In Chapter 1.2 we looked at why deformation is important, and you’re given the deformation magnitude and tasked to determine the strain.
For practical scenarios, we are usually given instead the loading magnitude and the material properties (e.g. Young’s modulus E). So how do we determine the deformation from these given variables? Well, we have the elastic deformation formula:
In Chapter 1.2 we looked at why deformation is important, and you’re given the deformation magnitude and tasked to determine the strain.
For practical scenarios, we are usually given instead the loading magnitude and the material properties (e.g. Young’s modulus E). So how do we determine the deformation from these given variables? Well, we have the elastic deformation formula:
The formula given above is when all parameters are constant. We present the general formula for when any parameter is not constant:
Look’s complicated? Not to worry, you probably wouldn’t use this 99% of the time, since we deal mostly with uniform members (i.e. same cross-sectional area and material properties).
Personally I don’t like derivations as its too math-heavy (we’re engineers after all). Nevertheless the derivation for this formula is too easy, that I’ll include it for your reference (you don’t need to know this though):
Voila! Easy aye? Let’s look at an example now.
The formula given above is when all parameters are constant. We present the general formula for when any parameter is not constant:
Look’s complicated? Not to worry, you probably wouldn’t use this 99% of the time, since we deal mostly with uniform members (i.e. same cross-sectional area and material properties).
Personally I don’t like derivations as its too math-heavy (we’re engineers after all). Nevertheless the derivation for this formula is too easy, that I’ll include it for your reference (you don’t need to know this though):
Voila! Easy aye? Let’s look at an example now.