For the beam shown, (1) derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) (2) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Specify the values for key points on the diagrams. Let a=10.1 ft, b=7.3 ft, wa=3.7 kips/ft, and wb=10.5 kips/ft. Derive the equations and construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.
For the beam shown,
(1) derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.)
(2) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Specify the values for key points on the diagrams.
Let a=10.1 ft, b=7.3 ft, wa=3.7 kips/ft, and wb=10.5 kips/ft. Derive the equations and construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.
Part 1
Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax=0, it has been omitted from the free-body diagram.)
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