Modulus Definition and 583 Threads

Hi everyone! Please help, I have spent a considerable time to understand the two concepts and still this is nagging at me... I am relating to Structural Engineering, just to let you know guys. My question is .. Moment of inertia is about distribution of mass, the further away from the axis the...

Homework Statement I was doing this experiment: http://practicalphysics.org/shm-cantilever.html I'm interested in the derivation of the result ω^2 = Exy^3 / 4*M*L^3. I tried to think where it comes from. How do we even start to derive k from the equation mg = KS where S is the delta in the...

A steel cable 3.00 cm 2 in cross-sectional area has a mass of 2.40 kg per meter of length. If 500 m of the cable is hung over a vertical cliff, how much does the cable stretch under its own weight? Take Y steel ϭ 2.00 ϫ 10 11 N/m 2 .Y=([L][/o]F)/(A*delta_L) My attempt of solution...

http://imgur.com/oLMkHBX How exactly would you calculate E in this? The cross section is a square and it deforms .8 mm. I'm not quite sure what to do since obviously the size of the cross section changes.

Young’s modulus is given as the second derivative of the total energy with respect to the strain divided by the equilibrium volume. Can help me for the calculate equilibrium volume and young's modulus?

I'm trying to better understand RSA and Diffie-Hellman exchange and the modulus math that they are base on, there are some questions I have about there properties for which I am unable to find concise explanations about. I'm generally interested in how the commutative, associative...

Homework Statement By what amount does the 52-cm-long femur of an 73 kg runner compress at this moment? The cross-section area of the bone of the femur can be taken as 5.2×10-4 m2 and its Young'’s modulus is 1.6×1010 N/m2. Express your answer to two significant figures and include the...

Homework Statement So I'm trying to find the modulus and argument of cosh(iπ) Homework EquationsThe Attempt at a Solution so far coshπi = ½(eiπ+e-iπ) I am now a bit stuck as what to do as i have two terms in the form eix and I'm not sure homework to combine them to get the argument?

Hello everybody. I've measured the Young Modulus of PDMS samples both in compression and in tension. From compressive tests I get a Modulus twice as big as the one I get from tensile tests. Is it normal to get two different values for Young Modulus using tensile or compressive tests? Do you...

If I have something like: $$\lvert \langle M \lvert \hat{L}_x+i\hat{L}_y \rvert M-1 \rangle \rvert ^2=c$$. where ##c## is any old real number. If I undid the modulus square to find: $$ \langle M \lvert \hat{L}_x+i\hat{L}_y \rvert M-1 \rangle=\pm \sqrt{c} $$ Would I not have to consider...

Homework Statement Find the modulus and argument of 1) cos(i) 2) -3i Homework EquationsThe Attempt at a Solution 1) So for question 1 i tried cos(i) = ½(ei2 + e-i2) = ½(e-1 + e) . However this doesn't (as far as I can see!) lead me to the right answer. I was aiming to get it in the form...

Homework Statement A force stretches a wire by 2mm. A second wire of the same material and with the same area of cross-section and twice the length is also stretched by the same force. What will its stretch be? Homework Equations F= (YA/L)ΔL The Attempt at a Solution F, Y, and A are all...

Homework Statement A mild steel wire of length 1 m and cross-sectional area 0.5*10^-2 cm^2 is stretched within elastic limit horizontally between two pillars.A mass of 100 g is suspended from mid-point.Depression at mid-point? Homework Equations Sag in metal rod is=WL^3/(4BD^3Y) where...

What is the difference between stiffness and Young Modulus and how can you calculate the stiffness?

After completing two experiments to find the shear modulus of a beam, I found two very different results. For test 1, we twisted the beam slowly at very small angles (0.005 - 0.03 rad), only in its elastic form. The torque was found using a torsiometer . In test two a replica of the beam was...

