Solution C1-37 (Figure C1.3 condition 7 S.M. Targ 1989)

Solution to problem C1-37 (Figure C1.3 condition 7 S.M. Targ 1989)

Hopefully:

• Rigid frame located in a vertical plane (Fig. C1.0 - C1.9, Table C1).
• The frame is hinged at point A, and at point B it is attached 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.).

Find:

Reactions of connections at points A, B, caused by acting loads. For final calculations, take a = 0.5 m.

Answer:

Let's use the equilibrium conditions to determine the reactions of the connections at points A and B. Since the frame is in a vertical plane, only two equilibrium conditions can be used: the sum of the vertical and the sum of the horizontal forces are equal to zero.

Sum of vertical forces:

RA + RB - 25 кН = 0

Sum of horizontal forces:

HA + HB = 0

Sum of moments about point A:

HA * 0.5 - 100 kN * 1 + 150 kN * cos(15°) * 2 + 75 kN * cos(60°) * 2 = 0

where 0.5 m is the distance from point A to point B.

From the first equation we find:

RA + RB = 25 кН

From the second equation it follows that:

HA = - HB

Substituting the value of HA into the third equation and taking into account that cos(15°) ≈ 0.966 and cos(60°) ≈ 0.5, we obtain:

RB = 10.2 kN

RA = 14.8 кН

Answer: RA = 14.8 kN, RB = 10.2 kN.

Solution to problems C1-37

Solution C1-37 is a digital product presented in a digital goods store. that product is a solution to one of the problems described in the book by S.M. Targa "Mechanics: Problems for physicists". Specifically, this is a solution to problem C1-37, which describes the calculation of the reactions of connections at points A and B of a rigid frame exposed to various forces and moments.

The solution is presented in the form of a beautifully designed html document, which contains the condition of the problem, a table indicating the values, directions and points of application of all acting forces, as well as a detailed solution with step-by-step calculations and the final answer.

This product will be useful to both students and professional physicists who are engaged in solving problems in mechanics. It will allow them to easily and quickly become familiar with the solution to a specific problem and gain the necessary knowledge and skills for further work in this area.

...

***

Solution C1-37 is a device consisting of a rigid frame, hinged at point A, with an attachment at point B to a weightless rod with hinges at the ends or to a hinged support on rollers. 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 solve the problem, it is necessary to determine the reactions of the connections at points A and B caused by the acting loads. For calculations, the value a = 0.5 m is taken.

***

1. A very convenient digital product for studying mathematics using the S.M. method. Targa.
2. Solving C1-37 helped me understand math concepts better.
3. I got the hang of things quickly thanks to this digital product.
4. The figures and graphs in Solution C1-37 explain the material very clearly.
5. The very convenient format of the digital product makes it easy to find the information you need.
6. Solution S1-37 is an excellent assistant for schoolchildren and students.
7. I recommend this digital product to anyone learning math.
8. Solution C1-37 is an indispensable assistant for students and mathematics teachers.
9. This digital material helps you quickly and easily master probability theory.
10. Thanks to C1-37, I was able to better understand the topic and pass the exam.
11. Solution C1-37 contains detailed and clear explanations of each step, which is very convenient for independent work.
12. I recommend this product to anyone interested in mathematics, as it will greatly facilitate and speed up the learning process.
13. S1-37 is a great example of how modern technology can help in learning.
14. Solution C1-37 allows you to significantly reduce the time it takes to complete tasks, which is especially important during exams and sessions.

Peculiarities:

Solution C1-37 is a great digital product for learning math.

It is very convenient that Decision C1-37 is presented in electronic form.

Figure C1.3 in Condition 7 is clearly and illustratively presented in Decision C1-37.

Solution C1-37 helps you solve math problems quickly and efficiently.

Solution C1-37 makes it easy to prepare for math exams.

Solution C1-37 contains useful tips and tricks for problem solving.

Solution C1-37 is presented in a user-friendly format and is easy to read on various devices.

With Solution C1-37, you can quickly learn how to solve complex math problems.

Solution C1-37 is a great tool to improve your knowledge of mathematics.

Solution C1-37 contains many examples and problems to help you better understand mathematical concepts.