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Shouldn't any object in air be treated the same way as an object submerged in water? The upward force is equal to the displaced amount of fluid.

The moment increases the closer you get to the base of the tower, therefore more section is required to resist this moment. The moment is generated from tension in the wires, wind on the wires, wind on the pole etc. If no guy wires are used, then the tower is modeled as a cantilevered beam. The...

It is an applied rotation at a point. A moment can be reduced to a 2 force couple. Imagine attaching your car steering wheel to the side of a beam. If you twist the steering wheel to the right, you have applied a moment on the beam at the point the steering wheel is attached. You push down...

The beam has to satisfy statics. A moment is generated in the beam due to externally applied forces, and this moment results in internal forces which also have to be in equilibrium for the beam to be stable. Looking at the cross sectional internal forces, there will be forces causing...

Columns, it is the determining factor for Euler buckling.

So I guess less heat be produced with a ductile material than an extremely rigid one since some of the energy is absorbed in the deformation. But isn't it molecular interaction that is causing the heat anyway?

If you had an infinitely rigid object and threw it against an infinitely rigid wall, where would the energy go?