18.13. Understanding Solving Units

There are a number of possible unit systems provided for the solution process in the Mechanical application. The tables shown below present the solver unit systems for the various quantities. For a given solution, the application detects the specified unit system and then converts all analysis quantities into a consistent unit system prior to sending data to the solver. This makes sure that the application interprets all unit systems for all quantities correctly for processing as the inputs and the outputs to the Mechanical APDL application. Note that the GUI may display units that are different than the ones shown below.


Note:
  • Units of measure specified in Commands objects are not converted when they are sent to the solver.

  • All magnetostatic analyses solve in the mks system regardless of the user-defined system.

  • Note the following Units options.

    • Metric (mm, kg, N, s, mV, mA)

    • Metric (mm, t, N, s, mV, mA)

    • Metric (mm, dat, N, s, mV, mA)

    These options differ only by Mass unit: kilogram (kg), metric ton (t), and decaton (dat). However, the consistent unit system used for the solver is the same for all quantities, i.e. Mass is measured in tons [t]. For the purposes of this discussion, the following descriptions use only the first option (mm, kg, N, s, mV, mA), to represent all three of the above interface options.

  • For the unit system (mm, kg, kN, ms, mV, mA), all of the analyses that use the Solver Target property setting, Mechanical APDL, the application solves the using the (mm, t, N, s, mV, mA) unit system as the solving unit system.

  • All "ton" designations in the table indicate metric ton.

  • For additional information on unit systems for use with LS-DYNA, see Solving Units in the LS-DYNA User's Guide.


Acceleration Energy Length PSD Moment Specific Weight
Angle Energy Density by Mass Magnetic Field Intensity PSD Pressure Square Root of Length
Angular Acceleration Energy Per Volume Magnetic Flux PSD Strain Stiffness
Angular Velocity Film Coefficient Magnetic Flux Density PSD Stress Strain
Area Force Mass PSD Velocity Stress
Capacitance Force Intensity Material Impedance Relative Permeability Stress Intensity Factor
Charge Force Per Angular Unit Moment Relative Permittivity Strength
Charge Density Fracture Energy (Energy Release Rate) Moment of Inertia of Area Rotational Damping Thermal Capacitance
Conductivity Frequency Moment of Inertia of Mass Rotational Stiffness Thermal Conductance - 3D Face and 2D Edge
Current Gasket Stiffness Normalized Value RS Acceleration Thermal Conductance - 3D Edge and Vertex
Current Density Heat Flux Permeability RS Displacement Thermal Expansion
Decay Constant Heat Generation Permittivity RS Strain Temperature
Density Heat Rate Poisson's Ratio RS Stress Temperature Difference
Displacement Impulse Power RS Velocity Temperature Gradient
Electric Conductance Per Unit Area Impulse Per Angular Unit Pressure Seebeck Coefficient Time
Electric Conductivity Inductance PSD Acceleration Section Modulus Translational Damping
Electric Field Inverse Angle PSD Acceleration (G) Shear Elastic Strain Velocity
Electric Flux Density Inverse Length PSD Displacement Shock Velocity Voltage
Electric Resistivity Inverse Stress PSD Force Specific Heat Volume

Table 18.2: Acceleration and RS Acceleration

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meters/second2 [m/s2]
cm, g, dyne, oC, s, V, A

(cgs)

centimeters/second2 [cm/s2]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeters/second2 [mm/s2]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometers/second2 [μm/s2]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet/second2 [ft/s2]
in, lbm, lbf, oF, s, V, A

(Bin)

inches/second2 [in/s2]
mm, mg, ms

[Explicit Dynamics solvers]

millimeters/millisecond2 [mm/ms2]
m, kg, s

[ LS-DYNA solver]

meters/second2 [m/s2]
mm, t, s

[ LS-DYNA solver]

millimeters/second2 [mm/s2]
in,lbf, s

[ LS-DYNA solver]

inches/second2 [in/s2]

Table 18.3: Angle

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

radians [rad]
cm, g, dyne, oC, s, V, A

(cgs)

radians [rad]
mm, kg, N, oC, s, mV, mA

(nmm)

radians [rad]
μm, kg, μN, oC, s, V, mA

(μmks)

radians [rad]
ft, lbm, lbf, oF, s, V, A

(Bft)

radians [rad]
in, lbm, lbf, oF, s, V, A

(Bin)

radians [rad]

Table 18.4: Angular Acceleration

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

radians/second2 [rad/s2]
cm, g, dyne, oC, s, V, A

(cgs)

radians/second2 [rad/s2]
mm, kg, N, oC, s, mV, mA

(nmm)

radians/second2 [rad/s2]
μm, kg, μN, oC, s, V, mA

(μmks)

radians/second2 [rad/s2]
ft, lbm, lbf, oF, s, V, A

(Bft)

radians/second2 [rad/s2]
in, lbm, lbf, oF, s, V, A

(Bin)

radians/second2 [rad/s2]

Table 18.5: Angular Velocity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

radians/second [rad/s]
cm, g, dyne, oC, s, V, A

(cgs)

radians/second [rad/s]
mm, kg, N, oC, s, mV, mA

(nmm)

radians/second [rad/s]
μm, kg, μN, oC, s, V, mA

(μmks)

radians/second [rad/s]
ft, lbm, lbf, oF, s, V, A

(Bft)

radians/second [rad/s]
in, lbm, lbf, oF, s, V, A

(Bin)

radians/second [rad/s]
mm, mg, ms

[Explicit Dynamics solvers]

radians/millisecond [rad/ms]
m, kg, s

[ LS-DYNA solver]

radians/second [rad/s]
mm, t, s

[ LS-DYNA solver]

radians/second [rad/s]
in,lbf, s

[ LS-DYNA solver]

radians/second [rad/s]

Table 18.6: Area

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meters2 [m2]
cm, g, dyne, oC, s, V, A

(cgs)

centimeters2 [cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeters2 [mm2]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometers2 [μm2]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet2 [ft2]
in, lbm, lbf, oF, s, V, A

(Bin)

inches2 [in2]
mm, mg, ms

[Explicit Dynamics solvers]

millimeters2 [mm2]
m, kg, s

[ LS-DYNA solver]

meters2 [m2]
mm, t, s

[ LS-DYNA solver]

millimeters2 [mm2]
in,lbf, s

[ LS-DYNA solver]

inches2 [in2]

Table 18.7: Capacitance

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Farads [F]
cm, g, dyne, oC, s, V, A

(cgs)

Farads [F]
mm, kg, N, oC, s, mV, mA

(nmm)

microFarads [μF]
μm, kg, μN, oC, s, V, mA

(μmks)

picoFarads [pF]
ft, lbm, lbf, oF, s, V, A

(Bft)

Farads [F]
in, lbm, lbf, oF, s, V, A

(Bin)

Farads [F]

Table 18.8: Charge

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Coulombs [C]
cm, g, dyne, oC, s, V, A

(cgs)

Coulombs [C]
mm, kg, N, oC, s, mV, mA

(nmm)

milliCoulombs [mC]
μm, kg, μN, oC, s, V, mA

(μmks)

picoCoulombs [pC]
ft, lbm, lbf, oF, s, V, A

(Bft)

Coulombs [C]
in, lbm, lbf, oF, s, V, A

(Bin)

Coulombs [C]

Table 18.9: Charge Density

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Coulombs/meter2 [C/m2]
cm, g, dyne, oC, s, V, A

(cgs)

