modulus of rigidity: meaning, definition, pronunciation and examples

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UK/ˈmɒd.jʊ.ləs əv rɪˈdʒɪd.ɪ.ti/US/ˈmɑː.dʒə.ləs əv rɪˈdʒɪd.ə.t̬i/

Technical/Specialized

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Quick answer

What does “modulus of rigidity” mean?

A measure of a material's resistance to shear deformation (shape change at constant volume) under applied force.

Audio

Pronunciation

Definition

Meaning and Definition

A measure of a material's resistance to shear deformation (shape change at constant volume) under applied force.

A specific elastic constant (denoted G or sometimes μ) in continuum mechanics, defined as the ratio of shear stress to shear strain in the elastic (linear) region of deformation for a given material.

Dialectal Variation

British vs American Usage

Differences

No significant differences in usage or definition. Spelling follows standard UK/US conventions for surrounding text (e.g., 'rigidity' vs. 'rigidity').

Connotations

Purely technical, with identical scientific meaning in both variants.

Frequency

Equally rare and specialized in both dialects, confined to identical technical contexts.

Grammar

How to Use “modulus of rigidity” in a Sentence

The modulus of rigidity of [MATERIAL] is [VALUE].To calculate/find/determine the modulus of rigidity.[MATERIAL] has a high/low modulus of rigidity.

Vocabulary

Collocations

strong
shear modulustorsion moduluselastic moduluscalculate the modulus of rigidityhigh modulus of rigidityvalue of the modulus of rigidity
medium
modulus of rigidity of steeldetermine the modulusmodulus and Poisson's ratiotest for modulus of rigidity
weak
material's moduluslow modulusengineering modulusproperty modulus

Examples

Examples of “modulus of rigidity” in a Sentence

verb

British English

  • The experiment aimed to characterise how the alloy behaved when stressed, allowing engineers to precisely determine its modulus of rigidity.

American English

  • The software analyzes the material's response to shear forces, helping to characterize and compute its modulus of rigidity.

adverb

British English

  • The material deformed almost purely elastically, allowing a straightforward calculation of the modulus of rigidity.

American English

  • The beam was designed rigidly enough that its high modulus of rigidity was the controlling factor.

adjective

British English

  • The modulus of rigidity value is a critical parameter for the design.

American English

  • Shear modulus data is presented in the appendix.

Usage

Meaning in Context

Business

Virtually never used.

Academic

Exclusively used in advanced physics, materials engineering, and mechanical engineering textbooks and research papers.

Everyday

Never used in everyday conversation.

Technical

Core term in solid mechanics, materials testing, and structural design calculations involving shear stress.

Vocabulary

Synonyms of “modulus of rigidity”

Strong

torsion modulus

Weak

rigidity moduluselastic shear constant

Vocabulary

Antonyms of “modulus of rigidity”

shear compliance

Watch out

Common Mistakes When Using “modulus of rigidity”

  • Using 'modulus of rigidity' interchangeably with 'Young's modulus'. They describe resistance to different types of deformation (shear vs. tension).
  • Pronouncing 'modulus' as /mɒˈduː.ləs/ instead of /ˈmɒd.jʊ.ləs/.
  • Omitting the 'of' in the phrase (e.g., 'modulus rigidity').

FAQ

Frequently Asked Questions

Yes, 'shear modulus' and 'modulus of rigidity' are synonymous terms in engineering and physics.

It is measured in Pascals (Pa), Gigapascals (GPa), or pounds per square inch (psi), the same units as pressure and stress.

Young's modulus measures resistance to linear (tensile/compressive) deformation, while the modulus of rigidity measures resistance to shear (sliding/twisting) deformation.

Elastomers like rubber have a relatively low modulus of rigidity, meaning they deform easily under shear stress, which contributes to their flexibility.

A measure of a material's resistance to shear deformation (shape change at constant volume) under applied force.

Modulus of rigidity is usually technical/specialized in register.

Modulus of rigidity: in British English it is pronounced /ˈmɒd.jʊ.ləs əv rɪˈdʒɪd.ɪ.ti/, and in American English it is pronounced /ˈmɑː.dʒə.ləs əv rɪˈdʒɪd.ə.t̬i/. Tap the audio buttons above to hear it.

Learning

Memory Aids

Mnemonic

Think of the RIGIDity modulus as how much a material RIGIDly resists being 'scissored' or slid in layers (shear). A rigid block is hard to shear.

Conceptual Metaphor

The material's internal 'stiffness' against a sliding or twisting force, akin to the friction between layers of a solid.

Practice

Quiz

Fill in the gap
In a torsion test, the applied torque and resulting angle of twist are used to calculate the of the material.
Multiple Choice

What type of deformation does the modulus of rigidity quantify?

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