| @@ -480,6 +480,12 @@ The ASME code says that these accelerations (depicted in [@fig:acceleration]) ar | |||
| Even though we did not yet discuss it in detail, we want to solve an elastic problem subject to an internal pressure condition, with a non-uniform temperature distribution that lead to both thermal stresses and variations in the mechanical properties of the materials. And as if this was not enough, we want to add at some instants a statically-equivalent distributed load that comes from a design earthquake. | |||
| Just for the sake of it, let us jump out of our nuclear piping problem and step back into the general finite-element theory ground (remember we were going to jump back and forth). We have a linear elastic problem (well, we still do not have it but we will in\ [@sec:break]), so we might exploit the problem’s linearity and compute all the effects separately and them sum them up to obtain the whole combination, right? Well, not so much. Just like most of the time when we want to weight two masses we can sum their weights individually to obtain the same value we might get when putting both of them into a scale, most of the time we might just sum partial finite-element results. If we individually weighted two protons and two neutrons on the one hand and one $\alpha$ particle (i.e. a ⁴He nucleus) we would definitely not get the same result. | |||
| Let us both (i.e. you and me) make an experiment. Grab a FEM program of your choice, get a square-sectioned beam of any size and length, fix one of the ends and put an uniform vertical load in the top surface. In my case, I have a square section of 1mm\ $\times$\ 1mm and a cantilever length of 10mm. A vertical load of 10N uniformly distributed in the top surface gives a maximum displacement of and a maximum Von Mises stress of | |||
| https://caeplex.com/p?9c1 | |||
| no era que todo era lineal y podemos sumar todo? | |||
| si y no | |||
| @@ -525,7 +531,7 @@ two cubes | |||
| ## A parametric tee | |||
| ## Bake, break and shake | |||
| ## Bake, shake and break {#sec:break} | |||
| # Fatigue | |||