Coulombs/centimeter2 [C/cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

milliCoulombs/millimeter2 [mC/mm2]
μm, kg, μN, oC, s, V, mA

(μmks)

picoCoulombs/micrometer2 [pC/μm2]
ft, lbm, lbf, oF, s, V, A

(Bft)

Coulombs/foot2 [C/ft2]
in, lbm, lbf, oF, s, V, A

(Bin)

Coulombs/inch2 [C/in2]

Table 18.10: Conductivity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Watts/meter * degree Celsius [W/m * °C]

cm, g, dyne, oC, s, V, A

(cgs)

dynes/second * degree Celsius [dyne/s * °C]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeters/second3 * degree Celsius [t * mm/s3 * °C]
μm, kg, μN, oC, s, V, mA

(μmks)

picoWatts/micrometers * degree Celsius [pW/μm * °C]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * feet/second3 * degree Fahrenheit [(lbm/32.2)ft/s3 * °F]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inches/second3 * degree Fahrenheit [(lbm/386.4)in/s3 * °F]

Table 18.11: Current

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Amperes [A]
cm, g, dyne, oC, s, V, A

(cgs)

Amperes [A]
mm, kg, N, oC, s, mV, mA

(nmm)

milliAmperes [mA]
μm, kg, μN, oC, s, V, mA

(μmks)

picoAmperes [pA]
ft, lbm, lbf, oF, s, V, A

(Bft)

Amperes [A]
in, lbm, lbf, oF, s, V, A

(Bin)

Amperes [A]

Table 18.12: Current Density

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Amperes/meter2 [A/m2]
cm, g, dyne, oC, s, V, A

(cgs)

Amperes/centimeter2 [A/cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

milliAmperes/millimeter2 [mA/mm2]
μm, kg, μN, oC, s, V, mA

(μmks)

milliAmperes/micrometer2 [mA/μm2]
ft, lbm, lbf, oF, s, V, A

(Bft)

Amperes/foot2 [A/ft2]
in, lbm, lbf, oF, s, V, A

(Bin)

Amperes/inch2 [A/in2]

Table 18.13: Decay Constant

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

1/seconds [1/s]
cm, g, dyne, oC, s, V, A

(cgs)

1/seconds [1/s]
mm, kg, N, oC, s, mV, mA

(nmm)

1/seconds [1/s]
μm, kg, μN, oC, s, V, mA

(μmks)

1/seconds [1/s]
ft, lbm, lbf, oF, s, V, A

(Bft)

1/seconds [1/s]
in, lbm, lbf, oF, s, V, A

(Bin)

1/seconds [1/s]

Table 18.14: Density

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

kilograms/meter3 [kg/m3]
cm, g, dyne, oC, s, V, A

(cgs)

grams/cm3 [g/cm3]
mm, kg, N, oC, s, mV, mA

(nmm)

tons/millimeter3 [t/mm3]
μm, kg, μN, oC, s, V, mA

(μmks)

kilograms/micrometer3 [kg/μm3]
ft, lbm, lbf, oF, s, V, A

(Bft)

(slug/1)/foot3 [(lbm/32.2)1/ft3]
in, lbm, lbf, oF, s, V, A

(Bin)

(slinch/1)/inch3 [(lbm/386.4)1/in3]
mm, mg, ms

[Explicit Dynamics solvers]

grams/cm3 [g/cm3]
m, kg, s

[ LS-DYNA solver]

kilograms/meter3 [kg/m3]
mm, t, s

[ LS-DYNA solver]

tons/millimeter3 [t/mm3]
in,lbf, s

[ LS-DYNA solver]

(slinch/1)/inch3 [(lbm/386.4)1/in3]

Table 18.15: Displacement and RS Displacement

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meters [m]
cm, g, dyne, oC, s, V, A

(cgs)

centimeters [cm]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeters [mm]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometers [μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet [ft]
in, lbm, lbf, oF, s, V, A

(Bin)

inches [in]
mm, mg, ms

[Explicit Dynamics solvers]

millimeters [mm]
m, kg, s

[ LS-DYNA solver]

meters [m]
mm, t, s

[ LS-DYNA solver]

millimeters [mm]
in,lbf, s

[ LS-DYNA solver]

inches [in]

Table 18.16: Electric Conductance Per Unit Area

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Siemens/meter2 [S/m2]
cm, g, dyne, oC, s, V, A

(cgs)

Siemens/centimeter2 [S/cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

Siemens/millimeter2 [S/mm2]
μm, kg, μN, oC, s, V, mA

(μmks)

picoSiemens/micrometer2 [pS/μm2]
ft, lbm, lbf, oF, s, V, A

(Bft)

Siemens/foot2 [S/ft2]
in, lbm, lbf, oF, s, V, A

(Bin)

Siemens/inch2 [S/in2]

Table 18.17: Electric Conductivity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Siemens/meter [S/m]
cm, g, dyne, oC, s, V, A

(cgs)

Siemens/centimeter [S/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

Siemens/millimeter [S/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

picoSiemens/micrometer [pS/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

Siemens/foot [S/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

Siemens/inch [S/in]

Table 18.18: Electric Field

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Volts/meter [V/m]
cm, g, dyne, oC, s, V, A

(cgs)

Volts/centimeter [V/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

milliVolts/millimeter [mV/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

Volts/micrometer [V/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

Volts/foot [V/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

Volts/inch [V/in]

Table 18.19: Electric Flux Density

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Coulombs/meter2 [C/m2]
cm, g, dyne, oC, s, V, A

(cgs)

Coulombs/centimeter2 [C/cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

milliCoulombs/millimeter2 [mC/mm2]
μm, kg, μN, oC, s, V, mA

(μmks)

picoCoulombs/micrometer2 [pC/μm2]
ft, lbm, lbf, oF, s, V, A

(Bft)

Coulombs/foot2 [C/ft2]
in, lbm, lbf, oF, s, V, A

(Bin)

Coulombs/inch2 [C/in2]

Table 18.20: Electric Resistivity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Ohm * meters [Ohm * m]
cm, g, dyne, oC, s, V, A

(cgs)

Ohm * centimeters [Ohm * cm]
mm, kg, N, oC, s, mV, mA

(nmm)

Ohm * millimeters [Ohm * mm]
μm, kg, μN, oC, s, V, mA

(μmks)

teraOhm * micrometers [Tohm * μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

Ohm * Cir-mils/foot [Ohm * Cir-mil/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

Ohm * Cir-mils/inch [Ohm * Cir-mil/in]

Table 18.21: Energy

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Joules [J]
cm, g, dyne, oC, s, V, A

(cgs)

ergs [erg]
mm, kg, N, oC, s, mV, mA

(nmm)

milliJoules [mJ]
μm, kg, μN, oC, s, V, mA

(μmks)

picoJoules [pJ]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * feet2/second2 [(lbm/32.2)ft2/s2]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inches2/second2 [(lbm/386.4)in2/s2]
mm, mg, ms

[Explicit Dynamics solvers]

microJoules [μJ]
m, kg, s

[ LS-DYNA solver]

Joules [J]
mm, t, s

[ LS-DYNA solver]

milliJoules [mJ]
in,lbf, s

[ LS-DYNA solver]

slinch * inches2/second2 [(lbm/386.4)in2/s2]

Table 18.22: Energy Density by Mass

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Joules/kilograms [J/kg]
cm, g, dyne, oC, s, V, A

