Section Modulus calculation and optimization

SECTION MODULUS

 Section modulus is  measure of the structural strength of beam or other structural shapes , it is the ratio of the moment of inertia of given section to the distance of the extrem fibers from the netural axis , in other words  it measure ablity of cross section of material to resist bending.

S- section modulus

I- moment of inertia

Y- distance between netural axis to external end object.

 S=I/J

A higher section modulus is generally considered better , as it indicates a greater amount of strength and stiffness.

SECTION MODULE 

 

                                  

HERE

 Y = 481.891/2

     =240.94 mm

M = 5.184*10^-7 m^4

    = 5.184*10^5 mm^4

S=M/Y

    = 5.184*10^5 mm^4/240.94 mm

 S1= 2151.15 mm^3

After change in design section modulus will be.

  

HERE

 Y = 481.891/2

     =240.94 mm

M = 5.494*10^-7 m^4

    = 5.494*10^5 mm^4

S=M/Y

    = 5.494*10^5 mm^4/240.94 mm

 S2= 2280.23 mm^3

CONCULUSION

Comparing the S1  and S2 

  S2 > S1

2280.23 mm^3 > 2151.15 mm^3

The S2 is a considered better , as it indicates a greater amount of strength and stiffness.