Determine the shear force V in the beam at a point located 1.30 m to the right of point B. The ground reactions are provided.

Determine the magnitude of resultant normal force N, Shear force V, and moment M across point D and point E

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]

Q.1) An arrangement of three boxes is shown in figure below. Box A weighs 20 N and rests on an inclined plane, while box B weighs 40 N and rests on a horizontal plane. The coefficient of friction between box A and the inclined plane is 0.25, and between box B and the horizontal plane is 0.35. The pulleys are all frictionless. Determine the range of weight of box C for which no motion will occur. -0.7 m 40 N 1 m 0.5 m 0.6 m B 20 N 0.7 m A 4 5

6.43-6.56 Construct the shear force and bending moment diagrams for the beam shown by the area method. Neglect the weight of the beam.

Prob. 2: Draw the shear and moment diagram for the beam indicate values at the supports and the points of maximum shear and moment in the diagrams. 3 m 6 kN/m 6 kN 1.5 m 1.5 m MAIS B

6.43-6.56 Construct the shear force and bending moment diagrams for the beam shown by the area method. Neglect the weight of the beam.

4. Determine the reaction at the roller support and draw the bending moment diagram for the beam and loading shown.

Beam AC is loaded with the distributed load shown, where the magnitude of the distributed load is w, = 700 lb/ft at A and 300 lb/ft at C. The support at B is fixed and the support at C is a roller. Determine the reactions at the beam supports. The solution to this problem must include a free-body diagram of the beam and a sketch of the coordinate system used to apply EF = 0 and EM = 0. wo 300 lb/ft A В 5 ft 7 ft