(cgs)

dynes * centimeters/grams [dyne * cm /g]
mm, kg, N, oC, s, mV, mA

(nmm)

milliJoules/tons [mJ/t]
μm, kg, μN, oC, s, V, mA

(μmks)

picoJoules/kilograms [pJ/kg]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet2 /seconds2 [ft2/s2]
in, lbm, lbf, oF, s, V, A

(Bin)

inches2/seconds2 [in2/sec 2]
mm, mg, ms

[Explicit Dynamics solvers]

Joules/kilograms [J/kg]
m, kg, s

[ LS-DYNA solver]

Joules/kilograms [J/kg]
mm, t, s

[ LS-DYNA solver]

milliJoules/tons [mJ/t]
in,lbf, s

[ LS-DYNA solver]

inches2/seconds2 [in2/sec 2]

Table 18.23: Energy Per Volume

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Joules/meter3 [J/m3]
cm, g, dyne, oC, s, V, A

(cgs)

ergs/centimeter3 [erg/cm3]
mm, kg, N, oC, s, mV, mA

(nmm)

milliJoules/millimeter3 [mJ/mm3]
μm, kg, μN, oC, s, V, mA

(μmks)

picoJoules/micrometer3 [pJ * um3]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * foot2/second2 * feet3[(lbm/32.2) * ft2/s2 * ft3]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inch2/second2 * inch3 [(lbm/386.4) * in2/s2 * in3)]

Table 18.24: Film Coefficient

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Watts/meter2 * degree Celsius [W/m2 * °C]
cm, g, dyne, oC, s, V, A

(cgs)

dyne/second * centimeter * degree Celsius [dyne/s * cm * °C]
mm, kg, N, oC, s, mV, mA

(nmm)

tons/second3 * degree Celsius [t/s3 * °C]
μm, kg, μN, oC, s, V, mA

(μmks)

picoWatts/micrometer2 * degree Celsius [pW/μm2 * °C]
ft, lbm, lbf, oF, s, V, A

(Bft)

(slug/1)/second3 * degree Fahrenheit [(lbm/32.2)1/s3 * °F]
in, lbm, lbf, oF, s, V, A

(Bin)

(slinch/1)/second3 * degree Fahrenheit [(lbm/386.4)1/s3 * °F]

Table 18.25: Force

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newtons [N]
cm, g, dyne, oC, s, V, A

(cgs)

dynes [dyne]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeters/second2 [t * mm/s2]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewtons [μN]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * feet/second2 [(lbm/32.2)ft/s2]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inches/second2 [(lbm/386.4)in/s2]
mm, mg, ms

[Explicit Dynamics solvers]

milliNewtons [mN]
m, kg, s

[ LS-DYNA solver]

Newtons [N]
mm, t, s

[ LS-DYNA solver]

Newtons [N]
in,lbf, s

[ LS-DYNA solver]

pound force (lbf)

Table 18.26: Force Intensity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newtons/meter [N/m]
cm, g, dyne, oC, s, V, A

(cgs)

dynes/centimeter [dyne/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

tons/second2 [t/s2]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewtons/micrometer [μN/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

(slug/1)/second2 [(lbm/32.2)1/s2]
in, lbm, lbf, oF, s, V, A

(Bin)

(slinch/1)/second2 [(lbm/386.4)1/s2]
mm, mg, ms

[Explicit Dynamics solvers]

Newtons/meter [N/m] or milliNewtons/millimeter [mN/mm]
m, kg, s

[ LS-DYNA solver]

Newtons/meter [N/m]
mm, t, s

[ LS-DYNA solver]

Newtons/millimeter [N/mm]
in,lbf, s

[ LS-DYNA solver]

pound force/inch [lbf/in]

Table 18.27: Force Per Angular Unit

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newtons/radian [N/rad]
cm, g, dyne, oC, s, V, A

(cgs)

dynes/radian [dyne/rad]
mm, kg, N, oC, s, mV, mA

(nmm)

Newtons/radian [N/rad]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewtons/radian [μN/rad]
ft, lbm, lbf, oF, s, V, A

(Bft)

pounds mass/radian [lbf/rad]
in, lbm, lbf, oF, s, V, A

(Bin)

pounds mass/radian [lbf/rad]

Table 18.28: Fracture Energy (Energy Release Rate)

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Joules/meter2 [J/m2]
cm, g, dyne, oC, s, V, A

(cgs)

erg/centimeter2 [erg/cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

milliJoules/millimeter2 [mJ/mm2]
μm, kg, μN, oC, s, V, mA

(μmks)

picoJoules/micrometer2 [pJ/μm2]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * feet2/seconds2 * feet2 [(lbm-ft2)/(s2) * ft2
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inch2/seconds2 * inch2 [(lbm-in2)/(s2) * in2

Table 18.29: Frequency

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Hertz[Hz]
cm, g, dyne, oC, s, V, A

(cgs)

Hertz[Hz]
mm, kg, N, oC, s, mV, mA

(nmm)

Hertz[Hz]
μm, kg, μN, oC, s, V, mA

(μmks)

Hertz[Hz]
ft, lbm, lbf, oF, s, V, A

(Bft)

Hertz[Hz]
in, lbm, lbf, oF, s, V, A

(Bin)

Hertz[Hz]

Table 18.30: Gasket Stiffness

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Pascals/meter [Pa/m]
cm, g, dyne, oC, s, V, A

(cgs)

dynes/centimeter3 [dyne/cm3]
mm, kg, N, oC, s, mV, mA

(nmm)

tons/second2 * millimeter2 [t/s2 * mm2]
μm, kg, μN, oC, s, V, mA

(μmks)

megaPascals/micrometer [MPa/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug/second2 * foot2 [(lbm/32.2)/s2 * ft2]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch/second2 * inch2 [(lbm/386.4)/s2 * in2]

Table 18.31: Heat Flux

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Watts/meter2 [W/m2]
cm, g, dyne, oC, s, V, A

(cgs)

dynes/second * centimeter [dyne/s * cm]
mm, kg, N, oC, s, mV, mA

(nmm)

tons/second3 [t/s3]
μm, kg, μN, oC, s, V, mA

(μmks)

picoWatts/micrometer2 [pW/μm2]
ft, lbm, lbf, oF, s, V, A

(Bft)

(slug/1)/second3 [(lbm/32.2)1/s3]
in, lbm, lbf, oF, s, V, A

(Bin)

(slinch/1)/second3 [(lbm/386.4)1/s3]

Table 18.32: Heat Generation

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Watts/meter3 [W/m3]
cm, g, dyne, oC, s, V, A

(cgs)

dynes/second * centimeter2 [dyne/s * cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

tons/second3 * millimeter [t/s3 * mm]
μm, kg, μN, oC, s, V, mA

(μmks)

picoWatts/micrometer3 [pW/μm3]
ft, lbm, lbf, oF, s, V, A

(Bft)

(slug/1)/second3 * foot [(lbm/32.2)1/s3 * ft]
in, lbm, lbf, oF, s, V, A

(Bin)

(slinch/1)/second3 * inch [(lbm/386.4)1/s3 * in]

Table 18.33: Heat Rate

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Watts [W]
cm, g, dyne, oC, s, V, A

(cgs)

dyne * centimeters/second [dyne * cm/s]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeters2/second3 [t * mm2/s3]
μm, kg, μN, oC, s, V, mA

(μmks)

picoWatts [pW]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * feet2/second3 [(lbm/32.2) * ft2/s3]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inches2/second3 [(lbm/386.4) * in2/s3]

