Challenge

Section Modulus calculation and optimization

Introduction :

Section Modulus is the measure of strength of any cross sectional area of the object about an neutral axis. Section modulus is also called as torsional section or polar modulus.
Moment of inertia is the measure of resistance of the object against the bending, twisting or torsional moments , thus moment of interia increase with the strength of the material

Formula :

Section Modulus s = I/Y

Moment of Inertia :

Case 1 : Section Modulus for Hood Design

Moment of inertia for the section will be calculated using the software NX CAD.

I max = 4.8676*10^6 mm4

I min = 1.5389*10^4 mm4

so Section Modulus

Smax = I/Y = 21.133*10^3 mm3

Smin = I/Y = 0.068*10^3 mm3

From this study the strength of the hood varies from 0.06283*10^3 mm3 to 19.873*10^3 mm3

Case 2 : Section Modulus for Modified Hood Design

Thus the inner surface of the hood is offsetted by 1mm to calculate the change in Inertia.

I max = 4.8869*10^6 mm4

I min = 2.5615*10^4 mm4

so Section Modulus

Smax = I/Y =21.232*10^3 mm3

Smin = I/Y =0.104*10^3 mm3

Conclusion :

Thus the strength of the section incease with increase in area in both the minimum and maximum values.
Thus the strength of the material is increased by increase in cross sectional area and it also depends upon the composition of material, thickness of layers.
Thus Momemt of Inertia has directly Proportinal relationship with the stregth of the material is evaluated through this study.

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