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MEC-48

Poisson strain

Lateral contraction in uniaxial tension.

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MachinesPoisson strain

Governing equation

εy=−νεx\varepsilon_y=-\nu\varepsilon_x

where

\nu
Poisson (—)
\varepsilon_x
Axial (—)
\varepsilon_y
Lateral (—)

Lecture brief

Historical brief

Machine design grew from Coulomb torsion and Hertz contact (1881) through Soderberg fatigue and the heat-engine cycle. The lab writes shaft, bearing, contact and thermodynamic limits in SI. This sheet (MEC-48 — Poisson strain) is the form associated with Poisson strain. Working symbols: ν\nu, εx\varepsilon_x →\rightarrow εy\varepsilon_y. Lateral contraction in uniaxial tension. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute εy\varepsilon_y from ν\nu, εx\varepsilon_x in Mechanical via εy=−νεx\varepsilon_y=-\nu\varepsilon_x Lateral contraction in uniaxial tension. Use it when a real mechanical question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given ν=0.300 —\nu = 0.300\,\mathrm{—}, εx=0.002 —\varepsilon_x = 0.002\,\mathrm{—}, the governing relation εy=−νεx\varepsilon_y=-\nu\varepsilon_x yields εy=−6.000e−4 —\varepsilon_y = -6.000e-4\,\mathrm{—}. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Outputs

  • Lateral \varepsilon_y-0.00060 —
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MEC-48 · mohr
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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Lateral contraction in uniaxial tension. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube