The area of the green section is 13,222 mm2. It has the following moments of inertia with respect to the x- and y-axes: I, = 344 x 10° mm“ and I, = 507 x 10° mm 100 mm 119 mm Determine the centroidal moments of inertia I, I ,, and J, in mm“ and the corresponding radii of gyration k, ky, and k, in millimeters.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The area of the green section is 13,222 mm-. It has the following moments of inertia with respect to the x- and y-axes: I, = 344 × 10° mm* and I,
= 507 x 106 mm4.
X.
y
y'
100 mm
119 mm
Determine the centroidal moments of inertia I, I,, and , in mm* and the corresponding radii of gyration k, k,
'x"
y'"
X"'y"
and k, in millimeters.
4.7e+06 X
2.12e+08 mm4
mm
4
mm
k
mm
=
mm
mm
Transcribed Image Text:The area of the green section is 13,222 mm-. It has the following moments of inertia with respect to the x- and y-axes: I, = 344 × 10° mm* and I, = 507 x 106 mm4. X. y y' 100 mm 119 mm Determine the centroidal moments of inertia I, I,, and , in mm* and the corresponding radii of gyration k, k, 'x" y'" X"'y" and k, in millimeters. 4.7e+06 X 2.12e+08 mm4 mm 4 mm k mm = mm mm
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