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Confusion in deriving von Karman equation for strip rolling

In the derivation for von Karman equation for metal strip rolling, an infinitesimal element is chosen as shown in the picture above. The equilibrium equation for the element is as follows: Upon ...
Utility ZC's user avatar
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8 views

Does the magnitude or range of interaction of a force affect which layer dominates the mechanical response of a multilayered structure?

Suppose I have a two-layered material, with a stiff and thin outer layer (high E) and a soft (low E) and thick inner layer. Intuitively, it feels like the effect of short-ranged forces (e.g., van der ...
SNIreaPER's user avatar
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4 answers
56 views

Why does restoring force of a spring vary directly with elongation or compression?

The restoring force is electromagnetic in origin, having to do with atomic/molecular interactions. Both electrostatic as well as magnetic forces vary inversly with the square of distance. $F_{_{EM}}\...
Nietsniewton's user avatar
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1 answer
93 views

How to go from a metal sheet to a metal box using (set of) dies only?

As a hobbyist, how to go from a metal sheet to a metal box (1 hollow side) by using (set of) dies only? All videos I watched involved : bending 1 side at 90° then A) cut twice and discard a square ...
v1nce's user avatar
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22 views

Fracturing and Necking

I am trying to model the deformation of an object after it has surpassed its UTS, before its ultimate failure, what formulas/methods are used to calculate this? My assumption is they have to do with ...
Jack's user avatar
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1 answer
13 views

Deformation in nano timescales for stress > UTS

I am investigating the deformation of high-strength carbon steel past its UTS, subject to extreme pressures of order 1e+19 Pa, but applied in small timescales (100-500 ns). For a material, such as ...
Jack's user avatar
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0 answers
12 views

Deformation Under High Pressure

If a FEA model suggests that a material deforms in a certain way for a max pressure of 1e+11, 1e+13, 1e+15, can it be suggested that the same "direction" of deformation would be true? I have ...
Jack's user avatar
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0 answers
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Ansys Mechanical Section Plane Error

I'm attempting to make a deformation analysis for a specific scenario in Ansys Mechanical. Everything seems to be fine, but when I try to use a section plane, the deformed region appears to be 'hollow,...
Mohamed Obeid's user avatar
5 votes
1 answer
136 views

Creep of the materials

Does creep exists for all materials at any stress at room temperature? I searched for this and could not find any answer other than creep isn't significant at low stresses and low temperatures. What I ...
Duke William's user avatar
1 vote
5 answers
75 views

Describing 180 degree arcing/deflection of wire supported vertically at one end

I am trying to understand how to describe and calculate the shape a length of piano wire makes from its own weight when supported vertically at only one end. Is it a catenary or a parabola? ...
Rafe Copeland's user avatar
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1 answer
18 views

Calulating the compression deformation using strain data measured by strain gauge _ material engineering

I'm studying material engineering and conducting some experiment. The experiment was measuring the strain of long steel bar. The bar is compressed from left side and deformed shortened. Using strain ...
조범희's user avatar
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1 answer
77 views

Beyond the codes maximum deflection in primary Aluminum beam

we had a alum pool enclosure built that has a primary beam carrying the roof trusses across it's length. the primary beam is a 4x8 bx beam spanning 43'between supports. the beam has started to show ...
Thomas Miller's user avatar
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2 answers
207 views

Maximum Deflection for simply supported beam under arbitrary triangular loading

I am trying to get the: maximum deflection location of maximum deflection deflection at any point For a beam under an arbitrary triangular load (i.e. a, b, c, and w can vary). I tried to solve this ...
StringTypeGroup's user avatar
0 votes
1 answer
24 views

Can stress tensor be defined on feature edges?

Assume a rod is being extruded out of a cylinder by pushing the cylinder into a hole (See Figure below). Do the feature edges (or corners in 2D) cause the traction (the surface force) to be ...
Naghi's user avatar
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175 views

How to calculate the spring force of a rolled piece of steel?

If you have a steel sheet and then curled it to the point of being a semi-circle with a 30 degree (pi/6) gap from completion (...
zealousProtoype 's user avatar
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1 answer
2k views

Rotation Matrix for a Stress Tensor Matrix

In my engineering mechanics course, I came across the following rotation matrix, for a stress tensor, for a counter-clockwise rotation. However, this is completely different, actually a transpose of ...
Armaan Mohammed's user avatar
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1 answer
175 views

What would happen if we applied a stress greater than the yield stress to a rigid-perfectly plastic material?

