Beam Definition and 1000 Threads

Hello everyone, First of all, I'd like to apologize if this question has already been discussed here at the forum. However, I've read dozens of discussions and none of them have helped to find a solution to this specific scenario I have in mind right know. I have been reading a lot of...

Homework Statement I'm trying to find the boundary conditions for the beam shown in the figure. Homework Equations Notation: V= Shear force M= Bending momentThe Attempt at a Solution at x=0 V=R1, M=0 at x=9 V=R3, M=0 In the solution provided at x=9 V=-R2. I don't understand why it's...

Homework Statement Hello could someone please help me on how to work this question out I have attached a photo so you can see the question. The equation i think you use is the equation of equilibrium. thanks if someone could please help me! you would be my life saver! Homework Equations...

Problem: A flux of 10^12 neutrons/m^2 emerges each second from a port in a nuclear reactor. If these neutrons have a Maxwell-Boltzmann energy distribution corresponding to T=300 K, calculate the density of neutrons in the beam. Solution: The average velocity of neutrons coming from the...

Hi, I was wondering what the diffraction pattern would be like if the suns light is diffracted through a pin hole or double slit diffraction grating compared to that of a laser beam? thanks.

Hi, I'm new here and didn't really know where to put this so decided to put it here as it is to do with my course work. I'm currently doing my Final year project on a lifter for lifting fertilizer bags its going okay and do know how to calculate moment of inertia but the problem is that I have...

Homework Statement Charged particles, each holding charge q are moving in a cylinderical beam centred on the x-axis with n particles per unit volume. All the particles have the same horizontal velocity v. A) By considering a suitable Gaussian surface, calculate the E-field as a function of...

Homework Statement Red light is incident in air on a 30o - 60o - 90 o prism as shown. The incident beam is directed at an angle of φ1 = 44o with respect to the horizontal and enters the prism at a height h = 16 cm above the base. The beam leaves the prism to the air at a distance d = 41.5 along...

I have a linear elastic thin beam y=sin(pi x) from 0<x<1 and the beam is pin supported (no moment applied) at x=0 and x=1 and constrained so that the ends remain on the x axis. Then I push the end from x=1 to x=1-delta (for some small delta, say 0.1). Will the resulting beam shape still be a...

Hey all, first post! Looking to find a deflection equation for a simply supported overhanging beam with two supports and a point- load at the end of the canteliever. I can determine reactions at the supports but i am having trouble finding deflection between the supports. Any help is...

Homework Statement Part a) Deflection of the electron beam in a cathode ray tube television set has electrons accelerated until they have K.E. of 25 keV. What is the magnetic field magnitude required to deflect the electron beam 3.3 cm when the magnetic field is 8 cm long? Part b) When...

Hi, I'm using an aspheric lens with a LED light source for a DIY projector. As I understand it, if I place the led light source at the focal length of the aspheric lens, the light should be collimated(parallel) coming out the other side. As I decrease the distance between the led and the...

Hi there Are anyone familiar with tables of stress concentration factors, or the like for short beams for different span/depth ratios. My beam is technically not a beam, but I would still like to estimate maximum bending stresses related to normal stresses caused by bending moment (sigma =...

Hello, here is something that's been bothering me for a while: say I have a charged particle beam that can be described by one bivariate Gaussian in X dimension and another bivariate Gaussian in Y dimension. The parameters of the bivariate gaussian are the position (X) of an individual...

Homework Statement So a neutron beam is split into two components, one by reflection, the other by transmission. The phase shift undergone by the reflected beam is \pi radians, and the phase shift of the transmitted beam is \Delta. What is the equation of the probability density of the...

Homework Statement Obtain deflection curve in terms of q, L, and EI Homework Equations Use the second order differential equation of the deflection curve to solve. Meaning that the M(x) is the second derivative and you integrate twice to get V1 and V2 The Attempt at a Solution From the...

Homework Statement (see attachment 1) Homework Equations The Attempt at a Solution Here's what I've thought. See attachment 2. I think that the emitted electrons will follow trajectories which would intersect at a common point. The differently coloured trajectories shows...

Homework Statement If a beam of 9.39 x10^20 alpha particles passes a given point in 1.50s, what is the current? Homework Equations I=q/t The Attempt at a Solution umm the answer is 2.00 x 10^2 A, not sure where to begin. Would be a great help if someone can point me to the right...

