
1 . 

The irregular area has a moment of inertia about the AA axis of 35 (10^{6}) mm^{4}. If the total area is 12.0(10^{3}) mm^{2}, determine the moment of inertia if the area about the BB axis. The DD axis passes through the centroid C of the area.


2 . 

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


3 . 

Determine the radius of gyration k_{y} of the parabolic area.


4 . 

Determine the moment of inertia of the area about the x axis. Then, using the parallelaxis theorem, compute the moment of inertia about the _{} axis that passes through the centroid C of the area. _{} = 120 mm.


5 . 

Determine the location _{} of the centroid C of the beam's crosssectional area. Then compute the moment of inertia of the area about the _{} _{} axis.


6 . 

Determine the moments of inertia I_{x} and I_{y} of the shaded area.


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 _{} _{} axis. Each channel has a crosssectional area of A_{c} = 11.8 in.^{2} and moment of inertia (I _{})_{c} = 349 in.^{4}.


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