Take that a = 210 mm and b = 340 mm Part A Determine the moment of inertia of th

Question

Take that a = 210 mm and b = 340 mm Part A Determine the moment of inertia of the beam's cross-sectional area about the centroidal z axis (Figure 1) Express your answer to three significant figures and include the appropriate units. Iz= Value Units Figure 1 of 1 X Submit Ans Part B Determine the moment of inertia of the beam's cross-sectional area about the centroidal y axis 30 mm Express your answer to three significant figures and include the appropriate units. d1 30 mm Ty= Value Units 30 mm 30 mm Submit

Explanation / Answer

Answer part A

Ix= 2*(30*(a^3)/12)+2*((b*30*30*30/12)+(b*30*(0.5a-15)^2)) mm4 = 5a^3 + 4500b + 60b(0.5a-15)^2 mm4

a= 210 mm and b= 340 mm

Thus Ix= 213075000 mm4

Part B

Iy= 2*((a*30*30*30/12)+(30*a*(0.5b+15)^2)) + 2*(30*(b^3)/12) mm4 = 628700000 mm4

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