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Week - 1 - Consistency of units
WEEK 1 AIM: Convert the given units to required conversion as per Ls-dyna standards. Value of the following measurements are given as follows: MASS 1kg LENGTH 1m TIME 1s FORCE 1N STRESS 1Pa ENERGY 1Nm DENSITY 1Kg/m3 YOUNG'S Modulus 210GPa Velocity…
ARAVIND M
updated on 02 Dec 2020
WEEK 1
AIM:
Convert the given units to required conversion as per Ls-dyna standards.
Value of the following measurements are given as follows:
MASS 1kg
LENGTH 1m
TIME 1s
FORCE 1N
STRESS 1Pa
ENERGY 1Nm
DENSITY 1Kg/m3
YOUNG'S Modulus 210GPa
Velocity 56.33KMPH
GRAVITY 9.8m/s2
units:
Kg cm ms
Kg cm s
gm mm ms
kg m s
g cm s
g cm us
g mm s
ton mm s
slug ft s
kg mm s
g cm ms
kg mm ms
purpose
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.
Conversion (from SI units to gm/mm/ms unts)
MASS 1kg = 1000g conversion factor: 103
LENGTH 1m = 1000mm conversion factor: 103
TIME 1s = 1000ms conversion factor: 103
FORCE 1N = 1kgm/s2
conversion factor: (1000g*1000mm)/(1000ms)2
= 10+6*10-6(g*mm)/ms2
=1(g*mm)/ms2
STRESS 1Pa = 1N/m2 = 1{(kg*m)/s2}/m2 = 1kg/(ms2)
=1000g/(1000 mm *(1000 ms)2)
= 10-6 g/mm/ms2
conversion factor: 10-6
ENERGY 1Nm B = 1J = (1Kg*1m/s2)*m
= (1kg m2/s2)
=1000g*(1000mm)2/(1000ms)2
=103 (g*mm2/ms2)
conversion factor: 103
DENSITY 1Kg/m3 = 1kg/m3
= 1000g/(1000mm)3
=10-6 g/mm3
=10-6
YOUNG'S Modulus 210GPa = 210 e+09 kg/(m*s2)
=210e+09*10-6g/(mm* ms2)
=210*103g/(mm*ms2)
conversion factor: 103
Velocity 56.33KMPH = 56.33*-(106mm/3600*1000ms)
=15.647mm/ms
conversion factor: 5/18
GRAVITY 9.8m/s2 = 9.8* 1000MM/(1000ms)2
= 9.8*10-3 mm/ms2
conversion factor: 10-3
Table unit system
|
Unit system |
mass |
length |
time |
Force |
Stress |
Energy |
|
SI units |
1kg |
1m |
1s |
1N |
1Pa |
1J=1Nm |
|
Kg cm ms |
1kg |
102cm |
103ms |
1kg*cm/ms2 |
10 kg/(cm*ms2) |
10-2 kg*cm2/ms2 |
|
Kg cm s |
1kg |
102cm |
1s |
10 -4 kg(cm/s2) |
10 -8 kg/(cm*ms2) |
104 Kg*cm2/s2 |
|
g mm ms |
103g |
103mm |
103ms |
1g(mm/ms2) |
10 -2 g/(mm*ms2) |
103 g*mm2/ms2 |
|
kg m s |
1kg |
1m |
1s |
1kg(m/s2) |
1kg/(m*s2) |
1Kg*m2/s2 |
|
g cm s |
103g |
102cm |
1s |
105 g(cm/s2) |
10g/(cm*s2) |
107g*cm2/s2 |
|
g cm us |
103g |
102cm |
10 6ms |
10 -7 g(cm/us2) |
g/(cm*us2) |
10-5 g*cm2/us2 |
|
g mm s |
103g |
103mm |
1s |
106 g*mm/s2 |
1g/(mm*s2) |
106 g*mm2/s2 |
|
ton mm s |
10-3ton |
103mm |
1s |
1ton*mm/s2 |
10-6 ton/(mm*s2) |
103 ton*mm2/s2 |
|
slug ft s |
0.068slug |
3.28ft |
1s |
0.2246 slug*ft/s2 |
0.0208 slug/(ft*s2) |
0.7366 slug*ft2/s2 |
|
kg mm s |
1kg |
103mm |
1s |
103 Kg*mm/s2 |
10 -3 kg/(mm*s2) |
106 kg*mm2/s2 |
|
g cm ms |
103g |
102cm |
103ms |
10-1 g*cm/ms2 |
10-5 g/(cm*ms2) |
10 g*cm2/ms2 |
|
kg mm ms |
1kg |
103mm |
103ms |
10-3 kg*mm/ms2 |
10 -9 kg/(mm*ms2) |
1 K g*mm2/Ms2 |
Result
The given SI unit is converted into gm/mm/ms and tabulated in the above table.
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