Solution C1-19 (Figure C1.1 condition 9 S.M. Targ 1989)

Solution problem Solution C1-19 (Figure C1.1 condition 9 S.M. Targ 1989)

A rigid frame located in a vertical plane (Fig. C1.0 - C1.9, Table C1) is hinged at point A, and at point B it is 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. 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 conditions 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, etc.). It is necessary to determine the reactions of the connections at points A, B, caused by the acting loads. For final calculations, take a = 0.5 m. Solution: To begin with, Figure C1.1 of condition 9 S.M. Targ 1989 allows us to identify points A, B and C on the frame and understand that there are three forces acting on it. Let's consider the forces acting on the frame. A pair of forces with a moment M = 100 kN m creates a torque directed counterclockwise. Forces F2 and F3 create the vertical and horizontal components of the force vectors, respectively. The load at point C creates a horizontal force in the cable thrown over the block. To solve the problem, it is necessary to apply equilibrium conditions. The sum of all horizontal forces is zero since the frame is at rest. The sum of all vertical forces must also be zero, since the frame is in a horizontal plane. The sum of the moments of forces relative to point A is also zero. This allows us to express the bond reactions at points A and B: RA = (F2 * BC + F3 * AC) / AB = (10 * sin(15) * 4 + 15 * sin(60) * 3) / 5 = 11.5 kN RB = P + RA - F2 = 25 + 11.5 - 10 = 26.5 kN The solution is ready. The bond reactions at points A and B are 11.5 kN and 26.5 kN, respectively. Solution C1-19 (Figure C1.1 condition 9 S.M. Targ 1989) is a digital product presented in our digital goods store. This product is a solution to a statics problem associated with determining the reactions of connections at points of a rigid frame acting under load. In a beautifully designed html code you will find a detailed description of the problem, as well as a solution based on the application of equilibrium conditions for forces and moments. The solution uses formulas and calculations to help you easily understand how each of the bond reactions at points A and B was obtained. This digital product is ideal for students and professionals involved in mechanics and statics, as well as for anyone interested in this topic . You can easily purchase and download the solution to the problem in a format convenient for you to use in your research and projects.

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Solution C1-19 is a structure consisting of a rigid frame, which is located in a vertical plane. The frame is hinged at point A, and at point B it is attached to a weightless rod with hinges at the ends or to a hinged support on the rollers. A cable is attached to the frame, which is thrown over a block and carries a load weighing 25 kN at its end.

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. 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.

It is necessary to determine the reactions of the connections at points A and B caused by the acting loads. For final calculations, the parameter value a = 0.5 m is accepted.

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