The composite beam consists of a wood core and two plates of steel. If the allowable bending stress for the wood is (o slow)« = 20 MPa, and for the steel (7allom)a = 130 MPa, determine the maximum moment that can be applied to the beam. E, = 11 GPa, E = 200 GPa. 125 mm M 20 mm- 75 mm 20 mm
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- An I section symmetrical beamhas 200mm wide flange and overall depth of 500mm. Each flange is 25mm thickand the web is 20mm thick. Determine the maximum bending moment that should be imposed in the sectionif the tensile or the compressive stressis not to exceed 40MN/m^2 and what percentage of the moment is resisted by flange or web?The simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joist are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is s allow = 1700 psi, determine the smallest height h so that the beam will support a load of P = 600 lb. Also, will the entire joist safely support the load? Neglect the stress concentration at the notch.A beam is subjected to equal 19.1 kip-ft bending moments. Assume ty = t2 = ty= 1 in., d = 10 in, by= 4 in., and b2 = 7 in. The cross- sectional dimensions of the beam are illustrated. Determine; (a) the distance y to the centroid (measured from the bottom), the moment of inertia & about the z axis, and the controlling section modulus S, about the z axis. (b) the bending stress O, at point H (positive if tension, negative if compression). (c) the bending stress y at point K (positive if tension, negative if compression). (d) the maximum bending stress, Omax produced in the cross section (positive if tension, negative if compression).
- The box beam is made by nailing four 2-in. by 8-in. plankstogether as shown. Given that w0 = 300 lb/ft, find the largestallowable force P if the bending stress is limited to 1400 psi.A composite beam is made of two brass [E = 97 GPa] plates bonded to an aluminum [E = 70 GPa] bar, as shown. The beam is subjectedto a bending moment of 2140 N-m acting about the z axis. Assume b=44 mm, d =50 mm, d =10 mm. Determine:(a) the maximum bending stresses , in the brass plates and the aluminum bar.(b) the stress in the brass at the joints where the two materials are bonded together.The simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joists are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is sallow = 1500 psi, determine the height h that will cause the beam to reach both allowable stresses at the same time. Also, what load P causes this to happen? Neglect the stressconcentration at the notch.
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- Problem 3 only, solve carefully, include the units in every step and draw the diagram. Thanks! In a 2.5 m cantilevered I-beam, 2500 kg weight is applied at 0.75 meter from the free end. If the allowable stress inbeam is 120 Mpa, determine theA. section modulus, in3 B. The base and height of the beam if the base is 75% of its height, mmThe composite beam in Fig. a is made of wood and reinforced with a steel strap located on its bottom side. If the beam is subjected to a bending moment of M = 2 kN # m, determine the normal stress at points B and C. Take Ew = 12 GPa and Est = 200 GPa.The beam is used to support a dead load of 0.6 k/ft, a live load of 2 k/ft and a concentrated live load of 8 k. Determine (a) the maximum positive (upward) reaction at A, (b) the maximum positive moment at C, and (c) the maximum positive shear just to the right of the support at A. Assume the support at A is a pin and B is a roller.