Modulus Definition and 583 Threads

In case FEA we consider ultimate tensile strength to decide whether component will fail OR pass why ultimate tensile strength is lesser than youngs modulus? Example for copper UTS is 245 MPa n youngs moduls 131000MPa. Why it is like this? Regards, Amlesh

I am really finding it hard to work out Young's Modulus. I have my stress / strain graph I was told I should apply a gradient on the graph to work out youngs modulus The strain is in (m) and the stress is in (nm-2) How do I work out the youngs modulus, and what unit of measurement...

This is regarding youngs elastic modulus I need help as I am trying to figure out the stress and strain of an elastic band when a force has been applied - in youngs modulus. Does anyone know how to go about this?

WEIGHT (kg) Length (m) How much it extended (m) STRESS STRAIN 0.1 0.11 0.4 0.2 0.13 0.6 0.3 0.18 0.11 I did an experiment in physics for youngs modulus, I need to workout the stress and strain on an elastic band with weights attached, but I...

Homework Statement Determine m : |x-10|<{1}/{m} if its final form is : |x^{2}+{4}x-140|<1 Homework Equations To remove the modulus, square them... The Attempt at a Solution I have tried to assume that if |x-10|{m}<{1} then, I can find |x-10|{m}=|x^{2}+{4}x-140|...

Homework Statement Find the solution set of \large \frac{|x-1|(x-3)(x-5)^{2010}}{(|x|-3)(|x|+1)} \geq 0Homework Equations I am required to solve this using Wavy-Curve method The Attempt at a Solution The critical points are 3 and 5. But I don't know what to do with expressions involving...

I thought |r| means the positive values of r? Why do they say it means -1<r<1? Also, if |r| means -1<r<1 then why do they say |r|<1 when |r| is already -1<r<1 ?

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...

How do I plot modulus functions in TI-89 Titanium? When I enter y1(x)=mod(x), in the y= editor, an error message turns up saying 'Too few arguments'.

Homework Statement Find all ##z=a+bi## such that: |z|=|z^{2}+1| Homework Equations The Attempt at a Solution I expanded the components. |z|=|z^{2}+1| z^{2}=a^2-b^2+2abi \sqrt{a^{2}+b^{2}}=\sqrt{(a^{2}-b^{2}+1)^{2}+(2ab)^{2}} a^2+b^2=(a^{2}-b^{2}+1)^{2}+(2ab)^{2}...

I am looking for shear modulus (G) for Nitronic 50 or XM-19 High strength hot rolled condition UNS - S20910 and ASTM A276-10 it is surprising for me that material standards like ASME or ASTM does not provide shear modulus data..? even checked "http://www.keytometals.com" and...

Homework Statement Homework Equations Square Packing: V_f = ∏/4(r/R)^2 E=σ/ε The Attempt at a Solution E=10MPa/0.001 = 1x10^4 E_2f=? V_m=? I get stuck here, am I on the right track with this problem? I need some guidance, please!

While doing an assignment on building with spaghetti I have come across the shear modulus. I need to find the shear modulus in order to use the torsion equation. Does anyone have a value for it by any chance?

Homework Statement σ=230MPa (tensile strength) E=15GPa (modulus) ρ=1.85 g/cm^3 (density) Homework Equations Strength/Weight = σ/ρ Modulus/Weight = E/ρ The Attempt at a Solution Strength/Weight = σ/ρ = 230x106 N/m2 / 1850 kg/m2 = 124324.32 (Units?)...

Hello everyone, I'm currently undertaking a work placement at the medical physics department of Leicester Royal Infirmary, investigating the potential application of a novel ultrasound technique in assessing carotid plaque. As part of my research, I'm evaluating the accuracy of the...

Homework Statement A three-legged stool has one leg of aluminium (E = 7 x 1010 Pa), one copper (E = 11 x 1010 Pa) and one of steel (E = 20 x 1010) Pa. The legs have the same dimensions. If the load on the stool is at the exact center, a. Which leg is under the greatest stress? Explain why b...

So I have been dealing with the modulus function for almost a year now , I didn't ran into it many times so didn't really tried to understand it well . But it has started to get a little bit confusing . So if someone helps me I will be really happy . From what I know f(x) = |x| = { x ; x >=...

I know that Young's modulus for a spring is Y= K*L/A where K: is the stiffness of the spring L: the original length of the spring A: the cross sectional area How does this formula change in the case of continuously distributed springs over a ring chain of radius R and a...

Hello, Does anyone have the shear modulus value for Alu Bronze CW307G-R680 Cheers Ben

Homework Statement What is the maximum value of 'n' such that the modulus of pi-22/7 < 10-n? Homework Equations The Attempt at a Solution I have worked out that pi > -10-n + 22/7 , and pi < 10n +22/7. I also know that 10-n is equivalent to 1/10n. I do not know where to go...

Homework Statement Find |exp(√i)|. Homework Equations The Attempt at a Solution I scanned my working as attached, it seems ok to me but I don't understand why it's wrong.. The answer scheme ignores the exp(i sin (pi/4) ) part and writes the answer as exp(cos (pi/4)) =...

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...

I am confused on what is meant by the modulus of a Riemann surface. I have done some very quick searches through my books but haven't found anything. For context I will paraphrase a portion of Penrose's road to reality that I'm reading. In the complex plane construct a parallelogram by...

Why is the modulus of z, a complex number, |z| = √(a^2+b^2)? Why is it not |z| = √(a^2+(ib)^2)?

For expressions like: f(z) = (1+z2)/(1+z4) how does one write the modulus of that in terms of lzl?

