A supported beam shown in Figure 4.1 has a Young's modulus E = 2.1-10 N/m, a...
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A supported beam shown in Figure 4.1 has a Young's modulus E = 2.1-10" N/m², a length L = 5.5 m, and a moment of inertia 1 = bh³/12 m* where it's rectangular cross section width is b = 0.18 m and the cross section height is h = 0.13 m. The beam carries the total weight Q=15-10* N which can be considered as a constant distributed load q(x)=Q/L. x m, L, EI q(x) Figure 4.1. The supported beam. According to the Euler-Bemoulli beam theory the problem is governed by equation 4.1. EI Eld* w(x) = q(x) dx a) Sketch the expected deflection shape of the beam. (4.1) (0.5 p) b) Specify and motivate which of the given data that gives the largest uncertainty in the result. (0.5 p) c) Compare the static deflection of the beam at x = L/3 and x = 2L/3. (2p) A supported beam shown in Figure 4.1 has a Young's modulus E = 2.1-10" N/m², a length L = 5.5 m, and a moment of inertia 1 = bh³/12 m* where it's rectangular cross section width is b = 0.18 m and the cross section height is h = 0.13 m. The beam carries the total weight Q=15-10* N which can be considered as a constant distributed load q(x)=Q/L. x m, L, EI q(x) Figure 4.1. The supported beam. According to the Euler-Bemoulli beam theory the problem is governed by equation 4.1. EI Eld* w(x) = q(x) dx a) Sketch the expected deflection shape of the beam. (4.1) (0.5 p) b) Specify and motivate which of the given data that gives the largest uncertainty in the result. (0.5 p) c) Compare the static deflection of the beam at x = L/3 and x = 2L/3. (2p)
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a The expected deflection shape of the beam would be a curve that is concave down with the maximum d... View the full answer
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