UNITS AND CONSTANT

Definitions:

Nominal size:

            The size designation used for general identification. The nominal size of a shaft and a hole are the same. This value is often expressed as a fraction.

Basic size:

            The exact theoretical size of a part.  This is the value from which limit dimensions are computed.  Basic size is a four decimal place equivalent to the nominal size. The number of significant digits imply the accuracy of the dimension.

example: nominal size = 1 1/4

basic size = 1.2500

Design size:

            The ideal size for each component (shaft and hole) based upon a selected fit. The difference between the design size of the shaft and the design size of the hole is equal to the allowance of the fit. The design size of a part corresponds to the Maximum Material Condition (MMC). That is, the largest shaft permitted by the limits and the smallest hole. Emphasis is placed upon the design size in the writing of the actual limit dimension, so the design size is placed in the top position of the pair. 

Tolerance: 

            The total amount by which a dimension is allowed to vary. For fractional linear dimensions we have assumed a bilateral tolerance of 1/64 inch. For the fit of a shaft/hole combination, the tolerance is considered to be unilateral, that is, it is only applied in one direction from design size of the part. Standards for limits and fits state that tolerances are applied such that the hole size can only vary larger from design size and the shaft size smaller.

Basic hole system:

            Most common system for limit dimensions.  In this system the design size of the hole is taken to be equivalent to the basic size for the pair (see above). This means that the lower (in size) limit of the hole dimension is equal to design size. The basic hole system is more frequently used since most hole generating devices are of fixed size (for example, drills, reams, etc.) When designing using purchased components with fixed outer diameters (bearings, bushings, etc.) a basic shaft system may be used.

Allowance:

            The allowance is the intended difference in the sizes of mating parts. This allowance may be: positive (indicated with a "+" symbol), which means there is intended clearance between parts; negative("-"), for intentional interference: or "zero allowance" if the two parts are intended to be the "same size".  

Base and Supplementary Units

Quantity Unit Symbol
Length meter m
Mass kilogram kg
Time second s
Electric current ampere A
Thermodynamic temperature Kelvin K
Luminous intensity candela cd
Molecular substance mole mol
Plane angle radian rad
Solid angle steradian sr

Derived Units

Quantity Unit Symbol

Space and Time

Area square meter
Volume cubic meter
Velocity meter per second m/s
Acceleration meter per second per second m/s²
Angular velocity radian per second rad/s
Angular acceleration radian per second per second rad/s²
Frequency hertz Hz (cycle/s)
Rotational speed revolution per second
revolution per minute
r/s
r/m

Mechanics

Density kilogram per cubic meter kg/m³
Momentum kilogram meter per second kg·m/s
Moment of inertia kilogram meter squared kg·m³
Force newton N (kg·m/s²)
Torque, moment of force newton meter N·m
Energy, work, heat quantity joule J (N·m)
Power watt W (J/s)
Pressure, stress pascal Pa (N/m²)

Heat

Customary temperature degree Celsius °C
Thermal conductivity watt per meter Kelvin W/(m·K)
Entropy joule per Kelvin J/K
Specific heat joule per kilogram Kelvin J/(kg·K)

Light

Luminous flux lumen lm (cd·sr)
Illumination lux lx (lm/m²)
Luminance candela per square meter cd/m²

Viscosity

Kinematic viscosity square meter per second m²/s
Dynamic (absolute) viscosity pascal second Pa·s

 

Quantity Equivalent Dimensions S.I. units
Mass   M Kilogram (kg)
Length   L Metre (m)
Time   T Second (s)
Frequency cycles/unit time T-1 Hertz (Hz)
Area length x width L2 m2
Volume length x height x width L3 m3
Density Mass/unit volume ML-3 kg/m3
Velocity Distance/unit time LT-1 m/s
Acceleration Velocity/unit time LT-2 m/s2
Force mass x acceleration MLT-2 Newton
Weight mass x gravitational acceleration  MLT-2 Kilogram 
Pressure or Stress force/unit area ML-1T-2 Pascal (Pa)
Moment of Inertia mass x length2 ML2 kg m2
Work force x distance ML2T-2 Joule (J)
Energy Work capacity ML2T-2 Joule (J)
Potential Energy mass x gravitational acceleration x height raised ML2T-2 Joule (J)
Kinetic Energy 1/2 mass x velocity2 ML2T-2 Joule (J)
Power Work/unit time ML2T-3 Watt (W)
Momentum Mass x velocity MLT-1  

CONVERSIONS

Millibar (mb): 1 mb = 100 Pa; 1 Pa = 0.01 mb

Celsius: oC = K – 273.15; K = oC + 273.15

Fahrenheit: oF = 9/5(oC) + 32; oC = 5/9(oF-32)  

USEFUL NUMERICAL CONSTANTS

Universal Gas Constant (R)                                                                                8.3143 J K-1 mol-1

Stefan-Boltzmann constant (s)                                                                          56.696 x 10-9 W m-2 K-4

Planck constant (h)                                                                                              0.66262 x 10-33 J s

Velocity of light (c)                                                                                              299.8 x 106 m s-1

Wien’s constant                                                                                                  2897 mm

Acceleration due to gravity                                                                               9.80665 m s-2 

Molecular weight of dry air                                                                                28.97 g mol-1

Density of dry air                                                                                                 1.209 kg m-3

Specific heat of air at constant pressure (Cp)                                                  1004 J K-1 kg-1

Gas constant for dry air (Rd)                                                                               287 J kg-1 K-1

Standard atmospheric pressure                                                                         101.3 kPa 

Gas constant for water vapor (Rv)                                                                     461 J kg-1 K-1

Specific heat of water vapor at constant pressure                                         1952 J K-1 kg-1

Lastly updated on Tuesday, December 23, 2003 , 06:54 PM