Simple stress, strain, elongation relationship question

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SUMMARY

The discussion focuses on calculating the normal stress, normal strain, and elongation of a circular steel bar subjected to an axial load of 50 kN. The normal stress is determined to be 159 MPa, and the normal strain is calculated as 795 x 10^-6. The elongation is correctly calculated as 0.8 mm, which is derived from the strain multiplied by the original length of 1 m. The participant, Claudius, initially miscalculated the elongation due to a misunderstanding of metric conversions.

PREREQUISITES
  • Understanding of normal stress and strain concepts
  • Familiarity with material properties, specifically Elastic Modulus
  • Basic knowledge of axial loading in structural engineering
  • Proficiency in metric system conversions
NEXT STEPS
  • Study the relationship between stress, strain, and elongation in materials
  • Learn about the properties of steel and its Elastic Modulus
  • Explore axial loading effects on different cross-sectional shapes
  • Review metric system conversions and their applications in engineering calculations
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Engineering students, structural engineers, and anyone involved in material mechanics or stress analysis will benefit from this discussion.

Iclaudius
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Howdy ya'll,

a relatively simple question,

A circular bar 20mm in diameter and 1m long is subjected to an axial load of 50kN. Determine:

(i) The normal stress.
(ii) The normal strain.
(iii) The elongation.

Assume the material is steel with an Elastic Modulus of 200GPa.

ok so i got normal stress = 159 MPa, normal strain = 795*10^-6,
but here is my problem - solving for elongation why can i not just plug in the strain amount and solve for the change in length i.e strain * original length = change in length?
by the way elongation = 0.8mm which is not what i get using the aforementioned method.

(sorry for no math symbols)
Thanks in advance,
Claudius
 
Engineering news on Phys.org
795 x 10-6 multiplied by 1 m is not approximately 0.8 mm?
 
oh snap, don't know what i was thinking lol, thanks for pointing out my oversight, guess i need more practice with the metric system :(
 

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