I want to know the what is the effect of temperature on modulus of rubber, mathematical expression will be helpful

If young modulus = stress/strain Wouldn't a different original length affect the value of young modulus ?

So my question is, if the bulk modulus change by 5%, what is the fractional volume change value? is it times 0.05 or divided by 0.05? or the fractional volume change still the same?

If I have something like ||V>+|W>| That is the modulus of sum of two ket vectors, can I "bra" through the modulus like: <V|(||V>+|W>| )=|<V|V>+<V|W>|? Thanks, kq6up

Homework Statement First question = attached below Second Question = attached below Homework Equations modulus, argument, roots. The Attempt at a Solution For the 1st question I've gotten the modulus, the principal argument and the abs. of z^1/4 which was something like 1.5335 I believe. The...

Homework Statement See image. Homework Equations pressure = density*gravity*depth The Attempt at a Solution The pressure at 5000 ft according to the book is 322,000 psf. This makes sense because density*gravity*depth = 2*32.2*5000 = 322,000 psf. How do I apply the bulk modulus equation to...

Homework Statement If the bulk modulus for water at 70∘F is 319 kip/in^2, determine the change in pressure required to reduce its volume by 0.3%. Homework Equations E = dP/(dV/V) E - Bulk Modulus dP - change in pressure dV - change in volume V - volume The Attempt at a Solution Well I just...

I am trying to find a formula to show the modulus of elasticity (MOE) of a panel of three layers of different materials when I know the MOE value of the three individual materials. This is for a Plastic Laminated Panel where, the top and bottom layers are plastic laminate (i.e. Formica) .028"...

I am constructing a glutamine beam as part of a project and need to estimate the load at which the beam fails in bending and the load that will give deflection of length/200. I have been allowed to do a none destructive test on each piece of timber to be used in my beam. This has given me a...

This question is killing me. I know the graph is non-monotonic so i have to split up finding F(Y) for -1<Y and Y<1 but then what do I do with the modulus? >.< Any help would be greatly appreciated! Thank you so much x

1. Homework Statement h = 17.2 cm A = 12.32cm2 E = 410 MPA Fapp = 6130 N 2. Homework Equations Stress σ = F/A where F is force applied and A is cross sectional area of side where force is applied Strain ε = ΔL/L where L is the length of the bar and ΔL is the change of length of bar Young's...

Hi Can any please help: My course work is asking for me to calculate the Bulk modulus and shear modulus for a material that has a Young's modulus of elasticity of 250GN m-2 and a Poisson's ratio of 0.32? Any help will be great thanks Simon

Hello guys, does anyone know if there is a specific relationship between the modulus of elasticity and crystal structure/microstructure? I know that YM is basically derived from the chemical bonding, but how about the other two? As much as I know it should be not affected by the microstructural...

Hi, PF! In the study of mass transfer involving chemical reactions, I have seen the use of two different non-dimensional parameters which apparently quantify the same ratio. These are the second Damköhler number and the Thiele modulus, which are defined as \textrm{Da}^{\textrm{II}} =...

Hi, I was looking some exercices on internet about the poisson's ratio. I have just one question. How can i calculate the young's modulus and poisson's ratio when i know that a material is purely elastical. I calculate circonferential et longitudinal contraints and i have write the cauchy...

I've tried searching online for one in what I can only guess would be called a reduced algebraic form, and I cannot find it. To make matters worse, for me, at least, I do not have the mathematics knowledge necessary to understand advanced functions, series, and transformations of mathematics...

Hi, I have a question regarding calculating Young's modulus for a flat spring. I have a flat spring shown as the left one in the image. Now I fix the bottom of the spring and exert a force F on top of it and it bends for distance of d. Is there any way to calculate young's modulus for this...

i am new to rubber components , now i am developing a bladder for pulsation dampener, so for that i need to check the spring rate or elasticity of viton material and to determine the thickness for the bladder, I am struggling a lot to find the shear modulus of rubber, if have this valve i have...

