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匿名用户 最后更新于 2021-11-29 17:06 土木工程Civil Engineering

Task 4 A planar lattice structure is loaded, as shown in Figure 1 (next page). by a beam of mass M, giving rise to a downward, evenly distributed load of q = Mg/L, where L is the total length of the beam, and g is the acceleration of gravity. The beam is also loaded by a concentrated force, F, acting at the distance a from the left beam end. The beam is attached to the lattice structure in two vertical lattice bars from point F and D so that it only affects the lattice construction at these two points with vertical force components. In addition, the structure simply supported at point A and rolling supported at point G. The grid bars considered massless. It is stated that a = 3 m, b = 1 m, M = 400 kg, F = 2000 N og g = 9,81 m $2 a a a A B a с G F b a F Task 4 A planar lattice structure is loaded, as shown in Figure 1 (next page), by a beam of mass M, giving rise to a downward, evenly distributed load of q = Mg/L, where L is the total length of the beam, and g is the acceleration of gravity. The beam is also loaded by a concentrated force, F, acting at the distance a from the left beam end. The beam is attached to the lattice structure in two vertical lattice bars from point F and D so that it only affects the lattice construction at these two points with vertical force components. In addition, the structure simply supported at point A and rolling supported at point G. The grid bars considered massless. It is stated that a = 3 m, b = 1 m, M = 400 kg, F = 2000 N og g = 9,81 m S a a a A B a с D G F bk b a F Figur 1 a) Draw free play diagram for: 1) the grid construction when it is released from the supports and the beam, and for: 2) the beam when this is released from the lattice construction. b) Determine the vertical force components in points D and F with which the beam affects the grid construction. Enter result both as symbol expression and numerical value. c) Determine the reaction forces in points A and G and state the direction and magnitude of the resulting force in the two support points. d) Determine the bar force in the bars | AB,BC, EF | and CF ], and specify whether the bars are in pull, push or unloaded.

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