In physics, pulling force is the force acting on a rope, cord, cable, or a similar object or group of objects. Anything that is pulled, suspended, supported, or swayed by a rope, cord, cable, and so on, is subject to a pulling force. Like all forces, tension can accelerate objects or cause them to deform. The ability to calculate the tensile force is an important skill not only for physics students, but also for engineers, architects; Those who build stable houses need to know if a particular rope or cable can withstand the pulling force of the object's weight so that it does not sag or collapse. Start reading the article to learn how to calculate the tensile force in some physical systems.

Steps

Determination of the tension force on one thread

Determine the forces at each end of the thread. The pulling force of a given thread, rope, is the result of the forces pulling the rope at each end. We remind you force = mass × acceleration... Assuming the rope is taut, any change in the acceleration or mass of an object suspended from the rope will change the tension in the rope itself. Do not forget about the constant acceleration of gravity - even if the system is at rest, its components are objects of the action of gravity. We can assume that the pulling force of a given rope is T = (m × g) + (m × a), where “g” is the acceleration of gravity of any of the objects supported by the rope, and “a” is any other acceleration, acting on objects.
- To solve many physical problems, we assume perfect rope- in other words, our rope is thin, has no mass and cannot stretch or break.
- As an example, let's consider a system in which a load is suspended from a wooden beam using a single rope (see image). Neither the load itself nor the rope moves - the system is at rest. As a result, we know that for the load to be in balance, the tension force must be equal to the gravity force. In other words, Pulling force (F t) = Gravity (F g) = m × g.
  - Suppose the load has a mass of 10 kg, therefore, the tensile force is 10 kg × 9.8 m / s 2 = 98 Newtons.
Consider acceleration. Gravity is not the only force that can affect the pulling force of a rope - any force applied to an object on the rope with acceleration produces the same effect. If, for example, an object suspended from a rope or cable is accelerated by a force, then the acceleration force (mass × acceleration) is added to the tensile force generated by the weight of that object.
- Suppose in our example a 10 kg load is suspended on a rope, and instead of being attached to a wooden beam, it is pulled upward with an acceleration of 1 m / s 2. In this case, we need to account for the acceleration of the load, as well as the acceleration of gravity, as follows:
  - F t = F g + m × a
  - F t = 98 + 10 kg × 1 m / s 2
  - F t = 108 Newtons.
Consider angular acceleration. An object on a rope revolving around a point considered to be the center (like a pendulum) exerts tension on the rope through centrifugal force. Centrifugal force is the additional pulling force that a rope creates by “pushing” it inward so that the load continues to move in an arc rather than in a straight line. The faster the object moves, the greater the centrifugal force. The centrifugal force (F c) is equal to m × v 2 / r where “m” is the mass, “v” is the speed, and “r” is the radius of the circle along which the load is moving.
- Since the direction and value of the centrifugal force changes depending on how the object moves and changes its speed, the total tension on the rope is always parallel to the rope at the center point. Remember that gravity is constantly acting on the object and pulling it down. So if the object is swinging vertically, full tension the strongest at the lowest point of the arc (for a pendulum this is called the equilibrium point) when the object reaches its maximum speed, and the weakest at the top of the arc as the object slows down.
- Let's assume that in our example, the object is no longer accelerating upward, but swinging like a pendulum. Let our rope be 1.5 m long, and our load moves at a speed of 2 m / s, while passing through the lowest point of swing. If we need to calculate the tensile force at the lowest point of the arc, when it is greatest, then first we need to find out whether the load is experiencing equal gravity pressure at this point, as in the state of rest - 98 Newtons. To find additional centrifugal force, we need to solve the following:
  - F c = m × v 2 / r
  - F c = 10 × 2 2 /1.5
  - F c = 10 × 2.67 = 26.7 Newtons.
  - Thus, the total tension will be 98 + 26.7 = 124.7 Newtons.
Note that the pulling force due to gravity changes as the load travels through the arc. As noted above, the direction and magnitude of the centrifugal force changes as the object sways. In any case, although the force of gravity remains constant, net tensile force due to gravity changes too. When the swinging object is not at the lowest point of the arc (equilibrium point), gravity pulls it down, but the pulling force pulls it up at an angle. For this reason, the pulling force must resist part of the force of gravity, and not its entirety.
- Dividing the force of gravity into two vectors can help you visualize this state. At any point in the arc of a vertically swinging object, the rope makes an angle "θ" with a line through the equilibrium point and the center of rotation. As soon as the pendulum begins to swing, the gravitational force (m × g) is divided into 2 vectors - mgsin (θ), acting tangentially to the arc in the direction of the equilibrium point and mgcos (θ), acting parallel to the tension force, but in the opposite direction. The tension can only resist mgcos (θ) - the force directed against it - not all the gravitational force (except for the equilibrium point, where all the forces are the same).
- Let's assume that when the pendulum is tilted 15 degrees from the vertical, it moves at a speed of 1.5 m / s. We will find the tensile force by the following actions:
  - The ratio of the force of tension to the force of gravity (T g) = 98cos (15) = 98 (0.96) = 94.08 Newtons
  - Centrifugal force (F c) = 10 × 1.5 2 / 1.5 = 10 × 1.5 = 15 Newtons
  - Full tension = T g + F c = 94.08 + 15 = 109.08 Newtons.
Calculate the friction. Any object that is pulled by the rope and experiences a "braking" force from the friction of another object (or fluid) transfers this effect to the tension in the rope. The friction force between two objects is calculated in the same way as in any other situation - according to the following equation: Friction force (usually written as F r) = (mu) N, where mu is the coefficient of friction force between objects and N is the usual force of interaction between objects, or the force with which they press on each other. Note that friction at rest - friction that occurs as a result of trying to bring an object at rest into motion - is different from friction in motion - friction that results from trying to force a moving object to continue moving.
- Let's assume that our 10 kg load no longer sways, now it is being towed horizontally with a rope. Suppose that the coefficient of friction of the movement of the earth is 0.5 and our load is moving at a constant speed, but we need to give it an acceleration of 1m / s 2. This issue introduces two important changes - first, we no longer need to calculate pulling force in relation to gravity, since our rope does not support the weight. Second, we will have to calculate the tension due to friction as well as due to the acceleration of the mass of the load. We need to decide the following:
  - Ordinary Force (N) = 10kg & × 9.8 (Acceleration by Gravity) = 98 N
  - Frictional force of motion (F r) = 0.5 × 98 N = 49 Newtons
  - Acceleration force (F a) = 10 kg × 1 m / s 2 = 10 Newtons
  - Total tension = F r + F a = 49 + 10 = 59 Newtons.
Calculating the tensile force on multiple strands
1. Lift vertical parallel weights using the pulley. Blocks are simple mechanisms consisting of a suspended disc that allows the direction of the rope's pulling force to be reversed. In a simple block configuration, the rope or cable runs from the suspended load up to the block, then down to another load, thus creating two sections of rope or cable. In any case, the tension in each of the sections will be the same, even if both ends are pulled by forces of different magnitudes. For a system of two masses suspended vertically in a block, the tensile force is 2g (m 1) (m 2) / (m 2 + m 1), where “g” is the acceleration of gravity, “m 1” is the mass of the first object, “ m 2 "is the mass of the second object.
  - Note the following, physical problems assume that blocks are perfect- do not have mass, friction, they do not break, deform and do not separate from the rope that supports them.
  - Let's suppose that we have two weights suspended vertically at the parallel ends of the rope. One load weighs 10 kg, and the other has 5 kg. In this case, we need to calculate the following:
    - T = 2g (m 1) (m 2) / (m 2 + m 1)
    - T = 2 (9.8) (10) (5) / (5 + 10)
    - T = 19.6 (50) / (15)
    - T = 980/15
    - T = 65.33 Newtons.
  - Note that, since one weight is heavier, all other elements are equal, this system will begin to accelerate, therefore, a 10 kg weight will move downward, forcing the second weight to go up.
2. Suspend weights using blocks with non-parallel vertical strings. Blocks are often used to direct pulling force in a direction other than up or down. If, for example, a load is suspended vertically from one end of a rope, and the other end holds the load in a diagonal plane, then the non-parallel system of blocks takes the form of a triangle with angles at points with the first load, the second and the block itself. In this case, the tension in the rope depends both on the force of gravity and on the component of the pulling force, which is parallel to the diagonal part of the rope.
  - Let's assume that we have a system with a 10 kg (m 1) weight suspended vertically, connected to a 5 kg (m 2) weight placed on a 60 degree inclined plane (this slope is considered to be frictionless). To find the tension in the rope, the easiest way is to first write equations for the forces that accelerate the weights. Then we proceed like this:
    - The suspended load is heavier, there is no friction, so we know that it is accelerating downward. The tension in the rope pulls upward so that it accelerates with respect to the resultant force F = m 1 (g) - T, or 10 (9.8) - T = 98 - T.
    - We know that the load on an inclined plane is accelerated upward. Since it does not have friction, we know that tension pulls the load up the plane, and pulls it down only your own weight. The component of the force pulling down the inclined one is calculated as mgsin (θ), so in our case we can conclude that it is accelerating with respect to the resultant force F = T - m2 (g) sin (60) = T - 5 ( 9.8) (0.87) = T - 42.14.
    - If we equate these two equations, we get 98 - T = T - 42.14. Find T and get 2T = 140.14, or T = 70.07 Newtons.
3. Use multiple strands to hang the object. To conclude, let's imagine an object is suspended from a "Y-shaped" rope system - two ropes are fixed to the ceiling and meet at the center point from which the third rope with a load comes from. The pulling force of the third rope is obvious - a simple pull due to gravity or m (g). The tensions on the other two ropes are different and should add up to a force equal to the force of gravity upright and zero in both horizontal directions, assuming the system is at rest. The tension in the rope depends on the weight of the suspended loads and on the angle by which each rope is deflected from the ceiling.
  - Let's assume that in our Y-shaped system, the bottom weight has a mass of 10 kg and is suspended by two ropes, one of which is 30 degrees from the ceiling and the other 60 degrees. If we need to find the tension in each of the ropes, we need to calculate the horizontal and vertical components of the tension. To find T 1 (the tension in a rope with a 30-degree slope) and T 2 (a tension in a rope with a 60-degree slope), you need to solve:
    - According to the laws of trigonometry, the ratio between T = m (g) and T 1 and T 2 is equal to the cosine of the angle between each of the ropes and the ceiling. For T 1, cos (30) = 0.87, as for T 2, cos (60) = 0.5
    - Multiply the tension in the bottom rope (T = mg) by the cosine of each angle to find T 1 and T 2.
    - T 1 = 0.87 × m (g) = 0.87 × 10 (9.8) = 85.26 Newtons.
    - T 2 = 0.5 × m (g) = 0.5 × 10 (9.8) = 49 Newtons.

The AMTs 11830 monitoring system for the tension level of the containment reinforcement beams is a measuring system for the intended use. High-strength reinforcing bundles are located inside the containment structure in special channels. The reinforcing bundle is a metal rope made of parallel wires in multiple rows. The functional purpose of the reinforcing beam is to provide prestressing of reinforced concrete, from which the structure of the reactor compartment is made, thereby ensuring the strength of the structure in the event of emergencies. A measuring force transducer is designed to measure the tensile forces of the reinforcing beams. The paper describes the design of the tensioning system of the reinforcing beams and the method for transforming the force. The principle of measuring the force of the sensitive element of the string sensor used in the system is considered in detail. The function of converting the force measuring channel is described.

deformation

force transducer

sensing element

arm beam

monitoring system

1. Armature beams [Electronic resource]. - URL: http://www.baurum.ru/_library/?cat=armaturebase&id=170 (date of access: 03/06/2013).

2. Measuring force transducer PSI-02. Manual. - Penza: Research Institute "Controlpribor".

3. Design of sensors for measuring mechanical quantities / under total. ed. Doctor of Technical Sciences E.P. Despondent. - M.: Mechanical Engineering, 1979 .-- 480 p.

4. Monitoring system for the tension level of the reinforcement beams of the containment shell AMTs 11830 [Electronic resource]. - URL: http://www.niikp-penza.ru/armopuchki (date of access: 06.03.2013).

5. Proceedings of IBRAE RAN / under total. ed. Corresponding Member RAS L.A. Bolshova; Institute of Safety Problems of Nuclear Energy Development of the Russian Academy of Sciences. - M.: Nauka, 2007. - Issue. 6: Mechanics of prestressed protective shells of nuclear power plants / scientific. ed. R.V. Harutyunyan. - 2008 .-- 151 p.

The AMTs 11830 monitoring system for the tension level of the containment reinforcing beams (hereinafter referred to as the system) is a target application measuring system. The external view of the containment is shown in Figure 1. Inside the multilayer reinforced concrete structure of the containment (cylindrical and domed parts), high-strength armored beams are located in special channels. The reinforcing bundle is a metal rope made of multi-row laying from parallel wires with a diameter of 5.2 mm. The functional purpose of the armored beam is to provide prestressing of reinforced concrete, from which the structure of the reactor compartment is made, thereby ensuring the strength of the structure in the event of emergencies.

Figure 1 - Prestressed containment of a nuclear unit

The system is intended:

To control the magnitude of the loss of tensile forces of the armored beams of the containment prestressing system (hereinafter referred to as SPZO) at their heavy ends when transferring forces from the hydraulic jack to the anchor device SPZO during the period of their tension;

To observe the dynamics of the change in the tensile forces of the SPZO armored beams on their anchors during the period of operation.

The system is multichannel and has up to 32 measuring channels combined in 2 directions.

The system consists of the following main functional parts:

Workstation;

Set of cables;

PSI-02 is designed to measure tension forces of reinforcing beams SPZO. The external view of PSI-02 is shown in Figure 2.

Figure 2 - External view of PSI-02

PSI-02 consists of DC-03 force sensors, a PSD-S-01 sensor signal converter and two cables. The number of force measuring channels in PSI-02 is 12. For each measuring channel of the PSI-02 force, the coefficients of the individual transformation function are determined. The input signal of the PSI-02 force measuring channel is the force acting on one DC-03 measuring module in the range from 0 to 1.25 MN.

The operating principle of PSI-02 is based on the dependence of the natural frequency of free vibrations of the sensitive element string on its tension.

The sensing element consists of a stretched string (thin steel wire) and an electromagnetic head with a coil. The string is set in oscillatory motion with the help of an oscillation exciter, the functions of which are performed by an electromagnetic head.

The vibration exciter transforms the energy of the electrical impulse of the request coming from the PSD-S-01 into the energy of the string vibrations. An electromagnetic head with a coil is used both for supplying an exciting pulse and for receiving damped free vibrations generated by the string (the request impulse and the natural frequency of free vibrations of the string are transmitted along the same line to PSD-S-01).

Let's consider the principle of operation of the sensitive element.

Figure 3 shows a string of length l, fixed with a preliminary tensile force F, in the first approximation constant (Fig. 3a). Assuming that the vibrations of the string occur in the XOY plane, consider a fragment of a string with mass dm (Fig. 3b).

Figure 3 - Diagram of the movement of the string

The projection of tension on the OY axis at point x will be

and at the point x + dx

Since at small amplitudes and are small, we can take:

According to the d'Alembert principle, to find the equation of motion, it is necessary to equate this force to the inertial force of a string fragment:

Taking into account the fact that dm = (m / l) dx, where m is the mass of the string, and denoting Fl / m = a2, we obtain the equation of plane transverse vibrations of a stretched string:

Under the following conditions at the ends of the strings:

1) x = 0 and x = l, y = 0;

2) t = 0, y (x) = F (x, 0),

the solution of equation (1) is obtained in the form

where Cn and τn are constants, n is an integer.

The resulting equation characterizes the oscillatory motion with a period:

whence the oscillation frequency:

where σ is the stress in the string, σ = F / s, s is the cross-sectional area of the string; ρ is the density of the string material, ρ = m / sl.

For n = 1, the string vibrates with the formation of one half-wave, for n = 2 - two half-waves, etc.

These formulas are valid for the case of a thin long string, for which the transverse rigidity can be neglected for a negligible vibration amplitude. The refined frequency formula for a round short string at certain ratios of the string stiffness caused by the pretension and the intrinsic stiffness is:

, (4)

where r is the radius of the string, λ1 = 504; λ2 = 11.85 with σl2 / Er2 ≤ 106.5; λ1 = 594.5; λ2 = 11 at 106.5 ≤ σl2 / Er2 ≤ 555.8; λ1 = 928; λ2 = 10.4 with σl2 / Er2 ≥ 555.8.

The above formulas do not take into account the change in the string tension during vibrations. Figure 4 shows the form of the dependence of the force during vibrations. During the oscillation period T, the force ∆F passes through the maximum twice.

Figure 4 - Dependence of the string tension on the vibration amplitude over time.

If you specify the sinusoidal shape of the string bend, you can define the curve between the points x = 0 and x = l as y = y1sinπx / l, where y1 is the amplitude of the harmonic. The length of the arc described by this formula is equal to:

whence the relative elongation of the string during vibrations:

and the change in tension:

, (7)

From this it can be seen that the change in the string tension increases with an increase in its deviation in proportion to the square of this deviation and does not depend on the sign.

Let us estimate the frequency of vibrations of the string. It was found that the frequency of oscillations increases with an increase in the amplitude of oscillations, for our case:

. (8)

Relative frequency change:

, (9)

where σ = E / s is the stress in the string.

When a string is deformed, the stress in the string changes and, consequently, its resonant frequency. According to expression (3):

Then the change in frequency will be:

. (10)

The relative change in frequency ∆f / f = ∆σ / 2 σ,

whence the change in stress in the string ∆σ = 2∆f σ / f.

It follows from the obtained formulas that the smaller the length of the string, the density of the material of the string, and the prestress in the string during the first mode of vibration, the higher the sensitivity in measuring the mechanical stress.

The frequency of the variable electromotive force generated in the sensitive element by the vibrating string is an informative parameter of the output signal of the measuring module.

When a force is applied to the modulus, the string is stretched, which leads to a change in the period of natural free vibrations of the string. By changing the duration of the oscillation period of the string, the measured force is judged.

PSD-S-01 converts the period of natural free oscillations of the string of modules into a digital code, provides temporary storage of the received information and communication with a PC via the RS-485 standard interface.

The PSI-02 input signal is a force in the range from 0 to 15.0 MN, acting on 12 DS-03 measuring modules. The PSI-02 error is determined by the algebraic sum of the experimentally determined reduced errors of 12 force measuring channels (taking into account the sign of the error), divided by the number of channels (12) by the formula:

where are the maximum values of errors 1-12 of the measuring channels of the PSI-02 force.

The individual conversion function of the PSI-02 force measuring channel, kN, is determined by the formula:

where A; B; C; D; E - the coefficients of the individual conversion function, determined in accordance with the procedure for determining the coefficients of the individual conversion function and the reduced error of the measuring channel of the force under normal climatic conditions (hereinafter - NKU) plus (20 ± 5) ° С,,,,, respectively;

Frequency deviation, kHz, is determined by the formula:

, (13)

where Ti is the period of free oscillations at the i-th load, μs;

Tо - period of free oscillations without load at low voltage switchgear, μs;

ti - temperature during measurements, ° С;

tnku - temperature at low voltage switchgear, ° С;

k is the coefficient of the function of temperature influence on the value of the output signal of the module for the temperature ranges from tnu to plus 60 ° C and from minus 10 ° C to tnu, determined in accordance with the procedure for determining the coefficients of the individual transformation function and the reduced error of the measuring channel of the force.

Reviewers:

Gromkov Nikolay Valentinovich, Doctor of Technical Sciences, Professor of Penza State University, Penza.

Trofimov Aleksey Anatolyevich, Doctor of Technical Sciences, Associate Professor, Deputy Head of the Scientific Research Center-37 of the Scientific Research Institute for Physical Measurements, Penza.

Bibliographic reference

Koryashkin A.S., Matveev A.I. MEASURING THE TENSION FORCE OF REINFORCED BEAMS IN THE PROTECTIVE SHELL OF THE NPP POWER UNIT // Modern problems of science and education. - 2013. - No. 2 .;
URL: http://science-education.ru/ru/article/view?id=9133 (date of access: 02/01/2020). We bring to your attention the journals published by the "Academy of Natural Sciences"

In § 7.1 Experiments were considered, indicating the tendency of the liquid surface to contract. This contraction is caused by surface tension.

The force that acts along the surface of the liquid perpendicular to the line delimiting this surface, and tends to reduce it to a minimum, is called the surface tension force.

Measurement of surface tension force

To measure the force of surface tension, let's do the following experiment. Take a rectangular wire frame, one side of which AB the length l can move with low friction in the vertical plane. Having immersed the frame in a vessel with soapy water, we get a soap film on it (Fig. 7.11, a). As soon as we pull the frame out of the soapy water, the wire AB will immediately start moving. The soapy film will shrink its surface. Therefore, on the procrastination AB a force acts perpendicular to the wire towards the film. This is the surface tension force.

To prevent the wire from moving, you need to apply some force to it. To create this force, you can attach a soft spring attached to the base of the tripod to the wire (see Fig. 7.11, o). The elastic force of the spring together with the force of gravity acting on the wire will add up to the resulting force For the equilibrium of the wire, it is necessary that the equality
, where is the surface tension force acting on the wire from the side of one of the film surfaces (Figure 7.11, b).

From here
.

What does the surface tension force depend on?

If you move the wire down a distance h, then an external force F 1 = 2 F will do the job

(7.4.1)

According to the law of conservation of energy, this work is equal to the change in energy (in this case of the surface) film. The initial surface energy of a soap film with an area S 1 is equal to U P 1 = = 2σS 1 , since the film has two surfaces of the same area. Final surface energy

where S 2 - the area of the film after moving the wire over a distance h... Hence,

(7.4.2)

Equating the right-hand sides of expressions (7.4.1) and (7.4.2), we get:

Hence, the surface tension force acting on the boundary of the surface layer with a length l, is equal to:

(7.4.3)

The surface tension force is directed tangentially to the surface perpendicular to the boundary of the surface layer (perpendicular to the wire AB in this case, see fig. 7.11, a).

Measurement of the surface tension coefficient

There are many ways to measure the surface tension of liquids. For example, the surface tension a can be determined using the setup shown in Figure 7.11. We will consider another method that does not claim to be more accurate in the measurement result.

We attach to the sensitive dynamometer a copper wire bent as shown in Figure 7.12, a. We put a vessel with water under the wire so that the wire touches the surface of the water (Fig. 7.12, b) and "stuck" to her. We will now slowly lower the vessel with water (or, which is the same, raise the dynamometer with a wire). We will see that together with the wire, the water film enveloping it rises, and the dynamometer reading gradually increases. It reaches its maximum value at the moment of rupture of the water film and the "separation" of the wire from the water. If we subtract its weight from the readings of the dynamometer at the moment when the wire is torn off, then we get the force F, equal to twice the surface tension (the water film has two surfaces):

where l - the length of the wire.

