5. Find the shear force V and the bending moment M for the beam of Figure 5 as functions of the distance x from A. Hence find the location and magnitude of the maximum bending moment. w(x) = wox L x L Figure 5 B
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- Find expressions for shear force V and moment M at x = x0of beam AB in terms of peak load intensity q0and beam length variable L. Let x0= L/2.The simple beam ACE shown in the figure is subjected to a triangular load of maximum intensity q0= 200 lb/ft at a = 8 ft and a concentrated moment M = 400 Ib-ft at A. Draw the shear-force and bending-moment diagrams for this beam, Find the value of distanced that results in the maximum moment occurring at L/2. Draw the shear-force and bending-moment diagrams for this case. Find the value of distance a for which Mmaxis the largest possible value.A simple beam AB supports two connected wheel loads 3P and 2P that are a distance d apart (see figure). The wheels may be placed at any distance x from the left-hand support of the beam. (Assume P = 12 kN, d = 2 m, and 1 = 15 m.) (a) Determine the distance .y that will produce the maximum shear force in the beam, and also determine the maximum shear force Vmax. (b) Determine the distance v that will produce the maximum bending moment in the beam, and also draw the corresponding bending-moment diagram.
- The simply supported beam is subjected to the force F = 700 N and the uniform distributed load with intensity w = 150 N/m. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(r) and M(x). Take a = 0 at point A. 19 F a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 5.2 m 2.6 m 3.12 m Support Reactions The reaction at A is N. The reaction at D is N. Shear Force and Bending Moment Equations In section AB: V(x)= N and M(x)= N-m. In section BC: v(x)- N and M(x)= N-m. In section CD: V(x)- N and M(x)= N-m. AFor 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=4.00 m, b=5.25 m, c= 2.50 m, P = 26kN and M = 160kN-m. Construct the shear-force and bending-moment diagrams. Use the bending-moment diagram to determine the maximum positive bending moment, Mmax, pos, and the maximum negative bending moment, Mmax, neg.Draw the complete shearing force and bending moment diagram for the beam shown in figure (2). 1200 N 96 N/m A 3.0 m 1.2 m RC Beam RB
- 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=11.0 ft, b-4.5 ft, c= 7.5 ft, w = 4 kips/ft and M = 250 kip-ft. 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. 27 W Ay a b 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.) W M a B M C b C C₂ C -XQ2: For the cantilever beam Shown in Figure 2 30 kN/m 20 kN.m D 1.5 m 1.5 m 2 m Figure 2 I. Find the reaction at fixed end RAy II. Find the reaction at the fixed end MA III. Find the shear force at B IV. Find the bending moment at C V. Draw the shear force and bending moment diagrams for the beamFor 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-3.25 m, b=4.75 m, Pg - 35kN, 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. A Ay- 58.66 - Dy- Calculate the reaction forces A, and Dy 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.) Answers: a 56.33 (a) V= (b) V- (c) V- B i i PB B kN с kN C Determine the shear force acting at each of the following locations: (a) x-2m (b)x - 4 m (c) x-8 m Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. 3 3 3 KN D b kN D ·x Dy
- Determine the shear force v and bending moment M just right of the 6KN load on the simple beam AB shown in the figureFor 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=1.50 m, b=5.00 m, PA = 75kN, and PC = 90kN. Construct the shear-force and bending-moment diagrams. Determine the bending moment acting at each of the following locations:(a) x = 1 m(b) x = 1.50 m (i.e., at support B)(c) x = 4 m(d) x = 6.50 m (i.e., at point C)(e) x = 7.00 mFind the torsion constant of the following beam cross section.