Beam ABC is loaded as shown (note that the loading in segment BC is acting upward). The beam is supported by a fixed end at A and a roller at C. A hinge is located at B. (a) Determine the magnitude and direction of all reactions at A and C. (b) Draw the shear and moment diagrams for the beam. Clearly indicate the points at which shear and moment are zero and their positions along the beam. 2 k/ft 2 k/ft B. 12 ft 12 ft Answers: (a) Ax = 0; Ay 0; Am = 96 k-ft CW; Cy 12 kN down (b) VA 0; VB =-12 k; VCL = 12k [V is quadratic (smiling) from A-B; linear from B-C] V is zero at a point 6 ft to the right of B (6 ft to the left of C) MA 96 k-ft; MB [M is cubic (frowning) from A-B; quadratic (smiling) from B-C] 0; MN-o) = -36 k-ft; Mc = 0

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