Solution C1-38 (Figure C1.3 condition 8 S.M. Targ 1989)

Solution C1-38 (Figure C1.3 condition 8 S.M. Targ 1989) A rigid frame located in a vertical plane (Figure C1.0 - C1.9, Table C1) is hinged at point A, and at point B 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 and B caused by the acting loads. For final calculations, take a = 0.5 m. Let us consider each connection point separately. Point A: Since the frame is hinged at point A, the coupling reaction at this point consists only of vertical force. Let's denote this force as Ra. The sum of the vertical forces at point A is zero: Ra - 25 = 0 From here we obtain that Ra = 25 kN. Point B: The bond reaction at point B consists of horizontal and vertical forces. Let us denote them as Rx and Ry, respectively. From the conditions of the problem it follows that point B is either attached to a weightless rod with hinges at the ends, or to a hinged support on rollers. In both cases, the horizontal force at point B must be zero (since the rod or support cannot exert a horizontal coupling reaction). The sum of horizontal forces at point B is equal to zero: Rx = 0 The sum of vertical forces at point B is equal to the sum of forces acting on the frame at this point: Ry - 100 - 25*sin(60) - 40*sin(45) = 0 From here we get , that Ry = 137.8 kN. Thus, the reaction of the bonds at points A and B are equal to 25 kN and 137.8 kN, respectively. The digital goods store presents a unique product - “Solution C1-38 (Figure C1.3 condition 8 S.M. Targ 1989).” This digital product is an excellent choice for students and professionals involved in engineering and construction calculations. Designed in beautiful html, this solution to the problem contains detailed and clear explanations and illustrations that will help you easily understand and solve this problem. Solution C1-38 covers calculations of reaction reactions at points A and B of a rigid frame located in a vertical plane, which is subject to various loads. By purchasing this digital product, you will gain access to high-quality and proven material that will help you master new knowledge and improve your calculation skills.

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Solution C1-38 is a structure consisting of a rigid frame, hinged at point A, to which a cable is attached, thrown over a block and carrying a load weighing 25 kN at the end. At point B, the frame is attached either to a weightless rod with hinges at the ends, or to a hinged support on rollers.

The frame is acted upon by a pair of forces with a moment of 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 subject to a force F2 applied at point D at an angle of 15° to the horizontal axis, and a force F3 applied at point E at an angle of 60° to the horizontal axis, etc.

It is necessary to determine the reactions of the connections at points A and B caused by the acting loads. When calculating, you should take the value a = 0.5 m.

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