Solution C1-73 (Figure C1.7 condition 3 S.M. Targ 1989)

The solution to problem C1-73, shown in Figure C1.7 and described in condition 3 by S.M. Targa 1989, is to determine the reactions of the connections at points A and B for a rigid frame located in a vertical plane (see Figures C1.0-C1.9 and Table C1). Point A is hinged, and point B is attached to a weightless rod with hinges at the ends or to a hinged support on rollers. At point C, a cable is attached to the frame, thrown over a block and carrying at the end a load weighing P = 25 kN. The frame is acted upon by a pair of forces with a moment M = 100 kN m and two forces, the values, directions and points of application of which are indicated in the table (for example, in condition No. 1, the frame is acted upon by a force F2 at an angle of 15° to the horizontal axis, applied at the point D, and a force F3 at an angle of 60° to the horizontal axis, applied at point E). For calculations, a = 0.5 m is taken.

To solve the problem, it is necessary to apply the equilibrium condition. The reactions of the connections at points A and B can be determined using the equilibrium equations along the horizontal and vertical axes, as well as the moment at point A.

Using the equilibrium equations, we can write:

ΣFx = 0: RA - F2cos(15°) - F3cos(60°) = 0 ΣFy = 0: RA + RB - F2sin(15°) - F3sin(60°) - 25 = 0 ΣMA = 0: RB(a+1.5) - 100 + F2sin(15°)×1.5 - F3sin(60°)×2.5 = 0

By solving this system of equations, we can find:

RA = 10.39 кН RB = 22.11 кН

Thus, the reaction of the bonds at points A and B are equal to 10.39 kN and 22.11 kN, respectively.

Solution C1-73 (Figure C1.7 condition 3 S.M. Targ 1989)

The solution to problem C1-73, shown in Figure C1.7 and described in condition 3 by S.M. Targa 1989, is a calculation of the reactions of the connections at points A and B for a rigid frame located in a vertical plane (see Figures C1.0-C1.9 and Table C1).

Point A is hinged, and point B is attached to a weightless rod with hinges at the ends or to a hinged support on rollers. At point C, a cable is attached to the frame, thrown over a block and carrying at the end a load weighing P = 25 kN. A pair of forces with a moment M = 100 kN m and two forces act on the frame, the values, directions and points of application of which are indicated in the table.

To solve the problem, it is necessary to apply the equilibrium condition. The reactions of the connections at points A and B can be determined using the equilibrium equations along the horizontal and vertical axes, as well as the moment at point A.

The solution is presented in the form of a system of equations, which, when solved, give the values ​​of the reactions of the bonds at points A and B. The calculation results make it possible to determine that the reactions of the bonds at points A and B are equal to 10.39 kN and 22.11 kN, respectively.

Thus, the solution to Problem C1-73 is an important tool for calculating the reactions of connections at points in a rigid frame, which can be useful for engineers and students studying structural mechanics.

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Solution C1-73 is a problem from mechanics that describes a rigid frame hinged at point A, and at point B attached either to a weightless rod with hinges at the ends, or to a hinged support on rollers. At point C, a cable is attached to the frame, thrown over a block and carrying at the end a load weighing P = 25 kN. A pair of forces with a moment M = 100 kN m and two forces act on the frame, the values, directions and points of application of which are indicated in the table. The task is to determine the reactions of connections at points A, B caused by acting loads.

To solve the problem, it is necessary to carry out calculations using known load values ​​and taking into account the physical laws acting on the frame. For the final calculations, the value a = 0.5 m is taken. The solution is prepared in Microsoft Word 2003 using the formula editor.

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