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[Technical Data]  Quantifi ers, Unit Symbols, Chemical Symbols and Symbols of Elements   Excerpts from JIS Z 8202
                                     Calculation of Cubic Volume and Weight / Physical Properties of Materials



           ■Greek Symbols                              ■Name of Elements and Atomic Symbols
            Uppercase  Lowercase  Pronunciation  Conventional Usage  Atomic  Name  Symbol  Atomic  Name  Symbol
                           alpha      Angle, Coeffi  cient  Number             Number
                           beta       Angle, Coeffi  cient  1  Hydrogen   H      53  Iodine     I
                           gamma      Angle, Weight Per Unit Area,  2  Helium  He  54  Xenon  Xe
                                      Relationship(Uppercase)  3  Lithium  Li  55  Cesium     Cs
                           delta      Small Change, Density, Displacement  4  Beryllium  Be  56  Barium  Ba
                           epsilon    Small Amount, Distortion  5  Boron  B    57  Lanthanum  La
                           zeta       Variable           6   Carbon     C      58  Cerium     Ce
                           eta        Variable           7   Nitrogen   N      59  Praseodymium  Pr
                           theta      Angle, Temperature, Time  8  Oxygen  O   60  Neodymium  Nd
                           iota                          9   Fluorine   F      61  Promethium  Pm
                           kappa      Radius of Gyration  10  Neon      Ne     62  Samarium   Sm
                           lambda     Wavelength, Characteristic Value  11  Sodium  Na  63  Europium  Eu
                           mu         Friction Coeffi  cient  12  Magnesium  Mg  64  Gadolinium  Gd
                                      10 -6 (Micro)      13  Aluminum   Al     65  Terbium    Tb
                           nu         Frequency          14  Silicon    Si     66  Dysprosium  Dy
                           xi         Variable           15  Phosphorous  P    67  Holmium    Ho
                           omicron                       16  Sulfur     S      68  Erbium     Er
                           pi         Circle Ratio(3.14159...)
                                      Angle              17  Chlorine   Cl     69  Thulium    Tm
                                                             Argon
                                                         18
                                                                                   Ytterbium
                                                                                              Yb
                                                                        Ar
                                                                               70
                                      Symbol of Product(Uppercase)
                           rho        Radius, Density    19  Potassium  K Ca   71  Lutetium   Lu
                                                                                   Hafnium
                                                                                              Hf
                                                                               72
                                                         20
                                                             Calcium
                           sigma      Stress, Standard Deviation
                                      Summation(Uppercase)  21  Scandium  Sc   73  Tantalum   Ta
                           tau        Time Constant, Time, Torque  22  Titanium  Ti  74  Tungsten  W
                           upsilon                       23  Vanadium   V      75  Rhenium    Re
                           phi        Angle, Function, Diameter  24  Chromium  Cr  76  Osmium  Os
                           chi                           25  Manganese  Mn     77  Iridium    Ir
                           psi        Angle, Function    26  Iron       Fe     78  Platinum   Pt
                           omega      Angular Verocity=2πf  27  Cobalt  Co     79  Gold       Au
                                      Ohm:Unit of Electric  28  Nickel  Ni     80  Mercury    Hg
                                      Resistance(Uppercase)  29  Copper  Cu    81  Thallium   Tl
           Reference         unless otherwise specifi ed, lowercase letters are the norm.  30  Zinc  Zn  82  Lead  Pb
                                                         31  Gallium    Ga     83  Bismuth    Bi
           ■Characteristics of Materials                 32  Germanium  Ge     84  Polonium   Po
                                                                                              At
                                                                                   Astatine
                                                                        As
                                                             Arsenic
                                                                               85
                                                         33
                               Thermal Expansion         34  Selenium   Se     86  Radon      Rn
                        Specifi c            Young's Modulus  35  Bromine  Br   87  Francium   Fr
               Material           Coeffi  cient
                        Gravity                          36  Krypton    Kr     88  Radium     Ra
                                  ×10 -6 /˚C  {Kgf/mm 2 }  37  Rubidium  Rb    89  Actinium   Ac
            Mild Steel     7.85      11.7       21000    38  Strontium  Sr     90  Thorium    Th
                                                                                   Protactinium
                                                                               91
                                                             Yttrium
                                                         39
                                                                        Y
                                                                                              Pa
            NAK80          7.8      12.5        20500    40  Zirconium  Zr     92  Uranium    U
            SKD11          7.85      11.7       21000    41  Niobium    Nb     93  Neptunium  Np
            SKD61          7.75     10.8        21000    42  Molybdenum  Mo    94  Plutonium  Pu
