Moments of Inertia Assignment

Due at the beginning of class on Monday 14

(0, 0)

253 mm

133 mm

30 mm

Question 5 (30 marks):

A W200×21 steel beam has a 133 mm × 30 mm steel plate welded to its top flange. The depth of the beam is 253 mm, the cross-sectional area of the beam is 2710 mm^{2}, and the moment of inertia of the beam about its centroidal x-axis is 19.8 × 10^{6} mm^{4}.

Find y_{bar}, the y-coordinate of the centroidal x-axis of the composite area relative to the origin.

Find I_{Cx}, the moment of inertia of the composite area about its centroidal x-axis.

Solution: