Week - 1 - Consistency of Units
Objective: In this study , the understanding of unit conversion of one system to another system has done.
Introduction: 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.
Different industries use different system of units as per their convenience. The units for the basic measurement quantities, mass distance and time - dictate how the other derived quantities will be expressed. For example, automotive industries use kg,mm,ms as their standard unit system. Construction industries are likely to use tonne,m,s as their unit system. Similarly, PCB simulation in electronic industry uses gm, micrometer,ms as their system of units.
Process:
Unit conversion for 1 unit
- 1meter=100cm
- 1cm=10mm
- 1meter=1000mm
- 1sec=1000ms
- 1sec=1000000us
- 1force ( newton)=mass x acceleration
-
= Kg x m/sec^2
- Stress (pa) =force/area
= newton/m^2
=(kg x m/sec^2) x m^2
=kg/(sec^2xm)
|
Mass
1kg |
Length
1meter |
Time
1 sec |
Force
1newton |
Stress
1 pa |
|
|
Kg,m,s |
1kg |
1meter |
1 sec |
1 kg.m/sec^2 |
1 kg/(m . sec^2) |
|
Kg,mm,s |
1kg |
10^3mm |
1 sec |
10^3 (kg.mm/sec^2) |
10^-3 Kg/(mm . sec^2) |
|
Kg,cm,ms |
1kg |
10^2cm |
10^3 ms |
10^-4 (kg.cm/ms^2) |
10^-8 Kg/(cm . ms^2) |
|
Kg,cm,s |
1kg |
10^2cm |
1 sec |
10^2 (kg.cm/s^2) |
10^-2 Kg/(cm . s^2) |
|
gm,mm,ms |
10^3 gram |
10^3mm |
10^3 ms |
10^-3 (kg.mm/ms^2) |
10^-6 gm/(mm .ms^2) |
|
gm,cm,s |
10^3 gram |
10^2cm |
1 sec |
10^5 (gm.cm/s^2) |
10 gm/(cm . s^2) |
|
Gm,cm,us |
10^3 gram |
10^2cm |
10^6 us |
10^-5 (gm.cm/us^2) |
10^-11 gm/(cm . us^2) |
|
Gm,mm,s |
10^3 gram |
10^3mm |
1 sec |
10^6 (gm.mm/s^2) |
1 gm/(mm . s^2) |
|
Ton,mm,s |
10^-3 ton |
10^3mm |
1 sec |
10 (ton.mm/s^2) |
10^-6 ton/(mm . s^2) |
|
Slug,ft,s |
0.0685 slug |
3.28 ft |
1 sec |
0.225 (slug.ft/s^2) |
0.02 slug/(ft . s^2) |
|
Gm,cm,ms |
10^3 gram |
10^2cm |
10^3 ms |
10^-1 (gm.cm/ms^2) |
10^-5 gm/(cm . ms^2) |
|
Kg,mm,ms |
1kg |
10^3mm |
10^3 ms |
10^-3 (kg.mm/ms^2) |
10^-9 Kg/(mm . ms^2) |
1pa = 1 kg /(m. s^2)
1Gpa = 10^9 pa
1km = 1000 meter
1 hour = 3600 second
1km/hr = 0.28m/sec
|
Energy
1 Nm |
Density
1 kg/m^3 |
Young modulus
210 Gpa |
Velocity
56.33 Km/h |
Gravity
9.8 m/s^2 |
|
|
Kg,m,s |
1 Kg.m^2/s^2 |
1 Kg/m^3 |
210 x 10^9 kg/(m . sec^2) |
15.7 m/s |
9.8 m/s^2 |
|
Kg,mm,s |
10^6 Kg.mm^2/s^2 |
10^-9 Kg/mm^3 |
210 x 10^6 Kg/(mm . sec^2) |
15.7 x 10^3 mm/s |
9.8 x 10^3 mm/s^2 |
|
Kg,cm,ms |
10^-2 Kg.cm^2/ms^2 |
10^-6 Kg/cm^3 |
210 x 10^1 Kg/(cm . ms^2) |
15.7 x 10^-1 cm/ms |
9.8 x 10^-4 cm/ms^2 |
|
Kg,cm,s |
10^4 Kg.cm^2/s^2 |
10^-6 Kg/cm^3 |
210 x 10^7 Kg/(cm . s^2) |
15.7 x 10^2 cm/sec |
9.8 x 10^2 cm/s^2 |
|
gm,mm,ms |
10^3 gm.mm^2/ms^2 |
10^-6 gm/mm^3 |
210 x 10^3 gm/(mm .ms^2) |
15.7 mm/ms |
9.8 x 10^-3 mm/ms^2 |
|
gm,cm,s |
10^7 gm.cm^2/s^2 |
10^-3 gm/cm^3 |
210 x 10^10 gm/(cm . s^2) |
15.7 x 10^2 cm/sec |
9.8 x 10^2 cm/s^2 |
|
Gm,cm,us |
10^-5 gm.cm^2/us^2 |
10^-3 gm/cm^3 |
210 x 10^-2 gm/(cm . us^2) |
15.7 x 10^-4 cm/us |
9.8 x 10^-10 cm/us^2 |
|
Gm,mm,s |
10^9 gm.mm^2/s^2 |
10^-6 gm/mm^3 |
210 x 10^9 gm/(mm . s^2) |
15.7 x 10^3 mm/s |
9.8 x10^3 mm/s^2 |
|
Ton,mm,s |
10^3 ton.mm^2/s^2 |
10^-12 ton/mm^3 |
210 x 10^3 ton/(mm . s^2) |
15.7 x 10^3 mm/s |
9.8 x10^3 mm/s^2 |
|
Slug,ft,s |
0.73 slug.ft^2/s^2 |
1.94x10^-3 slug/ft^3 |
4.2 x 10^9 slug/(ft . s^2) |
51.5 ft/s |
32.144 ft/s^2 |
|
Gm,cm,ms |
10 gm.cm^2/ms^2 |
10^-3 gm/cm^3 |
210 x 10^4 gm/(cm . ms^2) |
15.7 x 10^-1 cm/ms |
9.8 x 10^-4 cm/ms^2 |
|
Kg,mm,ms |
1 Kg.mm^2/ms^2 |
10^-9 Kg/mm^3 |
210 Kg/(mm . ms^2) |
15.7 mm/ms |
9.8 x 10^-3 mm/ms^2 |