Section Modulus calculation and optimization

Aim:-

• Calculate the Section Modulus of the Hood design by considering a Section of it.
• Comparison of Section Moduli of the sections before and after improving its Area Moment of Inertia.

Theory:-

Section Modulus (S):- It is defined as the ratio of the Area of Moment of Inertia of a component to the distance of its extreme fibre from the Neutral Axis.

Mathematically,

                                      S = I / Y  

where, I - Area Moment of Inertia represents the resistance towards bending due to its cross-section.

Y – Distance of the extreme fibre from the neutral axis.

Calculation of Section Modulus of Hood:-

Case 1:-   

Note:-While calculating the Section Modulus of any component, we always consider the Minimum value of the Area MOI for the Factor of Safety.

Y = 880 mm (as shown below)  

Here in this,        

                                                                S1 = 338.3 mm^3                                       

Case 2:-

• Improving the MOI (Min) by making modifications in the distance between the Hood INR and the OTR panel increased the Section Modulus (S2). 

                                                                   S2 = 343.29 mm^3  

Conclusion:-

• Since, S2 > S1, our Bending resistance or Bending Moment increases in Case 2, ultimately increasing the Hood's Strength.