Section Modulus calculation and optimization

SECTION MODULUS OF THE HOOD

Section Modulus:

The section modulus (S) is geometric property of the cross section used for designing beams and flexural members. It does not represent anything physically.

Formula of Section Modulus: It may be defined as the ration of total moment resisted by the section to the stress in the extreme fibre which is equal to yield stress.

S = I/Y, Where

S = Section modulus

I = Moment of Inertia of the section about the bending axis.

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

Area moment of Inertia:

The area moment of inertia of a beams cross sectional area measures the beam ability to resist bending. The larger the moment of inertia less will be the bend.

Where,

M = Bending moment

I = Area moment of Inertia

E = Youngs modulus

R = Radius of gyration

case 1

calculation

MOI (min) = 5.123

As per the section modulus equation,

S = I/Y

I = 5.123

Y = Total distance /2, Total distance =491.145/2

Y = 245.5725 mm

Therefore, S = 5.123/245.5725 mm