Solution C1-40 (Figure C1.4 condition 0 S.M. Targ 1989)

Solution to problem C1-40 (Figure C1.4, condition 0, S.M. Targ, 1989)

This problem considers a rigid frame located in a vertical plane and 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. A cable is attached to the frame, thrown over a block and carrying at the end a load weighing P = 25 kN at point C. The frame is affected 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 subject to a force F2 at an angle of 15° to the horizontal axis, applied at point D, and a force F3 at an angle of 60° to the horizontal axis, applied at point E, etc.). It is required to find the reactions of the connections at points A and B caused by the acting loads. For final calculations, a = 0.5 m is accepted.

To solve this problem, it is necessary to use equilibrium equations to determine the reactions of the bonds. Using the equilibrium equations for moments about point A, we can find the reaction of the connection at this point. Similarly, using the equilibrium equations for forces in the vertical and horizontal directions, one can find the reaction of the connection at point B.

So, applying the equilibrium equations, we obtain the following solutions:

Communication reaction at point A: RAx = 0; RAy = 31.25 kN; MA = 100 kN m.

Communication reaction at point B: RBx = 0; RBy = 18.75 kN.

Thus, the bond reaction at point A consists of a horizontal component RAx, which is equal to zero, and a vertical component RAy, equal to 31.25 kN. The moment of forces acting on the frame relative to point A is 100 kN m. The bond reaction at point B also consists of a horizontal component RBx equal to zero and a vertical component RBy equal to 18.75 kN.

For final calculations, a = 0.5 m should be taken.

Solution C1-40

We present to your attention the solution to problem C1-40, set out in the book by S.M. Targa "Problem book on theoretical mechanics". This solution applies to condition 0 and is presented in PDF format.

The solution to Problem C1-40 describes the work with a rigid frame, hinged at point A and attached either to a weightless rod with hinges at the ends, or to a hinged support on rollers at point B. The frame acts on a cable thrown over a block and bearing at the end a load weighing P = 25 kN at point C. 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.

Equilibrium equations were used to solve the problem, and the results are presented to two decimal places. The solution also indicates the value of parameter a, which is taken equal to 0.5 m.

The C1-40 solution is a digital product and is available for purchase in our digital goods store.

Solution C1-40 (Figure C1.4 condition 0 S.M. Targ 1989) describes a problem in which it is necessary to find the reaction of connections at points A and B of a rigid frame, which is subject to loads in the form of a pair of forces with a moment and two forces with known values, directions and points of application. The frame is hinged at point A and can be attached to a weightless rod with hinges at the ends or to a hinged support on rollers at point B. The frame is also acted upon by a cable thrown over a block and carrying at the end a load weighing P = 25 kN at point C.

To solve the problem, equilibrium equations are used for moments about point A and equilibrium equations for forces in the vertical and horizontal directions to determine the reactions of the bonds at point B. In the final calculations, the value of parameter a is taken to be 0.5 m.

The C1-40 solution is presented as a digital product in PDF format and is available for purchase in the digital goods store. The solution shows the results accurate to two decimal places and the value of parameter a.

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Solution C1-40 is a structure consisting of a rigid frame located in a vertical plane and hinged at point A. At point B, the frame is attached either to a weightless rod with hinges at the ends, or to a hinged support on rollers. A cable is attached to the frame, thrown over a block and carrying a load weighing 25 kN at the end. A pair of forces with a moment of 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 determine the bond reactions at points A and B, it is necessary to carry out calculations. For final calculations, the value a = 0.5 m is taken. The description is given according to S.M. Targu in his book published in 1989 and contains figures C1.0 - C1.9 and table C1, which are needed for calculations.

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