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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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please show the cut in internal forces and follow units throughout the problem

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
Transcribed Image Text: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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