Moments of Inertia - General Questions

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Moments of Inertia - General Questions

pg10-1

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

Answer: Option B

Explanation:

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pg10-7

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 xbar (1) axis. Each channel has a cross-sectional area of A_c = 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.

Answer: Option A

Explanation:

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pg10-2

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

Answer: Option A

Explanation:

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pg10-3

Determine the radius of gyration k_y of the parabolic area.

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

Answer: Option B

Explanation:

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Moments of Inertia - General Questions

Moments of Inertia - General Questions

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