How To Measure Axial Thrust Using a Load Cell


The process of measuring an axial thrust load by using a load cell requires a clear understanding of axial thrust load and the operation of a load cell. This depth of understanding affects the choice of measuring technique and type of load cell.

This article provides a foundation for this understanding by explaining both axial thrust and load cell operation. It focuses on the specific example of a centrifugal pump.

Axial Thrust Definition

The term axial thrust is made up of two-component words: “axial” and “thrust”. By examining the meaning of each word individually, its compound meaning becomes apparent. the two words.

“Axial” is an adjective that describes something relating to the axis of an object. In this case, the axis of the object is an imaginary line usually parallel to the vector of force (such as gravity) applied on the object when it is resting in a stable position. If the object is not irregularly shaped, it is generally symmetrical at any cross section that is tangent to the axis.

Thrust is a noun that describes the action of pushing/propelling an object against a platform in a specified direction. It is the vector of force in the above definition.

Figure 1. An illustration of axial thrust

Putting the two meanings together, axial thrust refers to a propelling force applied along the axis (also called axial direction) of an object in order to push the object against a platform in a particular direction. The direction can be negative (tensile) away from the platform, or positive (compressive) toward the platform depending on the point of reference.

Axial thrust can also refer to the driving force generated in propulsion of an airplane, a pogo stick, steam turbines, stage pumps, or double suction impellers.

For a closer look at axial thrust, the next sections will examine the specific example of a centrifugal pump. We choose this example since it requires a load cell to balance axial thrust.

Axial Thrust Example: Centrifugal Pump

A centrifugal pump is a machine that converts rotational kinetic energy (of a rotor) to hydrodynamic energy for the purpose of transporting fluids from one place to another. It generates centrifugal forces to push out the fluids entering it.

The term suction side refers to the inlet side of the machine through which fluid particles enter. The term discharge side refers to the outlet side through which the fluid particles escape. The pressure at the discharge side is greater than the pressure at the suction side.


Centrifugal pumps have two major components other than the driving unit (e.g. an electric motor).

These are:

  1. The impeller: This is made of backward curved vanes or blades. The impeller is a rotating part of the centrifugal pump that connects to the driving unit with a shaft. The rotating impeller vanes push the fluid particles towards the outlet. There are different types of impellers: the open impeller, semi-open impeller and shrouded impeller.
  2. The volute casing: This is a specially designed spiral casing whose cross-sectional area increases along the direction of fluid flow. This design helps to force fluid out the discharge side.

The casing protects the pump and houses balancing holes. The balancing holes are points where balancing weights are fixed to ensure that the center of mass of the pump’s parts aligns with the center of mass of the driving unit’s rotor (motor’s rotor shaft).

The other parts of the centrifugal pumps are:

  • The shaft that connects the impeller to the driving unit.
  • The bearings located on the shaft that help maintain radial and axial thrust load clearance. A double suction impeller has bearings on both sides (front and back).
  • The sealing which prevents dirt and fluids from entering the parts of the pump.

How Axial Thrust Builds In Centrifugal Pumps

In single stage pumps, as the device powers on and the shaft begins to rotate, two sets of forces act on the shaft (refer to Figure 1). The first are radial forces created by unbalanced pressure due to the casing design (recall it widens along the fluid path). The second are the axial forces, caused in part by the pressure difference between the shaft where it directly attaches to the back side of the impeller and the front side of the impeller.

As the fluid moves to the discharge side of the pump, parts of the liquid tend to push against the casing thereby pushing the shaft outwards along its axis through the driving unit. This force acting along the shaft’s axis also contributes to the axial thrust.

Figure 2. Axial force in a centrifugal pump

Other axial forces on the shaft occur with use. Over time, fluids carry dirt particles that deposit on the blades, causing an unbalance in the system. This generates axial thrust components on the shaft and the motor.

In multistage pumps axial thrust on the shaft is more common. The difference in pressure between multiple impellers further contributes to a misalignment in the total axial balance.

Balancing Axial Thrust

The process of balancing axial thrust is very important to the pump’s proper functioning. A force offsetting the axial thrust accomplishes this.

Some offset techniques include:

  • The use of thrust bearings to support high axial loads especially in heavy-duty centrifugal pumps.
  • The use of a balance piston. An opening beneath this balance piston ensures the fluid flows back towards the pump inlet. Without this opening, axial thrust on the shaft will increase from the fluid flow exerting pressure on the piston.
  • Proper alignment and arrangement of the impellers.

This balancing reduces stress and damage to the pump structure. Specifically it reduces stress exerted on shaft bearings (wearing rings, loose rings, and thrust bearings) and prevents damage to the pump’s protective seal.