                                                         43  Technetium  Tc    95  Americium  Am
            SKH51          8.2      10.1        22300    44  Ruthenium  R      96  Curium     Cm
            Carbide V30  14.1        6.0        56000    45  Rhodium    Rh     97  Berkelium  Bk
                                                         46  Palladium  Pd     98  Californium  Cf
            Carbide V40  13.9        6.0        54000    47  Silver     Ag     99  Einsteinium  Es
            Cast Iron      7.3    9.2~11.8   7500~ 10500  48  Cadmium   Cd    100  Fermium    Fm
                                                                              101
                                                                        In
                                                                                              Md
                                                                                   Mendelevium
                                                             Indium
                                                         49
            SUS304         8.0      17.3        19700    50  Tin        Sn    102  Nobelium   No
            SUS440C        7.78     10.2        20400    51  Antimony   Sb    103  Lawrencium  Lr
                                                         52  Tellurium  T
            Oxygen Free Coppers C1020    8.9  17.6  11700  Reference  This table is based on Appendix A(Names and Symbols of Elements)of
            6/4 Brass C2801    8.4  20.8        10300
                                                             ISO 31/8-1980(Amounts and Units of Physical Chemistry and Molecular
            Beryllium Copper C1720    8.3  17.1  13000       Physics) and Appendix C(Names and Symbols of Radionuclides) of ISO
            Aluminum A1100    2.7   23.6         6900        31/9-1980(Amounts and Units of Atomic Physics and Nuclear Physics).
            Duralumin A7075    2.8  23.6         7200
            Titanium       4.5       8.4        10600
           ■How to Calculate the Volume
              Solid    Volume V   Solid   Volume V    Solid   Volume V   Solid    Volume V
            Turncated Cylinder  Oval Ring          Spherical Segment  Spherical Belt
                                                              2  2
                       Q 2             d             h      V 3  Qr h    b
                        d h
                                                                                 Qh
             h2      V  4                Q 2 d 2 a 2 b 2                      V 6 (3a 3b h ) 2
                                                                                    2
                                                                                      2
                           2 )
                        d (
               h
                   h1  Q 2   h1h2  b    V  4  2         r             h
                       4                                         2
                 d                                           2.0944r h   a
                                    a
            Pyramid            Cross Cylinder      Torus        2  2  Barrel    When the circumference makes
                     V h A  h arn                         V2Q Rr             a curve equal to the circular arc,
                       3  6                             R
                     A=Area of Base  R ,                   r  19.739Rr  2       QR  2  2
                  h                     d  Q 2  d                       d     D  V  12 (2D d )
                     r=Radius of inscribed circle  V d (RR ’  ) 3  d
                                          4
               a     a=Length of a side of a regular polygon  R  D   Q 2 Dd 2  R  When the circumference makes
                                                               4
                     n=Number of the sides of a regular polygon  2.4674Dd 2    a curve equal to a parabolic line,
                                                                                    2
                                                                                V0.209R(2D Dd1/4d ) 2
            Spherical Crown  Qh 2  Hollow(Cylinder)  Circular Cone     ■How to Calculate the Weight
                     a  3  (3rh)        Q  h(D d ) 2
                                              2
                                                                r h
                  r               d  t  h  V 4          h  V  Q 2    Weight W[g]= Volume[cm 3 ]× Specifi c Gravity
                                                               3
                          2
             h         Qh  (3a h ) 2
                       6                Qth(Dt)                              [Ex.]Material:Mild Steel
                                                                  2
                 a                D                   r      1.0472r h
                     a is the radius.    Qth(dt)                                 D=Ø16 L=50mm the weight is:
            Ellipsoid  4       Turncated Pyramid   Sphere                       L  FD16   L50mm the weight is:
                     V  Qabc                                 4
                                                                3
                       3                   h            r    V Qr 4.1888r  3
                                         V  (Aa Aa)        3                             Q
                                                                                              2
                     In case of spheroid   h  3                                   The specifi c gravity of W    4  D ×L×W
                     (b=c)               A.a=Area of
                   b                                                      D
             a   c     4                 both ends     d      d 0.5236d 3                  Q  ×1.6 ×5×7.85
                                                              Q 3
                                                                                              2
                     V  Qab 2                                6                             4
                       3
                                                                                           ≈79[g]
      961
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