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Aim- The aim of this challenge is to convert the given SI unit values of given quantities to all different parameters & also to prepare consistent unit system table for different unit system. OBJECTIVE:- The objective of this challenge is to convert the given values of the quantity to different system…
Abisheak Chandran
updated on 08 Aug 2021
Aim- The aim of this challenge is to convert the given SI unit values of given quantities to all different parameters & also to prepare consistent unit system table for different unit system.
OBJECTIVE:-
The objective of this challenge is to convert the given values of the quantity to different system of units. And also prepare a table so that in near future while performing the various challenges of LS dyna it can be used frequently and without any issues. As LS Dyna don’t have any default system of units, so by preparing this table we can use it frequently to solve the challenges.
Procedure:
System of Units:
A system of units is a set of related units that are used for calculations. For example, in the MKS system, the base units are the meter, kilogram, and second, which represent the base dimensions of length, mass, and time, respectively. In this system, the unit of speed is the meter per second.
1 Kg = 1000 gm = 0.001 ton = 0.068 slug
1 m = 1000 mm = 100 cm = 3.28 ft
1 s = 1000 ms = 106 us
The parameters to which different units to be assigned are:
The units in which the different parameters are to be converted are as follows:
1 kg
100 cm
1000 ms
F => mass* acceleration
=> 1 kg * 1m/s^2
=> (1 kg*100cm)/(1000ms)2
=> 10-4 (kg*cm)/ms2
Conversion factor = 10-4
1 Pa => 1N/m^2
As from the above derived 1N = 10-1 (kg cm)/ms2
=> {10-1 (kg cm/ms2)} / (100 cm2)
=> 10-8 kg/cm ms2
Conversion factor = 10-3 kg/cm*ms2
Conversion factor = 10-2
Conversion factor = 10-6
1 Pa = 10-3 kg/cm*ms2
1 GPa = 109 * 10-3 kg/cm*ms2
210 GPa = 210 * 106 kg/cm*ms2
Conversion factor = 106
Km/h
1Km = 10000 cm = 104 cm
1 hr = 60min*60sec*1000
= 3600000
= 36*105 ms
1 kmph
=> (104 )/(36*105)
=> 0.00277 cm/ms
56.33 kmph =
=> 56.33 * 0.00277 cm/ms
=> 0.1560 cm/ms
Conversion factor =
1 m/s2 = 100 cm/(1000ms)2
= 10 -4 cm/ms2
9.8 m/s2 = 9.8*10-4 cm/ms2
Conversion Factor = 10-4
1 kg
100 cm
1 s
F => mass* acceleration
=> 1 kg * 1m/s2
=> (1 kg*100cm)/(1s)2
=> 100 kg cm/s2
Conversion factor = 100
1 Pa => 1N/m2
As from the above derived 1N = 100 kg cm/s2
