Section Modulus calculation and optimization

Section Modulus calculation and optimization

INTRODUCTION

Section of modulus is the geometric property of given cross section used in design flexural member.Other geometric properties include area of tension , shear, moment of inertiaand polar moment of inertia.

OBJECTIVE

To calculate the section of modulus of the design of hood and optimize hood.

To improve the section of hood and calculate the section modulus.

Types of Section Modulus

There are two types of section modulus

• Elastic section of modulus
• plastic section of modulus

DESCRIPTION

Section of modulus is the ratio of moment of inertia of beam section to the netural axis.\

Section of modulus is defined as s=i/y where

I=Moment of Inertia

Y=Distance between the neutral axis and the extreme end of the object.

DESIGN 1 (original design)

From the above analysis following moment of inertia is obtained

S=I/Y

MOI(max):- 4.9097x10^6 mm^4

MOI(min):- 1.4633x10^4 mm^4

Y=414

S(max)=4.9097x10^6/414=11859.17mm^4

S(min)=1.4633x10^4/414=35.34mm^4

DESIGN 2(offset 2.5mm outwards)

The changes that are made are

Boundries have been offseted to 2.5mm outwards for better value of moment of inertia.

From the above analysis following moment of inertia is obtained:-

MOI(max):- 5.0256x10^6

MOI(min):- 1.7412x10^4

Y=414

S=I/Y

S(max)=5.0256x10^6/414=12139.13mm^4

S(min)1.7412x10^4/414=42.05mm^4

TABLE

CASE	SECTION	I(min)mm^4	S(min)mm^4
1	Original	1.4633x10^4	35.34
2	2.5mm offset outwards	1.7412x10^4	42.05

CONCLUSION

From the above results the best MOI is when the section is offseted to 2.5mm outwards so that the strength of the hood is also increased.

And i have also learnt how to perform section of modulus in NXcad software.