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
Intersection of both inner pannel and outer pannel:
Front crash Original:
FRONT CRASH OFFSET OF 2MM
SIDE CRASH ORIGINAL:
Intersection of both inner pannel and outer pannel:
SIDE CRASH OF 2MM OFFSET:
SECTION VIEW PIC:
OBSERVATION:
| SECTION MODULUS DATA | FRONT CRASH ORIGINAL | FRONT CRASH OFFSET 2MM | SIDE CRASH ORIGINAL | SIDE CRASH OFFSET 2MM |
| Imin (in Meters) | 1.874*10^6 | 2.298*10^6 | 1.075*10^6 | 1.287*10^6 |
| Imax (in Meters) | 7.894*10^8 | 9.09*10^8 | 1.36*10^8 | 1.589*10^8 |
| Imin (in mm) | 1874000 | 2298000 | 1075000 | 1287000 |
| Imax (in mm) | 789400000 | 909000000 | 136000000 | 158900000 |
| Total Distance (in mm) | 879.292 | 878.646 | 485.339 | 484.933 |
| Y=Total Dist/2 (in mm) | 439.646 | 439.323 | 242.6695 | 242.4635 |
| S Min=I Min/Y (in mm) | 4262.5203 | 5230.77553 | 4429.8933 | 5308.01543 |
| S Max=Imax/Y (in mm) | 1795535.5 | 2069092.64 | 560433.0169 | 655356.3732 |
| Savg=(Smin+Smax)/2 (in mm) | 899899.01 | 1037161.71 | 282431.4551 | 330332.1943 |
sample calculation
CASE1) FRONT CRASH ORIGINAL
Imin (in meters)=1.874*10^6m
Imax (in meters)=7.894*10^8m
Imin (in mm)= 1874000
Imax (in mm)=789400000
total distance=879.292
Y=total dist/2=439.646
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=1874000/439.646=>4262.5203
Smax=789400000/439.646=>1795535.5
Savg=(4262.5203+1795535.5)/2=899899.01mm
case2) front crash offset 2mm
Imin (in meters)=2.298*10^6m
Imax (in meters)=9.09*10^8m
Imin (in mm)=2298000
Imax (in mm)=909000000
Total distance=878.646
Y=Total dist/2=439.323
S=I/Y
Smin=Imin/Y : Smax= Imax/Y
Smin=2298000/439.323=>5230.77553
Smax=909000000/439.323=>2069092.64
Savg=(5230.77553+2069092.64)/2=1037161.71mm
By comparing both cases
899899.01mm< 1037161.71mm
conclusion:
The inner pannel strength is increased, while changing the geomentrical property of the embose. By considering the above calculation the section modulus value for the design will increase. I conclude this design of hood will cause less damage for the people who makes accident and also for the people who is sitting inside.