with respect to its centroidal Xo axis.
 

818 Hollow square section | Moment of Inertia and Radius of Gyration

Problem 818
A hollow square cross section consists of an 8 in. by 8 in. square from which is subtracted a concentrically placed square 4 in. by 4 in. Find the polar moment of inertia and the polar radius of gyration with respect to a z axis passing through one of the outside corners.
 

Moment of Inertia and Radius of Gyration

Moment of Inertia
Moment of inertia, also called the second moment of area, is the product of area and the square of its moment arm about a reference axis.
 

Moment of inertia about the x-axis:

$\displaystyle I_x = \int y^2 \, dA$

 

000_moment_of_inertia.gif

 

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