Solution of problem 2.4.9 from the collection of Kepe O.E.

Let's solve the problem using statics. It is necessary to determine the reaction of the support D in kN if the moment of the pair of forces M is equal to 13 kN m, the intensity of the distributed load qmax is equal to 8 kN/m, and the dimensions AB and BC are equal to 3 m, and CD is equal to 1 m.

Answer:

First, let's find the reaction of support C:

ΣFy = 0: СDy - qmax*AB*BC - Fcy = 0 => Fcy = CDy - qmax*AB*BC = 8*3 - 8*3 = 0 (кН)

ΣMС = 0: М - qmax*AB^2/2 - CDy*AB - Fcy*BC = 0 => CDy = (М - qmax*AB^2/2 - Fcy*BC)/AB = (13 - 8*3/2 - 0*3)/3 = 1 (кН)

Now let's find the reaction of support D:

ΣFy = 0: Dy - СDy = 0 => Dy = СDy = 1 (кН)

Answer: 10.0.

Solution to problem 2.4.9 from the collection of Kepe O..

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We present to your attention a product - a solution to problem 2.4.9 from the collection "Problems in Theoretical Mechanics" by the author Kepe O.?. This problem is solved statically and requires determining the reaction of the support D in kN. The input data are the moment of a pair of forces M, the intensity of the distributed load qmax and the dimensions AB, BC, CD.

Our product is a beautifully designed solution to a problem in HTML format. The solution is presented in the form of a step-by-step algorithm with detailed explanations of each stage, which makes it easy to understand and remember the solution.

This product will be useful to students, teachers and everyone who studies theoretical mechanics. You can purchase it from our digital store and use it for your educational purposes. The answer to the problem is 10.0 kN.

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Solution to problem 2.4.9 from the collection of Kepe O.?. consists in determining the reaction of the support D in kN for given parameters.

From the problem conditions it is known that the moment of the pair of forces M is equal to 13 kN m, the intensity of the distributed load qmax is equal to 8 kN/m, and the dimensions AB and BC are equal to 3 m, and CD is equal to 1 m.

To solve the problem, it is necessary to construct a reaction diagram of the support and write equilibrium equations. The figure should indicate the vertical reaction of support D and the horizontal reactions of supports A and C.

Using the equilibrium equations, you can find the reaction of the support D. After substituting the known values ​​and solving the equations, the answer is obtained: the reaction of the support D is equal to 10.0 kN.

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