Section Modulus calculation and optimization

AIM :- To calculate the section modulus of the hood for analyzing it’s strength.

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.

TYPES OF SECTION MODULUS:-

There are two types of section moduli, the elastic section modulus and the plastic section modulus. The section moduli of different profiles can also be found as numerical values for common profiles in tables listing properties of such

Section Modulus Calculation and Optimization:

1. Hood Main Design:

Calculation of Section Modulus of main Hood:

Moment of Inertia (MOI), Imax = 4.813842046 x 10^6 [mm^4]

Moment of Inertia (MOI), Imin = 1.444261561 x 10^4 [mm^4]

Distance between the neutral axis and the extreme end of the object, y = 875.569 mm / 2 = 437.784 mm

Section Modulus, S = Moment of Inertia (MOI), I / Distance between the neutral axis and the extreme end of the object (y)

S = I/y

For Maximum (MOI),

S = ( 4.813842046 x 10^6 mm^4) / (437.784 mm)

S= 10,995.9296 mm^4

For Minimum (MOI),

S = (1.444261561 x 10^4 mm^4) / (437.784 mm)

S= 32.9902 mm^4

2. Hood Optimized Design: 0.5mm change in emboss

Calculation of Section Modulus of Optimized Hood:

Moment of Inertia (MOI), Imax = 4.814489255 x 10^6 [mm^4]

Moment of Inertia (MOI), Imin = 1.444608890 x 10^4 [mm^4]

Distance between the neutral axis and the extreme end of the object, y = 875.569 mm / 2 = 437.784 mm

Section Modulus, S = Moment of Inertia (MOI), I / Distance between the neutral axis and the extreme end of the object (y)

S = I/y

For Maximum (MOI),

S = (4.814489255 x 10^6 mm^4) / (437.784 mm)

S= 10,997.4079 mm^4

For Minimum (MOI),

S = (1.444608890 x 10^5 mm^4) / (437.784 mm)

S= 329.9821 mm^4

Conclusion:

The section modulus of the Front Hood of a car was calculated and compared with the optimized hood and found the better result.