Stress and Strain Concepts in Mechanics

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Questions and Answers

What is stress?

  • The internal force per unit area (correct)
  • The ratio of internal force to cross-sectional area
  • The change in angle due to shearing forces
  • The deformation within a body

How is normal stress calculated?

  • By multiplying the deformation by the density of the material
  • By adding the tensile and compressive stresses
  • By dividing the applied force by the cross-sectional area (correct)
  • By dividing the shear force by the length of the material

What kind of stress are tensile stresses considered?

  • Positive (correct)
  • Neutral
  • Zero
  • Negative

In uniaxial loading, how many forces are applied along the same axis to a solid bar?

<p>Two forces (D)</p> Signup and view all the answers

What is Young's modulus?

<p>The ratio of stress to strain (B)</p> Signup and view all the answers

Which type of materials exhibit elastic and plastic deformation regions on stress-strain diagrams?

<p>Ductile materials (C)</p> Signup and view all the answers

What is shear stress?

<p>When internal forces within a body are oriented parallel to the cross-section (C)</p> Signup and view all the answers

What does strain quantify?

<p>The deformations within a body (B)</p> Signup and view all the answers

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Study Notes

  • Stress and strain are fundamental concepts used to describe how a body responds to external loads.
  • Uniaxial loading involves two equal and opposite forces applied along the same axis to a solid bar, causing it to stretch.
  • Internal forces develop within the bar to resist applied forces, and equilibrium is maintained through these internal forces.
  • Stress is a measure of internal force per unit area, with normal stress being calculated as applied force divided by cross-sectional area.
  • Normal stress can be tensile or compressive, with tensile stresses considered positive and compressive stresses negative.
  • Strain is a quantity that describes deformations within a body, often expressed as a percentage.
  • Stress-strain diagrams show the relationship between stress and strain, with ductile materials exhibiting elastic and plastic deformation regions.
  • Young's modulus is the ratio of stress to strain and is an important material property.
  • Shear stress occurs when internal forces within a body are oriented parallel to the cross-section, and shear strain is the change in angle due to shearing forces.
  • Shear modulus is the ratio of shear stress to shear strain, and stress elements represent both normal and shear stresses acting at a single point within a body.

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