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f
                                          h                                                                   31
                                          −     2
                                           b          f      2
                                 R        h          h


                                 φ

                              R               L





                         Derivation of “L”


                                                 b     2
                                                h


                                                                    L
                                                        0
                                                              4          !
                                                                 φ       4

                                                                    +                                         Prof. Ramesh Singh, Notes by Dr.

                                            )                 2          !                                       Singh/ Dr. Colton
                                            φ                    φ       2

                                            cos                     1−



                                            1−                      =            2  φ

                                  circular segment
                                            (                                       ⋅
                                            ⋅                       cosφ            R
                                            2R                                      +




                                            +           Taylor’s expansion                        L
                                                                                      f           =
                                              f                                     h
                                            h                                                     ⋅φ

                                            =                                       =

                                            h                                       h             R
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