Section Modulus calculation and optimization

The Section Modulus:-

The section modulus is a concept in structural design that measures the bending strength of a cross-section. It plays an important role in determining the stability and load-carrying capacity of beams and columns. It depends on cross-sectional dimensions such as height and width.

Formula

S = I/y

Where,

S = Section Modulus

I = Moment of Inertia

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

1st CASE

Hood Thickness Information

• Outer Panel Thickness = 0.75mm
• Inner Panel Thickness = 0.75mm
• Reinforcement Thickness = 1.5mm

The calculation for section modulus,

We consider the MOI (Min) to understand what is the

I (Max) = 2.500049219e x 10⁶ mm⁴

I (Min) = 8.750351563e x 10⁵ mm⁴

Y = 942/2 = 471 mm

S_Max = 2.500049219e x 10⁶ / 471 = 14428.5316 mm³

S_Min = 8.750351563e x 10⁵ / 471 = 5050.0895 mm³

2nd CASE

Hood Thickness Information

• Outer Panel Thickness = 0.5mm
• Inner Panel Thickness = 0.5mm
• Reinforcement Thickness = 1mm

The calculation for section modulus,

We consider the MOI (Min) to understand what is the

I (Max) = 1.333340800e x 10⁶ mm⁴

I (Min) = 4.666720000e x 10⁵ mm⁴

Y = 942/2 = 471 mm

S_Max = 1.333340800e + 10⁶ / 471 = 7695.1084 mm³

S_Min = 4.666720000e + 10⁵ / 471 = 2693.3036 mm³

Comparing case 1 and 2

percentage decrease in optimised one= 2693.3036/5050.0895 *100= 53.33%

CONCLUSION

• By comparing the values we can clearly say that the section modulus of the optimized hood decreases by 53.33%
• moment of inertia decreases by decreasing depth of hood.
• it seems if we increase the gap between inner and outer panel moi also decreases.