Section Modulus calculation and optimization

Aim: To calculate the section modulus of the hood and optimize it to improve the section modulus.

Introduction: Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members. Other geometric properties used in design include area for tension and shear, radius of gyration for compression, and moment of inertia and polar moment of inertia for stiffness.

The section modulus of the cross-sectional shape is of significant importance in designing beams. It is a direct measure of the strength of the beam. A beam that has a larger section modulus than another will be stronger and capable of supporting greater loads.

Calculation of section modulus

To calculate the section modulus, the following formula applies:

where I = moment of inertia, y = distance from centroid to top or bottom edge of the rectangle

For symmetrical sections the value of Z or S is the same above or below the centroid.

Hood Material is Stainless Steel AISI 302 - cold-rolled -520MPA section is considered as hood cross section

Initial

Above is the hood design. we are calculating the section moduls of the designed hood.

The values are displayed.

I(max)=812730.1772mm^4

I(min)=3362.764139mm^4

y=489mm

S(max) = I(max) / y => 812730.1772/489 = 1662.024902mm^3

S(min) = I(min) / y => 3362.764139/489 = 6.87681828mm^3

Optimized

For the optimization have incresed the embosses with the minimum lenght with new creation.

I(max) = 814607.4019mm^4

I(min) = 3519.039002mm^4

Y = 489mm

S(max) = I(max)/Y => 814607.4019/489 = 1665.863808mm^3

S(min) = I(min)/Y => 3519.039002/489 = 7.196398mm^3

Conclusion:

By comapring the Initial and Optimised values we can say that model is optimised at a little modification and mechanical ehaviour of the optimised value is better than initial. Hence, moment of inertia has to be incresed.