Table 18.34: Impulse

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newton * second [N * s]
cm, g, dyne, oC, s, V, A

(cgs)

dyne * second [dyne * s]
mm, kg, N, oC, s, mV, mA

(nmm)

Newton * second [N * s]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewton * second [μN * s]
ft, lbm, lbf, oF, s, V, A

(Bft)

pounds mass * second [lbf * s]
in, lbm, lbf, oF, s, V, A

(Bin)

pounds mass * second [lbf * s]
mm, mg, ms

[Explicit Dynamics solvers]

microNewton * second [μN * s]
m, kg, s

[ LS-DYNA solver]

Newton * second [N * s]
mm, t, s

[ LS-DYNA solver]

Newton * second [N * s]
in,lbf, s

[ LS-DYNA solver]

pound force * second (lbf * second)

Table 18.35: Impulse Per Angular Unit

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newton * second/rad [N * s/rad]
cm, g, dyne, oC, s, V, A

(cgs)

dyne * second/radian [dyne * s/rad]
mm, kg, N, oC, s, mV, mA

(nmm)

Newton * second/rad [N * s/rad]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewton * second/radian [μN * s/rad]
ft, lbm, lbf, oF, s, V, A

(Bft)

pounds mass * second/radian [lbf * s/rad]
in, lbm, lbf, oF, s, V, A

(Bin)

pounds mass * second/radian [lbf * s/rad]

Table 18.36: Inductance

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Henries [H]
cm, g, dyne, oC, s, V, A

(cgs)

Henries [H]
mm, kg, N, oC, s, mV, mA

(nmm)

milliHenries [mH]
μm, kg, μN, oC, s, V, mA

(μmks)

teraHenries [TH]
ft, lbm, lbf, oF, s, V, A

(Bft)

Henries [H]
in, lbm, lbf, oF, s, V, A

(Bin)

Henries [H]

Table 18.37: Inverse Angle

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

1/radians [1/rad]
cm, g, dyne, oC, s, V, A

(cgs)

1/radians [1/rad]
mm, kg, N, oC, s, mV, mA

(nmm)

1/radians [1/rad]
μm, kg, μN, oC, s, V, mA

(μmks)

1/radians [1/rad]
ft, lbm, lbf, oF, s, V, A

(Bft)

1/radians [1/rad]
in, lbm, lbf, oF, s, V, A

(Bin)

1/radians [1/rad]


Note:  The units presented above are applicable when the Units are set to Radians. The applicable units are 1/degree [1/o] when the Units are set to Degrees.


Table 18.38: Inverse Length

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

1/meter [1/m]
cm, g, dyne, oC, s, V, A

(cgs)

1/centimeter [1/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

1/millimeter [1/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

1/micrometer [1/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

1/foot [1/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

1/inch [1/in]

Table 18.39: Inverse Stress

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

1/Pascal [1/Pa]
cm, g, dyne, oC, s, V, A

(cgs)

centimeters2/dyne [cm2/dyne]
mm, kg, N, oC, s, mV, mA

(nmm)

second2 * millimeters/ton [s2 * mm/t]
μm, kg, μN, oC, s, V, mA

(μmks)

1/megaPascal [1/MPa]
ft, lbm, lbf, oF, s, V, A

(Bft)

second2 * feet/slug [s2 * ft/(lbm/32.2)]
in, lbm, lbf, oF, s, V, A

(Bin)

second2 * inch/slinch [s2 * in/(lbm/386.4)]

Table 18.40: Length

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meters [m]
cm, g, dyne, oC, s, V, A

(cgs)

centimeters [cm]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeters [mm]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometers [μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet [ft]
in, lbm, lbf, oF, s, V, A

(Bin)

inches [in]
mm, mg, ms

[Explicit Dynamics solvers]

millimeters [mm]
m, kg, s

[ LS-DYNA solver]

meters [m]
mm, t, s

[ LS-DYNA solver]

millimeters [mm]
in,lbf, s

[ LS-DYNA solver]

inches [in]

Table 18.41: Magnetic Field Intensity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Amperes/meter [A/m]
cm, g, dyne, oC, s, V, A

(cgs)

Oersteds [Oe]
mm, kg, N, oC, s, mV, mA

(nmm)

milliAmperes/millimeter [mA/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

picoAmperes/micrometer [pA/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

Amperes/foot [A/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

Amperes/inch [A/in]

Table 18.42: Magnetic Flux

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Webers [Wb]
cm, g, dyne, oC, s, V, A

(cgs)

Maxwells [Mx]
mm, kg, N, oC, s, mV, mA

(nmm)

milliWebers [mWb]
μm, kg, μN, oC, s, V, mA

(μmks)

Webers [Wb]
ft, lbm, lbf, oF, s, V, A

(Bft)

Lines
in, lbm, lbf, oF, s, V, A

(Bin)

Lines

Table 18.43: Magnetic Flux Density

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Teslas [T]
cm, g, dyne, oC, s, V, A

(cgs)

Gauss [G]
mm, kg, N, oC, s, mV, mA

(nmm)

milliTeslas [mT]
μm, kg, μN, oC, s, V, mA

(μmks)

teraTeslas [TT]
ft, lbm, lbf, oF, s, V, A

(Bft)

Lines/foot2 [lines/ft2]
in, lbm, lbf, oF, s, V, A

(Bin)

Lines/inch2 [lines/in2]

Table 18.44: Mass

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

kilograms [kg]
cm, g, dyne, oC, s, V, A

(cgs)

grams [g]
mm, kg, N, oC, s, mV, mA

(nmm)

kilograms [kg]
μm, kg, μN, oC, s, V, mA

(μmks)

kilograms [kg]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug [lbm/32.2]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch [lbm/386.4]
mm, mg, ms

[Explicit Dynamics solvers]

milligrams [mg]
m, kg, s

[ LS-DYNA solver]

kilograms [kg]
mm, t, s

[ LS-DYNA solver]

tons [t]
in,lbf, s

[ LS-DYNA solver]

slinch [lbm/386.4]

Table 18.45: Material Impedance

Unit SystemMeasured in . . .
mm, mg, ms

[Explicit Dynamics solvers]

milligrams/millimeter2/second [mg/mm2/s]
m, kg, s

[ LS-DYNA solver]

kilograms/meter2/second [kg/m2/s]
mm, t, s

[ LS-DYNA solver]

tons/millimeter2/second [t/mm2/s]
in,lbf, s

[ LS-DYNA solver]

slinch/inch2/second [slinch/in2/s]

Table 18.46: Moment

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newton * meters [N * m]
cm, g, dyne, oC, s, V, A

(cgs)

dyne * centimeters [dyne * cm]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeters2/second2 [t * mm2/s2]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewton * micrometers [μN * μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * feet2/second2 [(lbm/32.2) * ft2/s2]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inches2/second2 [(lbm/386.4) * in2/s2]
mm, mg, ms

[Explicit Dynamics solvers]

microNewton * meters [μN * m]
m, kg, s

[ LS-DYNA solver]

Newton * meters [N * m]
mm, t, s

[ LS-DYNA solver]

Newton * millimeters [N * mm]
in,lbf, s

[ LS-DYNA solver]

pound force * inch [lbf * in]

Table 18.47: Moment of Inertia of Area

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meters4 [m4]
cm, g, dyne, oC, s, V, A

(cgs)

centimeters4 [cm4]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeters4 [mm4]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometers4 [μm4]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet4 [ft4]
in, lbm, lbf, oF, s, V, A

