00:01
All right, so let's say we have a rod that has a diameter of 2 millimeters and a length of 100 millimeters.
00:09
It's made of steel, so young's modulus here, actually let's call it e, is 200 billion pascals, and we're told that it has a shear modulus, we'll call this, i don't know, we'll call it g, which is 77 billion pascals, and then the yield strength we'll call sigma is 0 .3 billion pascals.
00:40
So we want to find how much does the length change as a result of a load of 500 newtons applied to it.
00:48
So this will be the original length times the stress, which is going to be f over the area, which is pi d squared over 4 divided by young's modulus.
00:58
So this is 0 .08 millimeters, and then we can find the diameter, the amount the diameter changes, because this should be, i guess, i think this is just meant to be 0 .3, i don't think there are any units...