Say we had a material that was rigid perfectly plastic, with a stress-strain characteristic as shown: Say that we are drawing this material through two dies, something like this: What would happen ...
VJ123's user avatar
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2 answers
170 views

Should the stiffness of this cantilever beam be different for these two conditions?

So, I was just doing some Finite Element Analysis (FEA) to figure out what would be the effect on the stiffness of a cantilever beam if another beam is attached to it on its free end. Below shows the ...
Rameez Ul Haq's user avatar
1 vote
1 answer
57 views

Is it possible to calculate the strains applied by a force on a molecule? [closed]

This question was originally in the Physics site, but the moderator believed it was better suited for this site. Hence, I am following the advice. Is it feasible to obtain the modulus of elasticity ...
Evamentality's user avatar
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0 answers
89 views

How they derive The Green strain tensor?

in this paper they give the deformation tensor and the green lagrange tensor without explanation i have some difficulties with tensor calculus ,Especially dyadic product can some one explain it in ...
farid's user avatar
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1 vote
4 answers
65 views

Will A Material Plastically Deform If you Slowly Apply a Strain That Would Normally Exceed Its Ultimate Tensile Strength

Lets I have a material with ultimate tensile strength $S_{UTS}$. Lets say $S_{UTS}$ is produced by strain $\epsilon_{UTS}$ My question is, if the material is strained such that it achieves $\epsilon_{...
Terry Price's user avatar
2 votes
1 answer
280 views

Is the calculated shear strain in a beam, engineering strain or tensorial strain?

Recently I came across a FEM code of a linear deformation beam element, and it made me wonder what is the correct relation between shear stress and shear strain in a beam element. In the beam element ...
Saeid's user avatar
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0 votes
1 answer
112 views

Applying forces from the inside of a bar

I was reading Schaum's Outline: Strength of Materials (fifth edition) when I came across this solved example problem from the Tension and Compression chapter: The solution was clear to me, however ...
Tammikēlu's user avatar
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0 answers
33 views

Model for dynamic plate deformation

I would like to gather ideas to model the dynamic behaviour of a plate with variable thickness. The assumption are: Small deformations. The plate is all made of the same material with variable ...
Worldsheep's user avatar
1 vote
3 answers
1k views

How to measure the stiffness of a rectangular beam, and compare it to a triangular beam?

I'm an amateur at engineering, working more on musical instruments, and I'm often in confusion regarding what exactly constitutes stiffness of a beam for a load applied on it so it could resist ...
Aecarvalho's user avatar
0 votes
1 answer
276 views

deformable object squeezing

I have the problem following. There is a deformable sphere with radius r. It goes inside a constriction channel with d*d cross section. Assuming that the sphere volume is constant and the sphere shape ...
user15847's user avatar
6 votes
1 answer
185 views

How to calculate the adhesion I need to keep a 3D printed bending part straight?

3D printed parts cool down during printing, resulting in thermal contraction which causes a bending moment and separation from the printing bed. The issue is solved by increasing adhesion to the ...
FarO's user avatar
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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 ...
mike's user avatar
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0 answers
17 views

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{...
mike's user avatar
  • 161
6 votes
2 answers
168 views

Yield properties of plastic material

What is meant by yield of isotropic plastic material? How is yield of Isotropic plastic material different from the term normal yield which is referred as transition from elastic behaviour to plastic....
John's user avatar
  • 87
1 vote
2 answers
103 views

How can I describe cold work and atomic structure?

A copper wire (42 cm x 0.25 cm diameter) twisted to failure did not change its dimensions significantly. How can I visualize or quantify the cold work done (tensile at the exterior, compressive in the ...
Jim Gaidis's user avatar
-1 votes
1 answer
60 views

Deformation and stress in moment of hit (Ansys)

This how task goes: i need to find deformation and stress of piston in moment of hit between piston and tool (tool is stationary). Velocity of a piston is (5-7 m/s) and forces are in picture below. I ...
condexter's user avatar
0 votes
1 answer
64 views

what is issue with my room brick wall? How can i solve it?

I have seen a sort disformation on wall of my room I have attached snapshot of both inside view(from inside room) and out side view(that is out of room) inside view is below out side view is below
DSP_CS's user avatar
  • 273
0 votes
1 answer
56 views

what is the range of the measurable relative elasticity with a commonly used strain gauge

I'm looking for a data that what is the typical application range for a common uni directional strain gauge like used in weight scales? I've read about around 200 ppm in a research gate article, can ...
Hegedus.Cs's user avatar
1 vote
2 answers
1k views

Why torsional warping does not occur for shafts with circular symmetry?