(Bin)

inches4 [in4]
mm, mg, ms

[Explicit Dynamics solvers]

millimeters4 [mm4]
m, kg, s

[ LS-DYNA solver]

meters4 [m4]
mm, t, s

[ LS-DYNA solver]

millimeters4 [mm4]
in,lbf, s

[ LS-DYNA solver]

inches4 [in4]

Table 18.48: Moment of Inertia of Mass

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

kilogram * meter2 [kg * m2]
cm, g, dyne, oC, s, V, A

(cgs)

gram * centimeter2 [g * cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeter2 [t * mm2]
μm, kg, μN, oC, s, V, mA

(μmks)

kilogram * micrometer2 [kg * μm2]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * feet2 [(lbm/32.2) * ft2]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inch2 [(lbm/386.4) * in2]
mm, mg, ms

[Explicit Dynamics solvers]

milligram * millimeter2 [mg * mm2]
m, kg, s

[ LS-DYNA solver]

kilogram * meter2 [kg * m2]
mm, t, s

[ LS-DYNA solver]

ton * millimeter2 [t * mm2]
in,lbf, s

[ LS-DYNA solver]

slinch * inch2 [slinch * in2]

Table 18.49: Normalized Value

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

unitless
cm, g, dyne, oC, s, V, A

(cgs)

unitless
mm, kg, N, oC, s, mV, mA

(nmm)

unitless
μm, kg, μN, oC, s, V, mA

(μmks)

unitless
ft, lbm, lbf, oF, s, V, A

(Bft)

unitless
in, lbm, lbf, oF, s, V, A

(Bin)

unitless

Table 18.50: Permeability

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Henries/meter [H/m]
cm, g, dyne, oC, s, V, A

(cgs)

Henries/centimeter [H/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

milliHenries/millimeter [mH/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

teraHenries/micrometer [TH/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

Henries/foot [H/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

Henries/inch [H/in]

Table 18.51: Permittivity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Farads/meter [F/m]
cm, g, dyne, oC, s, V, A

(cgs)

Farads/centimeter [F/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

microFarads/millimeter [μF/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

picoFarads/micrometer [pF/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

Farads/foot [F/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

Farads/inch [F/in]

Table 18.52: Poisson's Ratio

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

unitless
cm, g, dyne, oC, s, V, A

(cgs)

unitless
mm, kg, N, oC, s, mV, mA

(nmm)

unitless
μm, kg, μN, oC, s, V, mA

(μmks)

unitless
ft, lbm, lbf, oF, s, V, A

(Bft)

unitless
in, lbm, lbf, oF, s, V, A

(Bin)

unitless
mm, mg, ms

[Explicit Dynamics solvers]

unitless
m, kg, s

[ LS-DYNA solver]

unitless
mm, t, s

[ LS-DYNA solver]

unitless
in,lbf, s

[ LS-DYNA solver]

unitless

Table 18.53: Power

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Watts [W]
cm, g, dyne, oC, s, V, A

(cgs)

dyne * centimeters/second [dyne * c/s]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeters2/second3 [t * mm2/s3]
μm, kg, μN, oC, s, V, mA

(μmks)

picoWatts [pW]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * feet2/second3 [(lbm/32.2) * ft2/s3]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inches2/second3 [(lbm/386.4) * in2/s3]
mm, mg, ms

[Explicit Dynamics solvers]

milliWatts [mW]
m, kg, s

[ LS-DYNA solver]

Watts [W]
mm, t, s

[ LS-DYNA solver]

Newton * millimeters/second [N * mm/s]
in,lbf, s

[ LS-DYNA solver]

pound force * inch/second [lbf * in/s]

Table 18.54: Pressure

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Pascals [Pa]
cm, g, dyne, oC, s, V, A

(cgs)

dynes/centimeter2 [dyne/cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

ton/second2/millimeters [t/s2/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

megaPascals [MPa]
ft, lbm, lbf, oF, s, V, A

(Bft)

(slug/1)/second2/foot [(lbm/32.2)1/s2/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

(slinch/1)/second2/inch [(lbm/386.4)1/s2/in]
mm, mg, ms

[Explicit Dynamics solvers]

kiloPascals [kPa]
m, kg, s

[ LS-DYNA solver]

Pascals [Pa]
mm, t, s

[ LS-DYNA solver]

megaPascals [MPa]
in,lbf, s

[ LS-DYNA solver]

pounds/inch2 [lb/in2]

Table 18.55: PSD Acceleration

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

(meters/second2)2/Hertz [(m/s2)2/Hz]
cm, g, dyne, oC, s, V, A

(cgs)

(centimeters/second2)2/Hertz [(cm/s2)2/Hz]
mm, kg, N, oC, s, mV, mA

(nmm)

(millimeters/second2)2/Hertz [(mm/s2)2/Hz]
μm, kg, μN, oC, s, V, mA

(μmks)

(micrometers/second2)2/megahertz [(μm/s2)2/MHz]
ft, lbm, lbf, oF, s, V, A

(Bft)

(feet/second2)2/Hertz [(ft/s2)2/Hz]
in, lbm, lbf, oF, s, V, A

(Bin)

(inch/second2)2/Hertz [(in/s2)2/Hz]

Table 18.56: PSD Acceleration (G)

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

G2/Hertz [G2/Hz]
cm, g, dyne, oC, s, V, A

(cgs)

G2/Hertz [G2/Hz]
mm, kg, N, oC, s, mV, mA

(nmm)

G2/Hertz [G2/Hz]
μm, kg, μN, oC, s, V, mA

(μmks)

G2/Hertz [G2/Hz]
ft, lbm, lbf, oF, s, V, A

(Bft)

G2/Hertz [G2/Hz]
in, lbm, lbf, oF, s, V, A

(Bin)

G2/Hertz [G2/Hz]

Table 18.57: PSD Displacement

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meters2/Hertz [m2/Hz]
cm, g, dyne, oC, s, V, A

(cgs)

centimeters2/Hertz [cm2/Hz]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeters2/Hertz [mm2/Hz]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometers2/megaHertz [μm2/MHz]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet2/Hertz [ft2/Hz]
in, lbm, lbf, oF, s, V, A

(Bin)

inches2/Hertz [in2/Hz]

Table 18.58: PSD Force

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newtons2/Hertz [N2/Hz]
cm, g, dyne, oC, s, V, A

(cgs)

dynes2/Hertz [dyne2/Hz]
mm, kg, N, oC, s, mV, mA

(nmm)

((kilograms.millimeters)/second2)2/Hertz [((kg * mm)/s2)2/Hz]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewtons2/Hertz [μN2/Hz]
ft, lbm, lbf, oF, s, V, A

(Bft)

((pounds * mass/32.2) * feet)/second2))2/Hertz [((lb * m/32.2) * ft/s2))2/Hz]
in, lbm, lbf, oF, s, V, A

(Bin)

((pounds * mass/32.2) * inches)/second2))2/Hertz [((lb * m/32.2) * in/s2))2/Hz]

Table 18.59: PSD Moment

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

(Newtons * meters)2/Hertz [(N * m)2/Hz]
cm, g, dyne, oC, s, V, A

(cgs)

(dynes * centimeters)2/Hertz [(dyne * cm)2/Hz]
mm, kg, N, oC, s, mV, mA

(nmm)

((kilograms * millimeters2)/Second2)2/Hertz [((kg * mm2)/s2)2/Hz]
μm, kg, μN, oC, s, V, mA

(μmks)

