10.1.1 Exertion assessment

The mean maximum capacity displayed by Ergoniza Intelligent in the exertion table represents the population mean of the maximum joint moment that each functional muscle group can generate under the analysis conditions. This quantity corresponds to the Maximum Voluntary Contraction estimated by the model.

An exertion close to Maximum Voluntary Contraction can be maintained only for a very short time and leaves little margin relative to the estimated maximum capacity. It is therefore not recommended as a normal condition of a work activity. Maximum joint capacity also varies among individuals and is assumed to be distributed approximately normally around the population mean. Consequently, exertion assessment must consider both the mean capacity and the dispersion of that distribution.

Ergoniza Intelligent provides two procedures for assessing joint exertions. The first adapts the assessment to the worker's characteristics and the task conditions. Within this procedure, the indicator name and the moment used as the reference depend on the analysis mode and the enabled settings. The result may be displayed as Percentage of Recommended Joint Capacity, Percentage of Maximum Isometric Capacity Used, or Percentage of Maximum Recommended Exertion. The differences among these indicators are explained in the following sections.

The second procedure uses the distribution of joint capacities in the population and expresses the result as the Percentage of Protected Population.

10.1.1.1 Customized exertion assessment based on worker and task characteristics

This procedure compares the required moment at each joint with a customized reference moment. The calculation starts from an estimate of the individualized maximum isometric capacity common to both analysis modes, but the method used to obtain the reference moment depends on whether a single posture or a multiple-posture sequence is being analyzed.

First, using the biomechanical equations described in the previous section, Ergoniza Intelligent determines the mean maximum isometric capacity and the corresponding standard deviation for the active joint, posture, and muscle group. As discussed above, this calculation considers characteristics such as sex, age, and laterality or dominance.

From this population distribution, the body build defined under Model Settings is used to select a particular percentile and obtain the individualized maximum isometric capacity. Body-build values range from Very slight to Very robust: Very slight corresponds to the 5th percentile; Average, to the 50th percentile; and Very robust, to the 95th percentile.

The selected body build therefore modifies the maximum isometric capacity estimated for the worker, producing the individualized maximum isometric capacity. This individualized capacity is an estimate of the maximum moment-generating capacity and does not, by itself, constitute a recommended limit for performing a task.

In Single Posture mode, Ergoniza Intelligent determines the recommended Percentage of Maximum Voluntary Contraction (recommended %MVC) from the duration and repetitiveness of the exertion. This percentage indicates the fraction of the individualized maximum isometric capacity that is recommended under the task conditions. Its calculation procedure is explained in Section 10.2.

In this mode, the recommended %MVC is applied to the individualized maximum isometric capacity to obtain the Base Maximum Moment for each degree of freedom of each joint (z):

\[M_{base,z} = M_{isometric,\ max,z} \bullet \frac{{\% MVC}_{recommended,z}}{100}\]

Equation 6

For example, in Single Posture mode, if the individualized maximum isometric capacity is 100 N·m and, given the duration and repetitiveness of the task, no more than 15% MVC is recommended, the Base Maximum Moment will be 15 N·m. The Base Maximum Moment is expressed in N·m and constitutes the reference joint moment, already adjusted to the worker's body build and the temporal conditions of the analyzed action.

The criteria used to calculate the reference moment can be configured in the Biomechanical Analysis Settings dialog (Figure 41). This dialog is opened with the gear-shaped button at the bottom of the Exertion window. The Calculate max. recommended exertion (%) control enables or disables the epidemiological priority adjustment and is available in both Single Posture and Multiple Postures modes. In Multiple Postures mode, the dialog also displays the Include cumulative exertion load in recommended exertion (%) control, which enables or disables the temporal adjustment of the recommended moment.

In Multiple Postures mode, the reference moment is not obtained by applying the recommended %MVC for an isolated action to each posture. When Include cumulative exertion load in recommended exertion (%) is enabled, Ergoniza Intelligent uses the three-compartment model with enhanced recovery during rest, known as 3CC-r (Three-Compartment Controller with enhanced recovery), an adaptation of the three-compartment model that represents fatigue and recovery during intermittent tasks1. This model represents the evolution of muscular capacity by distributing the estimated total capacity among three states: available capacity at rest, capacity activated to generate the required moment, and temporarily fatigued capacity. At each instant, the model can estimate what proportion of the individualized maximum isometric capacity remains available as recommended capacity. The resulting 3CC-r Recommended Moment evolves according to the previous history of exertions, recovery, activity repetitions, and the rest periods between them.

