Modulus Definition and 583 Threads

a structural steel rod has a radius of .5 inches and length of 32 in. 4000 lb force stretches along its length. modulus of elasticity is 29 x 10^6 psi. Need to figure out stress on rod, the elongation of rod due to force, and strain on rod due to force Homework Equations The...

For x|x - 2| \ge 1, since |x - 2| \ge 0, and for x|x - 2| \ge 1, so x > 0 Since x > 0, can I multiply the x inside to make it |{x^2} - 2x| \ge 1 ?? Or can you teach me your method of solving this question? Thanks.

Homework Statement When the water freezes it expands by about 9.00%. What pressure increase would occur inside your automobile engine block if the water in it froze?(The bulk modulus of ice is 2.00 x 10^9 N/m^2).Homework Equations B=\frac{\Delta P}{\Delta V / V_i} The Attempt at a Solution If...

Say f(x) = x^2 - 1 and I'm trying to prove that f is continuous, then I was told I CANNOT do this: |x^2 - x_0^2| = |x-x_0||x+x_0| < \delta|x+x_0| = \epsilon because then our epsilon is relying on an x value. I was told I could restrict the x values to a closed neighborhood about the...

Homework Statement Assume that Young's Modulus for bone is 1.50 X 10^10 N/m2 and that the bone will fracture if more than 1.50 X 10^8 N/m2 is exerted. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.60 cm? (b)...

Homework Statement find the young modulus of copper through calculating the stress and strain, plotting on a graph and finding the gradient of the linear part of the graph Homework Equations ym=stress/strain stress=force/ area strain= extension/length The Attempt at a Solution...

Homework Statement A wire of diameter 0.2mm stretches by 0.20% when a 6.28-N force is applied. What is the elastic modulus of the wire? Homework Equations Elastic Modulus=F/A/L/\DeltaL The Attempt at a Solution r=.1mm=1x10-4m 6.28N/(2\pi1x10-8/.02=5x109N/m2 The right answer...

What could you do to obtain a more precise measure of the elastic modulus of a material in tensile testing?

Homework Statement "A polymer, with Young’s modulus 2GPa and yield stress 50MPa, is reinforced by uniaxially aligned glass fibres which have Young’s modulus 70GPa and fracture at 1400MPa. The volume fraction of fibres is 40%. (a) Calculate Young’s modulus for the composite in the...

Homework Statement derive the equation for the bulk modulus, K = E/3(1 - 2v), where v is poisson's ratio. Homework Equations E = stress/e, where e is strain The Attempt at a Solution e_v = e_x + e_y + e_z e_y = e_z = -v*e_x e_v = (1 - 2v)*e_x K = stress/e_v therefore K =...

How do we measure the young's modulus of powders (particle size D50 is around 50 microns)? Quasi static methods like compression , tensile etc are not recommended for powders like materials. WHat modifications do we need if one wants to use compression method ?

Good day, Im am wondering what you get when you determine the following of a bar during a bending experiment: (E x I) / y E = the Young's Modulus [kgf/mm^2] I = Second moment of area [mm^4] y = half of the bar height [mm] Is there a name for this term? And what does this term...

hi to all can i obtain the answer of this problem : show that : modulus of (sin z ) > = modulus of (sin X ) where z = x + i Y

can anyone help me with this question...i am stuck data for steal wire 1.72 m long and 0.4 mm diameter load 10 20 30 40 50 60 extension 0.7 1.5 2.1 2.9 3.6 4.3 find youngs modulus? i have this formula E=F/A*L/AL but don't know how to use it...

Why does the shear modulus of a metal decrease with increasing temperature, on an atomic scale? Is it something to do with electrons gaining more energy allowing "layers" to slide around more easily??

Homework Statement A hanging wire made of an alloy of iron with diameter 0.09 cm is initially 2.2 m long. When a 66 kg mass is hung from it, the wire stretches an amount 1.12 cm. A mole of iron has a mass of 56 grams, and its density is 7.87 g/cm3. Based on these experimental measurements...

Homework Statement hey my youngs modulus for all my results for c.w has come out "blehege" Y=youngs modulus F=force A= area 5.255x10-8 X=extension L= original length 1m make things quicker my Y for when F=1.5 and X=0.05x10-3 i get a stress of 26198585 my stress is 2000 which...

