Questions tagged [solid-mechanics]

Solid mechanics deals with the solid bodies subjected to various type of loading and internal forces generated due to this loading.

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Does numerical dissipation in FE simulations affect system's elastic energy? Does it depend on thickness?

I am running a finite-element simulation in Abaqus, for which I also have a theoretical model. To be precise, I am simulating wrinkling in a thin annular sheet, with shell elements. The model makes a ...
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61 views

Would poisson's ratio also result in stresses in lateral directions?

This is kind of like a basic question which students might ask in their bachelor's level of education, which I want to refresh my knowledge about. So if I apply a load in a single longitudinal ...
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60 views

Compute deformation response history from ground motion

I'm reading a book of Anil. K. CHOPRA related to Structural Dynamics, I'm intending to obtain the deformation response spectrum from given ground motion. What I have here in hand is ug(t) ground ...
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56 views

Spherical Parallel Manipulator in SolidWorks

I need a little help with SolidWorks. I need to assemble such a mechanism, which I am currently working on. But I get a rather complicated and cumbersome algorithm: First, I build a "wireframe&...
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30 views

Why is plastic deformation a non-linearity if I am using Bilinear hardening to model it in FEA?

Attached you may find a picture for isotropic bilinear hardening up until the ultimate tensile strength. The first line is the elastic region while the second one is plastic. I couldn't understand ...
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39 views

Why do we have two different Elastic Modulus in Tension and Torsion?

I was trying to get a value for elastic modulus for 316L stainless steel material from internet, and I saw a brochure online which was giving two different values for elastic modulus, one in tension ...
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Which yield strength should I use in FEA in ANSYS; Engineering or True?

Attached is a figure to illustrate the difference in the value of yield strength as observed from the true stress/strain curve and engineering stress/strain curve. While conducting FEA in ANSYS for a ...
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42 views

What happens to load bearing capacity during the plastic region for a ductile material?

Attached is a picture of a typical isotropic ductile material. Can anyone please tell me what happens to the load bearing capacity in the structure in each of the sub-regions under plastic deformation,...
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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 ...
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64 views

Boundary condition at supported end of a rod

I have one end of a rod held in a hole of a 'rigid' part with no clearance, while the other end is loaded with a force. I have shown 3 simple reaction-force models in the picture. If my intent is to ...
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60 views

Calculating the von mises stress in a 3D beam when given stresses and moments on both ends

I want to calculate the von mises stress in a given structural member. I want to generate a von-mises plot from this data. The forces are according to the local coordinate system of the beam. Also, I ...
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1answer
30 views

Neutral axis and 2nd moment of area [closed]

Does anyone know how I would find the horizontal neutral axis (yc) and 2nd moment of area of this cross section? (R = 210 mm) I know that and that there needs to be the same amount of area on either ...
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183 views

Do all structures deform if put a load on them?

Suppose I have a concrete wall in front of me and I push on it, now it seems that I do work and the energy has magically disappeared. I am trying to figure out how this works, the explanation I ...
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How do I start determining the forces in the 3 bars?

For part A I have $\Delta$A + $\Delta$B = $\delta$. For part B I've tried summing forces at the joints but keep getting lost. Any help is appreciated my final is on Friday.
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Why is it more convenient to express stress tensor in Material rather than Spatial coordinates?

I was reading chapter introduction about Stress and the author wrote the following about stress tensors: "Since the current configuration of many problems, especially those involving solids, is ...
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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 ...
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38 views

Modeling composite material fibers orientation in a FEA

I am looking for guidance for analyzing composite materials that are reinforced by fibers of some sort. A good mental model would be bars of steel in concrete. The concrete will have its own physics ...
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Why doesn't the Stress Power in the theorem of the expended mechanical power contribute to the kinetic energy?

The following is the formula of the expended mechanical power: $P(t)$ $=$ $\frac{d}{dt}$ $\int \frac{1}{2} \rho\ v^2 dV$ $+$ $\int \sigma \colon d\ dV$ where $P(t)$ is the mechanical power entering ...
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Can FSI analysis be linear on the solid part? [closed]

Is the FSI analysis always considered Nonlinear or the solid part analysis can be linear too?
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What's the difference between linear and nonlinear continuum mechanics?

I have been recommended to read a book about nonlinear continuum mechanics, but when I have taken a look at the table of contents, I found myself familiar with most of the concepts in the book since I ...
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1answer
94 views

Infinitesimal Strain Tensor in Cylindrical Coordinates

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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21 views

Sprocket Angular Velocity [duplicate]

I have a question please that I need help on. Consider the chain that is draped over the sprocket with mass moment of inertia of 0.005kgm^2 about central axis. If 4kg block is released from rest from ...
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29 views

How much is the braking torque of this belt brake?

I just thought of a mechanism that has a belt brake, but I cannot calculate the braking torque. On the picture, the middle black shaft is stationary, and the blue is rotating with ω1 speed. The green ...
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38 views

How much weight can a cardboard of size $n \times m$ hold? [closed]

I am interested in knowing how much weight a piece of cardboard can hold in proportion to it's size. Suppose we have independent variables $x$ and $y$ corresponding to length and width and that these ...
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1answer
53 views

Stretch in Infinitesimal strain theory

In the picture above we have the expression of stretch with respect to strain tensor, but in case of infinitesimal strain theory, we take stretch equal to 1+T.E.T I don't understand why by taking ...
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1answer
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What should be the relation between flange length and web thickness for an optimum I - beam?

While learning about I-beams I became curious to know if there is any relation between the flange length and web thickness of I-beams or if its arbitrary.
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What's the difference between Strain tensor and deformation gradient tensor?

Why do we need to define the strain tensor if we already have a tensor that describes the deformation between relative particles in the continuum which is the deformation gradient tensor?
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1answer
51 views

Confusion in the Lagrangian description of Material Surface in Continuum Mechanics

In Lagrangian or Material description, the physical properties are described in terms of the material coordinates and time. It focuses on what is occurring at a fixed material point (or particle) ...
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Rearranging to find Vmax

I have a solution to a problem on the mechanics of materials. For the last step to find the deflection Vmax I am not sure how equation (15) was simplified to get the answer shown below:
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1answer
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Want to simulate a mechanism with spring in it for forces acting in different direction (Kinematics). How to do it using solidworks or ANSYS? [closed]

Thought of using motion study in Solidworks but not able to account for forces at the different axis in it here is the image to better understand it. There hasn't been any progress with the ...
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51 views

Why is the displacement gradient tensor equal to zero when the motion is pure shifting?

In this video at 6:15 https://www.youtube.com/watch?v=ZO8P2iiQGDc By calculation, it is clear that displacement gradient tensor equal to zero when the motion is pure shifting (no change in shape). ...
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Resultant of coplanar forces

I have a question that goes thus. At what angle $\theta$ must the $500N$ force be applied in order that the resultant $R = 1000N$. For this condition what will.ne the angle $\beta$ between $R$ and ...
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1answer
204 views

How is it possible for trajectory and streamline to coincide in case of stationary velocity field?

In continuum mechanics, the definition of trajectory or pathline is the locus of the positions occupied by a given particle in space throughout time. And streamlines are a family of curves which for ...
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39 views

What is the angle of twist in end point A?

Can anyone please explain this question to me? I am okay with answering a gear assembly with 2 gears at a time. But the third one here is confusing me.
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1answer
41 views

Why does local derivative and convective derivative only apply to spatial descriptions?

In continuum mechanics, why does local derivative and convective derivative only apply to spatial descriptions? Is it because in the material description, the motion focuses on the particles, and not ...
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23 views

Help in synthesizing cam profile (oscillating cam and oscillating follower)

I am using Matlab to plot contour of the cam. So far, I understand how to use angular displacement relation between cam and follower to get the profile, pressure angle, torques etc. What I aim to do ...
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1answer
19 views

I need something similar to a 3“ to 5” curtain tension rod to fix my popping air ducts

The air ducts in my house have a couple of places where they make popping sounds as they expand while heating, one of the loudest ones is annoyingly in my bedroom. I know by pressing around where I ...
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Stress Tensor components

Given an equivalent stress vector(or Traction vector) in a plane stress state, how can one determine the 3 components of the 2*2 Tensor matrix, i.e. sigma_x, sigma_y and tau_xy?
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Stress Transformations

In plane stress state: How can one comment about the state of stress for the given condition? I am not sure but I guess that we can use the principle of superposition. Though I do not know how can I ...
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Definition of Mass in Multiple Mass Oscillators

In an exam on seismics and earthquake proof design I had a couple of days ago, there was a question on multiple mass oscillators in the form of a simply supported beam of length $L$, stiffness $EI$ ...
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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 ...
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51 views

Transformation of 8mm straight motion to 210 degree motion

Everyone. I want to make the transformation form Straight motion to Rotational motion ,like [this].1 So I made . But it did not work. Probably, this was mistake of Groove size on spiral groove. But ...
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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 ...
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186 views

How to calculate failure stress on a hollow pin loaded in shear

Calculating limit stress on a solid pin loaded in shear is straightforward, and there are several handy calculators which will do single shear and even double shear. However, everything I have found ...
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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 equations of motion, $...
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3answers
121 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 ...
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Calculate the residual stresses in the bars and the residual displacement of the $ C $ point when the $ P $ force is removed

Consider the rigid bar $ ABC $ linked to two bars, $ AD $ and $ BF $, as shown in the figure. All bars are made of mild steel which is admitted to be an elastoplastic material ($ E $ = 210 GPa, $ \...
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Quantifying the amount of structural/hysteretic vibrational damping that occurs in proportion to deformation? (ie. Based on how “bent” something is?)

Three different conceptual types of vibrational damping forces are described here: Viscous: $f(t) = -c \cdot v$ Coulomb: $f(t) = -c \cdot \text{sgn}(v)$ Structural: $f(t) = -c \cdot |x| \cdot \text{...
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Determine the value of the largest $ P $ load that can be suspended at the $ E $ point without the vertical displacement at that point exceed 0.25 mm

The figure represents a rigid bar $ BCE $ connected to two steel ties $ AB $ and $ CD $ ($ E $ = 200 GPa). The rods are connected by joints at the ends and have a uniform cross section of 6 $ \times $ ...