Solution to problem 2.4.15 from the collection of Kepe O.E.

Let's solve problem 2.4.15.

Given: a homogeneous beam weighing 100 kN, fixed in hinge A, the angle of inclination of the beam to the wall is ?=60°.

You need to find: the pressure of the beam on the wall in kN.

Solution: let us denote the pressure force of the beam on the wall as P. Since the beam is in equilibrium, the sum of the moments of forces acting on the beam is equal to zero:

where M_A - moment of reaction force of the hinge A, M_P - moment of pressure force P.

Since hinge A does not exert horizontal forces, the sum of the horizontal forces is zero:

The force of gravity G = 100 kN acts vertically, as well as the vertical reaction of the hinge A:

The angle of inclination of the beam to the wall is ?=60°, therefore, the angle between the pressure force P and the horizontal plane is 60°. Then the sum of the moments of forces relative to point A:

Sum of moments of forces about point P:

Sum of vertical forces:

Now we can write the equilibrium equation:

Where do we find the pressure force P:

Answer: the pressure of the beam on the wall is 86.6 kN.

Solution to problem 2.4.15 from the collection of Kepe O..

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In this file you will find a detailed description of the solution to problem 2.4.15, which describes the forces and moments acting on a uniform beam fixed in a hinge and resting on a smooth wall at an angle of 60°. The solution is presented in the form of formulas and step-by-step instructions, which makes it understandable and accessible to anyone who wants to study mechanics.

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A digital product is offered - a solution to problem 2.4.15 from the collection of Kepe O.?. in electronic format. This file contains a detailed description of the solution to a problem that describes the forces and moments acting on a uniform beam fixed in a hinge and resting on a smooth wall at an angle of 60°. The solution is presented in the form of formulas and step-by-step instructions, which makes it understandable and accessible to anyone who wants to study mechanics.

By purchasing this digital product, you get access to a high-quality solution to problem 2.4.15 from the collection of Kepe O.?. in an electronic format convenient for you. Beautiful html design makes using this product even more pleasant and convenient. The solution will allow you to improve your knowledge in the field of mechanics and gain valuable experience in solving complex problems.

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This product is a solution to problem 2.4.15 from the collection "Problems in Physics" by author O.?. Kepe. The problem describes a uniform beam weighing 100 kN, which is fixed at hinge A and rests on a smooth wall at an angle of 60 degrees. It is required to determine the force of pressure of the beam on the wall in kilonewtons.

The problem is solved by applying the laws of mechanics and trigonometry. To obtain the correct answer, it is necessary to calculate the component of the weight force directed along the wall, and then divide it by the contact area of ​​the beam with the wall.

The final answer obtained as a result of solving the problem is 86.6 kilonewtons. The solution to the problem is presented in a clear and accessible form, with a step-by-step description of the solution process and explanations of each step.

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