Modulus Definition and 612 Threads

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

Homework Statement A composite material is made from a matrix with a tensile modulus of 5 GPa and two different continuous fibres with moduli of 360 GPa (type !) and 450 GPa (type B) respectively. a) Derive expressions for the transverse modulus and the longitudinal modulus of a...

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

A straight tube, 1m long, of radius 10mm and wall thickness, is closed at both ends. It is found that when the pressure inside is increased from 10^5 Pa to 10^6 Pa the tube lengthens by 100um. What is the bulk modulus of the material of the tube? Well know that P = -Bdv/V and also that for a...

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...

Homework Statement Find the displacement (mm) in the horizontal direction of point A due to the force, P. P=100kN w1=19mm w2=15mm Homework Equations \tau = G * \gamma \tau = Shear stress = P / A \gamma = Shear strain = (pi / 2) - \alpha The Attempt at a Solution I haven't...

Homework Statement There is a 104kg uniform log hung on two steel wires, A and B, both of radius 1.00mm. Initially, wire A was 2.70m long and 2.00mm shorter than wire B. The log is now horizontal. Note that the centre of gravity (com) is not necessarily centered between the wires and the...

bulk modulus = Δp/ΔV/V Why do we need to divide change in volume by the original volume? why is it important?

I am studying Integer Modulo in my Cryptography and Data Security class. We are dealing with mainly modulo 26 [the alphabet] right now. I understand if it is addition or multiplication you just take the remainder of the result divided by, let's say 26 in this circumstance. ie: (5+25)mod26 = 4...

Homework Statement Find the modulus for: (3 - 4i)^10/(2 - i)^8 Homework Equations The Attempt at a Solution I tried putting the two terms in their exponential forms. Then do simple exponential operations and convert back to cartesian form to get the modulus. 3 - 4i =...

Homework Statement How much force is required to punch a hole ½ in. in diameter from a 1/8 in. thick steel sheet of shearing strength 4x10^4 psi. Homework Equations Shearing Modulus = Shearing Stress / Shearing Strain Shearing Stress = F/A Shearing Strain = S/L S = Length...

I am reading through some calculations in a book that refer to an average shear modulus of steel (19700)... they give no units and it has completely thrown me off track while following through the calcs can anybody help? I know the unit is imperial and if i convert some of the other units...

Homework Statement A rock at the surface has a density of 2600kg(m^(-3) 90000m down its density is 3100kg(m^(-3) Change in pressure at the depth is due to hydrostatic pressure. Whats the bulk modulus of the rock? Homework Equations Δp=p + ƿgh Δp=-B(ΔV/V) The Attempt at a...

Homework Statement how would I draw the graph f(x) = ln|3x-6| Homework Equations NONE The Attempt at a Solution So I know that the graph ln(3x-6) would be a transformation of ln(x) 6 units to the right and the stretch by scale factor (1/3) along the x-axis (i.e: divide all x...

Question: Why is it not sensible to calculate the Young's modulus of the material (steel) when the experiments was conducted? But I thought it should be possible to calculate the Young's modulus after plotting the stress/strain curve. Young's modulus can be found by finding the gradient of...

Hi, I'm trying to more understand the theory behind the shear modulus for various materials and have come across this text: http://www.scribd.com/doc/49116294/Electronic-Basis-of-the-Strength-of-Materials-Gilman-J-CUP-2003 The chapter on shear modulus starts on page 153 and there is a part...

help! can someone explain to me the effect of long term oven aging on resilient modulus of ACW28

Homework Statement integrate modulus of xcos∏x within the limits -1 to 1/2 P.S I'm not allowed to use acaluculator so graphing and finding out the answer not possible Homework Equations it's using the property of definite integral ∫f(x) dx within the limit from a to b = ∫f(x) dx...

Homework Statement How much force is required to punch a hole 1/2 inch in diameter from a 1/8 inch thick sheet of steel with a shearing strength of 4x10^4 PSI? Homework Equations Formula goes like this Shearing Modulus = (Force/Area) / (Shearing Length/Length to be sheared)...

I am trying to understand what the formula v=sq rt( Bulk Modulus/density). I understand that Bulk Modulus is indicative of a Pressure force and shows how much an object resists being compressed. So if we take a solid, it will have a greater Bulk Modulus than a liquid and so sound will travel...

Homework Statement Two bars, one composed of aluminum and one of steel are place end to end as shown in Figure P11.60. The bars are both initially of length L = 24 cm, and both have a square cross section with h = 3.9 cm. If a compressive force of F = 8440 N is applied to each end, find the...

Sorry for posting two threads, these question are kind of related. i just don't understand something important here:The definition of the Maximum Principle, as given in Gamelin's "Complex Analysis", p. 88: Maximum Principle. Let h(z) be a complex-valued harmonic function on a bounded domain D...

