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review problem 7.163 by m4N9Vg

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									                        Problem 7.163

           1500 lb/ft       For the beam and loading shown,
A     B                     (a) draw the shear and bending-
                        C
                            moment diagrams, (b) determine
             6000 lb
                            the magnitude and location of the
    4 ft   6 ft             maximum absolute value of the
                            bending moment.
                                                       Problem 7.163

                1500 lb/ft        Solving Problems on Your Own
A      B                         For the beam and loading shown,
                             C
                  6000 lb
                                 (a) draw the shear and bending-
                                 moment diagrams, (b) determine
     4 ft       6 ft             the magnitude and location of the
                                 maximum absolute value of the
                                 bending moment.
1. Draw a free-body diagram for the entire beam, and use it to
   determine the reactions at the beam supports.

2. Draw the shear diagram.

3. Draw the bending-moment diagram by computing the area
   under each portion of the shear curve.
            3 ft      9 kips                        Problem 7.163 Solution

                                        Draw a free-body diagram for
                                        the entire beam, and use it to
                               C        determine the reactions at the
A           B                           beam supports.
    4 ft           6 ft        6 kips



+ S MA = 0 : (6 kips)(10 ft) - (9 kips)(7 ft) + B (4 ft) = 0

                                           B = 0.75 kips
+ S F = 0 : A + 0.75 kips + 6 kips - 9 kips = 0
     y


                                            A = 2.25 kips
Draw the shear diagram.                                             Problem 7.163 Solution
                      1.5 kips/ft

          A                         B                                      C

                 2.25 kips          0.75 kips                              6 kips
                       4 ft                           6 ft
  V (kips)                              + 3 kip

  + 2.25 kip                                      D
                                                                                     x
             A                  B                                          C
     VB            3 kips
BD =    =
     w           1.5 kips/ft
                                         2 ft                4 ft          - 6 kip
Draw the bending-moment diagram.                                             Problem 7.163 Solution
                        1.5 kips/ft

          A                             B                                               C

                 2.25 kips                0.75 kips                                     6 kips
                         4 ft                             6 ft
  V (kips)                                  + 3 kip       1
                                                            (3 kips)(2 ft) = (+3 kip-ft)
                                                          2
  + 2.25 kip       (+9 kip-ft)                        D
                                                                                                  x
             A                      B                                                   C
                                                                        (- 12 kip-ft)
     VB              3 kips
BD =    =
     w             1.5 kips/ft
                                             2 ft                4 ft                   - 6 kip

                                                      (+12 kip-ft)                 Mmax = 12 kip-ft
                      (+9 kip-ft)
M (kip-ft)
                                                                                   6 ft from A

               A
                                                                                                      x
                                      B               D                                 C

								
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