How Is Displacement Calculated in a Shear Strain Scenario?

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SUMMARY

The discussion focuses on calculating displacement in a shear strain scenario involving a square steel plate measuring 10.0 cm on each side and 0.500 cm thick. A force of 9.0 x 10^5 N is applied to each side, resulting in a shear strain of 2.4 x 10^-2. The key equation used is the relationship of displacement to length, specifically dL/L, where dL represents displacement and L represents the original length. The inquiry centers on determining the displacement x in centimeters under the applied force.

PREREQUISITES
  • Understanding of shear strain and its calculation
  • Familiarity with basic mechanics of materials
  • Knowledge of the relationship between force, displacement, and length
  • Proficiency in using the formula dL/L for strain calculations
NEXT STEPS
  • Study the effects of shear stress on material deformation
  • Learn about the properties of steel and its stress-strain curve
  • Explore advanced topics in mechanics of materials, such as torsion and bending
  • Investigate numerical methods for simulating shear strain scenarios
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Students in engineering or physics, particularly those studying mechanics of materials, as well as professionals involved in structural analysis and material science.

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Homework Statement



A square steel plate is 10.0cm on a side and 0.500cm thick.

Find the shear strain that results if a force of magnitude 9.0*10^5 is applied to each of the four sides, parallel to the side.

I found the shear strain to be 2.4*10^-2

Find the displacement x in centimeters.

Homework Equations



dL/L

The Attempt at a Solution



I know that strain is displacement over length... But, is that what it's asking? Where would it be displaced if all of the sides take the pressure? And what would the initial length be?
 
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