Section Modulus calculation and optimization

AIM -

To find the section modulus of the hood and optimisation to improve the overall section modulus.

SECTION MODULUS -

Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members, it is also referred to as the Polar Modulus or the Torsional Sectional Modulus.

S=I/Y

S = Section modulus

I= Moment of Inertia

Y= Distance from Neutral axis to the extreme end

First design study (Before optimization)-

The Intersection of the design was taken and then section Inertia Analysis was done-

Max MOI - 7.949683717e+05

Min MOI - 3.891453049e+03

As per the section modulus equation,

S = I/Y

I = Min MOI = 3.891453049e+03 mm^4

Y = Total distance /2 = 484.2 mm

therrfore,

S = 8.0368 mm^3

Second design study (After optimization)-

The hood inner panel’s curve is offset by 1 mm outwards and section inertia analysis is done same as case 1 for a closed curve.

Max MOI - 8.018333742e+05

Min MOI - 4.25927242e+03

As per the section modulus equation,

S = I/Y

I = Min MOI = 4.25927242e+03 mm^4

Y = Total distance /2 = 484.2 mm

therrfore,

S = 8.796 mm^3

Conclusion -

So, here the difference can be seen in the moment of inertia and the change in the section modulus can be seen by the change in the design(depth).