All Questions
Tagged with mechanical-engineering solid-mechanics
41
questions with no upvoted or accepted answers
6
votes
0
answers
148
views
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 ...
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4
votes
0
answers
258
views
How is motor torque related to capstan equation?
I know that capstan equation relates $T_{in}$ and $T_{out}$ as $T_{out} = T_{in}e^{u \cdot F_c}$, where $u$ is friction coefficient and $F_c$ is wrap (slip) angle. In my situation, the capstan is ...
- 51
3
votes
0
answers
61
views
Glass bottle with a prolonged neck that continues into the inner space
Is it possible to create following two shapes from glass using currently known glass mass production techniques?
Shape #1: bottle with a prolonged neck that continues into the inner space, like this (...
- 131
2
votes
0
answers
39
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Shape of a beam that is bowed under compression?
Suppose you have a uniform beam, such as a piece of plywood that is 4 feet long, six inches wide, and half an inch thick. Suppose you cause it to bend by attaching, for example, a string under ...
- 121
2
votes
0
answers
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 $...
- 21
2
votes
0
answers
58
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Magnetic Force - Point of Load
I am using a Magnet like this in an assembly and I am trying to calculate the torque in point P2 (see picture below) resulting from the attraction force F between my magnet and the steel part.
As I ...
- 21
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 ...
2
votes
0
answers
19
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Why the variable "r" appears in circumferential force balance for a membrane
I am trying to understand a force balance for an inflating membrane (reference cited at the bottom of the post) and can't figure out why there is an "r" in the circumferential balance.
The ...
2
votes
0
answers
36
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Deformation gradient tensor from particle displacements in an inflating material
I don't have a mechanics background, but am trying very hard to read and understand how to approach this problem. I am struggling with understanding what's "correct" or the basic process of going from ...
2
votes
0
answers
56
views
Determinating Reactions for the following frame
According to the frame below, the goal is to determine the reactions of this frame in order to draw after the diagrams N, T and M.
The frame is asymmetric by reference at point C.
All reactions ...
- 21
1
vote
1
answer
66
views
What is the meaning of the traction continuity condition in the generalized momentum balance (continuum mechanics)?
In Nonlinear Finite Elements for Continua and Structures by Belytschko and al. it is stated:
As we have already noted, the strong form, or generalized momentum balance, consists of the momentum ...
- 11
1
vote
2
answers
210
views
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 ...
1
vote
1
answer
112
views
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
3
answers
1k
views
how to determine the direction of support reactions in a truss?
Hi, I am not sure how to determine the direction of support reactions at point A and K. I know point A has a pin support, therefore, it can take in horizontal and vertical loads and point K has a ...
user38335
1
vote
0
answers
84
views
Bending stress wave resulting from a lateral impact on a beam
I want to approximate a bending stress wave resulting from a lateral impact on a beam which is on one end fixed.
According to Roarks 16.3-3 I can estimate a compressive stress wave from one mass ...
- 75