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Axially Loaded Members


Member Under
<br>Tension
Member Under
Tension

An axial load is a load applied along the primary axis of a member. A column or pillar are examples of everyday objects under axial loads. The illustration to the right shows an axially loaded member which is under tension.

An axially loaded column experiences a tensile or compressive stress equal to:
[math]\color{blue}\sigma = \frac{F}{A}[/math]
The strain can be determined by observing the change in length of the object as strain:
[math]\color{blue}\varepsilon = \frac{(L-L_0)}{L_0}[/math] where [math]L_0[/math] is the original length of the member and L is the length when the member is loaded.
We also know that stress is related to strain by this equation: [math]\color{blue}\sigma = E\varepsilon[/math]

Using these three equations, we can determine different things about a member such as the applied force when we only know the material properties and the geometry before and after the force is applied.

There is a worked example here: Force Applied To An Axially Loaded Column