Section Modulus calculation and optimization
AIM
Use the Section from your Hood design and calculate 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
SECTION MODULUS
Section modulus is a geometric property for a cross section used in a design of beam or flexural member. Other geometric properties used in design include area for tension & Shear, radius of gyration for compression, annd second momnet of area & polar second moment of area for stiffness.
It is the ratio of moment of inertia (I) of the beam cross section aboutt the neutral axis to the distance (ymax) of extreme fiber from the neutral axis. the section modulus (Z)of the cross-sectional shape is significant in designing beams. It is a direct measure of the strength of the beam.
HOOD ASSSEMBLY
Hood assembly which i designed in pervious challenge used to calculate section modulus
SECTION-A
my current design cross section is take it as Section-A
In catia, we need a surface to measure moment of inertia, so create a cross section surface using fill command
Now check the moment of inertia (I)
So the results is (Converted from m4 to mm4)
min I = 1.24929e-03 mm4
max I = 0.148492 mm4
Lets find the y ( distance between the neutral axis and the extreme end of the object )
y = 477.92/2
y = 238.96 mm
therefore, Section modulus for section-A is
min S = min I / y = 1.24929e-03 / 238.96
min S = 5.228e-7 mm3
max S = max I / y = 0.148492 / 238.96
max S = 0.000621 mm3
SECTION-B
For Improve Section modulus, we just increase cross section height by offsetting the Hood inner frame length 0.7mm
this new section is called as Section-B
Lets calculate Moment of inertia
So the results is (Converted from m4 to mm4)
min I = 1.32622e-03 mm4
max I = 0.155601 mm4
therefore, Section modulus for section-B is
min S = min I / y = 1.32622e-03 / 238.96
min S = 5.548e-7 mm3
max S = max I / y = 0.155601 / 238.96
max S = 0.000651 mm3
CONCLUSION
thus, Section-B modulus is greater than Section-A modulus
So, by increasing cross section height 0.7mm, we can increase section modulus of hood assembly