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Beam ABC is loaded as shown (note that the loading in segment BC is acting upward). The bear 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.

Beam ABC is loaded as shown (note that the loading in segment BC is acting upward). The bear 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.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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 12 ft 12 ft Answers: (a) A, = 0; A, = 0; Am = 96 k-ft CW; C, = 12 kN down %3! (b) VA 0; V3 = -12 k; Vei = 12 k [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; M3 = 0; Mr=0) = -36 k-ft; Mc = 0 [M is cubic (frowning) from A-B; quadratic (smiling) from B-C]
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 12 ft 12 ft Answers: (a) A, = 0; A, = 0; Am = 96 k-ft CW; C, = 12 kN down %3! (b) VA 0; V3 = -12 k; Vei = 12 k [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; M3 = 0; Mr=0) = -36 k-ft; Mc = 0 [M is cubic (frowning) from A-B; quadratic (smiling) from B-C]
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