Hiperstatic structure
Hiperstatic structure
(OP)
Hello all,
I have a question about hiperstatic structures, someone knows how to calculate a hiperstatic structure like in the attached picture? All the examples I have are in a continuous beam.
Thank you in advanced.
Cheers
I have a question about hiperstatic structures, someone knows how to calculate a hiperstatic structure like in the attached picture? All the examples I have are in a continuous beam.
Thank you in advanced.
Cheers






RE: Hiperstatic structure
RE: Hiperstatic structure
I mean Statically Indeterminate. I know that the equation system would be "huge" but I need first to make a approximation calculation by hand before to implement in the Analysis program. Do you know any method to do that?
thank you
RE: Hiperstatic structure
Statically indeterminate structures this small are pretty easy to solve by hand. Use any of a number of approaches in any structural analysis book. The only somewhat complicated thing is keeping track of of all the variables.
RE: Hiperstatic structure
If not - a much more specific analysis will be required. Think RISA or whatever??
RE: Hiperstatic structure
You need two more equations other than summation of forces (X & Y) and moment (Z).
To do so, remove two restrain, and use energy theorem using unit forces to solve this problem. Check it is in every structure textbook.
RE: Hiperstatic structure
Call the top member and the vertical member under P "the ell".
Call the middle member #2.
Call the lower member #3.
Equating the horizontal deflection in the ell at member #2 to the axial deflection in member #2 gives you one equation.
Equating the horizontal deflection in the ell at member #3 to the axial deflection in member #3 gives you a second equation.
Summing moments about the top left corner gives you a third equation.
That leaves you three equations with the unknowns being N2, N3, and M1. In this case, calculating deflections is the tedious part, solving three equations will be fairly simple.
Having solved them, sum forces horizontally to find N1 and sum forces vertically to find V1.
It would quite likely be a reasonable assumption to say that the axial deflection in #2 and #3 is negligle, but that doesn't give a lot of simplification.
RE: Hiperstatic structure
I will also check and structure book I have found in a library.
Cheers