Section Modulus calculation and optimization

Objective: Section modulus calculation and optimization for the hood design.

Introduction:

The “section modulus” is the ratio of the moment of inertia of any part/component, related to the natural axis of the cross section to the distance from the natural axis to the outer most surface of the that system. It is a geometric property for a given cross-section used in the design of any flexural member.

The equation of the section of modulus is:

S=I/Y

Where:

S = section modulus

I = moment of the area of the cross-section (Take the minimum value)

Y = distance from the natural axis to the most outer surface.

Our design- "hood cross-section"

Values for the existing model obtained from the NX-CAD tool

Calculation for the above cross-section :

Section modulus S = I/Y

Here:

I_min = 7.433x10⁰³ mm⁴

Y= 488.859/2=244.43 mm

S=30.40 mm³

Values for the modified model obtained from the NX-CAD tool

Calculation :

Section modulus S = I/Y

Here:

I_min = 7.629x10⁰³ mm⁴

Y= 488.859/2=244.43 mm

S=31.21 mm³

Conclusion: By increasing the cross-section area of the system, moment of inertia can be improved which results in higher value of the section modulus. It provides the higher stiffness of the system.