Section Modulus calculation and optimization

SECTION MODULUS

Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

Other geometric properties used in the design include an area for tension and shear, the radius of gyration for compression, and moment of inertia and polar moment of inertia for stiffness. Any relationship between these properties is highly dependent on the shape in question. It is termed as the ratio of the second moment of inertia and distance from NA (Neutral axis) to the extreme fiber. Also, it is the measure of the strength of a given member. The stress in the outermost section of the beam is

computed with the help of section modulus. It is indicated by S

Section modulus is indicated as follows

S Section Modulus

S New

1= Moment of inertia

y distance between the neutral axis and the extreme end of the object

First analyse the base section.

INITIAL SECTION OF HOOD

CALCULATION

m1=1.949*10^-6m^4

m2=7.011*10^-4m^4

convert to mm:(*10^12)

m1=1.949*10^3mm^4

m2=7.011*10^5mm^4

SECTION MODULUS

s=i/y

=1949000/441.8445

s=4411.054mm^3

OPTIMIZATION CALCULATION

CALCULATION

m1=2.049*10^-6m^4

m2=7.316*10^-4m^4

CONVERT TO mm:(*10^12)

m1=2.049*10^3mm^4

m2=7.316*10^5mm^4

SECTION MODULUS

s=i/y

=2049000/441.8445

s=4637.37mm^3

THE SECTION MODULUS TABLE

INITIAL OPTIMISATION

4411.054mm^3 4637.37mm^3

CONCLUTION

After the analysis the moment of inertia has been calculated