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                 106   Mechanical Engineering Design
                                                         y


                                                          A
                                                             10 in
                                                    z
                                                                    B
                                                           200 lbf     10 in
                                                                               C
                                                             1000 lbf              10 in
                                                                                        D
                                                                                           x
                                                                               100 lbf
                                                                        500 lbf
                                                                       (a)
                                                            y
                                                           A
                                                     800 lbf
                                                                10 in
                                                    z               1600 lbf in
                                                            200 lbf   B
                                                                          10 in
                                                                              1600 lbf in
                                                                1200 lbf
                                                                                C   10 in
                                                                                600 lbf   D
                                                                                              x
                                                                                    400 lbf
                                                                                          400 lbf
                                                                          (b)
                                         y                                                 1200 lbf
                                                           600 lbf
                                                                                A       B        C        D    x
                                                 B      C         D
                                        A                              x
                                                                             800 lbf                       400 lbf
                                     200 lbf                       400 lbf        z    8000
                                                         4000
                                      M z                                     M y
                                     (lbf in)                                (lbf in)              4000
                                              2000
                                                                       x        O                              x
                                        O
                                                                                             (d)
                                                     (c)
                                                                      +
                                                         Location: at B (x = 10 )
                                                                        8000 lbf in
                                                         8246 lbf in
                                                                             F
                                                                               Max. compression
                                                                               and shear
                                                        2000 lbf in
                                                                                   –1 8000
                                                                                 = tan  = 76°
                                                               E                     2000
                                                                  Max. tension
                                                                   and shear
                  Figure 3–24                                         (e)
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