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[Technical Data]  Quantifiers, Unit Symbols, Chemical Symbols and Symbols of Elements   Excerpts from JIS Z 8202  [Technical Data]
                                            Calculation of Cubic Volume and Weight / Physical Properties of Materials     Calculation of Area, Center of Gravity and Geometrical Moment of Inertia



                   ■Greek Symbols                             ■Name of Elements and Atomic Symbols
                   Uppercase  Lowercase  Pronunciation  Conventional Usage  Atomic  Name  Symbol  Atomic  Name  Symbol
                                  alpha       Angle, Coefficient  Number            Number                                  Cross Section  A      e      I    Z=I/e
                                  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                                           h      bh 3   bh 2
                                  zeta        Variable           6  Carbon      C     58  Cerium     Ce                              h     bh     2      12     6
                                  eta         Variable           7  Nitrogen    N     59  Praseodymium  Pr                         e
                                  theta       Angle, Temperature, Time  8  Oxygen  O  60  Neodymium  Nd
                                  iota                           9  Fluorine    F     61  Promethium  Pm                       b
                                  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                                           h      h 4    h 3
                                                                                Si
                                                                    Silicon
                                                                                      66
                                                                                                     Dy
                                                                                          Dysprosium
                                                                14
                                  xi          Variable          15  Phosphorous  P    67  Holmium    Ho                              h     h 2
                                  omicron                       16  Sulfur      S     68  Erbium     Er                            e              2      12     6
                                  pi          Circle Ratio(3.14159...)
                                              Angle             17  Chlorine    Cl    69  Thulium    Tm                        h
                                              Symbol of Product(Uppercase)  18  Argon  Ar  70  Ytterbium  Yb
                                  rho         Radius, Density   19  Potassium   K     71  Lutetium   Lu
                                  sigma       Stress, Standard Deviation  20  Calcium  Ca  72  Hafnium  Hf
                                              Summation(Uppercase)  21  Scandium  Sc  73  Tantalum   Ta
                                  tau         Time Constant, Time, Torque  22  Titanium  Ti  74  Tungsten  W                         e                    4
                                  upsilon                       23  Vanadium    V     75  Rhenium    Re                                           2      h       3  2  3
                                  phi         Angle, Function, Diameter  24  Chromium  Cr  76  Osmium  Os                                  h 2    2  h   12   0.11793h = h
                                                                                                                                                                  12
                                  chi                           25  Manganese   Mn    77  Iridium    Ir                       h    h
                                  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
                                                                    Gallium
                                                                                Ga
                                                                                      83
                                                                31
                                                                                                     Bi
                                                                                          Bismuth
                   ■Characteristics of Materials                32  Germanium   Ge    84  Polonium   Po                      e        h    bh     2 3 h  bh 3   bh 2
                                                                33
                                                                    Arsenic
                                                                                                                                            2
                                                                                          Astatine
                                                                                                     At
                                                                                      85
                                                                                As
                                                                                                                                                                24
                                                                                                                                                         36
                                       Thermal Expansion        34  Selenium    Se    86  Radon      Rn
                      Material  Specific   Coefficient  Young's Modulus  35  Bromine  Br  87  Francium  Fr                       b
                                Gravity   ×10 -6 /˚C  {Kgf/mm 2 }  36  Krypton  Kr    88  Radium     Ra
                                                                                                     Ac
                                                                                      89
                                                                                Rb
                                                                    Rubidium
                                                                                          Actinium
                                                                37
                   Mild Steel     7.85      11.7        21000   38  Strontium   Sr    90  Thorium    Th                          b
                                                                                      91
                                                                                          Protactinium
                                                                                                     Pa
                                                                39
                                                                    Yttrium
                                                                                Y
                   NAK80          7.8       12.5        20500   40  Zirconium   Zr    92  Uranium    U
                                                                                                                                                               2
                                                                                                                                                        2
                   SKD11          7.85      11.7        21000   41  Niobium     Nb    93  Neptunium  Np                                  (2b+b1)  h  1  M 3b+2b1  h  6b +6bb 1+b 1 2  h 3  6b +6bb 1+b 1 2  h 2
                   SKD61          7.75      10.8        21000   42  Molybdenum  Mo    94  Plutonium  Pu                     e         h       2  3  2b+b1  36(2 b+b 1)  12(3 b+2b1)
                                                                    Technetium
                                                                                          Americium
                                                                43
                                                                                      95
                                                                                                     Am
                                                                                Tc
                   SKH51          8.2       10.1        22300   44  Ruthenium   R     96  Curium     Cm                   b1     b     2 1 b
                                                                                                                           2
                   Carbide V30  14.1        6.0         56000   45  Rhodium     Rh    97  Berkelium  Bk
                                                                                Pd
                                                                                                     Cf