With a wire length of 1 = 5 cm and a temperature of 20 ° C, the force turns out to be equal to 7.3 · 10 -3 N. Then

The results of measuring the surface tension of some liquids are shown in Table 4.

Table 4

Table 4 shows that volatile liquids (ether, alcohol) have less surface tension than non-volatile liquids, for example, mercury. There is very little surface tension in liquid hydrogen and especially in liquid helium. In contrast, liquid metals have very high surface tension.

The difference in the surface tension of liquids is explained by the difference in the forces of intermolecular interaction.

Construction Materials. GOST 22362-77: Reinforced concrete structures. Methods for measuring the tensile force of reinforcement. OKS: Building materials and construction, Building structures. GOSTs. Reinforced concrete structures. Force measurement methods .... class = text>

GOST 22362-77

Reinforced concrete structures. Methods for measuring the tensile force of reinforcement

GOST 22362-77
Group W39

STATE STANDARD OF THE UNION OF SSR

REINFORCED CONCRETE STRUCTURES
Methods for measuring the tensile force of reinforcement
Reinforced concrete structurs. Methode for
determination of reinforcement tencioning tendon

Date of introduction 1977-07-01

APPROVED by the Resolution of the State Committee of the Council of Ministers of the USSR for Construction Affairs of February 1, 1977 N 4
REPUBLICATION. January 1988

This standard applies to reinforced concrete prestressed structures made with tension of the reinforcement by mechanical, electrothermal, electrothermomechanical methods, and establishes the following methods for measuring the tensile force of reinforcement:
gravitational measurement method;
measurement method according to dynamometer readings;
method of measurement according to the readings of a manometer;
method of measurement by the value of reinforcement elongation;
measurement by the transverse guy method of reinforcement;
frequency measurement method.

1. General Provisions

1.1. The application of the method for measuring the tensile force of reinforcement is established in working drawings, standards or technical conditions for prestressed reinforced concrete structures.

1.2. Measurement of the tensile force of the reinforcement is carried out during its tension or after the completion of tension.

1.3. To measure the tensile force of the reinforcement, devices are used - PRDU, IPN-7, PIN, which have passed state tests and are recommended for mass production.
The diagrams and technical characteristics of the devices are given in Appendix 1. It is allowed to use other devices that meet the requirements of this standard.

1.4. Devices used to measure the tensile force of the reinforcement must be verified in accordance with GOST 8.002-86 and have calibration characteristics made in the form of tables or graphs.

1.5. Before use, the device must be checked for compliance with the requirements of the instructions for its use. The order of measurements must be in accordance with the order provided by this instruction.

1.6. The results of measuring the tensile force of the reinforcement should be recorded in a journal, the form of which is given in Appendix 2.

2. Gravitational method of measuring the tensile force of reinforcement

2.1. The gravitational method is based on establishing the relationship between the tensile force of the reinforcement and the mass of the weights that tension it.

2.2. The gravitational method is used in cases where the tension is carried out by loads directly through a system of levers or pulleys.

2.3. To measure the tensile force of the reinforcement, the mass of the weights is measured, by which the tensile force of the reinforcement is determined, taking into account the system of transfer of force from the weights to the tensioned reinforcement, friction losses and other losses, if any. Losses in the system of transferring the tension force from the weights to the reinforcement are taken into account by a dynamometer when calibrating the system.

2.4. The mass of loads should be measured with an error of up to 2.5%.

3. Measurement of the tensile force of the reinforcement according to the dynamometer readings

3.1. The method of measuring the tensile force of reinforcement according to the dynamometer readings is based on the relationship between the tensile force and the deformations of the dynamometer.

3.2. The dynamometer is included in the power circuit of the reinforcement between the end stops or outside them in such a way that the tensile force of the reinforcement is perceived by the dynamometer.

3.3. The tensile force of the reinforcement is determined by the calibration characteristic of the dynamometer.

3.4. When the dynamometer is connected to a chain of several parallel reinforcing elements, the total tensile force is measured. The magnitude of the tensile force in each element can be determined by one of the methods specified in Sec. 5, 6 and 7 of this standard.

3.5. To measure the tensile force of the reinforcement, exemplary dynamometers are used in accordance with GOST 9500-84. It is allowed to use other dynamometers with an accuracy class of at least 2.5.

3.6. The values of the readings obtained should be within 30 - 100% of the dynamometer scale.

4. Measurement of the tensile force of the reinforcement according to the readings of the pressure gauge

4.1. The method of measuring the tensile force according to the readings of the pressure gauge is based on the relationship between the pressure in the cylinder of the jack, measured by the pressure gauge, and the tensile force of the reinforcement.

4.2. Measurement of the tensile force of the reinforcement according to the readings of the pressure gauge is used when tensioning it with hydraulic jacks. Determination of the metrological characteristics of hydraulic jacks is carried out in accordance with GOST 8.136-74.

4.3. Determination of the tensile force of the reinforcement according to the readings of the pressure gauge is carried out directly in the tensioning process and is completed when the force is transferred from the jack to the stops of the mold or stand.

4.4. With the group tension of the reinforcement, the total force is determined. The magnitude of the tensile force of each element is determined by one of the methods specified in Sec. 5, 6 and 7 of this standard.

4.5. To measure the tensile force of the reinforcement, use exemplary pressure gauges in accordance with GOST 8625-77 with hydraulic jacks.

4.6. The accuracy class of pressure gauges, determined in accordance with GOST 8.401-80, must be at least 1.5.

4.7. When measuring the tensile force according to the readings of the manometer, the values of the obtained values should be within 30-90% of the manometer scale.

4.8. When tensioning the armature with hydraulic jacks, the same pressure gauges are installed in the hydraulic system with which the calibration was carried out.

5. Measurement of the tensile force of the reinforcement by the magnitude of its elongation

5.1. The method of measuring the tensile force by the magnitude of the elongation of the prestressing reinforcement is based on the dependence of the elongation of the reinforcement on the magnitude of the stresses, which, taking into account the cross-sectional area of the reinforcement, determines the tensile force.

5.2. The method of measuring the tensile force of reinforcement by the value of its elongation, due to its relatively low accuracy, is not applied independently, but in combination with other methods given in Sections 3, 4, 6 and 7 of this standard.
The relatively low accuracy of this method is due to the variability of the elastoplastic properties of reinforcing steel, as well as the deformability of shapes and stops.

5.3. To measure the tensile force by the magnitude of elongation, it is necessary to determine the value of the true elongation of the reinforcing element under tension and have a diagram of "stress-elongation" of the reinforcement.

5.4. The calculation of the elongation of reinforcing steel in the absence of a stress-elongation diagram is allowed to be performed according to the formula given in Appendix 3.

5.5. In the electrothermal method of tensioning with heating outside the mold, the length of the reinforcing element is assigned in advance, taking into account the elastoplastic properties of steel, the length of the mold, stress losses due to deformation of the molds, displacement and collapse of the reinforcement stops, and is systematically monitored. These losses are established at the start of production and are checked periodically.

5.6. The method of measuring the tensile force by elongation of the reinforcement is used in combination with the methods of measuring the tensile force according to the readings of a manometer or dynamometer. In this case, the moment of the beginning of the displacement of the arrow of the manometer or dynamometer is recorded and after that the elongation of the reinforcement is measured.

5.7. To measure the length of a reinforcement, shape or stand and elongations during tension of the reinforcement, the following are used:
metal measuring rulers in accordance with GOST 427-75;
metal measuring tape in accordance with GOST 7502-80;
calipers in accordance with GOST 166-80.

5.8. The tensile force of the reinforcement in terms of its elongation is determined as the product of its cross-sectional area by the amount of stress. In this case, the cross-sectional area of the reinforcement taken from the batch is determined in accordance with clause 2.3 of GOST 12004-81.

5.9. The magnitude of the stresses is determined from the tensile diagram of the reinforcement taken from the same batch. The diagram is constructed in accordance with clause 8 of GOST 12004-81.

5.10. The elongation of the reinforcement is measured with instruments installed directly on the reinforcement; dial indicators in accordance with GOST 577-68; lever strain gauges in accordance with GOST 18957-73 or the measuring instruments specified in clause 5.7 for the risks applied to the reinforcement.

5.11. In the case of electrothermal tension of reinforcement with heating outside the mold, the magnitude of the elongations causing the stress of the reinforcement is determined as the difference between the total elongations and the collapse losses of the anchors and the deformation of the shape.

5.12. The total elongation of the reinforcement is determined as the difference between the distances between the stops of the force form or the stand and the length of the reinforcement blank between the anchors, measured at the same temperature.

5.13. The value of "collapse of the anchors" is determined according to the test data of the anchors in accordance with clause 3.9 of GOST 10922-75.

5.14. The deformations of the shape at the level of the stops are determined as the difference between the distances between them before and after tensioning the reinforcement with the tool specified in clause 5.7.

5.15. The measurement of the tensile force by the magnitude of the elongation can be carried out during the tensioning process and after its completion.

6. Measurement of the tensile force of the reinforcement by the transverse guy method

6.1. The method is based on establishing the relationship between the force pulling the reinforcement by a given amount in the transverse direction and the tensile force of the reinforcement.

6.2. The transverse retract of the reinforcement can be carried out on the full length of the reinforcement tensioned between the mold stops (brace on the base of the mold), and on the basis of the stops of the device itself (devices with their own base).

6.3. When pulling reinforcement on the base of the form, the device rests against the form, which is a link in the measurement chain. With a guy on the base of the device, the device contacts the reinforcement at three points, but is not in contact with the mold.

6.4. When measuring the tensile force of the reinforcement by the transverse guy method, the reinforcement should not have residual deformations.

6.5. When measuring the tensile force of the reinforcement by the guy method, mechanical devices of the PRDU type or electromechanical devices of the PIN type are used.

6.6. The devices used must have an accuracy class of at least 1.5; the scale division should not exceed 1% of the upper limit value of the controlled tension.

6.7. The error of the calibration characteristic should not exceed ± 4%.
An example of the estimation of the error in determining the calibration characteristic is given in the reference annex 4.

6.8. The installation site of electromechanical devices must be at least 5 m away from sources of electrical noise.

6.9. The ratio of reinforcement deflection to its length should not exceed:
1: 150 - for wire, rod and rope fittings up to 12 mm in diameter;
1: 300 - for rod and rope fittings with a diameter of more than 12 mm.

6.10. When measuring the tensile force of the reinforcement, the device with its own base is installed on the reinforcement anywhere along its length. In this case, the joints of the reinforcement should not be within the base of the device.

6.11. When measuring the tensile force of the reinforcement with devices without their own base (with a brace based on the form), the devices are installed in the middle of the span between the stops (drawing). The displacement of the installation site of the devices from the middle of the span should not exceed 2% of the armature length.

Instrument installation diagram for measuring the tensile force of reinforcement

Form; - PIN device; - IPN-7 device;
- fittings; - stops; - PRDU device

7. Frequency method for measuring the tensile force of reinforcement

7.1. The frequency method is based on the relationship between the stress in the reinforcement and the frequency of its natural transverse vibrations, which are established in the tensioned reinforcement after a certain time after it has been brought out of equilibrium by a blow or some other impulse.

7.2. To measure the tensile force of the reinforcement using the frequency method, use the IPN-7 device (without its own base).

7.3. The IPN-7 device measures the number of vibrations of the tensioned reinforcement for a certain time, according to which the tensile force is determined, taking into account the calibration characteristics for a given class, diameter and length of the reinforcement.

7.4. The instruments used must ensure the measurement of the natural vibration frequency of the reinforcement with an error not exceeding ± 1.5%.

7.5. The relative error in determining the tensile force of the reinforcement should not exceed ± 4%.

7.6. The place of installation of frequency devices should be at least 5 m from the source of electrical noise.

7.7. The primary measuring transducer, when measuring the tensile force of the reinforcement with devices without its own base, should be located on the section of the reinforcement, spaced from the middle of its length at a distance not exceeding 2%.
During vibration, the monitored reinforcement along its entire length should not come into contact with adjacent reinforcing elements, embedded parts and form.

8. Determination of the calibration characteristics of devices

8.1. Determination of the calibration characteristics of devices is carried out by comparing the readings of the device with a given force, recorded according to the readings of a dynamometer with an accuracy class of at least 1.0, installed in series with the tensioned reinforcement.
Determination of the calibration characteristics of manometers is allowed to be carried out without fittings by comparing the readings of the manometer and an exemplary dynamometer installed in series with a hydraulic jack.

8.2. When calibrating partings, the maximum tensile force of the reinforcement must exceed the nominal design tensile force of the reinforcement by the amount of the permissible positive deviation. The minimum force shall not exceed 50% of the nominal design value.
The number of loading stages should be at least 8, and the number of measurements at each stage should be at least 3.

8.3. At the maximum tensile force of the reinforcement, the reading of the exemplary dynamometer should be at least 50% of its scale.

8.4. Determination of the calibration characteristics of the instruments used to measure the tensile force of the reinforcement by the transverse guy method and the frequency method.

8.4.1. Determination of the calibration characteristics of devices should be carried out for each class and the dynamometer of the reinforcement, and for devices without their own base - for each class, diameter and length of the reinforcement.

8.4.2. The length of the reinforcement elements, in which the tensile force is measured by devices with their own base, must exceed the length of the base of the device at least 1.5 times.

8.4.3. When measuring the tensile force of reinforcement with devices without their own base:
the length of the reinforcing elements during calibration should not differ from the length of the controlled elements by more than 2%;
the deviation of the location of the device or the sensor of the device from the middle of the armature length should not exceed 2% of the armature length for mechanical devices and 5% for frequency-type devices.

8.5. An example of constructing the calibration characteristics of the PRDU device is given in reference Appendix 4.

9. Determination and assessment of the tensile force of the reinforcement

9.1. The tensile force of the reinforcement is determined as the arithmetic mean of the measurement results. In this case, the number of measurements must be at least 2.

9.2. The tensile force of the reinforcement is evaluated by comparing the values of the tensile forces of the reinforcement obtained during measurement with the tensile force specified in the standard or working drawings for reinforced concrete structures; in this case, the deviation of the measurement results should not exceed the permissible deviations.

9.3. The evaluation of the results of determining the tensile force of the reinforcement by its elongation is carried out by comparing the actual elongation with the elongation determined by the calculation.
The actual elongation should not differ from the calculated values by more than 20%.
An example of calculating the elongation of reinforcing steel is given in Appendix 3.

10. Safety requirements

10.1. Persons trained in safety rules, who have studied the device design and the technology for measuring the tensile force are allowed to measure the tensile force of the reinforcement.

10.2. Measures must be developed and strictly implemented to ensure compliance with safety requirements in the event of valve breakage when measuring the tensile force.

10.3. Persons who are not involved in measuring the tensile force of the reinforcement should not be in the area of the tensioned reinforcement.

10.4. For persons participating in the measurement of the tensile force of the reinforcement, reliable protection must be provided with shields, nets or specially equipped portable cabins, removable inventory clamps and canopies that protect against the release of grabs and broken reinforcement rods.

Appendix 1 (reference). Schemes and technical characteristics of devices PRDU, IPN-7 and PIN

Annex 1
Reference

PRDU device

The action of the PRDU device when measuring the tensile force of rod reinforcement and ropes is based on an elastic brace of the reinforcing element in the middle of the span between the stops, and when measuring the tension force of the wire - on its brace at the base of the thrust frame of the device. The deformation of the device spring is measured with a dial indicator in accordance with GOST 577-68, which is the reading of the device.

Transverse to the axis of the reinforcement, a constant movement of the system is created from two successively connected links: a tensioned reinforcing element and a spring of the device.
With an increase in the force of the tensioned reinforcement, the resistance to the transverse guy increases and its movement decreases, and therefore the deformation of the device spring increases, i.e. readings of the indicator of the device.
The calibration characteristic of the device depends on the diameter and length of the reinforcement when working on the base of the mold and only on the diameter when working on the base of the stop frame.
The PRDU device consists of a body, a hinge with a guide tube, a lead screw with a dial and a handle, a spring with a spherical nut, a tension hook, an indicator, a stop or a stop frame (Fig. 1 of this appendix).

PRDU device diagram

Emphasis; - spring; - indicator; - frame; - hinge;

Limb with a handle; - own base; - hook
Damn 1

When measuring the tensile force of rod reinforcement and ropes, the device is installed with an emphasis on a stand, pallet or mold. The gripper hook is brought under the rod or rope, and by rotating the lead screw by its handle, contact with the rod or rope is ensured. By further rotation of the lead screw, a preliminary retraction of the reinforcement is created, the value of which is fixed by an indicator.
At the end of the preliminary brace, according to the risk, the position of the limb rigidly connected to the lead screw is marked on the body (the side surface of the limb is divided into 100 parts), and then the rotation of the lead screw is continued for several revolutions.
After completion of the selected number of revolutions, the indicator readings are recorded. The tensile force of the reinforcement is determined by the calibration characteristic of the device.
When measuring the tensile force of a reinforcing wire with a diameter of 5 mm or less, the stop is replaced with a stop frame with a base of 600 mm, and the gripping hook is replaced with a small hook. The wire tension force is determined by the calibration characteristic of the device with the frame installed.
If it is impossible to place the stop of the device in the plane between the walls of the molds (ribbed plates, cover plates, etc.), it can be replaced by a support sheet with a hole for the passage of the rod with a hook.

IPN-7 device

The device consists of a low-frequency frequency meter with an amplifier, located in the housing, a meter and a primary measuring transducer connected by a wire to the amplifier (Fig. 2 of this appendix).

IPN-7 device schematic

Instrument body; - counter; - the wire;
- primary converter
Damn 2

The principle of operation of the device is based on determining the frequency of natural vibrations of the tensioned reinforcement, which depends on the voltage and its length.
The vibrations of the reinforcement are caused by a transverse impact or other means. The primary measuring transducer of the device perceives mechanical vibrations, converts them into electrical vibrations, the frequency of which, after amplification, is counted by the electromechanical counter of the device. By the frequency of natural vibrations, using the calibration characteristic, the tensile force of the reinforcement of the corresponding diameters, classes and lengths is determined.

PIN device

The device consists of a frame with stops, an eccentric with a lever device, an adjusting nut, an elastic element with strain gauges, a hook and electrical circuit elements located in a separate compartment, which contain an amplifier and a calculating device (Fig. 3 of this appendix).
The device measures the force required to laterally displace the tensioned reinforcement by a predetermined amount.
The specified lateral displacement of the reinforcement relative to the stops attached to the device frame is created by moving the eccentric handle to the left position. In this case, the lever moves the screw of the adjusting nut by an amount depending on the eccentricity of the eccentric. The force required for displacement depends on the tensile force of the reinforcement and is measured by the deformations of the elastic element.
The device is calibrated for each class and diameter of the reinforcement. Its readings do not depend on the length of the tensioned reinforcement.

PIN device diagram

Stops; - frame; - eccentric; - adjusting
screw; - elastic element with wire strain gauges
(located under the casing); - hook; - box with elements
electrical circuit

Main technical characteristics of devices

	Tension force, tf	Rebar diameter, mm		Rebar length, m		Length of own base of the device, mm	Weight device, kg

IPN-7		3 9 12 -	8 10 16 18	5,0 4,0 3,5 3,0	12 12 11 8	Without your own base
					No limits
		6 9 12 - 20 - -	8 10 16 18 22 25 28	2,0 2,5 2,8 3,0 4,5 6,0 8,0	4 12 14 18 24 24 24	Without your own base
					No limits

Appendix 2 (recommended). Log of the results of measurements of the tensile force of the reinforcement

(Left side of the table)

date measure	A type from	Valve data					Instrument data
		Quantity in arma- tour elements	Class ar- matura, brand become	Dia- meter, mm	Length, mm	Design tension force zheniya (but- final and admission)	Type and room	Multi- body scales	Exodus- nye bye- initiators

Continued (Right side of the table)

Scale indications				Power tension	Deviation from design values	Example- desire
			Average by	fittings,
measure nie	measure nie	measure nie	3 dimensions with considering multiplier scales

Appendix 3 (reference). Reinforcing steel elongation calculation

Appendix 3
Reference

The calculation of the elongation of reinforcing steel with a ratio of the value of its prestress to the average value of the conditional yield stress of more than 0.7 is carried out according to the formula

With a ratio of and less than or equal to 0.7, the elongation is calculated according to the formula

where is the pre-stress of reinforcing steel, kgf / cm;

- the average value of the conventional yield strength of reinforcing steel, determined from experience or taken equal to 1.05 kgf / cm;
- the rejection value of the conventional yield stress, determined according to table 5 GOST 5781-75, GOST 10884-81, table 2 GOST 13840-68, GOST 8480-63, kgf / cm;
- modulus of elasticity of reinforcing steel, determined according to table 29 of SNiP P-21-75, kgf / cm;
- initial length of reinforcement, see
Example 1.
Estimated length of reinforcing steel of class A-IV at = 5500 kgf / cm = 1250 cm, tension - mechanically

m way.

1. According to table 5 GOST 5781-75 determine the rejection value of the conventional yield stress = 6000 kgf / cm; according to table 29 of SNiP P-21-75 determine the modulus of elasticity of reinforcing steel = 2 10 kgf / cm.

2. Determine the value

3. Calculate the ratio, therefore, the elongation of reinforcing steel is determined by the formula (1)

Example 2.
Calculation of elongations of high-strength reinforcing wire of class Вр · П at = 9000 kgf / cm and = 4200 cm, tension - mechanically

1. According to the results of control tests, determine the average value of the conventional yield stress = 13400 kgf / cm; according to table 29 SNiP 11-21-75 determine the modulus of elasticity of reinforcing steel VR-P. = 2 10 kgf / cm.

2. Calculate the ratio, therefore, the elongation of the reinforcing steel is determined by the formula (2).

Appendix 4 (reference). An example of evaluating the relative error in determining the calibration characteristic of the device

Appendix 4
Reference

It is necessary to establish the relative error in determining the calibration characteristics of the PRDU device for class A-IV fittings with a diameter of 25 mm, a length of 12.66 m at a maximum tensile force = 27 tf, specified in the working drawings.

1. At each stage of loading, the tensile force of the reinforcement corresponding to the readings of the device is determined.

at these loading steps. So at the first stage of loading

15 tf, = 15.190 tf, = 14.905 tf, = 295 divisions, = 292 division.
2. Determine the range of indications in tf

For the first stage of loading, it is:

3. Determine the relative range of indications in percent

For the first stage of loading, it will be:

which does not exceed.

4. An example of calculating the maximum and minimum force during calibration:

Tc;
tf.

The size of the loading steps should be no more than

Take the value of the loading step (except for the last step) equal to 2 tf. The value of the last loading step is taken as 1 tf.
At each stage, 3 readings () are taken, from which the arithmetic mean value is determined. The obtained values of the calibration characteristic are given in the form of a table and a graph (drawing of this annex).

		Instrument readings in divisions