Moments of Inertia Assignment

Due at the beginning of class on Monday 14

80 mm

170 mm

0

Question 4 (75 marks):

The section is formed from a semicircle (radius = 80 mm) and a triangle (base = 160 mm, height = 170 mm), with a circular hole (radius = 40 mm) removed.

Calculate I_{x}, the moment of inertia about the *x*-axis.

Calculate I_{Cy}, the moment of inertia about the centroidal *y*-axis.

Find the *y* coordinate, y_{bar} , of the centroidal *x*-axis.

Find the *x* and *y* radii of gyration about the *x*- and *y*- axes

Solution: