Beam Definition and 1000 Threads

Hello. I am attempting to build a fixture which will place uniform tension onto one surface of a rectangular beam. I know that I must force the beam to deflect along a set path, but I am having trouble determining what the equation for this path needs to be. Any guidance on this would be...

I want to find out that what happens if we polarize a white light which has all of the wavelenghts of 400-700 (nm).Does it divide into colors?What happens to it?

Folks, Just wondering what the author is doing here, given ##\displaystyle \left (\frac{2EI}{L^3} \begin {bmatrix} 6&3L\\3L&2L^2 \end {bmatrix} -\omega^2 \frac{\rho A L}{420} \begin {bmatrix} 156&22L\\22L&4L^2 \end{bmatrix} \begin {bmatrix} W\\ \theta \end {bmatrix} \right )=\begin...

Homework Statement Calculate the net torque (magnitude and direction) on the beam in the figure below about the following axes. (a) an axis through O, perpendicular to the page (b) an axis through C, perpendicular to the page Homework Equations The Attempt at a Solution I...

I am just wondering the author is doing in this calculation step. Given ##\displaystyle \rho A \frac {\partial^2 w}{\partial x^2} - \rho I \frac{\partial^4 w}{\partial t^2 \partial x^2} +\frac {\partial^2 }{\partial x^2}EI \frac {\partial^2 w}{\partial x^2}=q(x,t)## where ##w(x,t)=W(x)e^{-i...

If one directed a 3 GeV electron beam at a target (say carbon) would pions be produced? If so, what percentage would be produced compared to bombarding the same target with a 3 GeV proton beam? In other words, how important is it that electrons do not interact via the strong nuclear force...

I'm working through my professor's solution for this problem, and I don't understand how he comes up with the reaction force at B without taking into account the moment at B. Any help would be greatly appreciated. http://img832.imageshack.us/img832/6953/sibi.png

if you have a beam or something, anchored at one end and apply a moment at the other end, then the bending stress is given by M*y / I, where I is the moment of inertia of the beam. what affect does the length of the beam (i.e. the distance between the anchor and the end of the beam, where the...

Homework Statement Hey In my assignment I am writing about beamdeflection, but there's some things i really can find out how to do. I need to explain area moment, moment of inertia and the center of gravity, i need to explain this with the help of integration. Under her I've inertet...

Folks, Trying to get some appreciation for what is going on in the attached schematic of 1)Euler bernoulli and 2) Timoshenko beam elements. For the first one, ie the top picture, how was ##u- z \frac{dw}{dx}## arrived at? thanks

I am having trouble finding the difference between and I beam Trolley with a roller bearing and a sleeve bearing? I know that the roller bearing has 4 wheels that sit on the bottom base of the I Beam and roll back and forth but I am not sure how a sleeve bearing is different from that? Thanks

Homework Statement Derive expressions for the shear force V and bending moment M as functions of x in the cantilever beam loaded as shown. Then answer the questions. At x = 2 ft, V = M = At x = 9.3 ft V = M = I have attached an image of the question The maximum...

Homework Statement In a Stern-Gerlach device, an atom beam with angular impulse J, travels through a magnetic field applied normally to the trajectory. The beam is separated in 2j+1 beams in general. Find the relative intensities for these beams if J=1 and if the beam is polarized with jθ=1 in...

I have completed bending moment and shear force diagrams and have a question asking for the mean shear stress. I know this is worked out using the formula: tau = F/A. I am unsure of what force to use is it the max shear force on my diagram? My other thought is that it could be an avergae of...

Hello guys, I am calculating Bending and Shear stresses in hollow beams. We have a particular kind of shell that we use for impact loading, so we put rubber discs around the steel shell. So my question is, how will it affect the moment of inertia ? Since I know that the rubber discs will...

Homework Statement The picture of the beam below has a module of rigidity EI, determine the reactions at the supports and the equation of the deflection curve of the left half of the beam Homework Equations v*EI=((Ma*x2)/2)+((Ra*x3)/6) Ʃ of Forces in Y direction = Ra+Rb=0 Ʃ Moments...

Homework Statement A 35.8 kg beam is attached to a wall with a hinge and its far end is supported by a cable. The angle between the beam and the cable is 90°. If the beam is inclined at an angle of theta=17.8° with respect to horizontal, what is the horizontal component of the force exerted by...

Homework Statement Hi, i am trying to understand how to find the reactions (Ra & Rb) and moments (Ma & Mb) of the beam shown in the sketch below. Not an exact number but in terms of Mo(couple moment) and L(length). Homework EquationsI have the answers which are Ra = -Rb = 3Mo /2L AND Ma...

Hello all, I have a shaft supported on both sides with a charge on each bearing, as shown on the following link: http://www.engineersedge.com/beam_bending/beam_bending4.htm I need to calculate the shaft deflection with the formula provided on the website, but my shaft often have different...

Homework Statement One end of a uniform 3 m beam, that weighs 15 N, is supported by a mass-less cable. The other end rests against the wall. The coefficient of static friction between the wall and the beam is μs=.5 Figure: http://i.imgur.com/Ad9R2.jpg?1 Determine the minimum distance x...

Homework Statement You start at t=0 at rest on Earth and accelerate with uniform acceleration a away form earth. Find a point in time t_0 such that when a beam emitted from Earth at t>t_0 won't catch up. Homework Equations x(t)=c^2/a(\sqrt{1+\frac{a^2}{c^2}t^2}-1) The Attempt at a...

I was wondering if there were any mechanical engineers that can answer a few questions I have regarding an assignment that I have been set. We have to choose a suitable beam to support a monorail. we are looking for a moment of deflection of around 10mm. Using the universal beams table bs 4 1993...

Folks, I am trying to understand the balance of units for this eqn ## \displaystyle \frac{d^2}{dx^2}(E(x)I(x) \frac{d^2 w(x)}{dx^2})+c_f(x)w(x)=q(x)## where ##E## is the modulus of Elasticity, ##I## is the second moment of area, ##c_f## is the elastic foundation modulus, ##w## is...

Homework Statement A horizontal meter stick has a mass of 217 g. Three weights ride on the meter stick: 265 g at 40.7 cm, 191 g at 75.9 cm, and 195 g at 99.3 cm. At what location on the meter stick would the system be in balance if it were suspended there?Homework Equations ƩF=0 Ʃτ=0 Center...

Hi all, my question is not strictly related with physics and I don't know if it is the right section. Anyway I have a problem with a collimator: I need 100micron (or maybe smaller) collimator, but the high energy (60-70 MeV) of the beam need a material which is at last 5mm thick, (tungsten...

hi, last week we did an experiment to find the deflection of simply supported beams. During the experiment, after every measurement we had to tap the frame slightly. Does anyone know why we had to do this? If you could explain it to me I would be grateful.

If we had a beam fixed at $x = 0$ and on pin rollers at $x = L$, why would $u_{xx}(L,t) = 0$ and $u_x(0,t) = 0$. $u(0,t) =0$ since the at $x = 0$ the beam is fixed and $u(L,t) = 0$ since the beam is on roller and wouldn't have any displacement, correct?

Homework Statement Two horizontal plates connected to 600v with the positive at the top. A positively charged ion between the plates moves downwards under the force of the field (neglect gravity). The ion has charge 1.6×10^–19C and mass 2.3×10^–26kg. Show that the kinetic energy of the ion is...

Homework Statement Hi everyone this is my first post. I am having a problem with the bending moments of the beam (see attached files). I cannot for the life of me seem to get the bending moment to finish at 0 so I can draw the bending moment diagram. I know this is generally quite a simple...

Been doing some physics problems from my mechanics class. This is the first time I've attempted a problem like this and am not so confident with solving it, I could be correct and just being paranoid but I just have a feeling I've made a mistake somewhere, would appreciate if someone who is...

Hello there, I would like to obtain the Green function for the operator F, F [u(x)] = u '''', and the boundary conditions u(0) = u'(0) = u (1) = u' (1) = 0. I am looking for a function G ( x, s ) such that G'''' (x,s) = delta (x-s) (the apecis referring to differentiation w.r.t. x, and...

Hello, First post, go easy. Trying to do some basic calculations on how to find when a steel cantilever beam will yield when a load is applied to the free end of the beam. I have attached my best MS Paint diagram of the problem. Assume the left end is clamped and essentially a fixed end...

Homework Statement http://i.imgur.com/5p9UF.jpg The Attempt at a Solution http://i.imgur.com/LZtRh.jpg and this is what was tried to do. But apparently T2 is complete off, any ideas? Or there is some other way to calculate this? Or perhaps someone can point me to better book other than...

Consider the cross section of two beams of same material as shown in the file attached. The area moment of inertia I about the central axis is equal for both the c/s. I have calculated it. Can somebody explain why the second c/s (2 in the figure ) is preferred for the design?

Hello Can somebody guide me to a mathematical solution for a cantilver beam which is totally restrained on only 2/3 of its depth. Thanks in advance

Hi there. I have to solve this problem. The statement says as follows: A particle beam with l=1, without spin and with momentum p is incident on the plane x= 0. In the region x<0 the particles move freely and for x>0 are under the action of a constant magnetic field H in the z direction V(x) =...

Hi, Please do not shout at me if you find this query posted on another thread; I am spreading my net wide. I am investigating the overhang beam pressure distribution when part of the beam is resting on an elastic foundation. We are all aware of the assumption that when a moment is reacted...

The deflection D of a beam of length L is $D=2x^4-5Lx^3+3L^2 x^2$ where $x$ is the distance from on end of the beam. Find the value of $x$ that yields the maximum deflection. this is from a unit on inflection points so assume this is $\frac{d^2}{dx^2}$ and also looks like an implicit...

A man of mass mm = 95 kg decides to paint his house. To do this, he builds a platform using a uniform beam with a mass of mb = 100 kg and a length of L = 7 meters. The beam is supported by two sawhorses, as shown in the diagram above. 1) If the man stands over the support at point B...

Homework Statement The 250 g ball is supported by the vertical beam of fresh water which issues from the 12 mm diameter nozzle with a velocity of 10 m/s. Calculate the height h of the ball above the nozzle. Assume the stream remains intact and there is no energy lost in the jet stream...

Homework Statement In the illustration we have a beam attached to 2 hawsers which are BX and DY respectively. We have pressure mounted on different parts of the beam. What is the tension in the hawsers Homework Equations The Attempt at a Solution I don't know how to approach this...

Homework Statement Determine the forces of reaction.Homework Equations SUM of Y forces=0 SUM OF FORCES ABOUT POINT B = 0 The Attempt at a Solution My attempt is in the link, I scanned the diagram along with my work. Thanks for the feedback, appreciated. http://imgur.com/i3cB2 <----- Link

Suppose a cantilever beam stands uprigt, such as a tube attached to the floor in one end and free at the other end. Suppose then that a force is applied normal to the beam at some point along the beam causing a deflection. Then suppose that at t=0 the force disappears, and the intertia of the...

If I start out with a flat beam of length a and then I fix one side and then bend the other side up to form an arc with height h, is that enough information to determine the radius of curvature of the bent beam? If so, how would I do it? Thanks...

Homework Statement A beam (note: part of a truss, I chose to use the beam in the truss with the most force and length for my calculations, which I assume is the correct thing to do) of length 6m with a force of 9N is being constructed out of a material with a Young's Modulus of E = 70 \times...

Hello guys, I'm not sure this is the right place to ask the question, but I hope someone would have experience with beam splitters cubes. If I want to split a laser beam over more than one level with more than one beam splitter cube, so the first beam splitter splits to two beams with 50%...

Homework Statement A positive moment of 12000Nmm at the tip applied as two equal and opposite point loads of 1000N in the x direction at C and D. The beam is fully fixed along AB. Young's modulus E = 200*(10^3) MPa and the poisson's ratio = 0.3. Geometric Properties: Width, b=10mm...

Hi All, I need to calculate how much force is required to bend a beam to a constant radius. The beam will be simply supported on both ends and the force will be applied much like a 3 point bend but with a curved face instead of a single point. For most of my application, the beams are...

Homework Statement I know that in free space, the width of a Gaussian beam can be written as W=W_0\sqrt{1+(\frac{z}{z_0})^{2}}. However, I was wondering if it was possible to express this width as a function of refractive index instead (since I don't believe a Gaussian beam originating in say...

hello My question is rather off the usual queries concerning beams, which is maybe why I'm struggling to find a solution. If we suspend a totally rigid beam at its extremities with springs to measure forces, the springs will both indicate q x L /2. If the beam is supple, it will sag and...