Hi guys, I am trying to calculate the section modulus of some channel section. I was going to use the value provided on the data sheet but its confusing me because it has values of section modulus in the X and Y axis. Am i right in assuming that i use section mod value where the load is...

Hi everyone, I want to know what the difference between bulk modulus and young modulus is? In some papers, it seems that they have compared the value of these two as if they are the same. Could anyone help me with this regard? Regards, Sara

[FONT="Arial Black"][SIZE="7"]SOLVED 1. show that the determinant of a unitary matrix is a complex number of unit modulus 2. i know the equation for a determinant, but i guess to i am not sure what a complex number of unit modulus is either. I'm looking for...

Homework Statement I have attached a figure showing beam bending around 2 axis. I need to calculate section modulus Sx and Sy but seem to be getting the major and minor axis confused. I guess the problem comes in when I go to select which term is squared in my equation below. Homework...

Homework Statement Part A What is the pressure at a depth of 5000 in the ocean? Given rho_water=1,030 kg/m^3 pTotal=p_0 + rho*g*h=5.06×107 Part B What is the fractional volume change of seawater at this pressure? Given B=0.2*10^10 dV/v=p/-B =−2.53×10−2 Part...

Homework Statement Find the modulus and argument of z=1-cos(a)-i*sin(a) Homework Equations mod(z)=sqrt(a^2+b^2) The Attempt at a Solution mod(z)=sqrt((1-cos(a))^2+(-sin(a))^2) =sqrt(2-2cos(a)) arg(z)=arctan((-sin(a))/(1-cos(a))) This is as far as I can get, I have asked my math...

Homework Statement The cables of length 70m supporting a lift consist of two steel ropes each of 100 strangs giving a total cross sectional area of 1.0 x 10^-4 m^2. Consider a full lift to carry 8 passengers of average mass 75kg. Calculate by how much an empty lift moves down when it is...

Why do we call the constant of proportionality in hook's law as Young's Modulus and not as Young's coefficient? Is there any difference in Modulus and coefficient in engineering context?

Homework Statement Calculate Youngs Modulus for the copper wire We have done the experiment today, here is the data: (KG)/F(N)/x(M) 0.1/0.1g/0.0 0.2/0.2g/0.0 0.3/0.3g/0.001 0.4/0.4g/0.001 0.5/0.5g/0.002 0.6/0.6g/0.003 0.7/0.7g/0.004 0.8/0.8g/0.005 0.9/0.9g/0.006 1.0/1.0g/0.009 1.1/1.1g/0.029...

Homework Statement Consider a cylindrical specimen of some hypothetical metal alloy that has a diameter of 10mm. A tensile force of 1500 N produces an elastic reduction in diameter of 6.7e-4mm. Compute the elastic modulus of this alloy, given that poisson's ratio is 0.35. Homework...

Homework Statement "A brass wire with Young's modulus of 9.1 1010 Pa is 2.1 m long and has a cross-sectional area of 4.6 mm2. If a weight of 5.0 kN is hung from the wire, by how much does it stretch?" The answer is to be given in cm. Homework Equations I used the equation for...

Hi.. Anybody knows the Elastic modulus of crazy glue? Thanks

A little help please, rotational and youngs modulus Homework Statement A solid Ball with a mass of 3kg and r=1m is suspended in the center of a hollow ball of mass=1kg and r=3m. It is placed at rest on a 33 degree incline. after rolling 1km along the incline what's the final tangetial...

Homework Statement A wire of length 4.97 m with a cross-sectional area of 0.101 cm2 stretches by 6.53 mm when a load of 0.92 kN is hung from it. What is the Young's modulus for this wire? Homework Equations (F/A) = Y(Change in Length/Initial Length) The Attempt at a Solution (920...

I have been trying to solve the following inequality. Solve the equation: (2x+3)/(x-5)<¦(4x+12)/(x+1)¦ (where ¦¦ is meant to be modulus) I tried to solve this, firstly by using the positive modulus: (2x+3)/(x-5)<(4x+12)/(x+1) which gives me two solutions:- 1) x< (13-SQRT(673))/4 and 2)...

x=2 (mod6) x=3 (mod9) has no solution How can I prove this?

