Deformation of a Loaded Axial Beam

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    Axial Deformation
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SUMMARY

The discussion centers on the deformation of a loaded axial beam, specifically calculating the deflection using the formula δ = PL/AE. The user initially calculated a deflection of 0.1091 mm using a load of 6,000 N, a length of 0.4 m, and material properties of steel (Young's modulus of 70 GPa). However, the correct deflection is identified as 0.01819 mm, indicating a misunderstanding in the reference points for measuring deflection, specifically the movement of point A relative to point C instead of point B.

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  • Understanding of axial load and beam deformation principles
  • Familiarity with Young's modulus and material properties
  • Knowledge of basic mechanics of materials
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Homework Statement
[PLAIN]http://img826.imageshack.us/img826/8600/217yf.jpg


The attempt at a solution
This is my work for part (a):

\delta = \frac{PL}{AE}

\delta = \frac{(6*10^3 N)(0.4 m)}{(70*10^9 Pa)(\frac{\pi}{4})(0.02^2 m)}

\delta = 0.1091 mm

However, the solution for this is actually 0.01819 mm. Where did I go wrong?
 
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I think you have found the movement of A relative to B. I expect the answer is the movement of A relative to C.
 

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