Section Modulus calculation and optimization

Section Modulus

Section modulus is defined as the ratio of total moment resisted by the section to the stress in the extreme fibre.which is equal to the yeild strength.

Formula

Section Modulus using the 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

Moment of inertia is nothing but offering resistance against of moment, bending or twisting, i.e if we applied any external load on the body, how much resistance its offering to tend to deform

It represents the strength of the section.

• Greater the value of S, greater will be the strength of the section.

It is also often used to determine the yield moment (M_y) such that M_y = S × σ_y, where σ_y is the yield strength of the material.

The outline made for measuring section modulus is given below using intersection curve in both inner and outer pannel

1.Section modulus calculation

S=MOI(Min)/Y

Y=876.665/2

Y=438.332

Therefor ,

S=1.38212727e+04(mm^4)/438.332mm

S1=31.53mm^3

2 Section modulus calculation after increasing cross section(0.5mm)

S=1.417921976e+04(mm^4)/438.332mm

S2=32.35mm^3

Conclusion

We see that section modulus increases while increasing its cross section.S1=31.53mm^3 and S2=32.35mm^3(with increased cross section of 0.5mm).