Consider the following cross section with overall height h=4.0 inch, bottom flange plate width b1=3 inch, top flange plate width b2=1.5 inch, and the web and both flange plates have a thickness of t=0.2 inch.
a) Using the coordinate system above, find the y centroid for the cross section in inch. ____________
b) Find the Ix moment of inertia in inch4 . ____________
c) Find the Sx section modulus in inch3 . ____________
d) The section is rotated counter clockwise 15 degrees. Find the rotated Ix’ moment of inertia in inch4 . ____________
e) Find the rotated Ix’y’ product of inertia in inch4 . ____________