Elasticity Definition and 192 Threads

Hi! I know some constitutive models for elastic materials like Neo-Hooke or Mooney-Rivlin, which give a relation between elongation ##\lambda=y/y_o## (where ##y## and ##y_o## are the length of the elastic material in a uniaxial compression test in the direction of the compression at stress ##P##...

I have put together an equation whose purpose is: With a desired 'magnitude of static friction' ( μ_s ), 'fundamental frequency' ( f ), and 'tension' ( T ), initial conditions such as 'string breakover angle' ( Θ_0 ), 'nut-tuner distance' ( L_{h,0} ), and 'string diameter' ( d ), and...

At one point I had been trying to construct an equation which would calculate the tension on a tuned string with a change in temperature (and therefore the fundamental frequency), but found my calculations were wrong. By extension, the purpose of the project was to be able to calculate what...

Dear readers, For a Biomedical Engineering project I have to develop a model for the respiratory system of a neonate. This will be done by using pressure/volume data of the lungs. To model these, I would like to use a rubber balloon. However the calculation are more difficult than I thought...

I read somewhere that elasticity is the measure of the tendency of an object to resist deformation (similar to how inertia resists motion). I also read elsewhere that elasticity is the measure of how well an object returns to its shape/form after removing the applied force. Which...

I am a part C Mechanical Engineering student and have been undertaking a project investigating the strain sensitivity of a particular glass filled composite. From my quasi-static results, the stress-strain curves seem to be reasonable and match that of the mechanical material properties...

Homework Statement I was given a chart to figure out the different momentum and kinetic energies of different collisions (elastic and inelastic) and in the lab he posed the question "Calculate the percent elasticity for each of the collisions." Homework Equations conservation of momentum...

Homework Statement A certain type of concrete has a tensile breaking stress of 3.1 MN/m^2, a compressive breaking stress of 37.7 MN/m^2 and a shear breaking stress of 9.4 MN/m^2. A circular pillar of this concrete has a radius of 0.6 m. What is the maximum load it can support assuming that it...

Hi all, I'm a physicist, and I'm now trying to understand and model a problem with a multishafted cord, being pulled from one side in order to transfer force. The cord has its own elastic properties (elongation, bending etc.), it goes through several pulleys with friction, and most likely its...

Homework Statement So I have to write a report based on an experiment that I have conducted. I know that my report is connected with Simple Harmonic motion and Elastic force, but I do not know how to describe it in a more efficient/scientific way. Essentially, I am dropping a weight (constant)...

Homework Statement After a lot of searching I can't seem to find a way to solve this. Basically, for a bouncing ball, if I know the dropped height and rebound height in a vacuum. How do I calculate the elasticity between the ball and the floor? Homework Equations K = 1/2 mv2 The Attempt at a...

Hi, I have some experimental data and I am interested to use this data to calculated modulus of elasticiy (young's modulus) and Poisson's ratio. The material for which the data is given in an anisotropic material, therefore I need to calculate modulus of elasticity and poisson's ration is x,y...

Hi, I have some experimental data and I am interested to use this data to calculated modulus of elasticiy (young's modulus) and Poisson's ratio. The material for which the data is given in an anisotropic material, therefore I need to calculate modulus of elasticity and poisson's ration is x,y...

Hi all, I'm wondering if anyone knows of a way to obtain elasticity properties (Ex, Ey, Ez, Gxy, Gxz, Gyz, vxy, vxz, vyz) from the terms of a 6x6 anisotropic stiffness or compliance matrix. I'm looking for a closed form solution, preferably. I would think that there should be a closed form...

Homework Statement Grade 1020 Steel has a yield strength of 42ksi and E modulus of 30 mpsi. Another grade of steel has yield strength 132 ksi. What is its E modulus? Homework Equations E=FL/EA This is the equation i should be using to find e modulus I thing The Attempt at a Solution I don't...

I am struggling with a question in my coursework, and would appreciate some guidance. The question is: The component shown in Fig 1 is made from a material with the following properties and is subjected to a compressive force of 5kN. Material Properties : Young’s Modulus of Elasticity – 200...

