Section Modulus calculation and optimization
Section Modulus calculation and optimization
Aim: To find the section modulus of the hood and optimization to improve the overall section modulus
Objective: Use the section from your Hood design and calculate the section modulus using the formula
S= I/y.
Section modulus (S) = Moment of inertia (I) / Distance between neutral axis and the extreme end of the object (Y)
Bending stress / Distance between neutral axis and extreme end of object = Bending moment / moment of inertia
* If section modulus increases the moment of resistance increases and hence its load bearing capacit
Formula of section Modulus:
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).
Calculation:
Case 1: Before Optimization
The hood which was already created is imported and the section inertia analysis is done.
make sure that the curve obtained is a single/closed curve.
the intersection of the design is taken for calculation
here M1 is min value and m2 is max value
I (MIN) =1.4169e-06mm^4
As per the section modulus equation,
S = I/Y
I = MOI (min) Value is considered
Y = Total distance / 2, Total distance = 479.683mm
Y =479.683 / 2
= 239.8415 mm
Therefore, S =1.4169e-6mm^4 / 239.8415 mm
S=590.765mm^3
Case 2: After Optimization
The hood inner panel’s curve is offset by 0.5mm outwards and section inertia analysis is done same as case 1 for a closed curve.
I (MIN) = 1.47677e-06 (mm^4)
As per the section modulus equation,
S = I/Y
I = MOI (min) Value is considered
Y = Total distance / 2, Total distance = 875.7184 mm
Y = 479.683 / 2
= 239.8415 mm
Therefore, S = 1.47677e-06mm^4/239.8415mm
S = 615.727 mm^3
Conclusion:
Resulting by comparing case 1 & case 2,
- The section modulus value of case 2 is higher than the case 1
- As we increase the section area, the moment of inertia & section modulus increase which means strength and load material also increase. Which the moment of inertia directly proportional to the strength of the material.