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 optimised 1.5mm offset:
Side Crash Original:
Side Crash optimised 1.5mm offset:
SECTION VIEW PIC
OBSERVATION TBLE
front crash analysis table
SAMPLE CALCULATION
CASE1)FRONT CRASH ORIGINAL
Imin (in Meters)=
|
1.953*10^6 |
Imax(in Meters)=
|
7.04*10^8 |
Imin (in mm)=
|
1953000 |
Imax (in mm)=
|
704000000 |
Total Dist=
|
875.388 |
Y=Total Dist./2 =
|
437.694 |
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=
|
4462.0112 |
Smax=
|
1608425.9587 |
Savg=
|
806443.98495 |
CASE2)FRONT OPTIMISED CRASH 1.5MM
Imin (in Meters)=
|
2.248*10^6 |
Imax(in Meters)=
|
7.969*10^8 |
Imin (in mm)=
|
2248000 |
Imax (in mm)=
|
796900000 |
Total Dist=
|
875.128 |
Y=Total Dist./2 =
|
437.564 |
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=
|
5137.534 |
Smax=
|
1821219.2959 |
Savg=
|
913178.41495 |
By Comparing both the cases
806443.98495mm < 913178.41495mm
side crash analysis table
SAMPLE CALCULATION
CASE3)SIDE CRASH ORIGINAL
Imin (in Meters)=
|
9.703*10^5 |
Imax(in Meters)=
|
10264*10^8 |
Imin (in mm)=
|
970300 |
Imax (in mm)=
|
126400000 |
Total Dist=
|
485.042 |
Y=Total Dist./2 =
|
242.521 |
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=
|
4000.890 |
Smax=
|
521191.9792 |
Savg=
|
262596.4346 |
CASE4)SIDE OPTIMISED CRASH 1.5MM
Imin (in Meters)=
|
1.1149*10^6 |
Imax(in Meters)=
|
1.44*10^8 |
Imin (in mm)=
|
1119000 |
Imax (in mm)=
|
144000000 |
Total Dist=
|
484.875 |
Y=Total Dist./2 =
|
242.437 |
S=I/Y
Smin=Imin/Y ; Smax=Imax/Y
Smin=
|
4615.6225 |
Smax=
|
593967.5174 |
Savg=
|
299291.5699 |
By Comparing both the cases
for front crash analysis ( case 1 and case 2 )
806443.98495mm < 913178.41495mm
for side crash analysis ( case 3 and case 4 )
262596.4346mm <299291.5699mm
CONCLUSION
Hence when comparing Case 1 with case 2 (806443.98495mm < 913178.41495mm)of front crash analysis and case 3 with case4 (262596.4346mm <299291.5699mm)of side crash analysis
1) The section modulus value of case 2 and case 4 is higher than the case 1 and case 3.
2) As we increase the section area , the moment of Inertia & section modulus increases which means the strength and load capacity of material also increases.