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)=1.829*10^6 m
Imax(in Meters)=7.611*10^8 m
Imin (in mm)=1829000mm
Imax (in mm)=761100000 mm
Total Dist=877.872mm
Y=Total Dist./2 = 438.936 mm
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=1829000/ 438.936 => 4166.894mm
Smax=761100000/ 438.936 => 1733965.771mm
Savg=(4166.894+1733965.771)/2 => 869066.3325mm
CASE2)FRONT CRASH 1.5MM
Imin (in Meters)=2.141*10^6
Imax(in Meters)=8.519*10^8
Imin (in mm)=2141000
Imax (in mm)=851900000
Total Dist=877.872mm
Y=Total Dist./2 = 438.936
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin= 2141000/438.936 => 4877.704
Smax=851900000/438.936 =>1940829.642
Savg=(4877.704+1940829.642)/2 =>972853.673mm
By Comparing both the cases
869066.3325mm< 972853.673mm
CASE1)SIDE CRASH ORIGINAL
Imin (in Meters)=1.224*10^6 m
Imax(in Meters)=1.294*10^8 m
Imin (in mm)=1224000mm
Imax (in mm)=129400000mm
Total Dist=485.041mm
Y=Total Dist./2 =242.5205 mm
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=1224000/ 242.5205 =>5046.996mm
Smax=129400000/ 242.5205 => 533563.142mm
Savg=(5046.996+533563.142)/2 => 269305.069mm
CASE2)SIDE CRASH 1.5MM
Imin (in Meters)=1.39*10^6
Imax(in Meters)=1.469*10^8
Imin (in mm)=1390000
Imax (in mm)=146900000
Total Dist=485.041
Y=Total Dist./2 = 242.5205
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin= 1390000/242.5205 => 5731.474
Smax=146900000/242.5205 =>605721.990
Savg=(5731.474+605721.990)/2 =>305726.732
By Comparing both the cases
5731.474mm < 605721.9905mm
CONCLUSION
So, here the difference can be seen in the moment of inertia and the change in the section modulus can be seen by the change in the design(depth).