Homework Statement Give an example to show that the modulus rule cannot be reversed. Hence give an example of a divergent sequence (a_{n}) such that (|a_{n}|) is convergent.Homework Equations The modulus rule is; "Let a_{n} be a convergent sequence. (|a_{n}|) is convergent, then lim|a_{n}|...

Does youngs modulus of elasticity depend upon temperature?

Why is it that materials with a higher bulk modulus value allow for sound waves to propagate through them faster? A material with a high bulk modulus requires a relative greater increase in pressure to contract by the same volume as a material with a lower bulk modulus, and as such sound waves...

Homework Statement Find the maximum of \left|f\right| on the disc of radius 1 in the Complex Plane, for f(z)=3-\left|z\right|^{2} Homework Equations The maximum modulus principle? The Attempt at a Solution Since |z| is a real number, then surely the maximum must be 3 when z=0...

Hey guys, Really basic question, how do I find the tensile modulus E11 from a set of data? Let the data be: stress(GPa) 0.050 0.300 0.454 0.800 strain(mm/mm) 0.002 0.0025 0.004 0.0087 I know how to find young modulus E=strain / stress When finding E...

Homework Statement Calculate the stress in a wire of diameter 0.35mm when the tension in the wire is 50N. Homework Equations Stress=F/A The Attempt at a Solution 0.25/2=0.125 0.125/100=1.25x10"-3 Pi x 0.00125"2 = 1.542x10"-5 50/1.542x10"-5 = 3242542.153 Pa Are my...

My lecturer gave this problem as an exercise: http://img839.imageshack.us/img839/2405/imagewys.jpg Uploaded with ImageShack.us I attempted to use the Maximum Modulus Principle to solve this problem but failed. Any helps/suggestions are thankfully welcome.

Homework Statement Question simply asks to calculate the Youngs modulus. I've attached the question. Homework Equations Youngs Modulus = (change in stress)/(change in strain) The Attempt at a Solution okay, what i did was simply find the gradient between each of the points...

Homework Statement Solve \frac{|x^2-5x+4|}{|x^2-4|}\le1 Homework Equations The Attempt at a Solution as |x^2-4|will be positive always cross multiply and take 1 to other side of equation solve by taking LCM we get |x^2-5x+4|-(x^2-4)\le0 on solving we get...

Hello, Quick question on how you would go about calculating this. A grade of steel has the following properties; Tensile strength = 300 N/mm^2 - (not relevant?) Youngs Modulus = 200 GPa Poisson Ratio = 0.3 The grade of steel is 2m long, with a 20mm cross sectional area. It is positioned...

[b]1. | (2-i)(3+2i)(-5-6i)(-7+3i) / (-4+i) | Homework Equations [b]3. I am pretty sure I am not computing it right but this is what i come up with. square root of 5* square root of 13* square root of 61* square root of 58 / square root of 17.

Are ballons mostly made of latex? I suppose the Young's modulus of balloon may be similar to that of latex condom. Thanks a lot.

Hi! Here is my problem: there is a star, for which we know the distance, d=21.2 pc, the measurement error is delta_d=1.8 pc. The question is that how far should we put this star, so that the following equation would be true: d/delta_d = 3? The teacher told me to use two formulas...

Homework Statement Question: When water freezes it expands about 9%. What pressure increase would occur inside your automobile engine if the water froze. The bulk modulus of the ice is 2x10⁹N/m². Homework Equations B = - Δp/(ΔV/V) The Attempt at a Solution My 1st solution: Volume...

I have the function: x(\phi) = \left[(\phi - \phi_0)\frac{72~000}{360^\circ} + x_0\right]~\textrm{mod}~72~000 and I'm wondering how to invert it in order to get \phi(x) ? Also, the modulus operator is not exactly what I'm looking for here, because if x goes below 0, I want it to wrap around...

A wire made of a particular material is loaded with a lod of 500 N. The diameter of the wire is 1mm. The length of the wire is 2.5 m, and it stretched 8mm when under load. What is the young modulus of this material? My work E= stress\strain stress= F\A r= d/2 ==> 1x10^-3 \ 2 =...

Homework Statement There is a structure with four legs. each leg is 6" x 6" square. The bottom of each leg is 6"W x 6"L x 3/4" H. Each leg has a foot which is 4" x 4" x 4". The foot is placed in the center of the leg. The question is how much weight can the legs support before the bottom of...

When plotting a stress against strain graph is this the right equation that fits the form y=mx+c? I got (F/A)=y(dL/L) where F is force A is area y is youngs modulus dL is change in length and L is original length. The Y is F/A. The m is y and x is dL/l (in y=mx) is this correct? Thank you

Homework Statement Here's the question, verbatim; We want to build a pressure using a block of elastic material, where the pressure applied to the top surface is measured by a strain gauge mounted on one of the side walls of the block. The gauge factor of the strain gauge is 2.5. When 1 mm Hg...