Torque Transducers & Torque Sensors | Static | Reaction | Rotary

DRBK Brushless Rotary Torque Sensor

Torque Transducers & Torque Sensors Explained

What is Torque?

Torque is a twisting or turning force about an axis, that can be applied in a clockwise or counter-clockwise direction.   A good example of this is a vehicle steering mechanism; to turn a corner the driver applies a force to the steering wheel which applies a torque directly to the steering column.  This torque is generated by a combination of the force from the driver’s hands and distance the hands are from the centre of the wheel.

Torque is a function of force and length (known as the moment or moment arm), this is shown below in our simple ‘seesaw’ diagram.  The seesaw is balanced even though the forces applied to each side are different, this is because the torque at the middle point is the same.  The calculations are as follows:

Left Side   = 100N force x 1 metre    = 100Nm of torque
Right Side = 300N force x 1/3 metre = 100Nm of torque

Torque Seesaw Diagram

The most common metric engineering units for torque is the Newton metre (Nm), whilst the most common imperial engineering units is foot pounds (

Torque Sensor Measurement Principle

The most common torque sensor measurement principle uses bonded strain gauge technology, where the strain gauges are bonded to a suitably designed shaft.  Torque transducers with a circular shaft and with strain gauges applied at 45deg is a design that has been around for many years.  However, the design and configuration of the device will be dictated by the application and the shaft may well be solid or hollow and the cross section might differ with either a cruciform, square or the other custom design, in order to gain the maximum signal output available from the measurement.

Diagram Showing Shear Stresses in a Torque Shaft

When torsion is applied to the shaft causing it to twist, shear stresses are induced.  These are measured by bonding the strain gauges at 45° to the horizontal torque axis.  As the shear stress induced in the shaft is the same throughout its length, the strain gauges can be bonded at any point along its length.  However, it is normal practice to place them in the centre, as far as possible from spurious stress that can be induced at the mechanical interfaces.

Diagram showing Strain Gauges Bonded to a Torque Shaft

Getting an Electrical Signal

Typically four strain gauges are bonded and connected into a Wheatstone bridge configuration with temperature compensation components included within the bridge circuitry.  With an excitation voltage applied to the bridge and torque induced into the shaft, an electrical output linearly proportionate to that torque will result.

For the strain gauged shaft to become a useful meauring instrument (torque sensor) it is necessary to calibrate it with a known reference standard.  This can be either weights applied to the end of a cantilever arm of known length, or in line with a reference standard torque transducer.

The completed Wheatstone Bridge requires a stable DC supply to excite the circuit.  This is usually 5Vdc or 10Vdc, but can be any value from 1Vdc up to 18Vdc.

Wheatstone Bridge Circuit Diagram

Torque Sensors and Torque Sensor Instrumentation

These low-level millivolt signals are compatible with a vast range of bespoke strain gauge sensors such as load cells and pressure transducers and their associated instrumentation.  These instruments include digital displays, analogue and digital amplifiers.  Typical analogue amplifiers will generate a higher level voltage (0-5Vdc, 0-10Vdc) or current (0-20mA, 4-20mA) for additional processing.

Typically digital amplifiers also provide RS232 or RS485 output using either industry standard or protocols specific to an industry such as MODbus.  In many cases the signal conditioning is built in to the device, giving a direct analogue or digital output for further processing.

One of the latest developments to be incorporated into torque sensors in radio telemetry operating in the 2.4GHz frequency band.  Operating with very low current consumption enables the use of small batteries on a power source.  This latest technology has led to the design of contact-less rotary torque transducers.

A further benefit of radio telemetry torque sensors is their low cost (up to 50%) compared with equivalent slip ring or brushless types.

Selection of an appropriate device will be based on the following amongst other factors, all of which will impact on the accuracy and cost of the measurement, these include:

  • Speed of rotation
  • The environment in which the measurement is taking place
  • The mechanical connection
  • Test duration
  • Information required of the measurement being taken

Static / Reaction Torque (less than 1 revolution) vs. Rotary Torque (greater than 1 revolution)

Torque measurements can be either Static (also known as Reaction) or Rotary.  A static or reaction torque measurement involves little or no rotation of the item being measured, such as during torque spanner testing.  A rotary torque measurement would, as the name suggests, be subject to continuous rotation.  This rotation could be constant, as you find in a system measuring the torque on a stirrer in a mixing vessel or periodical as you would find when measuring the torque produced by an electric screwdriver.

Dynamic Torque

A dynamic torque meanwhile is one that is subject to variation or change, for instance the torque on the motor drive shaft of an electric hover mower would be subject to dynamic torque, firstly as you turn on the power to make the blade spin up, and thereafter as you move the mower around your lawn between areas of varying grass density, or from cut to uncut grass.

When selecting a transducer to measure dynamic torque, it is important to ensure that Is has a sufficiently wide frequency response bandwidth so that the electrical output will react fast enough to capture the changes (peaks or troughs) as they occur, rather than smoothing or filtering them out.

