Section Modulus calculation and optimization

Section Modulus calculation and optimization

To increase the section modulus of a given hood by necessary changes

INTRODUCTION

Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.Other geometric properties used in design include area for tension and shear radius of gyration for compression and moment of inertia and polar moment of inertia for stiffness. Any relationship between these properties is highly dependent on the shap in question. Equations for the section modul of common shapes are given below.

                  

Z= Section modulus

I= Area moment of inertia

Y= Distance from neutal axis to the outer most fiber of a material

Area moment of inertia - it signifies the tendency of cross ection to resist. Greater its value greater is its tendency to resist bending . it is given by -

ELASTIC SECTION MODULUS

The elastic section modulus is used in the design application of structural member which determines the resistance to bending as within elastic limit as per the stress-strain curve.

The failure of the component is considered in the elastic region.

                                            

EXISTING HOOD SECTION

Results obtained are as follows

I= 5.27x10⁴ mm⁴

Y= 476.5 mm

S= I/Y

S= section modulus

I= minimum principal moment of inertia

Y= Distance of the outer most fibre from neutral axis.

S= 1105.98 mm³

MDIFIED SECTION 

By incorporating more embosses and increasing our moment of inertia because according to formula of moment of inertia more the distance of area from neutral axis greater will be its inertia so keeping that thing.

                                               

Results

I= 5.62x10⁴ mm⁴

Y= 476.5 mm

S= I/Y

S= 1179.43 mm³