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Engineering Mechanics - Moments of Inertia

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Exercise

  • General Questions
"Two things are infinite: the universe and human stupidity; and I'm not sure about the universe."
- Albert Einstein
1. 

Determine the radius of gyration ky of the parabolic area.

A. ky = 76.5 mm
B. ky = 17.89 mm
C. ky = 78.6 mm
D. ky = 28.3 mm

2. 

Determine the inertia of the parabolic area about the x axis.

A. Ix = 11,430 in.4
B. Ix = 32,800 in.4
C. Ix = 13,330 in.4
D. Ix = 21,300 in.4

3. 

The composite cross section for the column consists of two cover plates riveted to two channels. Determine the radius of gyration k with respect to the centroidal axis. Each channel has a cross-sectional area of Ac = 11.8 in.2 and moment of inertia (I )c = 349 in.4.

A. k = 7.74 in.
B. k = 6.29 in.
C. k = 5.44 in.
D. k = 4.25 in.

4. 

The irregular area has a moment of inertia about the AA axis of 35 (106) mm4. If the total area is 12.0(103) mm2, determine the moment of inertia if the area about the BB axis. The DD axis passes through the centroid C of the area.

A. IBB = 5.00(106 ) mm4
B. IBB = 17.00(106 ) mm4
C. IBB = 16.80(106 ) mm4
D. IBB = 55.4(106 ) mm4


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