Section Modulus calculation and optimization
AIM:
Use the Section from Hood design and calculate the Section Modulus using the formula
S = I/y. Also, try to improve section Modulus.
OBJECTIVE:
To find the section modulus of the hood and optimization to improve the overall section modulus.
SECTION MODULUS:
- Section modulus is a direct measure of strength of any sectional area of an object about a reference axis (neutral axis).
- Strength is nothing but, capable of supporting greater loads, so higher the strength it has a highly capable of supporting greater loads.
- This strength can be measured directly from Section modulus formula, and defined by below formula.
- Section modulus represented with a symbol of 'S'.
S=I/Y
where, 'I' 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 neutral 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.
CASE 1
MOMENT ON INERTIA
MAX=1.550381497e7 mm^4
MIN=9.526173711e4 mm^4
Y= 484.8808 mm
S MAX=31,974.487 mm^3
S MIN= 196.464 mm^3
CASE 2
In second case I offset the inner panel curve by 1 mm
MOMENT ON INERTIA
MAX=1.541477825e7 mm^4
MIN=1.014607625e5 mm^4
Y= 484.8808 mm
S MAX=31,790.861 mm^3
S MIN= 209.248 mm^3
Conclusion:
Hence when comparing case 1 & case 2,
- The section modulus(min) value of case 2 is higher than the case 1
- As we increase the section area, the moment of inertia & section modulus increases which means strength and load material also increase