Section Modulus calculation and optimization
Section Modulus –
Section Modulus is the geometric property of the given cross-section of any structural member. It is the direct measure of the strength of the shaft section or the beam section. Higher the section modulus of a structure, the more the resistive it becomes to bending. It 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.
Section Modulus 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
Section Modulus Calculation –
1. Initial Hood Section
Data from Section Inertia Analysis –
XC = 0.000000000 X = 0.000000000
YC = 787.005014862 Y = 787.005014862
ZC = -988.611358031 Z = -988.611358031
Section#: 1
Type: Hollow
CG: (0.000000000, 749.274067688, -930.494071641) [mm]
MOI (Max):8.194103361e+05[mm^4]
MOI (Min):5.798808768e+03[mm^4] = I
Section Length:2.045296221e+03[mm]
Section Area:40.905944842[mm^2]
Total Length (x) = 487.1977 mm
y = x/2 = 487.1977/2 = 243.59885 mm
According to formula,
S = I/y = (5.798808768e+03)/( 243.59885)
S = 23.80474607330864[mm^3]
2. Modified Hood Section
Thickness of inner hood panel increased by 0.475mm.
Data from Section Inertia Analysis –
XC = 0.000000000 X = 0.000000000
YC = 786.758517297 Y = 786.758517297
ZC = -988.671613901 Z = -988.671613901
Section#: 2
Type: Hollow
CG: (0.000000000, 749.026431951, -930.555066451) [mm]
MOI (Max):8.170633765e+05[mm^4]
MOI (Min):6.001950853e+03[mm^4] = I
Section Length:2.043187806e+03[mm]
Section Area:40.863732771[mm^2]
Total Length (x) = 487.1977 mm
y = x/2 = 487.1977/2 = 243.59885 mm
According to formula,
S = I/y = (6.001950853e+03)/( 243.59885)
S = 24.63866661521596[mm^3]
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