=> (100 kg cm/s2 )/ (100 cm)2
=> 10-2 kg/cm s2
Conversion factor = 10-2 kg/cm*s2
Conversion factor = 104
Conversion factor = 10-4
1 Pa = 10-2 kg/cm s2
1 GPa = 109 * 10-2 kg/cm s2
210 GPa = 210 * 107 kg/cm*s2
Conversion factor = 107
Km/h
1Km = 10000 cm = 104 cm
1 hr = 60min*60sec
= 3600
= 3600 s
1 kmph
=> (104 )/(3600)
=> 2.77 cm/s
56.33 kmph =
=> 56.33 * 2.77 cm/s
=> 156.03 cm/s
Conversion factor =
1 m/s2 = 100 cm/(1s)2
= 100 cm/s2
9.8 m/s2 = 9.8*100 cm/s2
Conversion Factor = 100
1000gm
1000 mm
1000 ms
F => mass* acceleration
=> 1 kg * 1m/s^2
=> (1000gm*1000mm)/(1000ms)^2
=> 1 (gm*mm)/ms^2
1 Pa => 1N/m^2
As from the above derived 1N = 1(gm*mm/ms^2)
=> {1 (gm*mm/ms^2)} / (1000mm^2)
=> 1*10^-6 gm/mm*ms^2
Conversion factor = 10^3
Conversion factor = 10^-6
1 Pa = 10^-6 gm/mm ms2
1 GPa = 109 * 10 -6 gm/mm ms2
210 GPa = 210 * 103 gm/mm ms2
Conversion factor = 103
Km/h
1Km = 1000000 mm = 106 mm
1 hr = 60min*60sec*1000
= 3600000
= 36*105 ms
1 kmph
=> (106 )/(36*105)
=> 0.277 mm/ms
56.33 kmph =
=> 56.33 * 0.277 mm/ms
=> 15.60 mm/ms
Conversion factor =
1 m/s2 = 1000mm/(1000ms2)
= 10 -3 mm/ms2
9.8 m/s2 = 9.8*10-3 mm/ms2
Conversion Factor = 10-3 mm/ms2
1 kg
1 m
1 s
F => mass* acceleration
=> 1 kg * 1m/s2
=> (1 kg*1m)/(1s)2
=> 1 kg m/s2
Conversion factor = 100
1 Pa => 1N/m2
As from the above derived 1N = 1 kg m/s2
=> (1 kg m/s2) / (1 m)2
=> 1 kg/m s2
Conversion factor = 1
Conversion factor = 1
Conversion factor = 10
1 Pa = 1 kg/m s2
1 GPa = 109 * 1 kg/m s2
210 GPa = 210 * 109 kg/m s2
Conversion factor = 109
Km/h
1Km = 1000 m = 103 m
1 hr = 60min*60sec
= 3600 s
1 kmph
=> (103 )/(3600)
=> 0.277 m/s
56.33 kmph =
=> 56.33 * 0.277 m/s
=> 15.603 m/s
Conversion factor = 0.277
1 m/s2 = 1 m/(1s)2
= 1 m/s2
9.8 m/s2 = 9.8*1 m/s2
Conversion Factor = 1
1000gm
100 cm
1 s
F => mass* acceleration
=> 1000 g * 1m/s2
=> (1000 g*100cm)/(1s)2
=> 105 g cm/s2
Conversion factor = 105
1 Pa => 1N/m2
As from the above derived 1N = 105 g cm/s2
=> 105 g cm/s2/ (100 cm)2
=> 10 g/cm s2
Conversion factor = 10 g/cm s2
Conversion factor = 107
Conversion factor = 10-3
1 Pa = 10 g/cm s2
1 GPa = 109 * 10 g/cm s2
210 GPa = 210 * 1010 g/cm s2
Conversion factor = 1010
Km/h
1Km = 10000 cm = 104 cm
1 hr = 60min*60sec
= 3600
= 3600 s
1 kmph
=> (104 )/(3600)
=> 2.77 cm/s
56.33 kmph =
=> 56.33 * 2.77 cm/s
=> 156.03 cm/s
Conversion factor =
1 m/s2 = 100 cm/(1s)2
= 100 cm/s2
9.8 m/s2 = 9.8*100 cm/s2
Conversion Factor = 100
1000 gm
100 cm
106 us
F => mass* acceleration
