Section Modulus calculation and optimization
Title: Calculation of section modulus and optimization of hood inner and outer panel to increase strength.
Objective:
The objective of this project is to calculate the section modulus of previously designed hood and to improve the strength by modifying the sketch of the panel.
Introduction :
Section Modulus :
Section modulus is a geometric property.In that Elastic section modulus is the ratio of area moment of inertia about a neutral axis (I) and the maximum distance between the neutral axis and outermost fiber of beam (Y).
S = I/y
Where,
S = Section Modulus
I = Area Moment of Inertia
y = Distance between the neutral axis and the extreme end of the object.
-It is the direct measure of the strength of the section or the beam section. Higher the section modulus of a structure, the more the resistive it becomes to bending.
-For symmetric sections the section modulus will be same for both above and below the centroid and for assymetric sections there are two Section Modulus values Smax and Smin along the both axis distance to the outermost fibre.
1.Section Modulus Of Initial Hood Design :
From the above analysis we can calculate the section modulus by using the formula S=I/y
We know that Imax = 4.881 x 10^6 mm^4
Imin = 1.4073 x 10^4 mm^4
Distance from neutral axis to extreme most fibre (y) = 487.23 mm
Smax = I/y = 4.881 x 10^6/487.23 = 10,017.856 mm^3
Smin = I/y = 1.4073 x 10^4/487.23 = 28.883 mm^3
2.Design Of Improved Section and calculation of Section Modulus :
We know that Imax = 4.9147 x 10^6 mm^4
Imin = 1.4623 x 10^4 mm^4
Distance from neutral axis to extreme most fibre (y) = 487.23 mm
Smax = I/y = 4.9147 x 10^6/487.23 = 10,087.022 mm^3
Smin = I/y = 1.4623 x 10^4/487.23 = 30.0125 mm^3
Conclusion :
-From the above cases of section modulus we clearly see the increse in the value from the improved model by
-So by this we can say the strength of improved hood design is higher than the older one.
-Here we have increased the surface area of the section by offsetting the inner panel distance by 0.5mm.By this calculation we can say that Section modulus is directly propotional to Area of the section.