Challenge

Section Modulus calculation and optimization

Section Modulus calculation and optimization

Section Modulus:

  • 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 are 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 in question.

  • There are two types of section modulus, the elastic section

modulus and the plastic section modulus.

The elastic section modulus is defined as S = I / y, where

S = Section Modulus

I = Moment of Inertia

Y = Distance between the neutral axis and the extreme and of

the object.

Section Modulus Calculation:

Case 1:

Calculating the section modulus for the hood design.

Maximum moment of inertia = 8.471598737e+05[mm^4]

Minimum moment of inertia = 6.314735429e+03[mm^4]

The total distance of the hood Y = 488.5716 mm

To find section modulus, we have to calculate

S = I[minimum]/Y

S = 6.314735429*10^4/488.5716

S = 12.9248mm^3

Case 2:

Calculating the section modulus by changing the dimensions of

the hood design.

Maximum moment of inertia = 8.495139244e+05[mm^4]

Minimum moment of inertia = 7.400341542e+03[mm^4]

The total distance of the hood Y = 488.5716 mm

To find section modulus, we have to calculate

S = I[minimum]/Y

S = 7.400341542*10^4/488.5716

S = 15.1468mm^3

Results:

Case 1:

S = 12.9248mm^3

Case 2:

S = 15.1468mm^3

The difference between case 1 and case 2 is the varying

distance between the hood inner panel and outer panel.

So, the moment of inertia has been increased and the strength

of the hood also increased.

Conclusion:

This calculation is necessary to know the design actual

withstand capability of product. As we increase sectional area,

the moment of inertia and section modulus increases it means

capacity of material also increases.

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