Power & Signal Transmission in Rotary Torque Sensors

Slip Ring

The first rotating strain gauge torque transducer employed slip rings to make the electrical connections from the casing to the rotating shaft.  Because the slip rings are carrying only millivolt signals from the strain gauges, the materials for both the slip rings and the brushes must be vary carefully selected.  The normal procedure is to use coin silver for the slip rings and silver graphite for the brush gear.

The conductive rings rotate with the sensor and use a series of sprung brushes to contact the rings and transmit the electrical signal.  Slip rings are relatively straight forward with only minor drawbacks in that the brushes and to a lesser extent, the rings, do wear and as such have a finite life.  Because of this they don’t lend themselves to long-term tests, very high speed or to applications where access to the sensor for servicing is limited.

At low speed the electrical connection between the rings and brushes are relatively noise free, however at higher speeds electrical noise will eventually degrade their performance.  The maximum speed (rpm) for a slip ring is determined by the surface speed at the interface between the brush and ring.  As a result the maximum operating speed will be lower for larger, or higher torque capacity sensors because the larger slip rings will therefore have a higher surface speed at a given rpm.  Typical maximum rpm will be in the range of 5,000rpm for a medium capacity torque sensor.  For very low capacity measurements, the brush ring interface can be a source of ‘drag torque’ that can be a problem for the driving torque to overcome.

Rotary Transformer (Inductive Loop)

For higher speed (rpm) torque measurement applications the rotary transformer system might be used.  The rotary transformer system consists of two coils, one static coil that is attached to the transducer’s housing and one rotating coil that is attached to the transducer shaft.  This offers the distinct advantage of there being no contact between rotor and stator and incorporates both transmission of power to and signal back from the rotating strain gauge bridge circuit.  Rotary transformer type torque sensors offer typical inaccuracies of ±0.2% and are capable of speeds up to 50,000rpm.

The rotary transformer system is versatile enough for use in special torque transducers and those where space is limited.  However as this design incorporates bearings, the maximum rpm is more than the slip-ring design but limited by the maximum specified performance of the bearing.  The system can also be susceptible to noise and errors, which are induced by the alignment of the transformer primary-to-secondary coils.  Because of the special requirements imposed by the rotary transformers, specialized signal conditioning is also required in order to produce a signal acceptable for most data acquisition systems.

Wireless Radio Telemetry (Battery Powered, 2.4GHz)

Following the advent of modern low-power wireless telemetry acqusition and transmission electronics, it has become possible to manufacture battery powered torque sensors that offer a sufficiently long period of operation between charges to make them viable in a wide range of industrial and research applications.

The avoidance of rotor and stator coils means that installing wireless torque sensors is a simplified process over other types as there is no cabling provision or coil alignment to consider, it also means that the measurement signal can be transferred over considerable distances (up to 120m) easily.

The data stream provided by the wireless telemetry system is broadcasted and so can be read by multiple receiver units with different functions such as digital displays, analogue outputs and PC-based USB acquisition making multi-featured systems quick and easy to set up.

Mechanical Couplings

A coupling is a device used to connect two shafts together at their ends for the purpose of transmitting power and protecting the connected equipment from the damaging effects of misalignment, vibration and shock overload.  The primary purpose of couplings is to join two pieces of rotating equipment while permitting some degree of misalignment or end movement or both.  By careful selection, installation and maintenance of couplings, substantial savings can be made in reduced maintenance costs and downtime.

The torque transducer will accommodate only a small amount of misallingment, but idearly no misalignment should exist between input and output shafts.  Severe misaligment will lead to premature bearing failure due to the repeated stresses developed in the contact areas between the bearings and the raceway, even if the coupling is properly mounted and maintained.  In correctly aligned shafts, the bearings will be subjected to loads less than the established rated loads for the bearings in which case will result in extended bearing life.

Popular types used are disk (or plate) / bellows / diaphragm / elastomer / grid / gear and many other proprietary names given by different suppliers. The selection of a suitable coupling type is based on speed, torque rating, environment, access, degree of misalignment and the service life required.

Torque Coupling Arrangement Diagram


Torque Measurement Summary

To measure torque effectively it is important to understand the factors involved in the creation of the torque as well as those that may alter the torque measurement, as these will impact on the selection of an appropriate transducer.  Criteria such as nominal torque rating, speed, available space to mount the sensor, duration of measurement and the environment within which the measurement is taking place are amongst the most significant criteria that will dictate torque sensor selection.

When measuring dynamic torque, the location of the measurement is vital to ensure that the true torque is measured and false measurements are avoided, caused by either adjoining components in the drive train or those that dampen the torque measurement system, including the measurement system itself.

Usually the physical and environmental factors present will pinpoint the selection of appropriate equipment.  The selection of the correct transducer rating, transmission system and mechanical connection will ensure the measurement solution is no more expensive than it need be and maximum long-term accuracy and reliability will be achieved.

Case Studies

Incredible Miniature Reaction Torque Sensor Helps Create Ocean Energy

Mocean Energy Miniature Reaction Torque Sensor

The YDNS miniature reaction torque sensor's compact size and in-line direct drive measurement capability meant it could easily be housed within the waterproof enclosure of the 1/50th scale wave energy converter.

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