- #1
jhartc90
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Homework Statement
If I consider a force, which is applied to both ends of a rectangular beam to its cross section with dimensions w (width) and h (height) and I know the length of the beam is l and the force is parallel, how can I calculate the stress?
Also, what if the force were parallel to the [111] direction? How could I calculate the stress and strain considering the force is not parallel?
Homework Equations
For the first part, I think I would just use:
$$\sigma = F/A = \frac{F}{wh}$$
I now that A is the area perpendicular to the applied force.
But do I need to anything specific to account for the fact that it is applied at both ends?
Also, when the force applied is in the [111] direction, I am not sure how to calculate the stress and strain.
The Attempt at a Solution
As per the relevant equations, I show my attempt. I just use
$$\sigma = F/A = \frac{F}{wh}$$
for the first part. Not sure if it should be 2F since the force is applied on both ends?
I am not sure about how to calculate stress and strain when the force is parallel to the [111] direction. Any ideas? How do I calculate the area perpendicular to the applied force in [111] direction (just in variables).