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                       Table 3–4
                                                                                   h
                                                                           r c = r i +
                       Formulas for Sections                                       2
                                               h
                       of Curved Beams                                            h
                                                                    r o    r n =
                                                                  r            ln (r o /r i )
                                                               r n  c
                                                            r i
                                                      b o                          h b i + 2b o
                                                                           r c = r i +
                                                                                   3 b i + b o
                                                                e
                                               h                                            A
                                                                           r n =
                                                                     r         b o − b i + [(b i r o − b o r i )/h]ln(r o /r i )
                                                                      o
                                                                   r
                                                                r  c
                                                      b          n
                                                       i      r i
                                                       b                             2             2
                                                       o                           b i c + 2b o c 1 c 2 + b o c 2
                                                                                     1
                                                                           r c = r i +
                                                                 e                    2(b o c 2 + b i c 1 )
                                               c 2
                                                                                         b i c 1 + b o c 2
                                                                     r     r n =
                                                                      o
                                                c 1                r           b i ln[(r i + c 1 )/r i )] + b o ln[r o /(r i + c 1 )]
                                                                r n  c
                                                       b i    r i
                                                                           r c = r i + R
                                                R
                                                           e
                                                                                      R 2
                                                                           r n =

                                                             r
                                                                                        2
                                                           r n  c              2 r c −  r − R 2
                                                        r i                            c
                                                       b                           1  2  1  2
                                                        o                           h t + t (b i − t) + t o (b o − t)(h − t o /2)
                                                                                           i
                                                                                   2     2
                                                      t                    r c = r i +
                                                      o
                                                                                        t i (b i − t) + t o (b o − t) + ht
                                                 e
                                                       t
                                                              h                     t i (b i − t) + t o (b o − t) + ht o
                                                                           r n =   r i + t  r o − t o     r o
                                                                 r o           b i ln   + t ln    + b o ln
                                                      t i                           r i      r i + t i  r o − t o
                                               r c  r
                                                 n
                                                       b i
                                                              r i
                                                                                         1
                                                          b                        1 h t + t (b − t) + t o (b − t)(h − t o /2)
                                                                                     2
                                                                                           2
                                                                                   2     2  i
                                                        t                  r c = r i +
                                                        o
                                                                                          ht + (b − t)(t i + t o )
                                                     t          t
                                                  e  2          2
                                                                   h                   (b − t)(t i + t o ) + ht
                                                                           r n =
                                                                                    r i + t i  r o      r o − t o
                                                                      r        b ln      + ln       + t ln
                                                                       o
                                                                                     r i     r o − t o  r i + t i
                                                        t i
                                               r c  r n
                                                                   r
                                                                    i
                                                                                                                 121
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