Section Modulus calculation and optimization

Section modulus: 

It is defined as the ratio of area moment of inertia about the neutral axis and to the distance of outermost fiber from neutral

axis .

 Formula  , S= I/Y

S = Section Modulus

I = Moment of Inertia

y = distance between the neutral axis and the extreme end of the object 

Here we just find the section modulus for the hollow section of the hood by 2 times that is designed cross section of hood and modified cross section of hood the image and the files are attached below .

Designed cross section of hood :

 

The length

s=?

I = moment of inertia (min value )

i.e 2.85534989e+05[mm^4]

y =  distance between the neutral axis and the extreme end of the object 

total length=879.5639/2

answer =439.5mm

Formula :

S=I/Y

S1= 285534.989mm^4/439.5mm

S1= 649.68mm^3

The designed section modulus is S1= 649.68mm^3

MODIFIED CROSS  SECTION OF DESIGNED HOOD :

The cross section is modified for design hood by the process of projecting the designed cross section of the sketch after that we have to offset the inner panel sketch upto 0.5mm thickness to the inner side of inner panel after that we have trim or make corner for the connection sketch of outer panel and modified inner panel .After completing we have to find the section modulus of cross section .The calculation are shown below 

 Formula  , S= I/Y

S = Section Modulus

I = Moment of Inertia

y = distance between the neutral axis and the extreme end of the object 

here 

s=?

I=moment of inertia (min)

i.e.2.900579803e+05[mm^4]

y =  distance between the neutral axis and the extreme end of the object 

total length=879.5639/2

answer =439.5mm

S2= 290057.980mm^4/439.5mm

S2=659.97mm^3

The modified section modulus is S2=659.97mm^3

conclusion :

1.S1= 649.68mm^3

2.S2=659.97mm^3

By comparing the S1 and S2 the section modulus value of S2 is greater than S1 .As we increase the section area, the moment of inertia & section modulus increase which means strength and loadmaterial also increase. Which the moment of inertia directly proportional to the strength of the material.