Section Modulus calculation and optimization

Objective

the main moto of this challenge is to define and understand the section modulus and how it utilizes in case of BIW fixture design in structural base

Definition of section modulus

• It is the ratio of the moment of inertia to the neutral axis distance from extreme points of the curve.
• it is an idea to understand that how much amount of the load that a structure takes.
• if section modulus increased then moment of inertia also increased for the part.

the mathmatical formule should be considered as follows

S = I/Y

where S = section modulus

I= moment of inertia

Y= neutral ais distance between the extreme points

also here we have a need to calculate the yeild moment i.e

M_y = S Χ Ꞇ_y

_{where S = section modulus}

M_y = yeild moment

S = section modulus

Ꞇ_{y = yeild stress}

_{here yeild stress should be taken as 550 N/mm^2}

were having different section modulus for different types of the shapes those are as follow

SECTION 1

Max moment of inertia = 5.0216866 105 mm4

Min moment of inertia = 878.008 mm⁴

Neutral distance = 250 mm

Maximum moment of the inertia

S= I/Y = 2008.67464 mm³

M_y = 2008.67464Χ550 = 1.10Χ10⁵ N/mm²

Minimum moment of inertia

S= I/Y = 3.6462 mm³

M_y = 3.6462Χ550 = 2005.4463 N/mm²

Minimum moment of inertia

SECTION 2

Max moment of inertia = 4.63781 Χ10⁵ mm4

Min moment of inertia = 1.511567 Χ10³mm⁴

Neutral distance = 250 mm

Maximum moment of the inertia

S= I/Y = 1855.124 mm³

M_y = 2008.67464Χ550 = 1.02Χ10⁵ N/mm²

Minimum moment of inertia

S= I/Y = 60.462 mm³

M_y = 60.462Χ550 = 33254.474 N/mm²

^CONCLUSION

hence the section modulus of the car front hood is calculated using the above criteria and i concluded that the section modulus is increased while we increased the stiffness and the resistance of the hood