Homework Statement Original Cross sectional area 24.63mm^2 original diameter 5.6mm Gauge length 35.07mm Extension length of the point on the graph i have chosen: 0.25mm Force at 0.25mm extension 3500N (or 3.5KN) Homework Equations (F/A0)/(ΔL/L) The Attempt at a Solution I have gone...

is there a simple way to determine the section modulus of a member made of a W and WT shape welded together, one on top of another about the x-axis. the steel manual has the properties for the individual sections; would the section modulus of each be able to be added together or will i have to...

Homework Statement Consider the complex number z=(i^201+i^8)/(i^3(1+i)^2). (a) Show that z can be expressed in the Cartesian form 1/2+(1/2)i. (b) Find the modulus of 4z − 2z*. (z* meaning z-bar/complex conjugate of z) (c) Write 2z in polar form. (d) Write 8z^3 in polar exponential form...

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...

Homework Statement I cannot work out how to calculate my percentage uncertainty for my coursework, i need to show that my second method has a reduced uncertainty than my first, could anybody please enlighten me as to how to work it out. My table for one of the practicals is attached Homework...

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...

Homework Statement Suppose p is a polynomial of degree n and |p(z)|≤M if |z|=1 Show that |p(z)|≤M|z|^{n} if |z|≥1 Homework Equations Maximum Modulus Principle: If f is a nonconstant analytic function on a domain D, then |f| can have no local maximum on D. The Attempt at a...

I have a question Elastic modulus in Tensile test E = L*F / A*△L Elastic modulus in bending test E = F*L^3 / 4*w*t^3*D I think Elastic modulus is changed by size of specimen. I don't know why Elastic modulus is inherent propertie of metal??

Homework Statement Prove |\frac{e^{2i\theta} -2e^{i\theta} - 1}{e^{2i\theta} + 2e^{i\theta} -1}| = 1 Homework Equations The Attempt at a Solution I feel like this should be fairly simple, anyone have any hints? Also this is just one step in an attempt to solve a much larger problem, so don't...

Homework Statement What is the point of using the micrometer in determination of young's modulus of a wire using SEARLES APPARATUS ? [b]2. Homework Equations wouldn't the micrometer measure the cross sectional area of the wire...and here we need to measure the extension. I know it is related...

Homework Statement solve the congruence to the smallest possible modulus. 38x\equiv10 (mod84) Homework Equations The Attempt at a Solution Ok so I thought I knew how to do these but apparently not. So I start out by 38x+84y = 10 Now I think I should find the gcd...

I'm confused regarding why the double modulus sign is used. Let's take the dot product: u.v=|u||v|cosθ The R>H>S means that the cosine of the angle is multiplied witht the magnitudes of both vectors. Now, u.v=||u||||v||cosθ Does this mean the same thing? Help?

Homework Statement Solve the congruence 20x \equiv16 (mod 92) Give your answer to the smallest possible modulus. Homework Equations The Attempt at a Solution so 20x -92y=16 Hence, 92=20(4) +12... gcd = 4 working back, I have -16(-9)= z (mod 92) so z = 52...

Hi, dear all, Recently face some controversial issue with my supervisor and i cannot convince my self too. is it time varying elastance equal to time varying young modulus? Young modulus unit is Pa, however, elastance value is mmHg/ml, is both of them are equal? Young's modulus, also...

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...

This equation is for calculating what and how was it obtained. E=6(mg/bt3)Rs

I am trying to calculate youngs modulus of elasticity for results from a tensile test but can't seem to get a figure close to that of the common figure for the material Material 0.1% carbon steel Area = 20 x 10-6 Yield force = 6009N Length increase at yield force = 0.537mm = 0.000537m Original...

Hi, i just did a unaxial tensile test for a done specimen. What i got is the stress-strain curve, and poison ratio. May i know how can i determine the shear modulus G12 ? I gt E1, E2 and V12 and V21.

Hello, I can't seem to find a reference formulating the Schrödinger equation as a set of two differential equations in terms of the modulus |\psi| and the phase S instead as one diff. eq. in terms of the complex wavefunction \psi = |\psi|e^{i S}. Can anyone show me the way?

Homework Statement length: 15 cm Δlength ? diameter 1.3 cm pressure 17795 pa γ= 2.0*10^11 Nm^2 Homework Equations ΔL=γLA/F The Attempt at a Solution i could not find the answer don' know where to place pressure

Hey all, I've been wondering about a few questions that seem to turn up a lot in math competitions—namely, what are the last 2 nonzero digits of some number x!. I've seen it a lot, and I'm wondering how one would go about solving that? I believe that one can use some modulus techniques to...

Let $f:B(0,2)\to B(0,2)$ be an analytic function so that $f(1)=0.$ Prove that for all $z\in B(0,2)$ is $\left| \dfrac{f(z)}{z} \right|\le \left| \dfrac{2(z-1)}{4-z} \right|.$ What's the trick here? I don't see it.

Im about to hand coursework in. Its the youngs modulus of copper wire We added 100g weights and measured the extension using a traveling microscope. for example at 0.900kg the wire extended by 6.36cm my calculations are Diameter = d 2.7x10-5 m Cross section area A = Pi x d...

One of the discrete Fourier transform (DFT) properties (symmetry property) is that: x^*[-n]_N \stackrel{DFT}{\leftrightarrow}X^*[k] where * means conjugate, and [.]_N means modulus N. What is the meaning of modulus of negative numbers? Thanks in advance

Homework Statement I’m doing some basic young’s modulus homework and I think I’ve solved it but I want other people to give their answers to see if the match my own. Its young are of copper wire. 2. Homework Equations E = stress over strain Stress = applied force (F) over Cross sectional area...