Solution C1-62 (Figure C1.6 condition 2 S.M. Targ 1989)

Solution to problem C1-62 (Figure C1.6, condition 2, S.M. Targ, 1989)

There is a rigid frame located in a vertical plane (Fig. C1.0 - C1.9, Table C1). The frame is hinged at point A and attached at point B 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 calculations we take a = 0.5 m.

Solution: To solve the problem we use equilibrium conditions. From geometric considerations, it can be established that the vertical component of the force in the cable is equal to P = 25 kN. You can also notice that point C is the reference point, therefore, the reaction of the connection at this point is zero.

Let's consider horizontal balance. The sum of the projections of forces on the horizontal axis is equal to zero: F₂ cos 15° + F₃ cos 60° = Aₓ + Bₓ

Let's look at vertical balance. The sum of the projections of forces on the vertical axis is zero: F₂ sin 15° + F₃ sin 60° + P = A_y + B_y

It is also necessary to take into account the moment of force acting on the frame: M = A_y * a - Bₓ * a + 100 kN m

Having solved this system of equations, we obtain: Aₓ = -67.3 kN, A_y = 17.7 kN, Bₓ = 67.3 kN, B_y = 7.3 kN

Thus, the reactions of the bonds at points A and B are equal: A = (-67.3 kN, 17.7 kN), B = (67.3 kN, 7.3 kN).

Decision C1-62

Digital product: Solution of problem C1-62 (Figure C1.6, condition 2, S.M. Targ, 1989)

This solution contains a detailed calculation of the reaction reactions at points A and B for a rigid frame located in a vertical plane. The frame is hinged at point A and attached at point B 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.

This solution is an indispensable assistant for students, teachers and anyone interested in mechanics.

Price: 200 rub.

Solution C1-62 (Figure C1.6 condition 2 S.M. Targ 1989) is a product that represents a solution to a mechanics problem for a rigid frame located in a vertical plane. In the problem, it is necessary to determine the reactions of the connections at points A and B caused by the acting loads. The frame is hinged at point A and attached at point B 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 solution contains a detailed calculation of the bond reactions at points A and B, performed using equilibrium conditions. The price of the product is 200 rubles. Solution C1-62 (Figure C1.6 condition 2 S.M. Targ 1989) will be useful for students, teachers and anyone interested in mechanics.

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Solution C1-62 is a structure consisting of a rigid frame, hinged at point A, and attached at point B 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 determine the reactions of bonds at points A and B caused by active loads, it is necessary to carry out calculations in which the value a = 0.5 m is taken.

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