PROBLEM 9.80 Determine the moments of inertia and the product of inertia of the area of Problem 9.72 with respect to new centroidal axes obtained by rotating the xand yaxes 45° clockwise. SOLUTION From the solution to Problem 9.72 4501.1875 inxyI=22320.25 inAA==First compute the moment of inertia ()( ) ( ) ( ) ( )12323with xxx xxxIII III=++=()()331112 in. 9 in.29 in. 4.5in.1212=+( )44729136.6875 in865.6875 in=and ( ) ( ) ( ) ( ) ( )23with yyyyyyIII=()()229 in. 12 in.24.5 in. 9 in.20.25 in
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