Beam Definition and 1000 Threads

Homework Statement My Question paper is listed under attachement Question 2 Homework Equations M/I = σ/y The Attempt at a Solution My attempt at the solution is as per Q 2 attachment. What I am looking for is to see if I am on the right track. I'm worried that the units seem...

Homework Statement A uniform 250 kg beam is supported by a cable connected to the ceiling, as shown in the figure. The lower end of the beam rests on a rough, horizontal floor. What is the magnitude of the tension in this cable? Image of the problem...

Homework Statement A beam supported at two locations is subjected to two equal loads at the end points Compute the central deflection W. Schematic: \downarrow........\downarrow ____________________________ <--->Δ<-------><------->Δ<---> ...a...L...L...a The delta's are the...

Hallo guy, I hope its not asking too much, but i really need help with this, Urgently. I have a cantilever, with point load P=100 at the end tip. A spring(K=500) attached to the cantilever perpendicularly at UNKNOWN position. I KNOW the deflection at the end tip. and the rest of the...

Homework Statement Imagine a rubber beam. One en is fixed and the other is pulled down 5cm and released. The beam wobbles until it comes to rest. Independent (what I change): length of rubber beam Dependent (what I measure): time to come to rest Controlled (what stays the same)...

Homework Statement This is not a homework problem but a general situation where I'd like to know which is better to do. Say for example I have a cantilever beam of length L and some moment of inertia I, first moment of area Q and thickness t with a force P applied at the free end...

Hi For a cantilever beam with a load at its end, flexural rigidity is: EI = m*g*L3 / 3Y Where m=mass, g=gravity, L=length of beam and Y=deflection the natural frequency is f = 1/(2∏) * √ ( 3EI/mL3) Plugging in EI to the formula for f reveals that f depends only on the...

Homework Statement We need to design the cross section of a beam to make it suitable to carry a uniformly distributed load. The beam is held up by 4 ropes which are shown on my diagram as R. In the same attached picture I have the shear diagram and the bending moment diagram for this...

if you look at the attached photo. we have 2 beams, 1) is shorter, 2) is longer. cross-sectional area is the same. same force is applied X cm from the fixed end. what is the max stress in each case? why are they the same ( and why not)? Take gravity out of the equation. FEA shows...

I have a design where a beam gets welded to a plate. The plate is not against a wall or foundation, but for simplicity I can say that the edges of the plate are fixed. I am concerned about the stress in the plate, and the deflection in the beam. I have access to solidworks simulation, but I want...

Homework Statement The scattering amplidtude, F, of a, by a crystal, diffracted beam is defined to be: (1) F=\sum{_\vec{G}}\int n_{\vec{G}}e^{i(\vec{G}-\delta\vec{k})\cdot \vec{r}}\mathrm{d}V The integral is over all the volumeelements, dV, of the crystal. n_{\vec{G}} is the local...

1. A Nd:YAG laser operates at a wavelength of 1064 nm and is used for frequency doubling in the non-linear material LiNbO3. The laser outputs 1 W of power in a TEM00 mode with a beam waist ω0 = 1.0 mm on the output mirror. A lens of focal length of 50 mm is placed immediately outside the...

Hi I am a new member and put illustrated diagram and my answer for Ra and Re but stuggling with how to calculate the other reactions of the beam, one other thing on the illustrated diagram it show w1, w2, w3 the weight is 0.2 kg on each load case, i think this needs to be converted 0.2 x 9.81 =...

Homework Statement If the distributed force is removed from the beam in the picture attached and not considered, calculate the deflection at point D. Homework Equations Double integration for deflection [V] The Attempt at a Solution Moment = Ra*x-P(x-3*L) = Slope =...

I would like to calculate the power of a beam of light once I know the electric field amplitude. For example if I know the amplitude along a line from -1 meter to +1 meter every 0.5 m is [1, 2, 2.5, 2, 1 V/m], how can I find the power from this is? Is there enough info? (it's in vacuum/air)...

Homework Statement Just took my finals and there was one problem that bugged me, I have done these types of problems multiple times and understand it well but this particular problem seems like there isn't enough information. There is a massless beam being held against a wall by a massless...

The title is fairly misleading but is within the subject. I have drawn up a beam of my own as part of my classwork because what bothers me is how you would find Young's Modulus [E] and the second moment of inertia [I] without being given them. Every question I have looked at has given me...

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...

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...

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.

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) =...