Homework Statement Although human beings have been able to fly hundreds of thousands of miles into outer space, getting inside the Earth has proven much more difficult. The deepest mines ever drilled are only about 10 miles deep. To illustrate the difficulties associated with such drilling...

Homework Statement I was not in for the Young's Modulus of copper wire experiment, so a friend gave me their data. It seems very wrong and the graph will in no way give proportionality. The Attempt at a Solution Does anyone have data or results from old school days or anything at all...

Homework Statement I have been asked to calculate the bulk modulus for a carbon dioxide solid from data I have calculated. I have made a quick plot of unit cell size vs pressure (sorry for no labels, unit cell is Y axis as square angstroms, and pressure is in GPa), which looks ok...

y = |x| can't go below the y-axis because a Modulus is always positive, but can you get a modulus that stops x going negitive? Could this be used for things like radioactive decay where the graph should go in -x but doesn't because you can't have - time?

Homework Statement I had to do an experiment and create a graph with the data. We attached one end of the Iron wire to a clamp and then tied on weights of 100g at a time to the other end so that a force can be applied to the Iron wire and so it stretches. (as pizza1512 did but in copper)...

Hi, I'm trying to find a formula to help me find either the Moment of Inertia for a cruciform (rectangular cross) or better yet, its Section Modulus (S). Please see attached image.

Homework Statement I have to prove the following claim. Claim: For any positive integers m and n, m and n both greater than 1, if n|m and a≡b(mod m), then a≡b(mod n).Homework Equations n/aThe Attempt at a Solution so i first changed each equation (ex: a≡b(mod m)) to a=b+qm and a=b+qn I...

Homework Statement A solid copper cube has an edge length of 87.0 cm. How much pressure must be applied to the cube to reduce the edge length to 85.7 cm? The bulk modulus of copper is 1.4 multiplied by 1011 N/m2.Homework Equations Vcube= s^3 F/A=(B x deltaV)/V p=F/A p=(B x...

We done an experiment of tensile test where we used the testometric machine that pulls different kind of material (aluminium, PVC, steel, brass) and generated graph stress/strain and etc, now we come to these questions: 1. Explain why the plastics/ polymer has a lower modulus and strength...

I'm trying to figure out how to prove that every polynomial in \mathbb{Z}_9 can be written as the product of two polynomials of positive degree (except for the constant polynomials [3] and [6]). This basically is just showing that the only possible irreducible polynomials in \mathbb{Z}_9 are the...

How can I get the elongation if I'm given with only the modulus of elasticity? what will be the formula? THnx..

hi i have been given these results in order to work out the young's modulus can any 1 tell me how i go about doing this Force (kN) Extension (mm) 0.5 0.003 1 0.011 1.5 0.019 2 0.021 2.5 0.024 3 0.032 3.5 0.040 4 0.043 4.5 0.050 5 0.060 5.5 0.064 6 0.070 6.5 0.076 7 0.081...

Youngs modulus of a cantilever, help please! [1] BACKGROUND: I am doing an experiment determining the young's modulus of a cantilever through principles of SHM (i.e. hypothesis: higher youngs modulus = higher frequency of oscillation. See the attached Pictures for the diagram (strobe is...

Homework Statement Solve | \frac{x}{2} +3 | > 3-x^2 Hence, solve | \frac{e^x}{2} -3 | > 3-e^{2x} Homework Equations The Attempt at a Solution I've solved the first part. But I have no clue what is the link to the second part?! could there be just typo to the question?? I...

hi all, i was studying modulus when i came across this mod(xy) = modx mod y we consider 3 cases whereby both positive , both negative, or positive negative it reads here if we consider x and y to be negative it will be something like this mod xy = xy = - mod x ( - mod y ) = mod x mod...

Homework Statement Find the solution set of: |x+1| + |x-2| \leq 5 Homework Equations I'm going to rearrange this to |x+1| \leq 5 - |x-2| The Attempt at a Solution Well i sketched a graph of it. The line 5-|x-2| cross the y-axis at 3 and it 'pongs' back of the x-axis at -3...

Homework Statement A hanging wire made of an alloy of titanium with diameter 0.15 cm is initially 2.8 m long. When a 109 kg mass is hung from it, the wire stretches an amount 1.41 cm. A mole of titanium has a mass of 48 grams, and its density is 4.54 g/cm^3. Based on these experimental...