New answers tagged solid-mechanics
1
Not if the loading in the x-direction is uniform and causes uniform compression deformation in the x-direction.
It will just cause strain in the y and z-direction.
But if there is any constrain on the part not allowing it to expand laterally then there will be lateral stresses.
Here is a Link to article. in Wikiwand on the subject.
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2
It should be obvious that your examples will have stress components in the X and Y directions (assuming the structure is in the XY plane and the thickness is in the Z direction.)
Think about the boundary conditions around the curved edge. The stress component normal to the boundary must equal the external force normal to the boundary, which is zero.
So ...
1
IMHO there is not an easy way to answer this. The short way to answer is that if there is strain there is stress (and vice versa). However there are a few exceptions.
The most prominent example are thermally induced strains (that is something that I intended to write in the initial answer but I missed out). Thermally induced strains in an unconstrained ...
1
You have to break the ground acceleration, $u_{gt}$ into simple segments like what your book example has done. The k if not given can roughly be estimated as a cantilever beam $k=\frac{3EI}{L^3} \ $ or calculating the force applied on top that causes the structure to deflect one unit.
There are some worked examples to calculate the stiffness of a complex ...
2
I don't have the book so I don't know what the author means by "Methods Based On Interpolation of Excitation."
Practical methods for computer simulations can be based on Duhamel's integral. The idea is to find the impulse response of the system (which is simple for a damped SDOF model of the structure) and then apply an impulse to the structure at ...
1
The natural frequency of the system is given by
$$\omega_n=\sqrt\frac{k}{m}$$
So k and $\omega_n$ are related. There is no contradiction.
1
I tend to use SolidWorks assembly to trial and error these types of assemblies, then worry about how to make it work. Constrain (Angle and Distance) the crap put of components to start and remove them as components are interconnected.
Following the process I outlines in the comments:
Platform: 100mm.
Upper Arm: 105mm by 50mm, Angle 90°. The dimensions you ...
0
Hook's law is a first-principled behavior that models the elastic force-distance relationship for axial stretching or compressing of two coupled objects. It is one of the easiest models to use for the behavior of chemical bonds between two atoms or two molecules. It is the common standard to model the behavior of springs. Hook's law can also be extended to ...
-2
In the plastic range, the stress-strain relationship is non-linear as shown in the graph below. With consideration of geometric changes after yield, the true stress-strain curve (dotted line in the graph) shall be used instead of the normal curve, and non-linearity needs to be considered in the analysis.
Note: Due to the shrinking of section area and the ...
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