Section Modulus calculation and optimization

SECTION MODULUS OF AN HOOD

• Section modulus is a direct measure of strength of any sectional area of an object about an reference axis(neutral axis).
• Strength is nothing but, capable of supporting greater loads, so higher the strength it has a high capable of supporting greater loads.
• This strength can measured directly from Section modulus formula, and defined by below formula.
• Section modulus represented with a symbol of 'S'.

S=I/Y (where 'I' is the moment of inertia & 'Y' is the distance from the reference line(neutral axis) to one of the extreme end of an 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.
• So, higher the value of moment of inertia , have higher resistance to deform under certain load, hence we can say that moment of inertia directly proportional to the strength of the material , and strength of the material can be calculated with the help of section modulus.
• If we vary the neutral axis towards positive or negative side the overall strength of the body will decrease , because when nuetral axis line lies on the middle of the section only have higher strength at particular point, so, here 'Y' value was inversely proportional to section modulus.

• I obtained the values of

  I_MAX:-5.104974343e+06mm⁴

  I_min:-1.679439048e+04mm⁴

• Total length of 'Y' value was 750.8768mm

  So,at neutral axis we need 'Y' value:-Y/2=750.8768/2=375.43mm

  1)Section modulus(S):-I/Y=5.104974343e+06mm⁴/375.43mm

  =0.13597X10³mm³(Maximum strength).

  2) Section modulus(S):-I/Y=1.679439048e+04mm⁴/375.43mm

  =0.0044x10³mm³(minimum strength).

  So the strength of an hood varies from 0.0044x10³mm³to 0.13597X10³mm³