Section Modulus calculation and optimization
AIM:
To Use the Section from 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
PROCEDURE:
The data are collected from taking the master section using the mid plane
Front crash Original:
Front crash 1.5mm offset:
Side Crash Original:
Side Crash 1.5mm offset:
SECTION VIEW PIC:
SAMPLE CALCULATION:
CASE1)FRONT CRASH ORIGINAL:
Imin (in Meters)=2.086*10^6 m
Imax(in Meters)=7.93*10^8 m
Imin (in mm)=2086000mm
Imax (in mm)=793000000mm
Total Dist=875.369mm
Y=Total Dist./2 = 437.6845mm
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=2086000/437.6845 => 4765.99011mm
Smax=793000000/437.6845 => 1811807.36mm
Savg=(4765.99011+1811807.36)/2 => 908286.675
CASE2)FRONT CRASH 1.5MM:
Imin (in Meters)=2.429*10^6
Imax(in Meters)=8.843*10^8
Imin (in mm)=2429000
Imax (in mm)=884300000
Total Dist=875.369mm
Y=Total Dist./2 = 437.6845mm
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin= 2429000/437.6845 => 5549.65963mm
Smax=884300000/437.6845 =>2020405.11mm
Savg=(5549.65963+2020405.11)/2 =>1012977.38mm
By Comparing both the cases
908286.675mm < 1012977.38mm
CASE 3)SIDE CRASH ORIGINAL:
Imin (in Meters)=9.965*10^5 m
Imax(in Meters)=1.408*10^8 m
Imin (in mm)=996500mm
Imax (in mm)=140800000mm
Total Dist=486.369mm
Y=Total Dist./2 = 243.1845mm
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=996500/243.1845 => 4097.71182mm
Smax=140800000/243.1845 => 578984.269mm
Savg=(4097.71182+578984.269)/2 =>291540.99mm
CASE 4)SIDE CRASH 1.5mm:
Imin (in Meters)=1.147*10^6 m
Imax(in Meters)=1.578*10^8 m
Imin (in mm)=1147000mm
Imax (in mm)=157800000mm
Total Dist=486.369mm
Y=Total Dist./2 = 243.1845mm
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=1147000/243.1845 => 4716.5835mm
Smax=157800000/243.1845 => 648890.04mm
Savg=(4716.5835+648890.04)/2 =>326803.312mm
By Comparing both the cases
291540.99mm <326803.312mm
CONCLUSION:
I Hereby Conclude that the Section Modulus(S) value for the offset range of 1.5mm of the Inner panel of the hood has the maximum value when compared to the original dimension.