Question

As shown, an I-beam (Figure 2) has a bottom flange that is 400 mm x 80.0 mm, a web that is 80.0 mm x 400 mm and top flange that is 200 mm x 80.0 mm Determine the moment of inertia of the l- beam about the horizontal centroidal axis using the parallel-axis theorem. Express your answer to three significant figures and include the appropriate units. P View Available Hint(s) TiA ? LI_x= Value Units Submit Previous Answers Request Answer

Answer 1

200mm (3) 80mm 80mm Loomm 2 0 80 mm + Reference f a: 400mm Let us first find T= A. YI + A₂Yz + AzTz Al + A2 TA₃ Y = 400 x 80 X 40 t 400 x 80 x:280 + 200 x 804520 400 x 80 + 400 x 80 t 200 80 Y = = 232 mm Coordinate of centroid is = că, y) = (200, 232) Moment the Inertia I-beam about the of horizontal centroidal aris. we will use parallel anis theorem, given by g 2 Iany Ixt - Icot A axis Itz Ix= Ix, + Ixt

) C 3 Iq = (5xx, +4,0+ +48 + 4,7%) +Chwyty ?) EL (40 + 400x80 x( 232-403) + I z bhi A for rectangular Section 12 b 3 80XH00 + 80X400 Ix ) 3 400 x 80 12 12 x(232-280) 3 200 X 80 + + 200 x 80 x 200*80 * (232-52013 12 I = 3032746667 mm" Answer. 4 mm Ins 3033 X 106
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