The cantilever beam AC shown in the figure is subjected to a load 1kN at the end A, and an in- plane clockwise moment 5 kNm at B. The shear force and bending moment in the beam at C are respectively, 1 kN B 2 m 3 m O a. (-)1 kN, 0 O b. 1 kN, 5 kNm OC. 1 kN, (-)5 kNm Od.(-)1 kN, 10 kNm
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- Two identical, simply supported beams AB and CD are placed so that they cross each other at their midpoints (sec figure). Before the uniform load is applied, the beams just touch each other at the crossing point. Determine the maximum bending moments (mab)max* and (MCD)max beams AB and CD, respectively, due to the uniform load if the intensity of the load is q = 6.4 kN/m and the length of each beam is L = 4 m..10 A built-up bourn supporting a condominium balcony is made up of a structural T (one half of a W 200 x 31.3) for the top flange and web and two angles (2 L 2 / b / 6.4. long legal back-lo-backl lot the bottom flange and web. as shown. The beam is subjected to a bending moment .1/ having its vector at an angle ft lo the z axis (see figure). Determine the or ion ta I ion of the neutral axis and calculate the maximum tensile stress ir, and maximum compressive stress tr. in ".he beam. .Assume that 9 = 30°andM = 15 kN · m. Use the numerical properties: c =4.111mm, c2 =4.169 mm, of = 134 mm, I, = 76 mm, A = 4144 mm 3 =3.88 X 106 mm 4, and = 34.18 X 10 mm 4.A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C and B (sec figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d1and the piston at C has diameter D2. (a) Determine the ratio of d2to d1so that the largest bending moment in the beam is as small as possible. Under these optimum conditions, what is the largest bending moment Mmaxin the beam? What is the difference in elevation between point C and the end supports?
- 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.Find expressions for shear force V and moment M at x = L/2 of beam BC. Express V and M in term s of peak load intensity q0and be a m length variable L.The horizontal beam ABC of an oil-well pump has the cross section shown in the figure. If the vertical pumping force acting at end C is 9 kips and if the distance from the line of action ofthat force to point B is 16 ft, what is the maximum bending stress in the beam due to the pumping force?
- The cross section of a bimetallic strip is shown in the figure. Assuming that the moduli of elasticity for metals A and B are EA=168 GPa and EB= 90 GPa, respectively, determine the smaller of the two section moduli for the beam. (Recall that section modulus is equal to bending moment divided by maximum bending stress.) In which material does the maximum stress occur?Determine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. For your explanation section, complete a FBD of the other side of the beam from the version you did to solve the problem. 8 kip 40 kip · ft A to to D B- 8 ft 8 ft- -8 ftThe figure shows a cantilever beam carrying a uniformly distributed load of 4 kN/m and a point load of 16 kN at distance 2 m from the free end. The shear force and bending moment at a position just to the right of point B is, 16 kN 4 kN/m C 2 m 3 m O a. (-)8 kN, (-8) kNm O b.(-)24 kN, (-)16 kNm Oc. Not determinable, (-)16 kNm Od. (-)24 kN, (-)8 kNm
- The cantilever beam AC shown in the figure is subjected to a load 1kN at the end A, and an in-plane clockwise moment 5 kNm at B. The shear force and bending moment in the beam at C are respectively, 1 kN B 2 m 3 m O a. 1 kN, (-)5 kNm O b. (-)1 kN, 10 kNm O. (-)1 kN, 0 O d. 1 kN, 5 kNmIn the structural beam segment AD shown in the figure, a triangularly distributed load which varies from 0 to 6 kN/m applies and the support reaction at A is 5.5 kN. The shear force and bending moment at the point D are, 0-6 kN/m A D 3 m O a. (-)3.5 kN, 11.5 kNm O b. (-)3.5 kN, 7.5 kNm O. (-)12.5 kN, 7.5 kNm O d. (-)2.5 kN, 11.5 kNmThe figure shows a cantilever beam carrying a uniformly distributed load of 4 kN/m and a point load of 16 kN at distance 2 m from the free end. The shear force and bending moment at a position just to the right of point B is, 16 kN 4 kN/m A B 2 m 3 m O a. (-)8 kN, (-8) kNm O b.(-)24 kN, (-)8 kNm O. (-)24 kN, (-)16 kNm O d. Not determinable, (-)16 kNm