Solution C4-58 (Figure C4.5 condition 8 SM Targ 1989)
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Solution C4-58 (Figure C4.5 condition 8 SM Targ 1989)
Two uniform rectangular thin plates are rigidly welded at right angles to each other and fixed by a spherical hinge (or thrust bearing) at point A, a cylindrical hinge (bearing) at point B, and a weightless rod 1 (Figure C4.0-C4.7 ) or two bearings at points A and B and two weightless rods 1 and 2 (Figure C4.8, C4.9); All the rods are attached to the plates and to the fixed supports by hinges. The dimensions of the plates are shown in the figures; weight of the larger plate P1 = 5 kN, weight of the smaller plate P2 = 3 kN. Each of the plates is parallel to one of the coordinate planes (the xy-plane is horizontal). A couple of forces act on the plates with a moment M = 4 kN · m, lying in the plane of one of the plates, and two forces. The values of these forces, their directions and application points are indicated in Table. C4; the forces F1 and F4 lie in planes parallel to the xy plane, the force F2 in the plane parallel to xz, and the force F3 in the plane parallel to yz. The points of application of forces (D, E, H, K) are in the corners or in the middle of the sides of the plates. Determine the reaction of bonds at points A and B and the reaction of the rod (rods). When counting, take a = 0.6 m.
Two uniform rectangular thin plates are rigidly welded at right angles to each other and fixed by a spherical hinge (or thrust bearing) at point A, a cylindrical hinge (bearing) at point B, and a weightless rod 1 (Figure C4.0-C4.7 ) or two bearings at points A and B and two weightless rods 1 and 2 (Figure C4.8, C4.9); All the rods are attached to the plates and to the fixed supports by hinges. The dimensions of the plates are shown in the figures; weight of the larger plate P1 = 5 kN, weight of the smaller plate P2 = 3 kN. Each of the plates is parallel to one of the coordinate planes (the xy-plane is horizontal). A couple of forces act on the plates with a moment M = 4 kN · m, lying in the plane of one of the plates, and two forces. The values of these forces, their directions and application points are indicated in Table. C4; the forces F1 and F4 lie in planes parallel to the xy plane, the force F2 in the plane parallel to xz, and the force F3 in the plane parallel to yz. The points of application of forces (D, E, H, K) are in the corners or in the middle of the sides of the plates. Determine the reaction of bonds at points A and B and the reaction of the rod (rods). When counting, take a = 0.6 m.
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