Week - 1 - Consistency of units

AIM: To convert the given SI unit systems to default unit system in LS-Dyna (Kg-m-s) with conversion factor.

Given:

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

Conversion to gm-mm-ms:

N = Kg*m/s2

= 1e-3 kg * 1e-3 m / (1e-3 s)^2

N = 1 Kg m/s2

where,

1gm = 1e-3 Kg

1mm = 1e-3 m

1ms = 1e-3 s

Pa = N / m2

= 1/ (1e-3 m)^2

Pa = 1E+06 N/m2

These are unit conversion factor required to convert from gm-mm-ms to Kg-m-s as default LS-Dyna unit system.

SI System	Mass (Kg)	Length (m)	Time (s)	Force (N)	Stress (Pa)	Energy (Nm)	Density (Kg/m3)	Young's Modulus (Pa)	Velocity 56.3 (Kmph)	Gravity (m/s2)
Kg-cm-ms	1	1.00E-02	1.00E-03	1.00E+04	1.00E+08	1.00E+02	1.00E+06	2.10E+19	1.56E+02	9.81E+04
Kg-cm-s	1	1.00E-02	1	1.00E-02	1.00E+02	1.00E-04	1.00E+06	2.10E+13	1.56E-01	9.81E-02
gm-mm-ms	1.00E-03	1.00E-03	1.00E-03	1.00E+00	1.00E+06	1.00E-03	1.00E+06	2.10E+17	1.56E+01	9.81E+03
Kg-m-s	1	1	1	1	1	1	1.00E+00	2.10E+11	15.63888889	9.81
gm-cm-s	1.00E-03	1.00E-02	1	1.00E-05	1.00E-01	1.00E-07	1.00E+03	2.10E+10	1.56E-01	9.81E-02
gm-cm-Mu s	1.00E-03	1.00E-02	1.00E-06	1.00E+07	1.00E+11	1.00E+05	1.00E+03	2.10E+22	1.56E+05	9.81E+10
gm-mm-s	1.00E-03	1.00E-03	1	1.00E-06	1.00E+00	1.00E-09	1.00E+06	2.10E+11	1.56E-02	9.81E-03
ton-mm-s	1.00E+03	1.00E-03	1	1.00E+00	1.00E+06	1.00E-03	1.00E+12	2.10E+17	1.56E-02	9.81E-03
gm-ft-s	1.00E-03	0.3048	1	3.05E-04	3.28E-03	9.29E-05	3.53E-02	6.89E+08	4.766733333	2.990088
Kg-mm-s	1	1.00E-03	1	1.00E-03	1.00E+03	1.00E-06	1.00E+09	2.10E+14	1.56E-02	9.81E-03
gm-cm-ms	1.00E-03	1.00E-02	1.00E-03	1.00E+01	1.00E+05	1.00E-01	1.00E+03	2.10E+16	1.56E+02	9.81E+04
Kg-mm-ms	1	1.00E-03	1.00E-02	1.00E+01	1.00E+07	1.00E-02	1.00E+09	2.10E+18	1.56E+00	9.81E+01