=> 1000 g * 100 cm/(106 us)2
=> (1000 g*100 cm)/(106 us)2
=> 10-1 g cm/us2
Conversion factor = 10-1
1 Pa => 1N/m2
As from the above derived 1N = 10-1 g cm/us2
=> 10-1 g cm/us2/ (100 cm)2
=> 10-3 g/cm us2
Conversion factor = 10-3 g/cm us2
Conversion factor = 10
Conversion factor = 10-3
1 Pa =10-3 g/cm us2
1 GPa = 109 * 10-3 g/cm us2
210 GPa = 210 * 106 g/cm us2
Conversion factor = 106
Km/h
1Km = 10000 cm = 104 cm
1 hr = 60min*60sec*106 us
= 36*108 us
= 36* 108 us
1 kmph
=> (104 )/(36*108)
=> 0.00000278 cm/ us
56.33 kmph =
=> 56.33 * 0.00000278 cm/us
=> 0.000156 cm/us
Conversion factor =
1 m/s2 = 100 cm/(106 us)2
= 100 cm/ 1012 us2
9.8 m/s2 = 9.8*10-10 cm/us2
Conversion Factor = 10-10
1000 gm
1000 mm
1 s
F => mass* acceleration
=> 1000 g * 1m/s2
=> (1000 g*1000 mm)/(1s)2
=> 106 g mm/s2
Conversion factor = 106
1 Pa => 1N/m2
As from the above derived 1N = 106 g mm/s2
=> (106 g mm/s2 ) /(1000 mm)2
=> 1 g/mm s2
Conversion factor = 1 g/mm s2
Conversion factor = 109
Conversion factor = 10-6
1 Pa = 1 g/mm s2
1 GPa = 109 * 1 g/mm s2
210 GPa = 210 * 109 g/mm s2
Conversion factor = 109
Km/h
1Km = 1000000 mm = 106 mm
1 hr = 60min*60sec
= 3600
= 3600 s
1 kmph
=> (106 )/(3600)
=> 277.7 mm/s
56.33 kmph =
=> 56.33 * 277.7 mm/s
=> 15603 mm/s
Conversion factor =
1 m/s2 = 1000 mm/(1s)2
= 1000 mm/s2
9.8 m/s2 = 9.8*1000 mm/s2
Conversion Factor = 103
0.001 ton
1000 mm
1000 ms
F => mass* acceleration
=> 0.001 ton * 1m/s^2
=> (0.001 ton *1000 mm)/(1000ms)2
=> 10-6 ton mm/ms2
Conversion factor = 10-6
1 Pa => 1N/m^2
As from the above derived 1N = 10-6 (ton mm)/ms2
=> {10-6 (ton mm)/ms2} / (1000 mm)2
=> 10-12 ton/mm ms2
Conversion factor = 10-12 ton/mm ms2
Conversion factor = 10-3
Conversion factor = 10-12
1 Pa = 10-12 ton/mm ms2
1 GPa = 109 * 10-12 ton/mm ms2
210 GPa = 210 * 10-3 ton/mm ms2
Conversion factor = 10-3
Km/h
1Km = 1000000 mm = 106 mm
1 hr = 60min*60sec*1000
= 3600000
= 36*105 ms
1 kmph
=> (106 )/(36*105)
=> 0.277 mm/ms
56.33 kmph =
=> 56.33 * 0.277 mm/ms
=> 15.60 mm/ms
Conversion factor =
1 m/s2 = 1000 mm/(1000 ms)2
= 10 -3 mm/ms2
9.8 m/s2 = 9.8*10-3 mm/ms2
Conversion Factor = 10-3
0.068 slug
3.28 ft
1 s
F => mass* acceleration
=> 1 kg * 1m/s2
=> (0.068 slug*3.28 ft)/(1s)2
=> 0.22 slug ft/s2
Conversion factor = 0.22
1 Pa => 1N/m2
As from the above derived 1N = 0.22 slug ft/s2
=> 0.22 slug ft/s2 / (3.28 ft)2
=> 0.0205 slug/ft s2
Conversion factor = 0.0205
Conversion factor = 0.7216
Conversion factor = 0.0019
