Section Modulus calculation and optimization

SECTION MODULUS:

Section Modulus is a geometric property used to calculate the bending stresses in a structural member.

Mathematically,

It is defined as the ratio of the moment of inertia of a section about its centroidal axis and to the distance of the extreme layer from the neutral axis.

It is denoted by S.

S = I/y_max

Mathematically By bending stress equation,

M/I = σ_max/y_max

M = σ_max × (I/y_max)

M = σ_max × S

Where,

I = Moment of Inertia(m⁴)

y = distance from NA to extreme layer(m)

The unit of section modulus is m³| mm³

SECTION-1 & 2 FROM HOOD DESIGN:

Calculating the Section Modulus using the formula

S = I/y

Where,

S = Section Modulus

I = Moment of Inertia

y = distance between the neutral axis and the extreme end of the object

VALUES FROM HOOD SECTION-1

I= 2.886353222e+05 mm⁴

Y= 439.96225mm

Therefore,

S = 2.886353222e+05/439.96225 mm³

S = 656.05 mm³

VALUES FROM HOOD SECTION-2

I= 2.924024828e+05 mm⁴

Y= 439.96225 mm

Therefore,

S = 2.924024828e+05/439.96225 mm³

S = 664.60 mm³

For the Hood Section 2, I tried to increase the gap between the inner & outer panels to improve the section modulus.