Section Modulus calculation and optimization

OBJECTIVE : To improve the section modulus of Hood by changing the cross section.

INTRODUCTION : Section Modulus is defined as the ratio of the Second Moment of Inertia to the Distace between the Neutral Axis and the end point of the section.

S = I/y

I - Moment of Inertia

y - Distance between neutral axia and end of the object

SECTION MODULUS CALCULATION

Section#: 1
Type: Hollow
CG: (0.001124192, 742.450768007, -931.887925843) [mm]
MOI (Max):4.770798694e+06[mm^4]
MOI (Min):1.540393782e+04[mm^4]
Principal Directions:
Max: (0.000000575, 0.985080761, 0.172092692)
Min: (1.000000000, 0.000001337, -0.000010997)
Section Length:3.612177187e+03[mm]
Section Area:72.243578262[mm^2]

S(max) = (4.770798694e+06)/(439.9729) mm^3

            = 10843.3650488 mm^3 

S(min)  = (1.540393782e+04)/(439.9729) mm^3

            = 35.0110184238 mm^3

Section#: 2

Type: Hollow
CG: (0.001461809, 742.353904352, -931.904847837) [mm]
MOI (Max):4.819629018e+06[mm^4]
MOI (Min):1.690673290e+04[mm^4]
Principal Directions:
Max: (0.000000734, 0.985080761, 0.172092692)
Min: (1.000000000, 0.000001181, -0.000011024)
Section Length:3.624791379e+03[mm]
Section Area:72.495852674[mm^2]

S(max) = (4.770798694e+06)/(439.9729) mm^3

            = 10954.3770037 mm^3 

S(min)  = (1.540393782e+04)/(439.9729) mm^3

            = 38.4267596936 mm^3

Changes made in section 2 : An offset of 1 mm has been made outside in the internal panel to increase the Sectional modulus of the section

CONCLUSION : There is a significant difference in the upper and lower values of Moment of inertia so the section modification has been successful.