Section Modulus calculation and optimization

Aim:

• To calculate the section modulus of the car Hood by taking its crosssection and analyzing the result.
• And to improve the section modulus of the car Hood by altering the Design .

Section Modulus:

• It is the ratio of Moment of Inertia (I) of the beam cross-section about the neutral axis to the distance (y) of extreme fiber from the neutral axis.
• The section modulus of the cross-sectional shape is of significant importance in designing beams. It is a direct measure of the strength of the beam. A beam that has a larger section modulus than another will be stronger and capable of supporting greater loads.

Section Modulus of various crosssection:

Formula for calculating Section Modulus:

S or Z = I/y

S or Z - Section modulus of material

I- Moment of inertia

y- Length of extreme fiber from the neutral axis

Case1: Section Modulus of the Hood Design which was already created:

• MO1 (Max): 4.778970343e+06[mm^4]
• MO1 (Min): 1.532669316e+04[mm^4]

• As per the section modulus equation,

  S = I/Y

  I = MOI (min) value is considered

  Y = Total distance /2

Y=872.4/2 = 436.2mm

S= 1.532669316e+04[mm^4]/436.2 mm

S=35.1 mm^3

Case 2:

• By increasing the distance between the inner panel and outer of the hood by 0.5 mm

• MO1 (Max): 4.918918963e+06[mm^4]
• MO1 (Min): 1.597406542e+04[mm^4]

• As per the section modulus equation,

  S = I/Y

  I = MOI (min) value is considered

  Y = Total distance /2

Y=872.4/2 = 436.2mm

S= 1.597406542e+04[mm^4]/436.2

S= 36.6 mm^3

Conclusion:

• As we Increase the cross section area of the hood ,the section modulus and the moment of interia increases.
• In case 1 S=35.1 mm^3 (Before changing the distance)
• In case 2 S= 36.6 mm^3 (After changing the distance