Questions tagged [solid-mechanics]

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Confused about one term in the equation for equilibrium of elastic bodies

I am reading this geophysics paper that is trying to explain the deformation of a magma chamber's shell. The basic set up is that we have a sphere at constant pressure $P(t)$ and radius $R1$. We then ...
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1answer
371 views

How is a unidirectional lamina transversely isotropic?

What I don't understand specifically is that if there happen to be more fibers in the $x_2$ direction than the $x_3$ direction, wouldn't that make the material properties in those directions different?...
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1answer
3k views

Meaning of boundary conditions in solid mechanics

The Question is: A uniform horizontal beam OA, of length $a$ and weight $w$ per unit length is clamped horizontally at O and freely supported at A. The transverse displacement $y$ of the beam is ...
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1answer
41 views

Stresses in materials depend on co-ordinate system of choice, true or not?

I was studying stresses and strains and my professor told me that they depend on the co-ordinate system we choose to represent, he also said that as we rotate the co-ordinate system, shears that were ...
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1answer
42 views

Question on elasticity of materials [closed]

What I did: The force applied here is its weight F$=$mg, while m=$\rho l$A, where A = area of cross-section of the wire. $$\text{Y}=\frac{\text{stress}}{\text{strain}}=\frac{\text{$\rho l$A}/A}{\text{$...
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1answer
38 views

Pressure to stress

If you are considering a material that is just sitting on a table, is this material subjected to stress due to the standard pressure (1ATM) of the air around it?
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4answers
156 views

What is the definition of a solid?

What is the definition of a solid? What is the most general definition of a solid? Are amorphous materials (which can creep) like window glass considered solids? Are colloidal substances like proteins ...
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1answer
81 views

Composite bar in series paradox

2]2 Here is the progress and the problem that I encounter. I can calculate the tensile force but it seems like the force cannot exist in the first place ? P/s: I am sorry because I can only pose the ...
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1answer
62 views

How to derive Infinitesimal Strain Tensor in Cylindrical Coordinates [closed]

How can I obtain the below formulas of infinitesimal strain in cylindrical coordinates using matrix calculation given the first formula? I find it hard to study them because I still don't know how to ...
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1answer
23 views

Applied load on a Stapler [closed]

I'm trying to do a finite element analysis on a stapler I created in Solidworks. In order to do this I have needed a set load being applied to the top of the stapler. Any ideas on how I would go about ...
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1answer
25 views

What machine element can we estimate a bicycle rim to be? [closed]

In mechanical terms, what machine element can we consider a bicycle rim to be? Like can we design it based on the assumption that it is a curved beam/ a hoop?
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1answer
85 views

Stress acting at an internal point of a suspended rod [closed]

I've come across a question that asks to calculate the stress acting at the midpoint of a uniform rod (mass $M$, length $l$ and area $A$) suspended at one end: I know that the basic definition of ...
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1answer
191 views

What is the $n$ in the formula in Solid Mechanics? [closed]

The formula is about the critical force for the elastic beam that is supported by its joints: $$ P_{cr} ~=~ n^2 \pi^2 \frac{EI}{ L^2} $$ It should be based on the book Parnes - Solid ...

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