ZZ1001D- Engineering Mechanics
Assignment- properties of surfaces
1.
Determine the moment of inertia of the Z
section about its centroidal x0 and y0 axis
Ans:
2.
Ix0 = 22.6 x106 mm4
Iy0 = 9.81 x106 mm4
Determine the moment of inertia of the
shaded area with respect to the y axis.
Ans:
3.
Calculate the polar radius of gyration of the
shaded area about its centroid C.
Ans;
kc = 261 mm
4.
Calculate the maximum and minimum
moments of inertia of structural angle about
axes through its corner A and find angle 
measured counterclockwise from the x-axis
to the axis of maximum moment of inertia.
Neglect small radii and fillet.
Ans:
Max= 1.782 x106 mm4
Min= 0.684 x106 mm4
=13.4 °