Suppose we have ##a \equiv 0 (mod~ m)##. And, ## a \equiv b (mod~ n)##. Is there any way to relate ##b## with ##m## and ##n## ?

Homework Statement The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s = 280, in units of 10^6 N/m2. What are (a) the Young's modulus and (b) the approximate yield strength for this material? Homework Equations E=stress/strain The Attempt at a...

Given a rectangular prism that is composed of various horizontal layers made of different materials, how can one calculate the modulus of elasticity? Currently the materials used and their respective ratios have not been specified. We wish to determine this information using the results of...

Sorry if the answer is very simple, but I just had a question regarding error propagation when using a modulo operator in intermediate steps. For example, I have ## \theta = arctan(\frac {A}{B}) ## and then I do ## \theta ## % ##2\pi## (modulo ##2\pi##). This gives me an answer between ##...

Homework Statement I am struggling with a part of the question. Please see diagram in the attached. Calculate the relevant Elastic Modulus and select the lightest suitable beam section assuming a maximum allowable bending stress of 120 Mpa ? Homework EquationsThe Attempt at a Solution To...

Homework Statement I have the following table Load 25 50 75 100 125 150 160 170 Extension 0.38 0.75 1.15 1.53 2.8 8.6 15 28 and I need to: 1. Plot the stress – strain or (load-extension) graph and determine (a) Approximate value of the elastic limit (b)...

Homework Statement In the figure, a 128 kg uniform log hangs by two steel wires, A and B, both of radius 1.15 mm. Initially, wire A was 2.80 m long and 2.00 mm shorter than wire B. The log is now horizontal. Young's modulus for steel is 2.00 × 1011 N/m2. What are the magnitudes of the forces...

Homework Statement Homework Equations E= (F/A) x (L/ΔL) The Attempt at a Solution I know that since the material is the same, the Young modulus should be the same. However, when I try to find the ratio of the second wire to the first, I get the answer C. For the first wire, E= 4FL / d2Δl...

If a rod with cross section area A and length L is lying on a smooth table with one end being pulled by f Newtons and other end by 2f Newtons. What force I can use in calculating Young's Modulus and why? my doubt is whether it will be 3N or 1.5N and why? Stretched length is given.

Homework Statement Stress = 320 MPa Max Elastic Moment = Stress*Z Max Plastic Moment = Stress*S Solve the maximum moments and compare the % increase Beam is an I beam with dimensions: (b and d) Top Flange = 25*10 web = 10*180 Bottom Flange = 200*8 Homework Equations see above The Attempt at...

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 A nano-tube having cross sectional area A and length L extends ΔL when a force F is applied normally to one of the cross-sectional surfaces. Show that if N tubes are connected end-to-end the then Young's modulus of the fibre does not change. Homework EquationsThe Attempt at...

Hello, I have been thinking about following problem: I have some kind of piston and cylinder with oil. I know the pressure in oil. Let's say it is 500bar. I would want to know how much is displacement of piston. Let's say bulk modulus of oil is 3Gpa. Let's also say that bulk modulus of...

Hey all, I am having trouble getting to the answer of the attached file below. It would be appreciated if anyone had some tips on getting to the answer.

Homework Statement How do I solve for b in a= b mod q Homework Equations I'm not sure what mod operations for equations are allowed. I would like to know. The Attempt at a Solution Unsure how to move the mod q to the other side.

Hey guys, I'm studying for an exam that I have in Complex Analysis and I got stuck at the following question. Question: True/False f(z) is an analytical function in the ring 1 =< z =< 3. Also, the minimum of |f(z)| on |z|=1 equals to 1 and the maximum of |f(z)| on |z|=3 equals to 2. Therefore...

Hello lol first post . so I've done an experiment in determining the modulus of rigidity for a bar of an unknown material (torsion experiment). I have been asked to analyse the results, which I still have no idea what that means and find the material with the G value that i have. I've been...