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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
  • 2,259
9 votes
2 answers
208 views

Material selection for weight scale

I am looking to test the FlexiForce sensor in measure force, however for accurate readings the load needs to be disturbed evenly over the sensing area. As such I am having "discs" made to cover the ...
Anthony Phan's user avatar
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
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
  • 179
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
  • 161
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
5 votes
1 answer
591 views

Axial deformation of variable cross-section member

I've been given a problem which I've attempted to solve, and hope some fellow engineers could possibly see if my approach is correct. We are asked to calculate a column's axial deformation due to an ...
indigoblue's user avatar
5 votes
0 answers
84 views

Are Green strain calculations apt for volumetric strains?

I am trying to calculate large volumetric strains but I am somewhat confused whether Green strain is the right thing to be using or whether I should use good old-fashioned engineering strain. The ...
Munki Fisht's user avatar
4 votes
1 answer
2k views

Difference between 'plastic yielding' , 'plastic yield strength', plastic strength' and 'plastic stress'?

I am going through a literature where these terms are regularly used and I am confused are they different and if yes then what does each term mean? I also want to know relation of plastic strength of ...
Ather Cheema's user avatar
3 votes
1 answer
6k views

Deflection of constrained rectangular plate

Does a standard formula exist for calculating the (maximal) deflection of a constrained rectangular plate that is loaded with a evenly distributed pressure? I found this Useful tables of mechanics, ...
Alexm's user avatar
  • 123
3 votes
2 answers
669 views

Wheel rolling resistance

I think that some of you know what is rolling resistance. It is force that works in opposite direction to roll and is caused due to deformation of tire. It also affects car wheels. There is one ...
Adrians Netlis'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
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
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
2 votes
2 answers
1k views

Solid mechanics: Deflection of a rectangular elastic membrane

I am trying to solve for the deflection $w$ of a rectangular membrane with tension $T$ acting on two opposite edges. These two edges are fixed i.e. $w = 0$. The other two opposite edges are free. The ...
user163917's user avatar
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
2 votes
1 answer
214 views

Finding initial length of a bended plastic sheet (Bend Allowance)

I have a 1.5 mm thick plastic sheet part which hast to be bent at a joint 0.3 mm thick by ~ 10 Deg. I know (found from design drawing) compressed and stretched lengths of the joint. How can I find the ...
miquo's user avatar
  • 23
2 votes
1 answer
1k views

Deformation gradient, strain tensor from cylindrical coordinates

I do not have any engineering background but I am studying some mathematics to try and understand and solve this problem. I have a mesh (M1) in cylindrical coordinates and this deforms into a mesh (M2)...
Sara Jensen'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
  • 123
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
  • 571
2 votes
0 answers
620 views

Impact force with unknown deformations or time duration?

I expected to find more documentation on analytical solutions to determine the contact force between bodies, where deformations ($\delta = \delta_{1} + \delta_{2}$) and impact time ($t = t_{f} - t_{i}$...
OnStrike's user avatar
  • 743
2 votes
0 answers
67 views

What is the load response of a threaded fastener?

Due to the fact that pipe flanges rely on bolts, and bolts rely on friction, it seems obvious to me that in deflecting to meet the load, the nut will immeasurably turn. So my question is - how much? ...
Mark's user avatar
  • 5,333
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
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
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
  • 2,259
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
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
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
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
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
1 vote
1 answer
177 views

From strain to displacement in 3d

I got a question thats been bugging me for a while: Say that you're given a straight square beam (say one meter long), and you attach three strain gauges on each face. One at 0 degrees, one at 45 ...
J. Doe's user avatar
  • 21
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
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 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
  • 11
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
  • 11
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
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
0 votes
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
0 votes
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
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
  • 141
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
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
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
0 votes
0 answers
39 views

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
0 votes
0 answers
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
0 votes
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
  • 101
0 votes
0 answers
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
  • 21
0 votes
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
  • 21
0 votes
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
  • 21
0 votes
0 answers
45 views

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