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Principal Stresses

Principal Stresses

The graphical depiction of normal and shearing stress equations is represented by a circle, demonstrating the interplay between these stresses under different angular conditions. The center of this circle C, located on the vertical axis, represents the average normal stress, while its radius shows the range of stress variations. At points A and B, where the circle intersects the horizontal axis, the maximum and minimum normal stresses are observed, occurring without shearing stress. These...

Problem-Solving: Tuning of a Guitar String

Problem-Solving: Tuning of a Guitar String

In the case of stringed instruments like the guitar, the elastic property that determines the speed of the sound produced is its linear mass density or the mass per unit length. This is simply called the linear density. If the string's linear density is constant along the string, then the linear density is simply the total mass divided by the total length.
The string's wave speed can be regulated by varying the linear density. Tension is the other property that determines the speed of...

Stress Concentrations

Stress Concentrations

The concept of stress concentration is crucial for understanding how materials respond under bending stresses, particularly when there are irregularities or discontinuities in the material's geometry. Normally, stress in a symmetric member subjected to pure bending is assumed to be uniformly distributed across the entire cross-section. However, this assumption does not hold when there are variations in the cross-sectional geometry or the presence of notches and holes.
The stress concentration...

Stress Concentrations

Stress Concentrations

Stress concentration is when stress intensifies near discontinuities such as holes or abrupt cross-sectional changes in a structural member. This localized stress can often surpass the average stress within the member. The stress distribution in flat bars, either with a circular hole or varying widths connected by fillets, can be determined experimentally using a photoelastic method. The results are based on ratios of geometric parameters like the ratio of the hole's radius to the smaller width...

True Stress and True Strain

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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.
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Principal Stresses: Problem Solving

Principal Stresses: Problem Solving

When analyzing two planes intersecting at right angles under the influence of shearing, tensile, and compressive stresses, it is essential to identify principal planes, maximum shearing stress, and principal stresses. To find the principal planes, apply a formula that equates them to twice the shearing stress divided by the difference between tensile and compressive stresses.

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Related Experiment Video

Updated: May 9, 2026

Hemi-laryngeal Setup for Studying Vocal Fold Vibration in Three Dimensions

Hemi-laryngeal Setup for Studying Vocal Fold Vibration in Three Dimensions

Published on: November 25, 2017

Stress-meter alignment in French vocal music.

Nicholas Temperley¹, David Temperley

¹School of Music, University of Illinois at Urbana-Champaign, 1114 West Nevada Street, Urbana, Illinois 61801, USA. ntemp@illinois.edu

The Journal of the Acoustical Society of America

|July 19, 2013

Summary

This study analyzed French songs to investigate word stress. Results indicate French syllables align with musical meter, suggesting stress distinctions in polysyllabic words and between word types.

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fMRI Mapping of Brain Activity Associated with the Vocal Production of Consonant and Dissonant Intervals

fMRI Mapping of Brain Activity Associated with the Vocal Production of Consonant and Dissonant Intervals

Published on: May 23, 2017

Area of Science:

Linguistics
Phonetics
Musicology

Background:

Debate exists on French stress: lexical (final syllable) vs. phrasal.
Vocal music offers potential evidence for lexical stress patterns.

Purpose of the Study:

Investigate stress-meter alignment in French vocal music.
Determine if French exhibits lexical stress through musical settings.

Main Methods:

Corpus analysis of French songs.
Examined syllable occurrence in musical meter positions.
Compared polysyllabic word syllables and monosyllabic word types.

Main Results:

Polysyllabic word final syllables align with stronger metrical positions.
Monosyllabic content words align with stronger positions than function words.
Stress-meter conflicts are more frequent in French than English songs.

Conclusions:

French poets and composers recognize syllable stress distinctions.
Evidence supports stress differences within polysyllabic words and between word classes.