Why do compressed materials fail in shear?

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SUMMARY

Compressed materials, such as concrete, fail in shear due to the inherent relationship between direct stresses and induced shear stresses. When compressive forces are applied, shear stresses develop on planes that are not perpendicular to the compression, peaking at 45°. The strength ratio of concrete in shear versus compression indicates that shear failure occurs prior to compressive failure. This phenomenon is particularly evident under one-dimensional applied stress conditions.

PREREQUISITES
  • Understanding of shear stress and its relationship to compressive stress
  • Knowledge of material properties, specifically concrete strength
  • Familiarity with stress-strain relationships in materials
  • Basic principles of mechanics of materials
NEXT STEPS
  • Research the shear strength of concrete and its implications in structural engineering
  • Study the mechanics of materials under one-dimensional stress conditions
  • Explore failure modes in materials, focusing on shear versus compression
  • Learn about stress analysis techniques, including Mohr's Circle for stress transformation
USEFUL FOR

Structural engineers, materials scientists, and students studying mechanics of materials will benefit from this discussion on shear failure in compressed materials.

phyzzy_physh
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Why when you compress materials like concrete do they fail in shear?

Can the thing you're compressing be too small to fail in this way?
 
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Direct stresses (tension or compression) induce shear stresses on any plane they are not exactly perpendicular to. These shear stresses vary from zero on a plane at right angles to the compressive stress to a maximum on a plane at 45° to the applied compression.

The ratio of the strength of concrete in shear to the strength in compression is such that the concrete will fail in shear along these planes before it fails in compression.

This is the simple answer for one dimensional applied stress.
 

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