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                                                                                             Load and Stress Analysis  127
                                               PROBLEMS


                                               Problems marked with an asterisk (*) are linked with problems in other chapters, as summarized
                                               in Table 1–1 of Sec. 1–16, p. 24.
                                    3–1* to    Sketch a free-body diagram of each element in the figure. Compute the magnitude and direction
                                       3–4     of each force using an algebraic or vector method, as specified.




                                                                                                       B
                                                                             C
                                                                                                                100 lbf
                                                  y      100 lbf
                                                                                12 in
                                                                                                             10 in
                                                                                      O                            C
                                                            A                     x            A
                                                 O                           B
                                                      6 in        12 in                    10 in    10 in    10 in
                                                            Problem 3–1*                         Problem 3–2

                                                                              F = 400 N   y
                                                           y
                                                            B                      30°     C
                                                               F = 0.8 kN

                                                                                                 4
                                                                  3
                                                        0.9 m                          2     3
                                                             2                   B                D
                                                                                   60°  1.9 m   60°  E
                                                                60°                                    x
                                                            O          A          A      O   1  5
                                                                         x
                                                       1
                                                                                         9 m
                                                            Problem 3–3                  Problem 3–4

                                     3–5 to    For the beam shown, find the reactions at the supports and plot the shear-force and bending-
                                       3–8     moment diagrams. Label the diagrams properly and provide values at all key points.

                                                y
                                                    9 kN       5 kN            y    500 lbf  40 lbf/in
                                                 300    900    300
                                               O                     x
                                                   A          B    C           O      A  B      C
                                                                                                   x
                                                 R 1              R 2            8 in  6 in  6 in
                                                      Problem 3–5                    Problem 3–6
                                                   Dimensions in millimeters
                                                                                        Hinge
                                                                               y
                                                                                   400 lbf  40 lbf/in
                                                y
                                                       2 kN       4 kN
                                                                              O                     x
                                                  1.2 m  1 m  1 m                  AB    C        D
                                               O                     x
                                                       A     B    C             R 1      R 2     R 3
                                                 R 1         R 2                4 in  4 in 2 in  10 in
                                                      Problem 3–7                    Problem 3–8
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