Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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- For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=4.50 m, b=5.00 m, c= 2.75 m, P = 33kN and M = 195kN-m. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. 1.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.) (in kN) 2.Determine the shear force acting at each of the following locations: (in kN)(a) x = 4.50- (i.e., just to the left of point B)(b) x = 4.50+ (i.e., just to the right of point B)(c) x = 9.50- (i.e., just to the left of point C)(d) x = 9.50+ (i.e., just to the right of point C)Note that x = 0 at support A. 3. Determine the bending-moment…arrow_forwardred is the correct answerarrow_forwardNote:Hand written solution not allowed.arrow_forward
- For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.250 m, b=6.50 m, PA = 60kN, and PC = 70kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.arrow_forwardX=450N, Y=900Narrow_forwardSolve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kNarrow_forward
- For the beam shown,(1) derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.)(2) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Specify the values for key points on the diagrams.Let a=10.1 ft, b=7.3 ft, wa=3.7 kips/ft, and wb=10.5 kips/ft. Derive the equations and construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Part 1 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.)arrow_forwardThe beam shown in the figure is supported at roller A and pinned at B and has a uniformly distributed loading w= 53 kN/m over 1.5 m from the left-hand end and moment loading M = 53 kNm at 1.5 m from end B. Determine the shear force at a section from the left-hand end of the beam X = 3.0 m. Input your answer as a value only in kN to one decimal place and without +/- sign. w kN/m M kNm B X -1.5 m- A- -1.5 m -1.5 m-arrow_forward
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