If this control is disabled, the individualized maximum isometric capacity is used as the reference without a 3CC-r reduction. The same applies when the control is unavailable because Include repetitions and rest periods is disabled in the Activity Repetitions dialog (Figure 46). In Multiple Postures mode, this dialog can be opened with the Timing button on the side menu or the clock-shaped button at the bottom of the Exertion window (Figure 38).

Although the control name uses the term cumulative load, the 3CC-r adjustment does not use the value of the separate Cumulative exertion load indicator. That indicator is calculated separately using Maximum Endurance Time (MET) models and is explained in Section 10.3. The operation of the 3CC-r model and the relationship between the two procedures are described in Section 10.4.

Once the reference moment for the analysis mode has been determined, Ergoniza Intelligent compares it with the required moment to obtain the customized exertion indicator.

When Calculate max. recommended exertion (%) is disabled, the epidemiological priority adjustment is not applied. This adjustment weights the reference moment according to the observed prevalence of musculoskeletal disorders (MSDs) in the different body regions. The indicator displayed when the adjustment is disabled depends on the analysis mode and the moment used as the reference.

In Single Posture mode, the program displays the Percentage of Recommended Joint Capacity (%RJC), which compares the required moment with the Base Maximum Moment calculated from the duration and repetitiveness of the action.

In Multiple Postures mode, if Include cumulative exertion load in recommended exertion (%) is enabled, the program also displays the Percentage of Recommended Joint Capacity (%RJC), but in this case it compares the required moment with the 3CC-r Recommended Moment for the instant being analyzed. If this control is disabled or unavailable, the required moment is compared directly with the individualized maximum isometric capacity, and the result is called the Percentage of Maximum Isometric Capacity Used.

When Calculate max. recommended exertion (%) is enabled, the epidemiological priority adjustment is applied: the program weights the reference moment according to MSD prevalence in the body region and displays the Percentage of Maximum Recommended Exertion (%MRE), regardless of the analysis mode. Its calculation procedure is explained in Section 10.1.1.1.1.

In Single Posture mode, the Percentage of Recommended Joint Capacity (%RJC) expresses the required joint moment as a percentage of the Base Maximum Moment and is calculated for each degree of freedom of each joint (z) as follows:

\[\% RJC = 100 \bullet \frac{\left| M_{req,z} \right|}{\left| M_{base,z} \right|}\]

Equation 7

In this mode, a value of 100% indicates that the magnitude of the required moment equals the Base Maximum Moment; higher values indicate that it exceeds that moment. In Multiple Postures mode, when the 3CC-r adjustment is active, the equivalent ratio is established relative to the 3CC-r Recommended Moment, which may vary throughout the sequence. Its formulation is presented in Section 10.4.

10.1.1.1.1 Percentage of Maximum Recommended Exertion

The biomechanical indicator obtained without applying the epidemiological priority adjustment shows what proportion of the reference moment is demanded by the task. Depending on the analysis mode and the enabled settings, this indicator is called the Percentage of Recommended Joint Capacity (%RJC) or the Percentage of Maximum Isometric Capacity Used, as explained in the previous section.

The Percentage of Maximum Recommended Exertion (%MRE) supplements this assessment by incorporating the observed prevalence of musculoskeletal disorders in the different body regions. It thereby increases the priority assigned to regions whose prevalence is higher than the reference prevalence and reduces it in regions where prevalence is lower. The ergonomist thus has an indicator that combines the task's biomechanical demands with the observed epidemiological distribution of musculoskeletal disorders, helping prioritize analyses and possible intervention measures.

To enable this adjustment, select Calculate max. recommended exertion (%) under Epidemiological priority adjustment in the Biomechanical Analysis Settings dialog (Figure 41). This dialog is opened with the gear-shaped button at the bottom of the Exertion window (Figure 38).

In the instantaneous assessment, the epidemiological adjustment is applied after the reference moment for the analysis mode has been determined. It does not modify the required moment, the individualized maximum isometric capacity, the Base Maximum Moment, or the internal evolution of the 3CC-r model. Its function is to weight the applicable reference moment and the percentage obtained from it.

Table 2: Mean 12-month prevalences used in the epidemiological priority adjustment.

