Problem 1. Use the moment-area theorems and determine the slope at A and displacement at C. El is constant. Ignore the self-weight of the beam. 10 kN A 2m 4m Figure 1 Problem 2. Solve Problem 1 using the conjugate-beam method. B
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- Construct the shear force and bending moment diagrams for the beam shown by the area method. From the diagrams, determine the maximum shear force and maximum bending moment. Neglect the weight of the beam. (Show complete calculation and step by step process. Show free body diagram)Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-9 ft, b-6 ft and w=10.5 kips/ft. 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 A, -0, it has been omitted from the free-body diagram.) Answer: (a) Vi (b) V = i (c) V- a Answers: A, kips, Cy Determine the shear force acting at each of the following locations: (a) x = 0+ ft (i..., just to the right of support A) (b) x-9 ft (c)x=13ft When entering your answers, use the shear force sign convention. kips. kips. kips. b (a) M- (b) M- (c) M-i С Cy The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips. Answer:x-i ft. kip-ft. kip-ft. kip-ft. kips. Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention.…For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Calculate the shear force V and bending moment M at a cross section located 0.5 m from the fixed support. Neglect the weight of the beam. (Show complete calculation and step by step process. Show free body diagram)
- For the given beam below bent about the horizontal axis of its cross section.Solve for fbtMAX & fbcMAX (Note: Draw the shear and moment diagram).B/ Calculate the reactions at the support in the cantilever beam shown in Fig. below. The beam has a fixed support at A which prevents translation in any direction and also rotation. (point D in the middle between B and C) 10 kN 15 kN RA 5 kN RAV 04m 06 mDraw the free body diagram, shear force diagram, and bending moment diagram for section BC and AB of the beam shown below. Make one set for the horizontal plane and another set for the vertical plane. The values of P1 and P2 are not specifed and can be kept generic.
- Using singularity functions, determine the expressions of V (cutting force) and M (deflector moment) on each stretch of the beam schematized below and construct the diagrams of cutting force and deflector moment. Take the z-axis starting with point A and heading toward B. Stretch I: 0 ≤ z < 1; Stretch II: 1 ≤ z < 4; Stretch III: 4 ≤ z ≤ 5.Q1 A simply supported beam of length 5m, carries a uniformly distributed load of (Your Roll No. kN/m) extending from the left end to a point 2m away. There is also a clockwise couple of (1200+Your Roll No. kNm) applied at the centre of the beam. Draw the S.F and B.M diagrams for the beam and find the maximum bending moment.The beam shown carries a uniformly distributed load of 2 kN/m along span BC. The beam is supported by a roller at B and pin-connected at C. 2 kN/m 6 kN 6 kN a. Compute for the slope at B using the conjugate beam method. b. Compute the displacement of A using the conjugate beam method. c. Compute the displacement of A using the moment area method.
- Sketch below the free-body diagram for the beam. Do not forget that the beam also has a mass! Label all the forces (with symbols, do not use numerical values.) CMDraw the shear and bending moment diagrams for the following beam. Need to mark major points on the diagrams (Graphical method is recommended) 600 Ib 300 lb/ftUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.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.) Use the graphical method to determine the bending moment acting at each of the following locations:(a) x = 8.2 ft(b) x = 11 ft(c) x = 13.6 ftWhen entering your answers, use the bending moment sign convention.Answers:(a) M = kip-ft.(b) M = kip-ft.(c) M = kip-ft.