Draw a free-body diagram of the forces acting on the simply supported beam shown in Sketch u, with wo = 6 kN/m and l = 10 m. Use singularity functions to draw the shear force and bending moment diagrams.
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Problem 3 (19 points): A simply supported beam ABCD carries a uniformly distributed load, w, and a concentrated load, F, as shown in the figure. All the dimensions are given in the figure, and the weight of the beam is neglected a) Draw the free body diagram for the beam, showing all the applied and reaction forces. Find the reaction forces F=14 kN .6m b) Give the expression for the shear force, V- V(x), and the bending moment M M(x),...
Draw the shear force and bending-moment diagrams for the simply supported beam shown. Label each diagram with the corresponding values 1. Draw the shear force and bending-moment diagrams for the simply supported beam shown. Label each diagram with the corresponding values. 3 Pe= 30 KN 4 m - m 3 m - C -40 kN - m
The beam AC is supported by a smooth pin at A and a roller at B as shown in the figure below. a. Sketch the free-body diagram of the beam and use it to determine the support reaction components at A and B. b. Draw the shear and moment diagrams for the beam. 6. The beam AC is supported by a smooth pin at A and a roller at B as shown in the figure below. 6 kN 12 kN/m...
oints) The beam shown in the figure below is in supported at A and simple su Q3)(100 points) The b a) Use singularity function ularity functions to find the shear and bending moment equations. singularity functions and find the equations of shear and bending spin supported at A and simple supported at b) Evaluate the singularis segment of the beam. Shear and bending moment as a function of x) for each 20 kN/m -4 m 2m- eace to draw an...
Part 1 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=1.750 m, b=5.75 m, PA = 75kN, and Pc = 80kN. 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. Calculate the reaction forces B, and D, acting...
To determine the reactive forces and moments acting on a beam; express the shear and bending moment as functions of their positions along the beam; and construct shear and bending moment diagrams. The cantilever beam shown is subjected to a moment at A and a distributed load that acts over segment BC, and is fixed at C. Determine the reactions at the support located at C. Then write expressions for shear and bending moment as a function of their positions...
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 w = 7.0 kips/ft, a= 9.0 ft, and b= 20.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions.Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by...
Figure 1 shows a simply supported beam with load P applied at point C and D. If P = 40 kN, L= 3 m and a = 1 m, (a) draw the free-body diagram of the beam; (b) determine the support reaction forces at A and B; (c) determine the shear force and moment in AC, CD and DB sections; (d) draw the shear and moment diagrams of the beam. P P A B D X a a L
P=10 kN A cantilever beam is subiected to a concentrated force P, a uniformly distributed load w and a moment MI shown in the figure. Neglect the weight of the beam. (a) Draw the free body diagram for the beam showing all the 2 m reactions, replacing the support M.-2 kNm by the reaction forces/moments. (b) Use the equations of equilibrium to find the reaction forces/moments at R (c) Give the expression for the shear force, V- V(x), and the...
850 lb 1000 lb 2. (50 points) Internal Forces: Shear and Moment Equations - Determine functions for the shear V(x) and bending moment M(x) in the region 0 m <x<3 m and in the region 3 m <x< 4 m and in the region 4 m <x< 6 m where the x coordinate is measured starting from the left end of the beam at pin A. You'll need to first solve for the support reaction forces. Make sure to draw...