Solution to problem 5.7.4 from the collection of Kepe O.E.

5.7.4 At point D, a horizontal homogeneous beam DE with a load of weight G = 800N rests on a horizontal rod structure ABCD, which is held by a vertical cable FH. It is necessary to determine the reaction of bearing A if the distances DF = 2FB, AB = BC. (Answer 400)

This problem is related to determining the reaction of bearing A in a system of loads and structures supported by a vertical cable FH. To solve it, it is necessary to take into account the balance of forces and moments in the system. The distances DF and FB, as well as AB and BC, are known quantities that allow you to determine the necessary parameters and obtain an answer to the problem. The answer is 400.

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This product is a ready-made solution to problem 5.7.4 from the collection of Kepe O.?. in physics. The problem requires determining the reaction of bearing A in a system of loads and structures supported by a vertical cable FH. The distances DF and FB, as well as AB and BC, are known quantities that allow you to determine the necessary parameters and obtain an answer to the problem. The answer is 400.

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Solution to problem 5.7.4 from the collection of Kepe O.?. consists in determining the reaction of bearing A of a horizontal rod structure on which a homogeneous horizontal beam DE rests with a load of weight G = 800N at point D. The structure is held by a vertical cable FH, and distances DF = 2FB, AB = BC.

To solve the problem, it is necessary to apply equilibrium equations for loads and forces acting on the structure and beam. From the conditions of the problem, the weight of the load G and the distances DF, FB, AB, BC are known. Only the reaction of bearing A is unknown.

First you need to determine the forces acting on the structure. The vertical cable FH holds the structure, so its tension is equal to the weight of the structure. Thus, the vertical component of the force acting on the structure is equal to G/2, and the horizontal component is equal to 0.

Then it is necessary to determine the forces acting on the beam. At point D, a downward force G acts on the beam. At point A, the upward reaction of bearing A acts on the beam. Since the beam is in equilibrium, the sum of the vertical and horizontal forces acting on the beam is equal to 0.

From the equilibrium equation for vertical forces it follows:

Similarly, from the equilibrium equation for horizontal forces it follows:

Thus, the reaction of bearing A is 400 N.

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