Section Modulus calculation and optimization
Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members. It is a measure of the resistance of the cross-section to bending. Section modulus can be calculated by dividing the moment of inertia of the cross-section by the distance from the neutral axis to the extreme fiber.
First section modulus for the Hood design is
S=I/Y
where,
I = Minimum MOI(Moment of Inertia)
= 2.627911019 mm^4
Y = total cross section distance/2
= 876.4678/2
= 438.2339 mm
then ,
S = 2.627911019/438.2339
S = 0.0059965945560 mm^4
After modifying the cross section for improving the Moment of Inertia (MOI) to be improved.
offestting to 0.5mm;the values are:
S = I/Y
where,
I = 2.661872378 mm^4
Y = 876.4678/2
= 438.2339mm
then,
S = 2.661872378/438.2339
S = 0.006074090521 mm^4
Strenth of the Particular Hood is increasing.
I have also tried to modify once more so I got offsetted to another 0.5mm and the results are;
I = 2.698505274 mm^4
Y = 876.4678/2
= 438.2339mm
then,
S = 2.698505274/438.2339
S = 0.0061576826302 mm^4
Strenth of the Particular Hood is increasing by varying the MOI (Moment of Inertia).
All the reference Images are attached.