Recent content by NumericalFEA

Here is one that contains the information you requested plus a lot of computer codes (on CD-ROM) that you could run: https://www.amazon.com/dp/0646930818/?tag=pfamazon01-20 The authors of the book have also a webpage devoted to it: http://members.ozemail.com.au/~comecau/quad_shell.htm

Try this: one leg is completely "fixed" (presumably you are dealing with a plate-and-rods model, so each node has six degrees of freedom), the other legs are not allowed to move in the vertical direction, but free to move otherwise. That's the simplest approach that would ensure that the model...

I am glad to hear that. Good luck !

https://www.amazon.com/dp/0486664228/?tag=pfamazon01-20

If you need just a course that would give you a "taste" of the ODE, without too much theoretical stuff, but with a lot of insights into the subject, you can try the following: https://www.amazon.com/dp/0534385141/?tag=pfamazon01-20 (there are also other editions of that book; and also, there are...

Differential geometry is a huge subject; different branches of physics use different parts of that subject. There is a variety of books covering this topic, as stated by one of our colleagues above. In case if you are looking for really working algorithms and software implementing methods of...

In the third case, the body is not in equilibrium (unless some kinematic boundary conditions are applied), because it can rotate anticlockwise. In other words, this problem falls outside of the scope of the mechanics of deformable solid bodies. .

The most comprehensive ever resource on buckling in the whole internet is there: shellbuckling.com

Аs long as the load is symmetrical with respect to some plane passing through the center point, you can work with just a half of the sphere. In that case, the center point will be exposed. However, there is also a very important thing to do: each of the nodes that belong to that plane of...

Analytical solutions for large displacements mean that the relations between strains and deflections are non-linear. From the mechanical point of view, when the edges of the plate are jammed, non-linearity naturally leads to the fact that membrane (tensile) forces appear, which significantly...

When there are no constraints applied, the global stiffness matrix becomes singular, so no solution can be obtained. If you know for sure that your solid sphere is in equilibrium and if you believe that the loads' distribution is such that the geometrical center point of the sphere remains...

You have a geometrically non-linear problem, i.e. the membrane forces cannot be ignored, since they contribute (significantly) to the deflections and to the overall stress fields. The way to go is to use a commercial-quality FEA system.

The problem with this structure is that near the point where two steel tubes are anchored to the concrete foundation, very large local internal stresses will appear, due to wind from the left. That may have two consequences: (a) local stresses in the concrete would be so high that the concrete...

There is no simple formula for that problem.

One way is to use an analytical solution; you would probably find some useful formulae in the works of Stephen Timoshenko, who published several books on the topic. Another approach would be to use a finite element program, for example like the one described below (the link also contains an...