Given the stress tensor in a point, determine the zero normal stress plane. ...2 3 0 T= 3 2 0 ...0 0 5 ---------------------- Eigenvalues: σ1=σ2=5, σ3=-1 It must be simple, but I don't know how to determine the normal vector of that plane analytically. I know σ=0. t=Tn=σ+τ=τ If normal stress...

Homework Statement The demand for good A is unit elastic. This means that a 5 percent increase in price will ______ A) result in an infinite increase in the quantity of A demanded. B) result in a 1 percent decrease in the quantity of A demanded. C) result in 5 percent increase in quantity...

How can price elasticity of demand for some data help in determining a decision making process in a future pricing policy? I have some data that I want to analyze. I am given prices and demand for different products over a period of time. And I would like to use the price elasticity data to get...

I'm learning about Hooke's law and modulus of elasticity (also known as youngs modulus) but it seems I am being taught it differently in maths and physics. In maths I am taught that T=λx/l and λ is the modulus of elasticity, measured in Newtons. In physics I am taught that T=λAx/l where λ is...

Hello everyone, I see that economists define a formula to calculate how the tax is shared between consumers and suppliers. They call it "Pass-thorugh" fraction: Customers share = (-PED)/(PES-PED) Suppliers share = PES/(PES-PED) However I see this doesn't work when I use it with...

Homework Statement In the fig AB is a wire of diameter 0.6mm and Young modulus of the material 2x10^11Nm^-2. C is the mid point of the wire. How much will the point B go down? Homework Equations Y=FL/Al where L= original length of the wire and l=extension in the wire The Attempt at...

Homework Statement Given a price elasticity of 1.6 and an initial sales number of 10000 what would be the sales number if price went from 4.99 to 10.00? Homework Equations Price Elasticity of Demand = % Change in Quantity Demanded / % Change in Price The Attempt at a Solution...

Hi all, I've got a question regarding a price elasticity problem and a partial derivative. That's what's given for the exercise: So, first of all we calculate all the demand with the given information. Which is: And then we come to the actual problem. (4. b) ) How do they...

Hi. Let me preface this by saying that I know nothing about economics. However, I learned a little bit about the concept of price elasticity of demand (that for something really elastic, if price goes up a little, demand will go down a lot), and I came across an equation relating price, demand...

I appreciate your help with this problem from a Three point Bending Test in Wood samples Homework Statement Force: 2400 N Deflection: 4.3 mm Span: 343 mm Length: 392 mm b: 24.01 mm d: 24.25 MOE: 16445.15 MPa How can I calculate the Modulus of Elasticity with shear corrected...

Homework Statement This is a rather conceptual question, but is there a difference between elasticity and young's modulus? I know that the young's modulus can also be stated as the modulus of elasticity, but is it incorrect to say that a substance with a higher young's modulus has a low...

Young's Modulus of Elasticity Problems - URGENT Homework Statement Calculate Young's Modulus of Elasticity for the three materials using the graphs only. Stress (N/m2) Strain 70 0.06 100 0.11 150 0.22 200 0.35 220...

Here is the question: Here is a link to the question: Calc price elasticity problem and demand? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.

The engineering yield strength, the modulus of elasticity, the original diameter and final diameter of a wire are given. That wire is stretched and it diameter decreases. I am trying to find the engineering strain just before yield and the corresponding true strain. So I assume I will find...

Homework Statement How to calculate the modulus of elasticity algebraically? Especially that of a pine wood rectangular cantilever beam? I have a few measurements here. The area inertia is .413 cm^4, the length of the unsupported part of the beam is at 40 centimeters(the whole beam is around 66...

Hello, I am struggling with this problem. It is probably the easiest problem ever... What I did: The plane has 2 stress components. σn and σs. σn is a multiple of (l, m, k) vector. For σs, I made up a vector (a, b, c) which is orthogonal to (l, m, k). And I equated all vectors. I'm...

Mechanical principles - Stress and modulus of elasticity Homework Statement A 2.2m long steel towing bar of solid circular section diameter of 45mm is expected to carry a maximum load of 210 kN. The safety factor is 4; and for the steel the UTS is 540 MNm-2 and the modulus of elasticity is...

Hello .. I have problem understanding how to decide which material is more elastic based on stress strain curve.. my understanding is as follows 1)if a material has big youngs modulus.. then it is more stiff 2)a material with a big youngs modulus may be or may not be very elastic (elasticity...

