Normal Stress in Axially Loaded Bars

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Questions and Answers

Which type of force is present in an axially loaded bar?

  • Torsional force
  • Tangential force
  • Shear force
  • Normal force (correct)

In which situations can a bar experience normal stress?

  • When pulled (tension) or compressed (correct)
  • When sheared
  • When bent
  • When twisted

When is the stress in a bar constant and uniform across the cross-sectional area?

  • When every point deforms the same amount (correct)
  • When there are multiple internal forces present
  • When every point deforms differently
  • When the bar is twisted

What assumptions is the equation for normal stress (σ = P/A) based on?

<p>Material homogeneity and isotropy (D)</p> Signup and view all the answers

Why is the stress distribution different near the concentrated load compared to far away in an axially loaded bar?

<p>Due to the contribution of particles in distributing the load (C)</p> Signup and view all the answers

Flashcards

Normal force

A force acting perpendicular to a surface, like the force pulling or pushing on a bar.

Normal stress

The internal resistance of a material to deformation, specifically caused by the normal force acting perpendicular to a surface.

Uniform stress distribution

When the stress experienced by the material throughout the cross-section is the same.

Material homogeneity and isotropy

The assumption that the material properties are the same in all directions and at all points within the material.

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Stress distribution in an axially loaded bar

The stress in a bar is not evenly distributed under the direct application of a concentrated load. It's more concentrated near the load and less concentrated further away.

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Study Notes

  • Normal stress in an axially loaded bar is discussed, where there is only an internal normal force present.
  • In such cases, the bar is either being pulled (tension) or compressed, with examples like trusses, legs when standing still, trees, chair legs, etc.
  • The stress in the bar is important to determine when it will break.
  • The stress is constant and uniform across the cross-sectional area when every point deforms the same amount.
  • The equation for normal stress (σ = P/A) is based on assumptions of material homogeneity and isotropy.
  • The equation applies at locations with uniform deformation and is an average normal stress.
  • The stress distribution is different near the concentrated load compared to far away due to the contribution of particles in distributing the load.

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