All Questions
18
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How to geometrically derive stress transformation equations from Mohr's circle?
Consider the simple case of a 2D stress element with its corresponding Mohr's circle:
Now, for stress transformation using Mohr's circle, we rotate the diameter AB by twice the angle of rotation of ...
- 25
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34
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How to calculate the direction of shear stress due to shear force on a circular cross section?
For a circular cross section, we know that the shear stress due to a shear force at the boundary (the radius of the circle) has to be tangent to the curvature. This is so that we have no radial shear ...
0
votes
1
answer
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 ...
- 104
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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 ...
- 15
1
vote
1
answer
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 ...
- 11
1
vote
1
answer
24
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Is it possible to achieve the same amount of stress for an equal amount of deformation but two different cross sections?
I have a small tube with outer diameter (OD) $R_1$ mm and inner diameter (ID) $r_1$ mm. The tube is bent using a moment $M_1$ to create an angle $\theta_1$ with its plane of origin. The stress can ...
- 187
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votes
1
answer
70
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Ideal design for a long fruit plucking pole
I need to design a long (6-7m) pole for plucking fruits from tall trees.
The following are the requirements:
The pole material needs to be as light as possible.
The pole should not be flexible ...
- 3
0
votes
2
answers
3k
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How to calculate press load for an interference fit with no friction coefficient between the materials (shaft & hub)
Press-fit load calculation always takes friction into consideration and gives you the load expression as follows,
$$F = µ\cdot PA$$
where µ is the friction coefficient, P (Interference Pressure) is ...
- 51
0
votes
3
answers
127
views
Beam with width tending to zero
Suppose a cantilever beam (of rectangular cross-section) subjected to vertical transverse shear load at free end. If I consider any arbitrary cross-section then both bending and shear stress will be ...
- 88
1
vote
3
answers
219
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Can we say that stress strain curve for a tensile test is function of strain rate and temperature?
I am currently studying about tensile test where it is saying that it is conducted at a constant strain rate. Also, it is said that it is conducted at a particular temperature. So can we say that ...
- 43
1
vote
2
answers
214
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Why do I see stresses on the fixed support face of a solid body in FEA?
Below, I have shared pictures of a simple model in FEA. As it can be seen that the face onto which the fixed support is applied, there exists Von-Mises stresses. I cannot comprehend why. Since the ...
- 1,365
2
votes
0
answers
141
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Finding the Shear Center for a Beam with 1 Axis of Symmetry
I am trying to solve this problem of finding the shear center for the given beam and I have found that e = 35.94 mm, however the solution that was shared with me, had the answer of 39.17 mm.
My method ...
6
votes
0
answers
148
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Calculating the bending moment ($M$) of a beam as it relates to stress ($σ$) and strain ($ε$)?
I am trying to learn how to work out the bending moment for progressively complex systems to model a beam. I am assuming only one axis of motion (transverse = $y$).
For the basic equation of material ...
- 161
3
votes
3
answers
324
views
What exactly is Hooke's law defined for?
I used to think that Hooke's law was a relationship between how much a bar under uniaxial loading deformed and the internal force (per unit area) that developed within that bar. But this clearly isn't ...
1
vote
1
answer
1k
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How can I decrease strip tension with bridle rolls in tension leveller? How can I find total elongation after the strip exits initial bridle rolls?
I'm working on a tension leveller design which consists of 3 main sections. These are
Input Bridle Rolls Zone: Increase the strip tension coming out of the decoiler.
Leveller Zone: Strip goes through ...
- 51