Here goes try number two, the forum deleted my last post. :cry: First time poster, so hopefully I'm following the rules, I do apologise if I'm not. I have a problem with my lab report, I would be very grateful if anyone could help. Thanks. Homework Statement I'm writing a tensile test lab...

Homework Statement We have a steel rod with density ρ = 7,90 kg/m^3. When it's horizontally on the floor, it's length is L = 6,00m. The rods surface area A is a circle with radius r=0,04m. Steel has Young modulus E=2,1 \cdot 10^{11} Now the rod is lifted up so it's vertically straight...

The demand function for a product is given by p = 800 -4x, 0 <= X <= 200, where p is the price (in dollars) and x is the number of units. (a) Determine when the demand is elastic, inelastic and of unit elasticity. (b) Use the result of part (a) to describe the behavior of the revenue...

Find price elasticity of demand for the demand function at the indicated x-value. Is the demand elastic, inelastic or of unit elasticity at the indicated x-value? Use a graphing utility to graph the revenue function, and identify the intervals of elasticity and inelasticity. ... I will list...

I have a spherical shell with inner radius a_{1} and outer radius a_{2} I have worked out that the tension at r=a_{1} is \tau=\frac{2a_{1}^3+a_{2}^3}{2(a_{2}^{3}-a_{1}^{3})}P_{1} (P_{1} is pressure from the inside of the shell, causing the tension. Now if the shell is not very thick...

Hey guys, I recently did a compression lab with different materials (wood and pvc pipe) and I have to plot the stress/strain curves given the data collected, as well as find yield strength (0.2% offset), ultimate compressive strength, and modulus of elasticity. I've already calculated...

Deriving the basics of infinitesmal elasticity, I have a proof regarding the physical significance of the strain tensor E_{11} So we are considering a material line element parallel with the x_{1} axis being deformed. At a point in the proof we have du_{1} = u_{1}(x_{1}+dL_{0}, x_{2}...

A Book says, " When a load is acting on a member, it undergoes deformation. An internal resistance is developed against deformation by the member and the intensity of this internal resistance is called stress." I also read, "When a member is in its elastic range, it offers resistance against...

Hi. What is the point of studying Advanced Elasticity course apart from strength of materials/solid mechanics?? One of my friend says that there's no need to study this as the content of this course is rarely used in industrial practice. He says that the (Stress Analysis) Engineers merely use...

I'm looking at the free energy of a body (theory of elasticity) but I can't really square the general expression with the one usually used for isotropic bodies. According to wikipedia (http://en.wikipedia.org/wiki/Elastic_energy), Landau & Lifgarbagez etc the general expression for the free...

Homework Statement A rod with a diameter of 1.00 in and length of 6.0 ft undergoes an axial deformation of 0.150 in when subjected to an axial force of 52.0 kip. The diameter of the rod decreases by 0.0007 in at this load. Determine the modulus of elasticity, Poisson's ratio and the shear...

Homework Statement Consider a metal bar of length L, cross-sectional area A, equilibrium atomic separation x, and Young's modulus E. When a tension force F is applied to the bar, it causes an extension ΔL. Calculate the atomic force constant k by deriving expressions for (a) the number of...

[SIZE="3"]1. Homework Statement : Hello PF! Here are a few problems I'm stuck on. 1. When a tuning fork and a source of frequency 200 Hz are sounded together, 4 beats/sec are heard. When the tuning fork is loaded with some wax, again 4 beats/sec are heard. Then the original frequency of the...

Bare with me as I'm brand new to all of this, and my inexperience may show, but i have what may be a simple question to some of you. I'm conducting a lab experiment in my Materials lab I will be testing the the strength of 3 different Aluminum 6061 specimens. I have an L beam, thin walled...

Hi, dear all, recently study the solid mechanic continuity, keep reading about to solve large deformation of material, you will need so called "finite elasticity" What is this finite elasticity refer to ? "Finite elasticity is a theory of elastic materials capable of undergoing large...

Attached is the graph and small part of table that i have chosen from the elastic range (first column extension, second column load) from a tensile test. I am trying to calculate youngs modulus of elasticity but can't seem to get a figure close to that of the common figure for the material...