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Related Concept Videos

Cable Subjected to a Distributed Load01:24

Cable Subjected to a Distributed Load

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When a rigid body is hanging freely from a fixed pivot point and is displaced, it oscillates similar to a simple pendulum and is known as a physical pendulum. The period and angular frequency of a physical pendulum are obtained by using the small-angle approximation and drawing parallels with a spring-mass system. The small-angle approximation (sinθ=θ) is valid up to about 14°.
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Indeterminate Structure01:18

Indeterminate Structure

Indeterminate structures refer to structures where internal forces and reactions cannot be determined using only the equations of static equilibrium.  Indeterminate structures have more unknown forces and reaction forces than equations of static equilibrium that can be used to determine them. Indeterminate structures are often used in engineering to create complex, efficient, and aesthetically pleasing structures. There are various types of indeterminate structures used in engineering and some...
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Related Experiment Video

Updated: Jul 9, 2026

The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids
10:03

The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids

Published on: September 30, 2014

Rupture work of pendular bridges.

P C T de Boer1, M P de Boer

  • 1Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA.

Langmuir : the ACS Journal of Surfaces and Colloids
|November 29, 2007
PubMed
Summary

Evaporation significantly reduces the rupture work of capillary bridges by approximately 50%. This thermodynamic effect, driven by heat absorption, impacts micro- and nanomachining and granular mechanics.

Area of Science:

  • Physics
  • Thermodynamics
  • Surface Science

Background:

  • Capillary bridges generate significant forces between solid surfaces, relevant to micro/nanomachining, biology, and granular mechanics.
  • Existing models for capillary bridge rupture work do not account for liquid evaporation, a critical factor for volatile liquids.

Purpose of the Study:

  • To investigate the thermodynamic effects of evaporation on the rupture work of capillary bridges.
  • To develop an extended mathematical model that accurately predicts rupture work considering evaporation.

Main Methods:

  • Thermodynamic control-volume analysis applied to the pendular bridge geometry.
  • Exact mathematical solution of the meniscus problem for non-wetting surfaces, extending prior work.
  • Analytical derivation of conditions at rupture and inflection points, and for rupture work.

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Last Updated: Jul 9, 2026

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Main Results:

  • Evaporation decreases capillary bridge rupture work by approximately a factor of two.
  • The decrease in rupture work is attributed to heat absorbed from the surroundings converted into work.
  • A single equation accurately fits rupture work across a wide range of meniscus curvatures (3 orders of magnitude).

Conclusions:

  • Thermodynamic considerations, specifically evaporation, are crucial for accurate calculations of capillary bridge rupture work.
  • The developed model and equation provide a more precise understanding of capillary forces in systems with volatile liquids.
  • Findings have implications for optimizing processes in micro/nanotechnology and understanding phenomena in granular materials.