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:
FRONT CRASH DISTANCE:
SIDE CRASH DISTANCE:
OBSERVATION
CALCULATION
CASE1)
FRONT CRASH ORIGINAL
Imin (in Meters) =2.180*10^6 m
Imax(in Meters)=8.538*10^8 m
Imin (in mm)=2180000 mm
Imax (in mm)=853800000 mm
Total Dist=880.153mm
Y=Total Dist./2 =440.0765 mm
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=2180000/ 440.0765 => 4953.684 mm
Smax=853800000/440.0765 => 1940117.229mm
Savg=(4953.684+1940117.229)/2 => 972535.456mm
CASE2)
FRONT CRASH 1.5MM
Imin (in Meters)=2.498*10^6
Imax(in Meters)=9.448*10^8
Imin (in mm)=2498000
Imax (in mm)=944800000
Total Dist=880.153mm
Y=Total Dist./2 = 440.0765 mm
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin= 2498000/440.0765 => 5676.285mm
Smax=944800000/440.0765 =>2146899.459mm
Savg=(5676.285+2146899.459)/2 =>1076287.872mm
By Comparing both the cases
972535.456mm < 1076287.872mm
CASE1)
SIDE CRASH ORIGINAL
Imin (in Meters)=1.14*10^6 m
Imax(in Meters)=1.594*10^8 m
Imin (in mm)=1140000 mm
Imax (in mm)=159400000 mm
Total Dist=489.194 mm
Y=Total Dist./2 = 244.597 mm
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=1140000/ 244.597 => 4660.727 mm
Smax=159400000/ 244.597 =>651684.198mm
Savg=(4660.727+651684.198)/2 => 328172.462mm
CASE2)
SIDE CRASH 1.5mm OFFSET
Imin (in Meters)=1.303*10^6 m
Imax(in Meters)=1.765*10^8 m
Imin (in mm)=1303000 mm
Imax (in mm)=176500000 mm
Total Dist=489.194 mm
Y=Total Dist./2 = 244.597 mm
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=1303000/ 244.597=> 5327.129 mm
Smax=176500000/ 244.597 => 721595.113mm
Savg=(5327.129+721595.113)/2 =>363461.121mm
By Comparing both the cases
328172.462mm < 363461.121mm
CONCLUSION
WE HAVE PERFORMED DIFFERENT SECTION MODULUS OUT OF WHICH THE OFFSETTED HAVE HIGHER SECTION MODULUS SO THAT IT WILL RESIST IN HIGHER BENDING MOMENT.