Body region Prevalence
Lumbar region 47%
Shoulder 50%
Elbow 21%
Wrist 42%
Hip 11%
Knee 33%
Ankle 17%

The prevalences are taken from the systematic review and meta-analysis by Govaerts et al. (2021)2 of workers in European secondary industries. The study's mean 12-month prevalences are used and assigned to the model regions as described below.

Ergoniza Intelligent internally defines a reference prevalence (Pref) to normalize the adjustment. This reference is the arithmetic mean of the seven prevalences assigned to the model regions and has a value of 31.57%. For each body region z, the weighting factor is calculated as follows:

\[W_{z} = \left( \frac{P_{z}}{P_{ref}} \right)^{\lambda}\]

Equation 8

Here, Pz is the prevalence for the region and λ is the Influence parameter. The user can change this parameter using the Influence control under Epidemiological priority adjustment in the Biomechanical Analysis Settings dialog (Figure 41). It can take values from 0.1 to 0.9, and its initial value is 0.5. λ does not represent a percentage contribution; it controls the strength of the weighting. The higher its value, the greater the difference established between regions with high and low prevalences. If a region's prevalence equals the reference prevalence, its weighting factor is 1.

To express the calculation consistently in both analysis modes, Mref,z denotes the biomechanical reference moment obtained before applying the epidemiological adjustment. This moment corresponds to:

  • The Base Maximum Moment in Single Posture mode.

  • The 3CC-r Recommended Moment for the instant being analyzed in Multiple Postures mode when the 3CC-r adjustment is enabled.

  • The individualized maximum isometric capacity in Multiple Postures mode when the 3CC-r adjustment is disabled or unavailable.

The reference limit resulting from the epidemiological adjustment is obtained by dividing the biomechanical reference moment by the weighting factor for the region:

\[M_{epi,z} = \frac{M_{ref,z}}{W_{z}}\]

Equation 9

The Percentage of Maximum Recommended Exertion is therefore calculated as follows:

\[{\% MRE}_{z} = 100 \bullet \frac{\left| M_{req,z} \right|}{\left| M_{epi,z} \right|}\]

Equation 10

This result is equivalent to multiplying the percentage that would be displayed without the epidemiological adjustment by Wz. A prevalence above the reference prevalence therefore increases the displayed percentage, while a prevalence below it reduces the percentage. This reduction does not mean that the joint has greater physiological capacity, that the required moment is lower, or that the task is biomechanically safer; it indicates only a lower relative epidemiological priority.

The %MRE should be interpreted as a comparative preventive-priority index, not as a measure of physiological capacity, an individual's probability of injury, or a causal estimate. The adjustment does not modify the mean maximum capacity, its standard deviation, or the Percentage of Protected or Unprotected Population. The same epidemiological weighting is applied to the Cumulative exertion load result, as explained in Section 10.3, which is presented as an indicator independent of the instantaneous %MRE and the temporal adjustment by 3CC-r.

When Calculate max. recommended exertion (%) is disabled, the displayed result depends on the mode and the reference moment used:

  • In Single Posture mode, the %RJC calculated relative to the Base Maximum Moment is displayed.

  • In Multiple Postures mode with the 3CC-r adjustment enabled, the %RJC calculated relative to the 3CC-r Recommended Moment is displayed.

  • In Multiple Postures mode with the 3CC-r adjustment disabled or unavailable, the Percentage of Maximum Isometric Capacity Used, calculated relative to the individualized maximum isometric capacity, is displayed.

10.1.1.1.2 Representation in the interface

When the customized exertion-assessment procedure is used, the Exertions table in the Exertion window (Figure 38) displays the required moment, the active muscle group, the population distribution of joint capacity, and the reference moment used to assess the task demands.

In the results table, the Recomm. column displays the percentage for the active assessment criterion. When the epidemiological priority adjustment is enabled, the Percentage of Maximum Recommended Exertion (%MRE) is displayed. When it is disabled, the Percentage of Recommended Joint Capacity (%RJC) is displayed if the reference is the Base Maximum Moment (in Single Posture mode) or the 3CC-r Recommended Moment (in Multiple Postures mode with this adjustment enabled). If the 3CC-r adjustment is not used in Multiple Postures mode, the percentage of maximum isometric capacity used is displayed.

The name of the indicator shown above the table and on the chart is updated automatically according to the analysis mode and enabled settings:

  • % maximum recommended exertion, when the epidemiological priority adjustment is enabled.