When we twist a shaft/beam/rod, shearing stresses are produced. The angle by which the end of the shaft rotates can be found as: $${\displaystyle \theta ={\frac {TL}{GJ}}}$$ where $T$ is torque, $L$ ...
S. Rotos's user avatar
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9 votes
2 answers
12k views

Why is tensorial shear strain half of engineering shear strain?

Small deformation shear strain $\gamma$ in engineering can be expressed as $$\gamma_{xy}=\alpha +\beta ={\frac {\partial u_{y}}{\partial x}}+{\frac {\partial u_{x}}{\partial y}}$$ where $u$ ...
S. Rotos's user avatar
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1 vote
1 answer
106 views

Calculate Rolling Resistance Experimentally

I am trying to calculate the exact rolling resistance ($F_{rr}$) of my car. The approach I am going with is a coastdown test at a low speed so no drag slows down the car. From there I am going to ...
ttg's user avatar
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0 votes
0 answers
34 views

Displacement of Gaussian point after structure simulation

When we did the simulation, we would get deformation and got each nodes displacement. In physics, it shows the trajectory of a system of particles of the objects. Is it the same as the displacement ...
yuxuan's user avatar
  • 149
0 votes
1 answer
93 views

Understanding plastic deformation

Is understanding tensors a prerequisite for understanding plastic deformation (metal forming) equations, plane stress, plane strain conditions, etc..? If so which book should I use to understand ...
user avatar
2 votes
0 answers
11 views

What degree of open span/narrow support can rigid PIR thermal insulating foam sustain under the short term load of setting concrete?

I've found data related to the deformation and shear performance of typical PIR (polyisocyanurate) foams such as Celotex/Kingspan, but I'm not sure how to use these figures in my own situation. I am ...
Stilez's user avatar
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2 votes
2 answers
387 views

Deflection of a stack of disks under applied force/pressure

I'm trying to calculate the deflection of a stack of metallic disks, when subjected to a force. In the case of the figure below, representing a valve for a shock absorber, the force is due to a ...
André Almeida's user avatar
2 votes
3 answers
2k views

Springback after a plastic deformation

Before the yield point, the deformation is elastic, and then it is plastic. But what happens to the elastic 'part' of strain after the load is removed? Is it retracted fully or partly, and how does ...
Tsayper's user avatar
  • 123
1 vote
4 answers
862 views

deformation / bending problem with anodized aluminium panels

I recently had a machine shop machine some aluminium panels (3mm thickness) which I then sent to an anodizing shop where the panels were bead blasted and anodized. When they came back they were ...
b20000's user avatar
  • 113
1 vote
2 answers
4k views

Beam deformation under trapezoidal load

Can somebody help me find the equation for the deformation of a simply supported beam under trapezoidal load (with intensity Q1 and Q2, at starting point X1 and end point X2)? I am trying to find it ...
Joel Larsson's user avatar
1 vote
0 answers
32 views

How to calculate a global strain from a field disitribution

For an arbitrary articulated structure subject to non-affine (non homogeneous) deformations, the components of the strain tensor are defined locally. Is there a way to calculate a numerical strain ...
GeoArt's user avatar
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2 votes
1 answer
52 views

Behavior of materials on application of tension

Does a test body subjected to a strain that causes plastic deformation still have elastic recovery?
user32720's user avatar
  • 121
1 vote
2 answers
293 views

Increasing the stiffnes of a structure by adding stiffener, but at the same time reducing main surface thickness

Let's say I'm designing a table surface which has to be stiff, rigid, but at the same time, not too heavy. It is rectangular in shape and ratio of length:width is quite large. It is only supported on ...
JohnDoe's user avatar
  • 48
2 votes
2 answers
2k views

Computing strain in beams

I am studying this problem: The rigid bar ABC shown in Fig. P-212 is hinged at A and supported by a steel rod at B. Determine the largest load P that can be applied at C if the stress in the ...
mc8's user avatar
  • 121
0 votes
1 answer
95 views

Is there an standard description for deformation at each point on a body?

I'm trying to come up with a way to describe deformation on a body at each point on that body. My problem can be expressed and solved in two dimensions. Given two triangles, one being the initial ...
subb's user avatar
  • 101
1 vote
1 answer
177 views

Possibility of buckling in non-slender member?

The above diagram is misleading. In reality, both the length and thickness are equal to 8mm. As this is from a past paper (one notorious for awkward questions), I'm not sure if it's a typo (an 8m ...
user120568's user avatar