Section Modulus calculation and optimization

SECTION MODULUS AND OPTIMIZATION

SECTION MODULUS

The section modulus(S) is geometric property of the cross section used for designing beams and flexural members.it does not represent anything physically.

Formula of section modulus it may be defined as the ration of total moment resisted by the section to the stress in the extreme fibre which is equal to yield stress.

there fore

S=I/Y, were

s= section modulus (mm^3)

I=moment of inertia of the section about the bending axis.(mm^4)

Y=Dstance between the neutral axis and extreme end of the object.(mm)

CALCULATION

CASE:1 SECTION MODULUS

The hood which was already created is importedand the section inertia analysis is done.

MOI(MAX)=4.785930689e+06[mm^4]

MOI(MIN)=1.468744679e+04[mm^4]

S= I/Y

I=MOI(MIN) value is considerd

Y=Total distance /2

Y=875.5680/2

=437.784mm

s=1.4687744679 mm^4/437.437.784mm.

s=0.003361mm^3

CASE 2:

The hood inner panel curve is offset by 0.5 mmoutwards and section inertia analysis is done sane s case 1 for a closed curve.

MOI (MAX)=6.845490043e+06[mm^4]

MOI(MIN)=2.18097477e+04[mm^4]

S= I/Y

I=MOI(MIN) value is considerd

Y=Total distance /2

Y=875.5680/2

=437.784mm

s=2.180974778 mm^4/437.437.784mm.

s=0.00498185mm^3

conclusion:

Section modulus is directly dependent on the area moment of inertia and the distance from the neutral axis. Hence, to improve the geometry of the carry more bending load, the section modulus can be improved by increasing the area MOI of a given section.