Section Modulus calculation and optimization

INTRODUCTION

To generate the report on finding the section modulus for the hood design and improving it by based on the input and increasing the strength of the hood by using the software NX-CAD.

OBJECTIVES

The main objective of the project is to design a HOOD using Siemens NX-CAD.

Section Modulus:

It 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 shape.

There are two types of section modulus,

1. The elastic section modulus
2. The plastic section modulus

Section Modulus can be calculated by using the Formula:

S=I/y

Where,

S-Section Modulus I- Moment of inertia

y- Distance from the neutral axis to the most extreme end of the object

SECTION MODULUS CALCULATIONS

Section 1:

Calculating section modulus for the hood design:

I_max – 8.254477882 x 10^5 (mm^4)

I_min – 7.890008392 x 10^3 (mm^4)

Y = Total length / 2

= 483.903/2

=241.951 mm

Section modulus for max.= I/Y

= 8.254477882 x 10^5 / 241.951

= 3.4116 x 10^3 mm^3.

Section modulus for min.= I/Y

= 7.890008392 x 10^3 / 241.951

= 0.0326 x 10^3 mm^3.

So for this hood design section modulus range from 3.4116 x 10^3 to 0.0326 x 10^3 mm^3.

Section 2:

Calculating section modulus by changing the dimensions of the hood design:

I_max – 8.395540551 x 10^5 (mm^4)

I_min – 8.937608855 x 10^3 (mm^4)

Y = Total length / 2

= 483.903/2

=241.951 mm

Section modulus for max = I/Y

= 8.395540551 x 10^5 / 241.951

= 3.469 x 10^5 mm^3.

Section modulus for min = I/Y

=8.937608855 x 10^3 / 241.951

= 0.0369 x 10^ mm^3.

So for this hood design section modulus range from 3.469 x 10^3 to 0.0369 x 10^3 mm^3.

It is evident that if the section modulus is increased from 3.4019 x 10^3 mm^3 to 3.410449 x 10^3 mm^3 by increasing the sectional area.

Conclusion

Strength of material is directly proportional to the moment of interia, thus increasing the sectional area increase the increases strength of component.

Thus sectional modulus for hood design is calculated and optimized design is also done to increase the section modulus of the hood.