(microNewtons * micrometers)2/Hertz [(μN * μm)2/Hz]
ft, lbm, lbf, oF, s, V, A

(Bft)

((pounds * mass/32.2) * feet2)/second2) 2/Hertz [((lb * m/32.2) * ft2)/s2)2/Hz]
in, lbm, lbf, oF, s, V, A

(Bin)

((pounds * mass/386.4) * inches2)/second2)2/Hertz [((lb * m/386.4) * in2)/s2)2/Hz]

Table 18.60: PSD Pressure

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Pascals2/Hertz [Pa2/Hz]
cm, g, dyne, oC, s, V, A

(cgs)

(dynes/centimeter2)2/Hertz [(dyne/cm2)2/Hz]
mm, kg, N, oC, s, mV, mA

(nmm)

(kilograms/(millimeter * second2))2/Hertz [(kg/(mm * s2))2/Hz]
μm, kg, μN, oC, s, V, mA

(μmks)

megaNewtons2/Hertz [MPa2/Hz]
ft, lbm, lbf, oF, s, V, A

(Bft)

(slug/(foot * second2))2/Hertz [((lbm/32.2)/(ft * s2))2/Hz]
in, lbm, lbf, oF, s, V, A

(Bin)

(slinch/(inch * second2))2/Hertz [((lbm/386.4)/(in * s2))2/Hz]

Table 18.61: PSD Strain

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

(meters/meter)2/Hertz [(m/m)2/Hz]
cm, g, dyne, oC, s, V, A

(cgs)

(centimeters/centimeter)2/Hertz [(cm/cm)2/Hz]
mm, kg, N, oC, s, mV, mA

(nmm)

(millimeters/millimeter)2/Hertz [(mm/mm)2/Hz]
μm, kg, μN, oC, s, V, mA

(μmks)

(micrometers/micrometer)2/Hertz [(μm/μm)2/Hz]
ft, lbm, lbf, oF, s, V, A

(Bft)

(feet/foot)2/Hertz [(ft/ft)2/Hz]
in, lbm, lbf, oF, s, V, A

(Bin)

(inches/inch)2/Hertz [(in/in)2/Hz]

Table 18.62: PSD Stress

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Pascals2/Hertz [Pa2/Hz]
cm, g, dyne, oC, s, V, A

(cgs)

(dynes/centimeter2)2/Hertz [(dyne/cm2)2/Hz]
mm, kg, N, oC, s, mV, mA

(nmm)

(kilograms/(millimeter * second2))2/Hertz [(kg/(mm * s2))2/Hz]
μm, kg, μN, oC, s, V, mA

(μmks)

megaNewtons2/Hertz [MPa2/Hz]
ft, lbm, lbf, oF, s, V, A

(Bft)

(slug/(foot * second2))2/Hertz [((lbm/32.2)/(ft * s2))2/Hz]
in, lbm, lbf, oF, s, V, A

(Bin)

(slinch/(inch * second2))2/Hertz [((lbm/386.4)/(in * s2))2/Hz]

Table 18.63: PSD Velocity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

(meters/second)2/Hertz [(m/s)2/Hz]
cm, g, dyne, oC, s, V, A

(cgs)

(centimeters/second)2/Hertz [(cm/s)2/Hz]
mm, kg, N, oC, s, mV, mA

(nmm)

(millimeters/second)2/Hertz [(mm/s)2/Hz]
μm, kg, μN, oC, s, V, mA

(μmks)

(micrometers/second)2/megahertz [(μm/s)2/MHz]
ft, lbm, lbf, oF, s, V, A

(Bft)

(feet/second)2/Hertz [(ft/s)2/Hz]
in, lbm, lbf, oF, s, V, A

(Bin)

(inches/second)2/Hertz [(in/s)2/Hz]

Table 18.64: Relative Permeability

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

unitless
cm, g, dyne, oC, s, V, A

(cgs)

unitless
mm, kg, N, oC, s, mV, mA

(nmm)

unitless
μm, kg, μN, oC, s, V, mA

(μmks)

unitless
ft, lbm, lbf, oF, s, V, A

(Bft)

unitless
in, lbm, lbf, oF, s, V, A

(Bin)

unitless

Table 18.65: Relative Permittivity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

unitless
cm, g, dyne, oC, s, V, A

(cgs)

unitless
mm, kg, N, oC, s, mV, mA

(nmm)

unitless
μm, kg, μN, oC, s, V, mA

(μmks)

unitless
ft, lbm, lbf, oF, s, V, A

(Bft)

unitless
in, lbm, lbf, oF, s, V, A

(Bin)

unitless

Table 18.66: Rotational Damping

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newton * meter * seconds/radian [N * m * s/rad]
cm, g, dyne, oC, s, V, A

(cgs)

dyne * centimeter * seconds/radian [dyne * cm * s/rad]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeter2 * seconds/second2 * radian [t * mm2 * s/s2 * rad]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewton * micrometer * seconds/radian [μN * μm * s/rad]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * foot2 * seconds/second2 * radian [(lbm/32.2) * ft2 * s/s2 * rad]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inch2 * seconds/second2 * radian [(lbm/386.4) * in2 * s/s2 * rad]

Table 18.67: Rotational Stiffness

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newton * meters/radian [N * m/rad]
cm, g, dyne, oC, s, V, A

(cgs)

dynes * centimeters/radian [dyne * cm/rad]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeters2/second2 * radian [t * mm2/s2 * rad]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewton * micrometers/radian [μN*μm/rad]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * feet2/second2 * radian [(lbm/32.2) * ft2/s2 * rad]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inches2/second2 * radian [(lbm/386.4) * in2/s2 * rad]

Table 18.68: Seebeck Coefficient

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Volts/degree Celsius [V/°C]
cm, g, dyne, oC, s, V, A

(cgs)

Volts/degree Celsius [V/°C]
mm, kg, N, oC, s, mV, mA

(nmm)

milliVolts/degree Celsius [mV/°C]
μm, kg, μN, oC, s, V, mA

(μmks)

Volts/degree Celsius [V/°C]
ft, lbm, lbf, oF, s, V, A

(Bft)

Volts/degree Fahrenheit [V/°F]
in, lbm, lbf, oF, s, V, A

(Bin)

Volts/degree Fahrenheit [V/°F]

Table 18.69: Section Modulus

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meters3 [m3]
cm, g, dyne, oC, s, V, A

(cgs)

centimeters3 [cm3]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeters3 [mm3]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometers3 [μm3]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet3 [ft3]
in, lbm, lbf, oF, s, V, A

(Bin)

inches3 [in3]
mm, mg, ms

[Explicit Dynamics solvers]

millimeters3 [mm3]
m, kg, s

[ LS-DYNA solver]

meters3 [m3]
mm, t, s

[ LS-DYNA solver]

millimeters3 [mm3]
in,lbf, s

[ LS-DYNA solver]

inch3 [in3]

Table 18.70: Shear Elastic Strain

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

radians [rad]
cm, g, dyne, oC, s, V, A

(cgs)

radians [rad]
mm, kg, N, oC, s, mV, mA

(nmm)

radians [rad]
μm, kg, μN, oC, s, V, mA

(μmks)

radians [rad]
ft, lbm, lbf, oF, s, V, A

(Bft)

radians [rad]
in, lbm, lbf, oF, s, V, A

(Bin)

radians [rad]

