The simply supported beam shown in Figure 1 (see next slide) spans a distance of L = 6 m and carries two concentrated loads P, which are applied at a distance of a = 1.5 m from the supports. The beam is fabricated by bolting a steel plate between two wood planks (see Figure 2). The wood planks each have dimensions of b = 30 mm and d = 240 mm. The steel plate has dimensions of t = 9.5 mm and d = 240 mm. The moduli of elasticity of the wood and the steel are 12.5 GPa and 200 GPa, respectively. a) Determine the maximum bending stresses produced in the wood planks and the steel plate if P = 8 kN. b) Assume that the allowable bending stresses of the wood and the steel are 8.25 MPa and 150 MPa, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.)
The simply supported beam shown in Figure 1 (see next slide) spans a distance of L = 6 m and carries two concentrated loads P, which are applied at a distance of a = 1.5 m from the supports. The beam is fabricated by bolting a steel plate between two wood planks (see Figure 2). The wood planks each have dimensions of b = 30 mm and d = 240 mm. The steel plate has dimensions of t = 9.5 mm and d = 240 mm. The moduli of elasticity of the wood and the steel are 12.5 GPa and 200 GPa, respectively. a) Determine the maximum bending stresses produced in the wood planks and the steel plate if P = 8 kN. b) Assume that the allowable bending stresses of the wood and the steel are 8.25 MPa and 150 MPa, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.)
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