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Related Concept Videos

Measurements of Strain01:27

Measurements of Strain

1.0K
Strain quantifies the deformation of a material under force, typically measured as normal strain, which represents the change in length when compared with the original length. Electrical strain gauges are used for enhanced accuracy. These devices consist of a conductive wire mounted on a paper backing that adheres to the material's surface. These gauges operate on the piezoresistive effect, where the wire's electrical resistance changes in response to mechanical deformation. The strain...
1.0K
Design Example: Strain Gauge Bridge or Wheatstone Bridge01:15

Design Example: Strain Gauge Bridge or Wheatstone Bridge

414
The utilization of strain gauges as transducers for converting mechanical strain into electrical signals is a common practice in various engineering applications. These strain gauges are frequently integrated into Wheatstone bridge circuits to accurately measure parameters such as force or pressure. Within this context, each element within the circuit exhibits a resistance that undergoes subtle variations when subjected to mechanical strain. The primary objective is to convert minuscule...
414
Stress-Strain Diagram01:10

Stress-Strain Diagram

664
A stress-strain diagram is a crucial tool that graphically displays a material's mechanical characteristics. This diagram is derived from a tensile test performed on a carefully prepared cylindrical specimen. The specimen has two gauge marks inscribed on its central part, and the distance between these marks is known as the gauge length. The cylindrical specimen is placed in a testing machine, which applies an increasing centric load. As this load grows, so does the gauge length. This...
664
Uncertainty in Measurement: Reading Instruments02:46

Uncertainty in Measurement: Reading Instruments

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Counting is the type of measurement that is free from uncertainty, provided the number of objects being counted does not change during the process. Such measurements result in exact numbers. By counting the eggs in a carton, for instance, one can determine exactly how many eggs are there in the carton. Similarly, the numbers of defined quantities are also exact. For example, 1 foot is exactly 12 inches, 1 inch is exactly 2.54 centimeters, and 1 gram is exactly 0.001 kilograms. Quantities...
38.3K
True Stress and True Strain01:28

True Stress and True Strain

322
Engineering stress is calculated as the load divided by the original, undeformed cross-sectional area. It approximates a material under load. This approximation is especially relevant post-yield in ductile materials. Though engineering stress-strain diagrams are often used for their convenience and accessibility, they can sometimes fall short in accuracy, particularly when dealing with large strain values.
In contrast, true stress offers a more precise portrayal. It is computed by dividing the...
322
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

150
In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
150

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A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
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An Uncertainty Model for Strain Gages Using Monte Carlo Methodology.

Matthias Haslbeck1, Jörg Böttcher1, Thomas Braml1

  • 1Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, D-85577 Neubiberg, Germany.

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|November 14, 2023
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Summary

This study presents a method for evaluating uncertainties in electric strain gage measurements for mechanical systems. The approach uses Monte Carlo simulation to model influence factors and nonlinearities, aiding practical engineering applications.

Keywords:
GUMMonte Carlo simulationelectric strain measurementglobal sensitivity analysismeasurement uncertaintymodel updating

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Area of Science:

  • Mechanical Engineering
  • Metrology
  • Civil Engineering

Background:

  • Accurate mechanical system validation relies on precise measurements.
  • Understanding measurement uncertainty is crucial for reliable data.
  • Electric strain gages are widely used but require careful uncertainty evaluation.

Purpose of the Study:

  • To develop and present a practical method for evaluating uncertainties in strain measurements using electric strain gages.
  • To model key influence factors, including nonlinearities and environmental conditions.
  • To apply the method to strain measurement on a large-span road bridge under static load.

Main Methods:

  • Deduction of a basic measurement model incorporating main influence factors and their uncertainties.
  • Statistical modeling of inputs and the underlying physical relationship.
  • Application of Monte Carlo simulation for uncertainty propagation.
  • Variance-based sensitivity analysis to assess nonlinearity and factor importance.
  • Experimental quantification of gage misalignment effects.

Main Results:

  • A comprehensive scheme for uncertainty evaluation in strain measurements was developed.
  • The impact of nonlinearities, environmental conditions, and gage misalignment was quantified.
  • Sensitivity analysis identified key factors influencing the measurement uncertainty distribution.
  • The method demonstrated practical applicability in a real-world bridge engineering project.

Conclusions:

  • The developed method provides a robust framework for assessing strain measurement uncertainty.
  • It simplifies the process, requiring minimal expert knowledge in analytical uncertainty derivation.
  • The scheme is adaptable for various engineering applications and requirements.
  • Accurate uncertainty quantification enhances the reliability of mechanical system validation.