Section Modulus calculation and optimization
SECTION MODULUS CALCULATION AND OPTIMIZATION:-
AIM:-
- calculate the moment of inertia
- calculate the section modulus (z)
INTRODUCTIN:-
section modulus is a geometric property for given cross-section used in design of beams or flexural members.other geometric properties used in design include area for tention and shear ,raadius of gyration for compression ,and moment of inertia and polar moment of inertia for stiffness.it include the idea that most of the work in bending is being done by the extreme fibre from of the beam,i.e. the top and bottom is therefor built into the calculation.
the section moduus of the cross section shape is the significant important in designing beams.
it is the direct measure of the streght of the beam.
the beam that have the larger section modulus than other will be strongr and capable of supporting greater loads.
ACCORDIN TO THE BENDING EQUATION:-
where,
Z= section modulus of
σ=bending stress
y= the distance to the extrem fibre from the centroide.
section modulus calculation of hood:
the section modulus of the cross-sectional shape is of significant importance in designing beams. it is adirect measure of strenght of the beam. a beam that has a larger section modulus than another will be stronger and capable of supporting greater loads. it inlcudes the idea that most of work in bending is being done by the extreme fiber of the beam,i.e the top and botoom fibre of the section.the distance of the fibre from top to bottom is therfore built into the calculation.
CASE:1
no modifications in the hood assembly.
from the above design section,
minimum moment of inertia(I)=1.336309 x 10^4 mm^4
and the Y = 439.85mm
for section modulus,
S,=I/y
=1.336309 X 10^4/439.85
=30.381mm^3
CASE :2
increase the offse distance of hem flnge of the outer panel by 0.5mm
from the above section,
minimum moment of inertia(I)=1.342376 X 10^4mm^4
Y= 439.8 mm
for section modulus,
S 2 =I/Y
=1.342376 X 10 ^4/439.85
=30.518mm^3.
conclusion:-
thus the section modulus of the hood is calculated and section modulus values are improved by 0,137mm^3 after the design of hood.