The Role of Load Cells In Balancing Axial Thrust

As highlighted in the example, balancing axial loads is important for the proper maintenance of equipment that bears these forces. But how does one evaluate the extent of the axial load, particularly since it builds over time and use? This is where load cells, such as those in the Tacuna Systems product line, are important.

What Are Load Cells?

Load cells are sensor devices. Sensors are used to detect a physical stimulus or phenomenon and then produce an output (electrical or mechanical) that is proportional to that stimulus. Load cells detect loads and forces, such as axial thrust. Load cell types include pneumatic, hydraulic, strain gauge and capacitive. The strain gauge is most commonly used due to its advantages.

In modern control systems, especially those that require measuring thrust, the most efficient sensor is an electrical transducer. A transducer converts the detected physical stimulus to a proportional electrical output signal. An electrical output signal can be part of any load cell design. However a strain gauge transducer is the most convenient and cost-effective. It is a passive transducer. Figure 3 below shows a simple strain gauge load cell.

AnyLoad 563YH Alloy Steel Single Ended Beam Load Cell

Figure 3. A certified single ended beam strain gauge load cell

How Load Cells Work

Load cells have a general principle of operation. Each type has a platform for application of the load (force/weight) to be quantified. The applied force transmits through a medium which then produces an output signal. Pneumatic and hydraulic load cells use fluids (air or liquid respectively) as the medium. Strain gauge load cells use thin wires bonded to a non conductive material as a medium.

Strain gauge load cells offer the best set of features for measuring a thrust. The strain gauge is the passive element of the device. When a force is applied to the loading point of the load cell, these strain gauges mounted to it deflect. This increases the overall electrical resistance across the gauges. Under compression, the wires become shortened and thicker, such that there is less resistance than its balanced control. Under tension, the wires become longer and thinner, increasing the resistance from its baseline state. This measured difference in resistance creates an electrical signal directly proportional to the force applied by the load. This signal is generally very small, on the order of millivolts, and must be amplified for proper readings.

For more information on how load cells operate, see the article An Overview of Load Cells.

Design Requirements of a Simple Axial Thrust Measuring System

The sections above establish how axial loads are produced and that they must be mitigated. This section brings these two ideas together by explaining how to quantify axial thrust.

The steps to create an axial force measurement system are:

  1. Determine The Maximum Force: It is essential to determine the limits of the force that the propeller or the engine will generate. This is done mathematically using the constants and variables of the engine. This step is necessary in selecting a load cell with a rated output capacity equal to or greater than the expected maximum force.
  2. Determine The Direction Of The Force: Thrust is a reaction force that acts in the opposite direction of the original force generated in an engine. Therefore both compression and tensile forces act on the spinning shaft. The selected load cell must support both directions of forces.
  3. Select The Load Cell: Each load cell manufacturer produces a datasheet giving maximum rated loads and other figures pertinent to its operating environment. Select the load cell that suits the basic requirements determined in steps 1 and 2, meets the requirements of the operating environment and has the required certifications. Certifications ensure the load cell device has been tested and approved for safe use.
  4. Construct a Thrust Stand/Frame: The load cell will always require a mounting kit and this can be purchased with the device. A proper mounting kit ensures an accurate result. This mounting kit is then built into a thrust frame. This frame must adhere to the following:
    • It must be a fixed support frame with the mount on one end for the load cell.
    • It must have an alignment system to ensure the thrust axis of the engine is parallel to the direction of load cell’s force measurement trajectory, at the application point. This will prevent issues of off-axis loading. A simple alignment system might incorporate optical devices like lasers. For centrifugal pumps, alignments might be off at times due to unbalancing; this requires self-adjusting alignment systems in the frame/mount design.
  5. Condition the Output Signal: A strain gauge’s output, unconditioned, is usually very small (of the order of mV) and can be affected by noise. Conditioning filters this background noise, amplifies the filtered signal and converts it from an analog to digital signal. A microcontroller can further process the digital signal to display the thrust force and desired units of measurement.
  6. Calibrate the System: Calibration ensures the force measurement system gives accurate results, both at installation and periodically over continued use. A simple calibration system for this purpose might use a screw jack driven by an electric motor to apply both compressive and tensile forces to the load cell through a series of levers and pull rods. Further calibration procedures give the tare of the load cell and also set up automatic calibration over use. Our Tacuna Systems cell calibration system is an example.
  7. Mount and Test: The final step is to mount the engine in the measuring system. Perform all the necessary checks before powering on the system. Ensure this done in a controlled environment under proper supervision and approval.

Figure 4. A simple test thrust stand

Figure 5. A vertical and horizontal thrust test stand


This article has explained the idea of axial forces and their impact on the longevity of a rotary system such as a centrifugal pump. It has also explained the use of load cells to quantify these forces so that they can be mitigated. Tacuna Systems provides a variety of load cells for this application.