In problem C4-75 from the textbook S.M. Targa (image C4.7, condition 5, 1989) there are two homogeneous rectangular thin slabs, rigidly connected at right angles and secured with hinges and rods at points A and B. The dimensions of the slabs are indicated in the figure, and the weight of each slab is also known ( P1 = 5 kN, P2 = 3 kN). Each plate is located parallel to one of the coordinate planes (the xy plane is horizontal). The plates are acted upon by a pair of forces 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 points of application are indicated in Table C4. Forces F1 and F4 lie in planes parallel to the xy plane, force F2 in a plane parallel to xz, and force F3 in a plane parallel to yz. The points of application of forces (D, E, N, K) are located in the corners or in the middle of the sides of the slabs. It is necessary to determine the reaction of the bonds at points A and B and the reaction of the rod (rods). In the calculations, a = 0.6 m is assumed. Options for fixing the plates may differ: in Figures C4.0-C4.7, one hinge (at point A), one bearing (at point B) and one weightless rod (1) are used, in while in Figures C4.8 and C4.9 two bearings (at points A and B) and two weightless rods (1 and 2) are used.
The digital product "Solution C4-75" is a training task from the textbook by S.M. Targa, image C4.7, condition 5, 1989 edition.
In the problem, there are two homogeneous rectangular thin slabs, rigidly connected at right angles and secured with hinges and rods at points A and B. The dimensions of the slabs are indicated in the figure, and the weight of each slab is also known (P1 = 5 kN, P2 = 3 kN). Each plate is located parallel to one of the coordinate planes (the xy plane is horizontal). The plates are acted upon by a pair of forces 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 points of application are indicated in Table C4.
Forces F1 and F4 lie in planes parallel to the xy plane, force F2 in a plane parallel to xz, and force F3 in a plane parallel to yz. The points of application of forces (D, E, N, K) are located in the corners or in the middle of the sides of the slabs.
It is necessary to determine the reaction of the bonds at points A and B and the reaction of the rod (rods). In the calculations, a = 0.6 m is assumed. Options for fixing the plates may differ: in Figures C4.0-C4.7, one hinge (at point A), one bearing (at point B) and one weightless rod (1) are used, in while in Figures C4.8 and C4.9 two bearings (at points A and B) and two weightless rods (1 and 2) are used.
This solution is a detailed algorithm for calculating the reactions of bonds and rod (rods) at points A and B based on specified conditions. The solution is drawn up in accordance with the requirements of the textbook by S.M. Targa, image C4.7, condition 5, 1989 edition.
Solution C4-75 (Figure C4.7 condition 5 S.M. Targ 1989) is an algorithmic description of the calculation of reactions of bonds and rod (rods) in problem C4-75 from the textbook by S.M. Targa. In the problem there are two homogeneous rectangular thin plates, rigidly connected at right angles and secured by hinges and rods at points A and B. The plates are acted upon by a pair of forces with a moment M = 4 kN m and two forces whose values, their directions and points of application are listed in Table C4. The points of application of forces are in the corners or in the middle of the sides of the slabs. It is necessary to determine the reaction of the bonds at points A and B and the reaction of the rod (rods). In the calculations, a = 0.6 m is taken. The solution is a detailed algorithm for calculating the reactions of the connections and the rod (rods) in accordance with the conditions of the problem and the requirements of the textbook by S.M. Targa.
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Solution C4-75 is a structure of two homogeneous rectangular thin plates, rigidly connected at right angles to each other and secured by a spherical hinge at point A, a cylindrical hinge at point B and a weightless rod 1 or two bearings at points A and B and two weightless rods 1 and 2. All rods are attached to the plates and to fixed supports with hinges. The dimensions of the slabs are indicated on
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