Stress and Strain Concepts in Mechanics

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8 Questions

What is stress?

The internal force per unit area

How is normal stress calculated?

By dividing the applied force by the cross-sectional area

What kind of stress are tensile stresses considered?

Positive

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

Two forces

What is Young's modulus?

The ratio of stress to strain

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

Ductile materials

What is shear stress?

When internal forces within a body are oriented parallel to the cross-section

What does strain quantify?

The deformations within a body

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.

Explore fundamental concepts of stress and strain in mechanics, including uniaxial loading, normal stress, strain, stress-strain diagrams, Young's modulus, shear stress, and shear modulus. Learn about the relationships between internal forces, deformations, and material properties within a body.

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