Section Modulus calculation and optimization
Aim:
To find the section modulus of the hood and optimize the design to improve the overall section modulus.
Objective:
Use the section from the Hood design and calculate the section modulus using the formula S= I/y.
Section Modulus:
The section modulus (S) is geometry property of the cross section used for designing beams and flexural members. It does not represent anything physically.
Formula to find Section Modulus:
It may be defined as the ratio of total moment resisted by the section to the stress in the extreme fibre which is equal to yield stress.
Which is equal to yield stress.
Therefore
S = I/Y ,
Where
S = Section Modulus (mm^3),
I = Moment of Inertia of the section to the stress in the extreme end of the object (mm^4),
Y = Distance between the neutral axis and extreme end of the object (mm).


Minimum moment of inertia = I = 2.85321099e+05[mm4]
Y = distance between the neutral axis and the extreme end of the object = 875.8249mm/2 = 437.91245mm
Section Modulus = S = I/Y = 2.8531099e+05/437.91245 = 651.525mm3