1 Pa = 0.0205 slug/ft s2
1 GPa = 109 * 0.0205 slug/ft s2
210 GPa = 210 * 109 * 0.0205 slug/ft s2
210 GPa = 4.305*109 slug/ft s2
Conversion factor = 0.0205 slug/ft s2
Km/h
1Km = 1000 m = 103 m = 103 * 3.28 ft
1 hr = 60min*60sec
= 3600 s
1 kmph
=> (3.28*103 ft)/(3600 s)
=> 0.911 ft/s
56.33 kmph =
=> 56.33 * 0.911 ft/s
=> 51.316 ft/s
Conversion factor =0.911
1 m/s2 = 3.28 ft/(1s)2
= 3.28 ft/s2
9.8 m/s2 = 9.8*3.28 ft/s2 = 32.14 ft/s2
Conversion Factor = 3.28
1 kg
1000 mm
1 s
F => mass* acceleration
=> 1 kg * 1m/s2
=> (1 kg*1000 mm)/(1s)2
=> 1000 kg mm/s2
Conversion factor = 100
1 Pa => 1N/m2
As from the above derived 1N = 1000 kg mm/s2
=> (1000 kg mm/s2 )/ (1000 mm)2
=> 10-3 kg/mm s2
Conversion factor = 10-3 kg/mm s2
Conversion factor = 106
Conversion factor = 10-9
1 Pa = 10-3 kg/mm s2
1 GPa = 109 * 10-3 kg/mm s2
210 GPa = 210 * 106 kg/mm s2
Conversion factor = 106
Km/h
1Km = 1000000 mm = 106 mm
1 hr = 60min*60sec
= 3600
= 3600 s
1 kmph
=> (106 )/(3600)
=> 277.78 mm/s
56.33 kmph =
=> 56.33 * 277.78 mm/s
=> 15603 mm/s
Conversion factor =
1 m/s2 = 1000 mm/(1s)2
= 1000 mm/s2
9.8 m/s2 = 9.8*1000 mm/s2
Conversion Factor = 103
1000gm
100 cm
1000 ms
F => mass* acceleration
=> 1000 g * 1m/s2
=> (1000 g*100cm)/(1000 ms)2
=> 10-1 g cm/ms2
Conversion factor = 10-1
1 Pa => 1N/m2
As from the above derived 1N = 10-1 g cm/ms2
=> 10-1 g cm/ms2 / (100 cm)2
=> 10-3 g/cm ms2
Conversion factor = 10-3 g/cm ms2
Conversion factor = 10
Conversion factor = 10-3
1 Pa = 10-3 g/cm ms2
1 GPa = 109 * 10-3 g/cm ms2
210 GPa = 210 * 106 g/cm ms2
Conversion factor = 106
Km/h
1Km = 10000 cm = 104 cm
1 hr = 60min*60sec*1000
= 36*105 ms
= 36*105 ms
1 kmph
=> (105 cm)/( 36*105 ms)
=> 0.0277 cm/ms
56.33 kmph =
=> 56.33 * 0.0277 cm/ms
=> 1.5603 cm/ms
Conversion factor =
1 m/s2 = 100 cm/(1000 ms)2
= 10-4 cm/ms2
9.8 m/s2 = 9.8*10-4 cm/ms2
Conversion Factor = 10-4
1 kg
1000 mm
1000 ms
F => mass* acceleration
=> 1 kg * 1m/s^2
=> (1 kg*1000 mm)/(1000ms)2
=> 10-3 (kg*mm)/ms2
Conversion factor = 10-1
1 Pa => 1N/m^2
As from the above derived 1N = 10-3 (kg*mm)/ms2
=> {10-3 (kg*mm)/ms2} / (1000 mm)2
=> 10-9 kg/mm ms2
Conversion factor = 10-9 kg/mm*ms2
Conversion factor = 1
Conversion factor = 10-9
1 Pa = 10-9 kg/mm ms2
1 GPa = 109 * 10-9 kg/mm ms2
210 GPa = 210 * 1 kg/mm ms2
Conversion factor = 1
Km/h
1Km = 1000000 mm = 106 mm
1 hr = 60min*60sec*1000
= 3600000
= 36*105 ms
1 kmph
=> (106 )/(36*105)
=> 0.277 mm/ms
56.33 kmph =
=> 56.33 * 0.277 mm/ms
=> 15.60 mm/ms
