All Questions
Tagged with mechanical-engineering solid-mechanics
111
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Why are the indices of term of the Cauchy Stress Tensor and Maxwell Stress Tensor opposite to each other?
For CST (https://en.wikipedia.org/wiki/Cauchy_stress_tensor), the first index represents the plane and the second index represents the direction:
For MST (https://en.wikipedia.org/wiki/...
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2
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301
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Why do two simply supported beams stacked on top of each other deflect more than a single beam of twice the thickness?
If the thickness of each beam in the stacked configuration is 't', the thickness of the single beam is '2t'.
Explanations in terms of Euler Bernoulli beam theory, or any other explanation that is ...
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31
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How to find the displacement at each interface of a composite structure subjected to shear force?
Imagine a block made of 3 horizontal layers of 3 different materials (shear moduli S1, S2, S3) and fixed at the bottom surface.
If I apply a displacement 'x1' (or shear stress 'V1') to the top layer, ...
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53
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How to find out the strain distribution of a block in a simple compression test?
I am performing a displacement-controlled compression test on a square block, where the top of the block is attached to a fixed plate, and the bottom of the block is attached to a movable plate that ...
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89
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Thin wall pressure vessels: local stresses in bends
How can I calculate the stresses in corners where different geometries meet?
This image is a quick example of the positions i am referring to.
Additional information
In class we studied the membrane ...
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68
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Why carrom coins have the circular profiles on them?
Why do carrom coins have these circular profiles on them? At first I thought that this will reduce the friction as area reduces, but quickly recalled that friction for solids don't really depend that ...
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2
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210
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Problems in the application of the first theorem of Castigliano for a cantilever beam
I'm having contradictory results while applying the first theorem of Castigliano for the cantilever beam shown in the figure above. Due to P and the restrictions on point $B$, it will have a bending ...
2
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87
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Thermal Expansion and Stress in a Heated Beam
Consider the case of a beam that is supported in such a way that expansion can occur freely. Suppose that the beam is heated in such a way that the temperature varies with the depth of the beam. Let $...
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51
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Using Strain Tensors to Recover Stress Tensors
Disclaimer:
I am very new to the field of mechanics, my background is in electrical engineering. I apologize in advance if anything is horribly wrong.
My references are:
"First Course in FEM, 4th ...
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52
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Potential Problems of Excessively Hard Shaft
Will there be any issues if we make the shaft too hard?
Hardness being a surface property may prevent surface scratches and wear, could it lead to any problems in general?
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In the context of Beam Deflections If the moment curve has a discontinuity, how do we account for it in the slope and deflection curve?
In reality if we load a beam within the elastic range of the material, it forms a curve that can be represented by a mathematical equation. But if the moment curve has a discontinuity it must mean ...
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191
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Doubt related to S-N curve
S-N curve is drawn from the results of fatigue test and fatigue test is conducted under completely reversed bending stress condition on a standard specimen. Is there any reason for conducting the test ...
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112
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Why does the torsion in a circular bar result in shear stress along the axial direction?
In the case of pure torsion, how does a differential area on cross-section of the cylinder with dx length undergo a shear force that is perpendicular to the cross-section ?
I can understand that a ...
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58
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Which CNC gantry support shape is more ridgid?
I'm in the process of designing a small CNC. There are two styles of side plates for supporting the gantry. The first one has an angled corner cut on the front, while the other has a backslash shape. ...
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How to find Tensile Modulus of a layer of Plain Woven GFRP with GSM of Fabric given
I need to Input "E" the tensile modulus for analysis of a composite layer made from Plain Woven E-Glass Epoxy composite material.
I know the GSM (g/m^2) of fabric is 106.
Using GSM =106, ...
