Solution of problem 2.4.3 from the collection of Kepe O.E.

Let's solve the problem:

Hopefully:

• Beam length: $l = 3$ m
• Moment of first force: $M_1 = 2$ kN m
• Second force moment: $M_2 = 8$ kN m

Find: support reaction modulus B in kN

Answer:

Let $R_B$ be the modulus of reaction of support B.

Then the sum of the moments of forces must be equal to zero:

$$M_1 + M_2 - R_B \cdot l = 0$$

From here we get:

$$R_B = \frac{M_1 + M_2}{l} = \frac{2 + 8}{3} = 2\text{ кН}$$

Thus, the modulus of reaction of support B is 2.0 kN.

Product description: Solution to problem 2.4.3 from the collection of Kepe O..

The solution to problem 2.4.3 from the collection of Kepe O.. is a digital product that will be useful to students and teachers studying theoretical mechanics.

The solution to the problem is designed in accordance with the requirements of the HTML style, which makes it attractive and easy to use.

This solution presents problem 2.4.3 from the collection of problems on theoretical mechanics by O.. Kepe, which concerns the determination of the modulus of reaction of the support B when a pair of forces with given moments is applied to the beam.

This solution is presented in an easy-to-read form, with a detailed description of all stages of the solution and a step-by-step explanation of all formulas and calculations. It will help students and teachers better understand the material and successfully cope with tasks in theoretical mechanics.

Solution of problem 2.4.3 from the collection of problems on theoretical mechanics of O.?. Kepe is a digital product that will be useful to students and teachers studying theoretical mechanics. In this problem, it is necessary to determine the modulus of reaction of support B on a beam 3 m long, which is acted upon by pairs of forces with moments M1 = 2 kN m and M2 = 8 kN m.

The solution to the problem is designed in accordance with the requirements of the HTML style, which makes it attractive and easy to use. The solution presents a step-by-step algorithm for solving the problem with a detailed description of all stages and a step-by-step explanation of all formulas and calculations.

This solution will help students and teachers better understand the material and successfully complete tasks in theoretical mechanics. The result of solving the problem is the reaction modulus of support B, which is equal to 2.0 kN.

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Problem 2.4.3 from the collection of Kepe O.?. consists in determining the modulus of reaction of support B on a beam 3 m long, which is acted upon by pairs of forces with moments M1 = 2 kN m and M2 = 8 kN m. It is necessary to determine the support reaction modulus B in kN.

To solve the problem, it is necessary to use the moment equilibrium condition. The sum of the moments of forces acting on the beam must be equal to zero. Since the beam is in equilibrium, the modulus of reaction of support B should also be equal to 2 + 8 = 10 kN m.

Next, it is necessary to use the condition of equilibrium of forces. The sum of the forces acting on the beam must be zero. Since the forces act symmetrically relative to the center of the beam, the reaction of support B should be equal to half the sum of the forces, that is, 5 kN.

Thus, the modulus of reaction of support B is 5 kN, or 2.0 kN if rounded to one decimal place, which is the desired answer.

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