                                                                                          Californium
                                                                46
                                                                                      98
                                                                    Palladium
                   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
                                                                    Indium
                                                                                          Mendelevium
                                                                49
                                                                                In
                                                                                     101
                                                                                                     Md
                   SUS304         8.0       17.3        19700   50  Tin         Sn   102  Nobelium   No                                          3              5 3
                                                                                                                                                                 r
                   SUS440C        7.78      10.2        20400   51  Antimony    Sb   103  Lawrencium  Lr                             e           4 r =0.866r    8
                                                                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   r
                   6/4 Brass C2801    8.4   20.8        10300       ISO 31/8-1980(Amounts and Units of Physical Chemistry and Molecular   3  3  r  2   5 3  4  4
                   Beryllium Copper C1720    8.3  17.1  13000       Physics) and Appendix C(Names and Symbols of Radionuclides) of ISO     2  2        16   r =0.5413r
                   Aluminum A1100    2.7    23.6        6900        31/9-1980(Amounts and Units of Atomic Physics and Nuclear Physics).   =2.598r
                   Duralumin A7075    2.8   23.6        7200                                                                 e                                5 3  3  3
                   Titanium       4.5       8.4         10600                                                                         r            r          16   r =0.5413r
                   ■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
                                                                                                                                                          r
                                                                        2
                                               d                      2  Qr h     b                                                       2.828r 2  0.924r  2  1+2 2 4  0.6906r  3
                              Q 2                           h      V= 3                                                      e       r                  6
                               d h
                                                                                         Qh
                    h2      V=  4                 Q 2  d 2 a 2 +b 2                    V= 6 (3a +3b +h ) 2                                             =0.6381r  4
                                                                                           2
                                                                                              2
                                  2 )
                               d (
                      h
                           h1  Q 2   h1+h2  b   V=  4  2         r             h
                             =  4                                        2
                        d                                           =2.0944r h   a
                                            a
                                                                                                                                a
                                                                                                                                       b
                   Pyramid            Cross Cylinder      Torus        2  2   Barrel   When the circumference makes                   2  2         a
                            V= h A=  h arn                     R   V=2Q Rr             a curve equal to the circular arc,                 0.8284a 2  b= 1+ 2  0.0547a 4  0.1095a 3
                              3
                                 6
                            A=Area of Base  R ,                   r  =19.739Rr 2         QR  2  2
                         h                     d  Q 2  d                       d      D  V= 12 (2D +d )                     e                   =0.4142a
                            r=Radius of inscribed circle  V= d (R+R ’ - )  d                                                  b
                                                  4
                                                       3
                      a     a=Length of a side of a regular polygon  R  D  = Q 2 Dd 2  R  When the circumference makes          b     2 b  2
                                                                      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                                          Qd  4  Qr  4  Qd 3  Qr  3
                   Spherical Crown  Qh 2  Hollow(Cylinder)  Circular Cone     ■How to Calculate the Weight                           r            d     64  =  4  4  32  =  4  3
                                                     2
                            a=  3  (3r-h)         Q h(D -d ) 2                                                                            Qr 2 Qd 2  2  =0.0491d  =0.0982d
                                                                                                                                           =
                                                                       r h
                         r               d  t   V= 4               V=  Q 2    Weight W[g]= Volume[cm 3 ]× Specific Gravity           e       4         ≈0.05d  4  ≈0.1d  3
                                                                      3
                    h         Qh  (3a +h ) 2  h  =Qth(D-t)       h                                                                                          4      3
                                 2
                             =  6                                                      [Ex.]Material:Mild Steel                 d                      =0.7854r  =0.7854r
                         a               D                    r     =1.0472r h
                                                                         2
                            a is the radius.     =Qth(d+t)                                D=Ø16 L=50mm the weight is:
                                                                                                                                  r                           0.0075r  4
                                                                                                                                            Q
                   Ellipsoid  4       Turncated Pyramid   Sphere                       L  FD=16   L=50mm the weight is:                   r ( 1- )  e 1         e 2
                                                                                                                                          2
                                                                      4
                            V=  3 Qabc            h             r   V= Qr =4.1888r 3                                         e1              4  =0.2234r  0.0075r  4  =0.00966r  3
                                                                       3
                                                V=  3 (A+a+ Aa)       3                             Q  2                          90°  r  =0.2146r  2  e 2       3
                            In case of spheroid   h                                       The specific gravity of W  =  4  D ×L×W   2  e        =0.7766r      ≈0.01r
                            (b=c)               A.a=Area of
                          b                                                       D
                                                                     Q 3
                     a  c     4   2             both ends     d      = d =0.5236d 3                Q  ×1.6 ×5×7.85
                                                                                                      2
                            V=  3 Qab                                 6                           =  4
                                                                                                  ≈79[g]
            1565                                                                                                                                                                                                  1566

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