Section Modulus calculation and optimization

SECTION MODULUS OF HOOD

• Section modulus is defined as the ratio of moment of inertia of a section about the neutral axis to the distance of the outermost layer from the neutral axis.
• It is the direct measure of the strength of the shaft section or the beam section. Higher the section modulus of a structure, the more resistive it becomes to bending.

           Mathematically it is expressed as

           S=I/Y       

           Where,    S= Section Modulus

                          I= Moment of inertia

                          Y= Distance from neutral axis to extreme end  

Moment Of Inertia

• The moment of inertia (I) is the capacity of a cross-section to resist bending, when it is subjected to an external load.
• Higher the value of moment of inertia , higher will be the resistance to bend under the applied load.
• It is directly proportional to the strength of the material, which can be calculated through section modulus.

Section Modulus of the Various cross sections are given below in the following table:

Type	Section	Section Modulus S= I/Y
Rectangle
Circle
Doubly symmetric I-section (major axis)
Doubly symmetric I-section (minor axis)
Circular hollow section
Rectangular hollow section

Section Modulus Calculation Of the Hood Design

Case 1: Section Modulus For the Designed Hood

Here the section modulus is calculated by taking the intersection 

Case 2 : Section Modulus for the Modified Hood Design

Here the some additional emboss structures were created to calculate the section modulus

Conclusions

• The strength of the section increases with increase in area in both maximum and minimum value.
• By evaluating the above cases , we can say that moment of inertia is directly proportional to the strength of the material.