Conversion factor = 0.277
1 m/s2 = 1000 mm/(1000 ms)2
= 10 -3 mm/ms2
9.8 m/s2 = 9.8*10-3 mm/ms2
Conversion Factor = 10-3
CONCLUSION:-
UNIT |
Mass |
length |
Time |
force |
stress |
energy |
density |
Young’s modulus |
Velocity 56.33 kmph |
Gravity |
Kg m s |
1 kg |
1 m |
1 s |
1 N = 1 kgm/s2 |
1 Pa = 1 kg/ m s2 |
1 J = 1 Nm= 1 kg m2 /s2 |
1 kg/m3 |
210 GPa= 210 e9 kg/m s2 |
15.647 m/s |
9.8 m/s2 |
Kg cm ms |
1 kg |
100 cm |
1000 ms |
10-4 kg cm/ms2 |
10-8 kg/cm ms2 |
10-2 kg cm2/ms2 |
10-6 kg/cm3 |
2100 Kg/cm ms2 |
1.5647 cm/ms |
9.8*10-4 cm/ms2 |
Kg cm s |
1 kg |
100 cm |
1 s |
102 kg cm/s2 |
10-2 kg/cm s2 |
104 kg cm2/s2 |
10-6 kg/cm3 |
210 e+7 kg/cm s2 |
1564.7 cm/s |
9.8*102 cm/s2 |
Gm mm ms |
1000 gm |
1000 mm |
1000 ms |
1 g mm/ms2 |
10-6 gm/mm ms2 |
103 gm mm2/ms2 |
10-6 gm/mm3 |
210e3 gm/mm ms2 |
15.647 mm/ms |
9.8*10-3 mm/ms2 |
G cm s |
1000 gm |
100 cm |
1 s |
105 gm cm/s2 |
10 gm/cm s2 |
107 gm cm2/s2 |
10-3 gm/cm3 |
210e10 gm/cm s2 |
1564.7 cm/s |
9.8*102 cm/s2 |
G cm us |
1000 gm |
100 cm |
106 us |
10-7 gm cm/us2 |
10-11 gm/cm us2 |
10-5 gm cm2/us2
|
10-3 gm/cm3 |
2.10 gm/cm us2 |
15.647*10-4 cm/us
|
9.8*10-10 cm/us2 |
G mm s |
1000 gm |
1000 mm |
1 s |
106 gm mm/s2
|
1 gm/mm s2
|
109 gm mm2/s2 |
10-6 gm/mm3 |
2.10e11 gm/mm s2 |
15647 mm/s |
9.8*103 mm/s2 |
Ton mm s |
10-3 ton |
1000 mm |
1 s |
1 ton mm/s2 |
10-6 ton/mm s2 |
103 ton mm/s2 |
10-12 ton/mm3 |
210e3 ton/mm s2 |
15647 mm/s |
9.8*103 mm/s2 |
Slug ft s |
0.068 slug |
3.28 ft |
1 s |
0.2246 slug ft/s2 |
0.0208 slug/ft s2 |
0.7366 slug ft/s2 |
1.93*10-3 slug/ft3 |
4.368e9 slug/ft s2 |
51.322 ft/s |
32.144 ft/s2 |
Kg mm s |
1 kg |
1000 mm |
1 s |
103 kg mm/s2 |
10-3 kg/mm s2 |
106 kg mm/s2 |
10-9 kg/mm3 |
210e6 kg/mm s2 |
15647 mm/s |
9.8*103 mm/s2 |
G cm ms |
1000 gm |
100 cm |
1000 ms |
10-1 gm cm/ms2 |
10-5 gm/cm ms2 |
10 gm cm/ms2 |
10-3 gm/cm3 |
210e4 gm/cm ms2 |
1.5647 cm/ms |
9.8*10-4 cm/ms2 |
Kg mm ms |
1 kg |
1000 mm |
1000 ms |
10-3 kg mm/ms2 |
10-9 kg/mm ms2 |
1 kg mm/ms2 |
10-9 kg/mm3 |
210 kg/mm ms2 |
15.647 mm/ms |
9.8*10-3 mm/ms2 |
Conclusion-
LS-DYNA doesn't have a default system of units. User needs to input material properties and physical dimensions according to a consistent system of units as per their choice. This warrants that to use LS-DYNA in different circumstances, users has to be conversant with converting quantities from one system of units to another.
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