  • % recommended joint capacity, when the epidemiological adjustment is disabled and the reference moment incorporates the temporal adjustment for the analysis mode.

  • % maximum isometric capacity used, in Multiple Postures mode when both the epidemiological adjustment and the 3CC-r adjustment are disabled.

The last column of the table shows the level reached by the calculated percentage. If the value is below the Warning threshold, a green check mark appears. When it reaches the Warning threshold, an orange exclamation mark appears; when it reaches the Risk threshold, the exclamation mark is red. The initial values of these thresholds are 85% and 100%, respectively.

The user can change these values with the Orange threshold (%) and Red threshold (%) controls in the Visualization panel of the settings side menu. The thresholds apply to the actual calculated percentage regardless of the name of the displayed indicator.

A red symbol with a horizontal white line indicates that the joint is in an extreme posture in which exertion is not recommended for the movement and direction being analyzed; the corresponding reference moment is therefore zero. This is the case for left-wrist lateral deviation in Figure 38. Situations involving passive joint structures are described in greater detail in the following section.

The chart at the top of the Exertion window represents the active indicator for the different joints and movements. Bars are green when the value is below the Warning threshold, orange when it lies between the Warning and Risk thresholds, and red when it reaches or exceeds the Risk threshold.

When the 3CC-r temporal adjustment is used, the available recommended capacity may approach zero and produce very high percentages. To preserve readability, values above 500% are identified with the label >500. Bar height is visually limited to the chart's maximum scale; this limitation does not alter the actual value used to determine the risk level.

Figure 38 corresponds to an analysis performed in Single Posture mode. For this reason, the duration and repetitiveness conditions used to calculate the Base Maximum Moment are shown below the chart. In the example, the exertion is not repeated, is sporadic, and is sustained for 11 seconds. Left-shoulder abduction exceeds the Warning threshold, and right-shoulder lateral rotation greatly exceeds the Risk threshold. The worker's selected body build, corresponding to the 50th percentile in the example, is also shown above the chart.

In Multiple Postures mode, the percentage and the 3CC-r Recommended Moment may vary at each instant because of the previous history of exertions and recoveries. The displayed values therefore always correspond to the currently selected instant in the sequence.

10.1.1.1.3 Joint-limit situations at the elbow and knee

In certain postures, some joints—particularly those analyzed by the biomechanical model only through flexion and extension, such as the elbow and knee—may be at one end of their range of motion while the calculated external moment tends to move the joint beyond that limit, as in the case shown in Figure 39.

Under these circumstances, the joint moment still exists and must be resisted, but it should not be interpreted exclusively as a conventional active muscular demand. Part of the resistance may be borne by passive structures such as ligaments, the joint capsule, bone geometry, and periarticular tissues. Passive joint resistance is defined precisely as the torque exerted by viscoelastic tissues whose primary function is to restrict the range of motion3.

Identification of joint-limit situations at the elbow and knee.

Figure 39: Identification of joint-limit situations at the elbow and knee.

When the elbow is extended, the anterior capsule plays an important role in resisting certain loads, and the collateral ligaments contribute to lateral stability when the elbow is extended4. At terminal knee extension or hyperextension, stability depends heavily on passive structures and joint locking, so a moment tending to extend the knee further should not automatically be interpreted as an extensor muscle demand.

For example, if the knee is fully extended and the external moment tends to produce further extension, the response is not necessarily equivalent to an extensor muscle contraction comparable with a percentage of maximum voluntary contraction (%MVC). In that case, the result should be interpreted as a joint-limit condition involving passive structures, not as an ordinary active muscular exertion.

In these situations, Ergoniza Intelligent continues to calculate and display the joint moment because the mechanical load on the joint remains relevant. However, when it detects this condition, it identifies it visually in the interface. As shown in Figure 39, the bars in the exertion chart retain the color corresponding to the calculated demand level but include a purple border to indicate that the result occurs in a joint-limit situation. In the exertion table, the same condition is indicated by a padlock icon next to the assessment indicator, warning the user that the value must be interpreted cautiously because the moment may include a substantial contribution from passive structures and should not be interpreted directly as an ordinary active muscular demand.

