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[Technical Data]  Quantifiers, 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  Atomic
                                 alpha      Angle, Coefficient  Number  Name  Symbol  Number  Name  Symbol
                                 beta       Angle, Coefficient  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 Coefficient  12  Magnesium  Mg  64  Gadolinium  Gd
                                            10 -6  (Micro)
                                 nu         Frequency          13  Aluminum   Al    65  Terbium     Tb
                                 xi         Variable           14  Silicon    Si    66  Dysprosium  Dy
                                                                                        Holmium
                                                                                                    Ho
                                                               15
                                                                                    67
                                                                              P
                                                                  Phosphorous
                                 omicron                       16  Sulfur     S     68  Erbium      Er
                                 pi         Circle Ratio (3.14159...)
                                            Angle              17  Chlorine   Cl    69  Thulium     Tm
                                            Symbol of Product (Uppercase)  18  Argon  Ar  70  Ytterbium  Yb
                                 rho        Radius, Density    19  Potassium  K Ca  71  Lutetium    Lu
                                                                                                    Hf
                                                                                        Hafnium
                                                                                    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 specified, lowercase letters are the norm.  30  Zinc  Zn  82  Lead  Pb
                                                                                    83
                                                                              Ga
                                                                                                    Bi
                                                                                        Bismuth
                                                               31
                                                                  Gallium
                 ■Characteristics of Materials                 32  Germanium  Ge    84  Polonium    Po
                                                                                        Astatine
                                                                                                    At
                                                                              As
                                                                  Arsenic
                                                                                    85
                                                               33
                                     Thermal Expansion         34  Selenium   Se    86  Radon       Rn
                              Specific           Young's Modulus  35  Bromine  Br   87  Francium    Fr
                    Material  Gravity  Coefficient  {Kgf/mm 2 }  36  Krypton  Kr    88  Radium      Ra
                                        ×10 -6 /˚C
                                                                  Strontium
                                                                                        Thorium
                                                               38
                                                                                    90
                                                                              Sr
                                                                                                    Th
                  Mild Steel    7.85      11.7        21000    37  Rubidium   Rb    89  Actinium    Ac
                  NAK80         7.8       12.5        20500    39  Yttrium    Y Zr  91  Protactinium  Pa
                                                                                    92
                                                                                                    U
                                                               40
                                                                  Zirconium
                                                                                        Uranium
                  SKD11         7.85      11.7        21000    41  Niobium    Nb    93  Neptunium   Np
                  SKD61         7.75      10.8        21000    42  Molybdenum  Mo   94  Plutonium   Pu
                                                                  Technetium
                                                                                    95
                                                                                                    Am
                                                               43
                                                                                        Americium
                                                                              Tc
                  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
                                                                                        Californium
                                                                                                    Cf
                                                                                    98
                                                                  Palladium
                                                               46
                                                                              Pd
                  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
                                                                              In
                                                                  Indium
                                                               49
                                                                                                    Md
                                                                                        Mendelevium
                                                                                    101
                  SUS304        8.0       17.3        19700    50  Tin        Sn    102  Nobelium   No
                  SUS440C       7.78      10.2        20400    51  Antimony   Sb    103  Lawrencium  Lr
                                                                  Tellurium
                                                               52
                                                                              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
                 Truncated Cylinder  Oval Ring          Spherical Segment   Spherical Belt
                                                                      2
                            Q 2              d            h       V=  2 3 Qr h  b
                             d h
                                                                                       Qh
                   h2  h  h1  V= 4  h1+h2     V= Q 4  2 d 2 a 2 +b 2                  V= 6 (3a +3b +h ) 2
                                                                                          2
                                                                                            2
                             d (
                                                     2
                           = Q 2   2 )  b                      r        2     h
                            4
                      d                                           =2.0944r h
                                          a                                    a
                 Pyramid             Cross Cylinder     Torus     V=2Q Rr 2  Barrel   When the circumference makes
                                                                     2
                          V= h A=  h arn                     R                        a curve equal to the circular arc,
                               6
                            3
                          A=Area of Base  R ,                    r  =19.739Rr 2        QR  2  2
                                                     d
                                                Q 2
                       h                     d  V= d (R+R ’ - )               d     D  V= 12 (2D +d )
                          r=Radius of inscribed circle  4  3  d                       When the circumference makes
                     a    a=Length of a side of a regular polygon  R  D  = Q 2 Dd 2  R
                                                                    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
                          V=  3  (3r-h)         Q h(D -d ) 2        Q 2     Weight W[g]=Volume[cm 3 ]×Specific Weight
                                                   2
                       r                d  t  V= 4                V=  3  r h
                   h       = Qh (3a +h ) 2  h  =Qth(D-t)       h                      [Ex.]Material: Mild Steel
                                2
                             6
                       a                D                   r     =1.0472r h
                                                                        2
                          a is the radius.     =Qth(d+t)
                                                                                       φD=16   L=50mm, the weight is:
                 Ellipsoid   4       Truncated Pyramid  Sphere                       L    Q  2
                                                                    4
                          V= 3  Qabc            h             r   V= Qr =4.1888r 3      W  =  4  D ×L×Specific Weight
                                                                      3
                                                                    3
                          In case of spheroid   h  V= 3  (A+a+ Aa)                        Q  ×1.6 ×5×7.85
                                                                                              2
                          (b=c)               A.a=Area of                       D        =  4
                         b
                   a  c      4  2             both ends      d     = d =0.5236d 3        ≈79[g]
                                                                    Q 3
                                                                    6
                          V= 3  Qab
          B-005
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