Table 18.71: Shock Velocity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

seconds/meters [s/m]
cm, g, dyne, oC, s, V, A

(cgs)

seconds/centimeters [s/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

seconds/millimeters [s/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

seconds/micrometers [s/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

seconds/feet [s/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

seconds/inches [s/in]

Table 18.72: Specific Heat

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Joules/kilogram * degree Celsius [J/kg * °C]
cm, g, dyne, oC, s, V, A

(cgs)

dyne * centimeters/gram * degree Celsius [dyne*cm/g * °C]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeters2/second2 * degree Celsius [mm2/s2 * °C]
μm, kg, μN, oC, s, V, mA

(μmks)

picoJoules/kilogram * degree Celsius [pJ/kg * °C]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet2/second2 * degree Fahrenheit [ft2/s2 * °F]
in, lbm, lbf, oF, s, V, A

(Bin)

inches2/second2 * degree Fahrenheit [in2/s2 * °F]
mm, mg, ms

[Explicit Dynamics solvers]

Joules/kilogram * degree Kelvin [J/kg * °K]
m, kg, s

[ LS-DYNA solver]

Joules/kilogram/degree Kelvin [J/kg/°K]
mm, t, s

[ LS-DYNA solver]

milliJoules/ton/degree Kelvin [mJ/t/oK]
in,lbf, s

[ LS-DYNA solver]

inch2/second2/°F [in2/s2/°F]

Table 18.73: Specific Weight

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newtons/meter3 [N/m3]
cm, g, dyne, oC, s, V, A

(cgs)

dynes/centimeter3 [dyne/cm3]
mm, kg, N, oC, s, mV, mA

(nmm)

tons/second2 * millimeters2 [t/s2 * mm2]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewtons/micrometer3 [μN/μm3]
ft, lbm, lbf, oF, s, V, A

(Bft)

(slug/1)/second2 * feet2 [(lbm/32.2)1/s2 * ft2]
in, lbm, lbf, oF, s, V, A

(Bin)

(slinch/1)/second2 * inch2 [(lbm/386.4)1/s2 * in2]
mm, mg, ms

[Explicit Dynamics solvers]

megaNewtons/meter3 [MN/m3]
m, kg, s

[ LS-DYNA solver]

Newtons/meter3 [N/m3]
mm, t, s

[ LS-DYNA solver]

Newtons/millimeter3 [N/mm3]
in,lbf, s

[ LS-DYNA solver]

pound force/inch3 [lbf/in3]

Table 18.74: Square Root of Length

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meter0.5 [m0.5]
cm, g, dyne, oC, s, V, A

(cgs)

centimeter0.5 [cm0.5]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeter0.5 [mm0.5]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometer0.5 [μm0.5]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet0.5 [ft0.5]
in, lbm, lbf, oF, s, V, A

(Bin)

inch0.5 [in0.5]

Table 18.75: Stiffness

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newtons/meter [N/m]
cm, g, dyne, oC, s, V, A

(cgs)

dynes/centimeter [dyne/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

Newtons/millimeter [N/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewtons/micrometer [μN/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

pound force/foot [lbf/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

pound force/inch [lbf/in]
mm, mg, ms

[Explicit Dynamics solvers]

Newtons/meter [N/m] or milliNewtons/millimeter [mN/mm]
m, kg, s

[ LS-DYNA solver]

Newtons/meter [N/m]
mm, t, s

[ LS-DYNA solver]

Newtons/millimeter [N/m]
in,lbf, s

[ LS-DYNA solver]

pound force/inch [lbf/in]

Table 18.76: Strain and RS Strain

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meter/meter [m/m]
cm, g, dyne, oC, s, V, A

(cgs)

centimeter/centimeter [cm/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeter/millimeter [mm/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometer/micrometer [μm/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet/foot [ft/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

inch/inch [in/in]
mm, mg, ms

[Explicit Dynamics solvers]

millimeter/millimeter [mm/mm]
m, kg, s

[ LS-DYNA solver]

meter/meter [m/m]
mm, t, s

[ LS-DYNA solver]

millimeter/millimeter [mm/mm]
in,lbf, s

[ LS-DYNA solver]

inch/inch [in/in]

Table 18.77: Strength

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Pascals [Pa]
cm, g, dyne, oC, s, V, A

(cgs)

dynes/centimeter2 [dyne/cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

ton/second2 * millimeters [t/s2 * mm]
μm, kg, μN, oC, s, V, mA

(μmks)

megaPascals [MPa]
ft, lbm, lbf, oF, s, V, A

(Bft)

(slug/1)/second2 * foot [(lbm/32.2)1/s2 * ft]
in, lbm, lbf, oF, s, V, A

(Bin)

(slinch/1)/second2 * inch [(lbm/386.4)1/s2 * in]
mm, mg, ms

[Explicit Dynamics solvers]

kiloPascals [kPa]
m, kg, s

[ LS-DYNA solver]

Pascals [Pa]
mm, t, s

[ LS-DYNA solver]

megaPascals [MPa]
in,lbf, s

[ LS-DYNA solver]

pounds/inch2 [lb/in2]

Table 18.78: Stress and RS Stress

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Pascals [Pa]
cm, g, dyne, oC, s, V, A

(cgs)

dynes/centimeter2 [dyne/cm2]
mm, kg, N, oC, s, mV, mA

(nmm)

ton/second2 * millimeters [t/s2 * mm]
μm, kg, μN, oC, s, V, mA

(μmks)

megaPascals [MPa]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug/second2 * foot [(lbm/32.2)/s2 * ft]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch/second2 * inch [(lbm/386.4)/s2 * in]
mm, mg, ms

[Explicit Dynamics solvers]

kiloPascals [kPa]
m, kg, s

[ LS-DYNA solver]

Pascals [Pa]
mm, t, s

[ LS-DYNA solver]

megaPascals [MPa]
in,lbf, s

[ LS-DYNA solver]

pounds/inch2 [lb/in2]

Table 18.79: Stress Intensity Factor

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Pascal * meter0.5 [Pa * m0.5]
cm, g, dyne, oC, s, V, A

(cgs)

dyne * centimeter–2 * centimeter0.5 [dyne * cm–2* cm0.5]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeter–1 * second–2 * millimeter0.5 [ton * mm–1 * s–2 * mm0.5]
μm, kg, μN, oC, s, V, mA

(μmks)

megaPascal * micrometer0.5 [MPa * μm0.5]
ft, lbm, lbf, oF, s, V, A

(Bft)

lbm_ft * feet–1 * second–2 * feet0.5 [lbm_ft * ft–1 * s–2 * ft0.5]
in, lbm, lbf, oF, s, V, A

(Bin)

lbm_inch * inch–1 * second–2 * inch0.5 [lbm_in * in–1 * s–2 * in0.5]

Table 18.80: Thermal Capacitance

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Joules/degree Celsius [J/°C]
cm, g, dyne, oC, s, V, A

(cgs)

ergs/degree Celsius [erg/°C]
mm, kg, N, oC, s, mV, mA

(nmm)

milliJoules/degree Celsius [mJ/°C]
μm, kg, μN, oC, s, V, mA

(μmks)

picoJoules/degree Celsius [pJ/°C]
ft, lbm, lbf, oF, s, V, A

(Bft)

BTU/degree Fahrenheit [BTU/°F]
in, lbm, lbf, oF, s, V, A

(Bin)

BTU/degree Fahrenheit [BTU/°F]

Table 18.81: Thermal Conductance - 3D Face and 2D Edge

For Thermal Conductance on 3D Faces and 2D Edges, the units are the same as those for Film Coefficient.


