Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
if a hot steel rod is rigidly clamped and allowed to cool...?
and given the Young's Modulus, the tensile strength and the coefficient of linear expansion, how can I calculate when it will fracture?
Thanks I will consider this answer but my question should have been at what temperature would it fracture? But maybe I can rearrange the formula. We don't know the length or cross sectional area and have to rely on the data above, alone.
1 Answer
- Barry GLv 78 years agoFavorite Answer
Suppose the rod has length L and the coefficient of temperature expansion (or contraction) is a. If the rod is cooled by T degrees then it would contract by length aLT unless constrained.
The rod is constrained to maintain a constant length L. The tension in the cooled rod is such as would cause it to expand by the same amount aLT as the temperature reduction would make it contract. The strain would be aLT/L = aT. So the stress in the rod is then S = E x strain = aET.
So the rod will fracture when aET equals the breaking stress (tensile strength) of steel..
