Section Modulus calculation and optimization

Section Modulus calculation and Optimization

Objective: To calculate the section modulus of the hood and optimize it by making changes in the crossection.

Section Modulus definition: Section Modulus is the geometric property of the given cross-section of any shaft or beam structures. It is the direct measure of the strength of the shaft section or the beam section. Higher the section modulus of a structure, the more the resistive it becomes to bending.

Formula:

S=I/Y, where

S- Section modulus (mm^3).

I- Moment of inertia of the section about the bending axis (mm^4).

Y- Distance between the neutral axis and the extreme end of the object (mm).

Case 1:

S=I/Y

I= MOI (min) = 266736mm^4.

Y= Total distance/2 = 874.6991/2 = 473.34mm.

S= 266736/473.34 = 563.518mm^3.

Case 2: By offsetting the inner panel curve outwards by a distance of 0.5mm we get a new, increased crossectional area.

Again,

S=I/Y

I= MOI (min) = 269174mm^4.

Y= Total distance/2 = 874.6991/2 = 473.34mm.

S = 269174/473.34 = 568.66mm^3.

Observation: By comparing the values of Section modulus, S in case -1 and case-2 we can conclude that by increasing the surface area the value of Section modulus, S, has increased. Thus, increasing the strength of the hood.