10.1.1.2 Exertion assessment by Percentage of Protected Population

The second exertion-assessment procedure estimates, for each joint and movement, the percentage of the reference population whose maximum capacity is equal to or greater than the required moment. Ergoniza Intelligent calls this result the Percentage of Protected Population, although in strictly biomechanical terms it represents the estimated percentage of the population with sufficient capacity to produce the analyzed moment. To classify the result, the program uses by default the action and danger limits derived from historical NIOSH criteria5. In this context, “protected population” does not mean a population free from risk; it means a population whose estimated capacity is not exceeded by the required moment.

Exertion by joint as a percentage of protected population.

Figure 40: Exertion by joint as a percentage of protected population.

Ergoniza Intelligent defines two different limits based on those established by NIOSH: the Recommended Action Limit and the Danger Limit. By default, the Recommended Action Limit is set at 99% of the male population capable and 75% of the female population capable. When the calculated percentage is below this limit, the result is classified at the Action level, indicating that the task conditions should be reviewed and possible corrective measures considered.

By default, the Danger Limit is set at 25% of the male population capable and 1% of the female population capable. When the calculated percentage is below this limit, the result is classified at the Danger level and requires priority preventive intervention.

The values used to define the Action and Danger limits can be customized in the settings for the Exertion window. To open them, click the gear-shaped button in the lower-right corner of the window, visible in Figure 40. The settings dialog is shown in Figure 41.

Biomechanical Analysis Settings in Multiple Postures mode.

Figure 41: Biomechanical Analysis Settings in Multiple Postures mode.

When the Percentage of Protected Population criterion is selected in Ergoniza Intelligent, the final columns of the exertion table indicate whether the Recommended Action Limit or the Danger Limit has been reached. The upper chart in Figure 40 shows the percentage of unprotected population (the estimated percentage of the population whose joint capacity would be below the required moment). Assuming that the exertion is being performed by a man, all values above 1% reach the Recommended Action Limit; they are therefore shown in orange on the chart and marked with the word ACTION in the exertion table. For example, the chart in Figure 40 shows that 9% of the population has a joint capacity below the moment required for left-shoulder abduction, so the Recommended Action Limit is exceeded. If any value exceeded 75% of the unprotected population, it would exceed the Danger Limit and would be shown in red on the chart.

This procedure provides a population-based assessment rather than selecting a capacity corresponding to the body build of a particular worker. The capacity distributions used in the calculation incorporate the variables included in the biomechanical equations, such as posture, sex, age, and dominance when applicable. However, the procedure does not customize capacity using the body-build percentile or apply the reduction associated with task duration and repetitiveness. The default limits used to classify the result do differ for men and women.

In general, the Percentage of Protected Population criterion is particularly useful for assessing tasks intended for a large, heterogeneous working population because it indicates what proportion of that population is expected to have sufficient capacity to produce the required moments. When the aim is to analyze demands relative to a specific worker profile, the customized procedure is more appropriate. Depending on the analysis mode and the selected settings, the instantaneous indicator is expressed as the Percentage of Recommended Joint Capacity (%RJC), Percentage of Maximum Recommended Exertion (%MRE), or Percentage of Maximum Isometric Capacity Used. In multiple-posture analysis, the task's temporal evolution is also assessed through the Cumulative exertion load.


  1. John M. Looft, Nicole Herkert, and Laura Frey-Law, “Modification of a Three-Compartment Muscle Fatigue Model to Predict Peak Torque Decline during Intermittent Tasks,” Journal of Biomechanics 77, no. 22 (2018): 16–25, doi:10.1016/j.jbiomech.2018.06.005.↩︎

  2. Renée Govaerts et al., “Prevalence and Incidence of Work-Related Musculoskeletal Disorders in Secondary Industries of 21st Century Europe: A Systematic Review and Meta-Analysis,” BMC Musculoskeletal Disorders 22, no. 751 (2021), doi:10.1186/s12891-021-04615-9.↩︎

  3. Kei AOKI and Nobutoshi YAMAZAKI, “The Role of Joint Resistance by Passive Tissues in Human Bipedal Walking,” Biomechanisms 14 (1998): 59–68, doi:10.3951/biomechanisms.14.59.↩︎

  4. Saif Ul Islam et al., “The Anatomy and Biomechanics of the Elbow,” The Open Orthopaedics Journal 39, no. 2 (2008): 141–54, doi:10.2174/1874325002014010095.↩︎

  5. National Institute for Occupational Safety and Health (NIOSH), “Work Practices Guide for Manual Lifting -DHHS (NIOSH) Publication No. 81-122,” National Institute for Occupational Safety and Health (NIOSH), 1981.↩︎

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