Deformation of a Loaded Axial Beam

In summary, axial loading deformation is a type of deformation in materials caused by an external force applied along the longitudinal axis. This force can stretch, compress, or twist the material, resulting in a change in shape or size. The amount of deformation is affected by various factors, such as the material's properties, magnitude and direction of the force, and the dimensions of the material. Excessive axial loading deformation can lead to permanent deformation or failure, causing structural issues and potential hazards. To prevent or minimize this, engineers and designers can use stronger and stiffer materials, appropriate dimensions, and controlled loading methods.
  • #1
Precursor
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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):

[tex]\delta = \frac{PL}{AE}[/tex]

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

[tex]\delta = 0.1091 mm[/tex]

However, the solution for this is actually 0.01819 mm. Where did I go wrong?
 
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  • #2
I think you have found the movement of A relative to B. I expect the answer is the movement of A relative to C.
 

FAQ: Deformation of a Loaded Axial Beam

What is axial loading deformation?

Axial loading deformation is a type of deformation that occurs in materials when a force is applied along the longitudinal axis of the material. This can result in a change in the shape or size of the material.

What causes axial loading deformation?

Axial loading deformation is caused by an external force, such as tension, compression, or torsion, being applied to a material. This force can cause the material to stretch, compress, or twist, resulting in deformation.

What factors affect the amount of axial loading deformation?

The amount of axial loading deformation is affected by several factors, including the material's properties, such as its elasticity and strength, the magnitude and direction of the applied force, and the length and cross-sectional area of the material.

What are the potential consequences of excessive axial loading deformation?

If the amount of axial loading deformation exceeds the material's capacity to withstand the force, it can lead to permanent deformation or failure of the material. This can cause structural issues and potentially hazardous situations.

How can axial loading deformation be prevented or minimized?

To prevent or minimize axial loading deformation, engineers and designers can use materials with higher strength and stiffness, design structures with appropriate dimensions and cross-sectional areas, and apply load in a controlled and distributed manner.

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