Table 18.82: Thermal Conductance - 3D Edges and Vertices

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Watts/degree Celsius [W/°C]
cm, g, dyne, oC, s, V, A

(cgs)

dyne * centimeter/second * degree Celsius [dyne * cm/s * °C]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeter2/second3 * degree Celsius [t * mm2/s3 * °C]
μm, kg, μN, oC, s, V, mA

(μmks)

picoWatts/degree Celsius [pW/°C]
ft, lbm, lbf, oF, s, V, A

(Bft)

slug * feet2/second3 * degree Fahrenheit [slug * ft2/s3 * °F]
in, lbm, lbf, oF, s, V, A

(Bin)

slinch * inch2/second3 * degree Fahrenheit [slinch * in2/s3 * °F]

Table 18.83: Thermal Expansion

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

1/degree Celsius [1/°C]
cm, g, dyne, oC, s, V, A

(cgs)

1/degree Celsius [1/°C]
mm, kg, N, oC, s, mV, mA

(nmm)

1/degree Celsius [1/°C]
μm, kg, μN, oC, s, V, mA

(μmks)

1/degree Celsius [1/°C]
ft, lbm, lbf, oF, s, V, A

(Bft)

1/degree Fahrenheit [1/°F]
in, lbm, lbf, oF, s, V, A

(Bin)

1/degree Fahrenheit [1/°F]
mm, mg, ms

[Explicit Dynamics solvers]

microJoules/degree Kelvin [μJ/°K]
m, kg, s

[ LS-DYNA solver]

1/degree Kelvin [1/°K]
mm, t, s

[ LS-DYNA solver]

1/degree Kelvin [1/°K]
in,lbf, s

[ LS-DYNA solver]

1/degree Fahrenheit [1/°F]

Table 18.84: Temperature

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

degrees Celsius [°C]
cm, g, dyne, oC, s, V, A

(cgs)

degrees Celsius [°C]
mm, kg, N, oC, s, mV, mA

(nmm)

degrees Celsius [°C]
μm, kg, μN, oC, s, V, mA

(μmks)

degrees Celsius [°C]
ft, lbm, lbf, oF, s, V, A

(Bft)

degrees Fahrenheit [°F]
in, lbm, lbf, oF, s, V, A

(Bin)

degrees Fahrenheit [°F]
mm, mg, ms

[Explicit Dynamics solvers]

degrees Kelvin [°K]
m, kg, s

[ LS-DYNA solver]

degrees Kelvin [°K]
mm, t, s

[ LS-DYNA solver]

degrees Kelvin [°K]
in,lbf, s

[ LS-DYNA solver]

degrees Fahrenheit [°F]

Table 18.85: Temperature Difference

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

degrees Celsius [°C]
cm, g, dyne, oC, s, V, A

(cgs)

degrees Celsius [°C]
mm, kg, N, oC, s, mV, mA

(nmm)

degrees Celsius [°C]
μm, kg, μN, oC, s, V, mA

(μmks)

degrees Celsius [°C]
ft, lbm, lbf, oF, s, V, A

(Bft)

degrees Fahrenheit [oF]
in, lbm, lbf, oF, s, V, A

(Bin)

degrees Fahrenheit [°F]
mm, mg, ms

[Explicit Dynamics solvers]

degrees Kelvin [°K]

Table 18.86: Temperature Gradient

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

degrees Celsius/meter [°C/m]
cm, g, dyne, oC, s, V, A

(cgs)

degrees Celsius/centimeter [°C/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

degrees Celsius/millimeter [°C/mm]
μm, kg, μN, oC, s, V, mA

(μmks)

degrees Celsius/micrometer [°C/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

degrees Fahrenheit/foot [°F/ft]
in, lbm, lbf, oF, s, V, A

(Bin)

degrees Fahrenheit/inch [°F/in]
mm, mg, ms

[Explicit Dynamics solvers]

degrees Kelvin/millimeter [°K/mm]

Table 18.87: Time

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

seconds [s]
cm, g, dyne, oC, s, V, A

(cgs)

seconds [s]
mm, kg, N, oC, s, mV, mA

(nmm)

seconds [s]
μm, kg, μN, oC, s, V, mA

(μmks)

seconds [s]
ft, lbm, lbf, oF, s, V, A

(Bft)

seconds [s]
in, lbm, lbf, oF, s, V, A

(Bin)

seconds [s]
mm, mg, ms

[Explicit Dynamics solvers]

milliseconds [ms]
m, kg, s

[ LS-DYNA solver]

seconds [s]
mm, t, s

[ LS-DYNA solver]

seconds [s]
in,lbf, s

[ LS-DYNA solver]

seconds [s]

Table 18.88: Translational Damping

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Newton * seconds/meter [N * s/m]
cm, g, dyne, oC, s, V, A

(cgs)

dyne * seconds/centimeter [dyne * s/cm]
mm, kg, N, oC, s, mV, mA

(nmm)

ton * millimeter * seconds/second2 * millimeter [t * mm * s/s2 * mm]
μm, kg, μN, oC, s, V, mA

(μmks)

microNewton * seconds/micrometer [μN * s/μm]
ft, lbm, lbf, oF, s, V, A

(Bft)

slugfoot * seconds/second2 * foot [(lbm/32.2)ft * s/s2 * ft]
in, lbm, lbf, oF, s, V, A

(Bin)

slinchinch * seconds/second2 * inch [(lbm/386.4)in * s/s2 * in]

Table 18.89: Velocity and RS Velocity

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meters/second [m/s]
cm, g, dyne, oC, s, V, A

(cgs)

centimeters/second [cm/s]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeters/second [mm/s]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometers/second [μm/s]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet/second [ft/s]
in, lbm, lbf, oF, s, V, A

(Bin)

inches/second [in/s]
mm, mg, ms

[Explicit Dynamics solvers]

meters/second [m/s] or millimeters/millisecond [mm/ms]
m, kg, s

[ LS-DYNA solver]

meters/second [m/s]
mm, t, s

[ LS-DYNA solver]

millimeters/second [mm/s]
in,lbf, s

[ LS-DYNA solver]

inches/second [in/s]

Table 18.90: Voltage

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

Volts [V]
cm, g, dyne, oC, s, V, A

(cgs)

Volts [V]
mm, kg, N, oC, s, mV, mA

(nmm)

milliVolts [mV]
μm, kg, μN, oC, s, V, mA

(μmks)

Volts [V]
ft, lbm, lbf, oF, s, V, A

(Bft)

Volts [V]
in, lbm, lbf, oF, s, V, A

(Bin)

Volts [V]

Table 18.91: Volume

Unit SystemMeasured in . . .
m, kg, N, oC, s, V, A

(mks)

meters3 [m3]
cm, g, dyne, oC, s, V, A

(cgs)

centimeters3 [cm3]
mm, kg, N, oC, s, mV, mA

(nmm)

millimeters3 [mm3]
μm, kg, μN, oC, s, V, mA

(μmks)

micrometers3 [μm3]
ft, lbm, lbf, oF, s, V, A

(Bft)

feet3 [ft3]
in, lbm, lbf, oF, s, V, A

(Bin)

inches3 [in3]
mm, mg, ms

[Explicit Dynamics solvers]

millimeters3 [mm3]
m, kg, s

[ LS-DYNA solver]

meters3 [m3]
mm, t, s

[ LS-DYNA solver]

millimeters3 [mm3]
in,lbf, s

[ LS-DYNA solver]

inches3 [in3]