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Fiberglass Bar: Stress-Strain Analysis and Elongation Calculation

Understand the behavior of a fiberglass bar through stress-strain analysis. Calculate elongation based on given stress-strain diagram. Learn about Hook’s law, elastic modulus, shear modulus, and Poisson's ratio.

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Fiberglass Bar: Stress-Strain Analysis and Elongation Calculation

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  1. CE 203-Structural Mechanics MATERIAL BEHAVIOR

  2. Load deformation relation

  3. Stress strain diagram

  4. The shown bar has a diameter of 10 mm. Calculate the elongation if the bar is made of fiberglass which has the given stress strain diagram.

  5. Hook’s law • In the elastic region we some times we can say that there is a linear relation between stress and strain εx = σx/E This is the simplest form of Hook’s law where E is the elastic modulus or Modulus of elasticity or Young’s modulus

  6. τγ diagram

  7. Shear modulusG = E/2(1+ν)

  8. Poisson’s ratio ν • Lateral and longitudinal strains are related by a material constant called Poisson’s ratio ν = - εLat / εLong

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