Section Modulus calculation and optimization
Section Modulus:- Section modulus is a geometric property for a given cross-section used in design of beams or flexural members. Section Modulus can also be defined as the ratio of total moment resisted by the section to the stress in the extreme fibre which is equal to yield stress. Also,Section Modulus is the direct measure of strength of a beam. Higher the section modulus higher will be the resistance to bending.
Use the Section from your Hood design and calculate the section modulus using the formula:- S=I/Y, where S=Section Modulus,I=Moment of Inertia and Y=distance between the natural axis and the extreme end of the object
Unit of a '' Secton Modulus'' is mm cube
section modulus cn also be defined by the using simple bending theory as,
we know that, M/I=`sigma/Y
i.e. section modulus is also expressed as the ratio of bending moment of the bending stress. Therefore,Larger the section modulus value larger the resistance of bending
Considering stainless steel AISI302. Therefore,Y=520MPa
Existing Hood Section Modulus:-
Modified Hood Seection Modulus:-
As seen in above figure,in this parent hood design, minimum moment of inertia(MOI) is 1.278172005e+004[mm^4].
As we absorb in above equation of section modulus,
Section Modulus is directly proportional to Moment o Inertia (MOI)
In this new Hood design,
The distance between inner hood and outer hood is increased by 0.7mm.
Minimum Moment of Inertia(MOI) is 1.332338861e+004[mm^4].
So as the MOI increases the secion modulus increases.
MOI of Modified hood is Greater than MOI of parent hood. Therefore, Section Modulus of Modified section is greater than Section Modulus of parent section.
A modification in distance leads to increase in sectional area, result to variation of section modulus between parent and new hood. Therefore there is improvement to resist the bending of Hood.
Conclusion:-
Hence when comparing case 1 & case 2,
1) The section modulus value of case-2 is higher than case-1
2) As we increase the section area, the moment of Inetia & section modulus increases which means strength and load material also increase.