10-27. Determine the distance y to the centroid of the beam's cross-sectional area; then find the moment of inertial about the x' axis. *10-28. Determine the moment of inertia of the beam's cross-sectional area about the x axis. 10-29. Determine the moment of inertia of the beam's cross-sectional area about the y axis. 1 in. 6 in. C 1 in. 2 in. 4 in.

Determine the distancey to the centroid for the beam's cross-sectional area; then determine the moment of inertia about the x' axis. 25 mm 25 mm 50 mm -75 mm C -75 mm- 50 mm 100 mm 25 mm -X

The area of the green section is 13,222 mm-. It has the following moments of inertia with respect to the x- and y-axes: I, = 344 × 10° mm* and I, = 507 x 106 mm4. X. y y' 100 mm 119 mm Determine the centroidal moments of inertia I, I,, and , in mm* and the corresponding radii of gyration k, k, 'x" y'" X"'y" and k, in millimeters. 4.7e+06 X 2.12e+08 mm4 mm 4 mm k mm = mm mm

Determine the Rotation at C and Maximum Deflection using Double Integration Method