I have a partial linearly distributed load on a cantilever and would to determine the bending moment distribution along the beam. I usually do this by taking cuts along different sections of the beam and finding the expressions for shear force and bending moment. However when I do this...

Homework Statement A uniform beam with mass M = 156 kg and length L = 2.3 m slides broadside down along the ice at a speed of v0 = 9 m/s. A man of mass 88 kg, who is initially at rest grabs one end of the beam as it goes past and hangs on as the beam and man go spinning down the ice. Note...

Homework Statement Two vertical forces are applied to a beam of the cross section shown. Determine the maximum tensile and compressive stresses in portion BC of the beam I have attached an image of the question Homework Equations σ = P/A +/- My/Ix Ix = Ix + Ad2 ---> parallel axis theorem...

Homework Statement I am attempting to calculate the shear force Vx, and bending moment Mx within the interval C - D of this beam. Homework Equations ƩFy = 0 ƩMx = 0 The Attempt at a Solution I have calculated the support reactions to be RA = 5kN and RB = 55kN ƩFy = 0...

Hi, When we find out the deflection of beam, the factors considered are its geometry (moment of inertia) and young's modulus (E) of the material. As per text Hook's law 'E' is constant only till the elastic limit of the material. Assuming that the stress induced crosses the elastic limit, 'E'...

Homework Statement Hi all, I have a HW question which is about a simple beam the beam carries a uniform load across its whole length and has two concentrated loads. The beam looks something like this: O____________I____________________I_________________X...

This problem is making me want to tear my hair off. I am trying to calculate the time it takes for a beam to fall to the ground. http://myweb.lmu.edu/gvarieschi/chimney/Graph1.JPG It would be great if I could calculate the rate of change of angular acceleration, as the acceleration would...

Homework Statement For the same lab as I posted previously, I have been asked to prove a situation. I think I'm either over thinking it or it really is that complicated. I've been asked to prove why the bending moment is constant across an end loaded beam (inbetween the knife edges - the two...

Homework Statement Trying to calculate the support reactions here. Homework Equations ƩFy = 0 ƩMA = 0The Attempt at a Solution Well I've come up with the first equation (I assume two are needed to solve for both support reactions from the above equations). ƩFy = 0 RA + RB (up) = 10kN +...

Homework Statement A natural lithium target 3.8 mg cm-2 thick is bombarded with a 125 µA beam of 3.5 MeV protons initiating a 7Li(p,n) reaction. Assuming a reaction cross section of 300 mb, calculate the activity produced by a 15 minute bombardment. Homework Equations...

I am designing a roof which is 5 metres wide and 10 metres long. the total weight it has to support is 20,000 kg. there will be two I beams spanning the 5 metre width, each i beam is 3.33m apart. what dimensions should i use for my i beam? any help would be massively appreciated, is...

Hello, I have a system that consists of a clamped-clamped beam with a residual stress and am trying to find an equation that governs its deflection due to a point force that takes stress into consideration. A formula I have come across: d = (F*L^3)/(192*E*I) does not accurately model the...

Homework Statement I´ll show it with a picture: Homework Equations Static equilibrium, Sum Forces=0 ; Sum Moments= 0 The Attempt at a Solution With the Fx, and Fy equations I can calculate the reactions Rx and Ry but I don´t understand the moments equation: Sum M around...

Hi, I'm trying to calculate the maximum bending stress in a beam with a varying cross section. I found a great resource (link below) that gives examples on how to do this but am a little confused. Basically the equation used is σ=M/Sx I know what σ and M are, but I haven't a clue what Sx is...

Homework Statement Require various values from cantilever beam analysis including Bending moment K stiffness 2nd moment of inertia Max stress Homework Equations Shown belowThe Attempt at a Solution Here is my attempt at this question but I am unsure about units and therefore my answers?Bending...

Homework Statement I have this question. I need to know the diformation in P direction. Here is the question I use the symmetry and finally with a 1/4 modell I get the following: which is correct according to the instruction. K is the stiffness of the spring. which with symmetry becomes...

I have tried to complete the following question by taking moments about point A, but to no avail. Could anybody help me with where i am going wrong. Do I need to include perpendicular distance? The I-beam A-B shown below is supported by a cable at B and a pin at A. The cable is inclined at an...

Calculate forces on beam with "hook" I have a beam which looks roughly like the attached file. The aim is to calculate forces in A and B. Would I have to look at AB and CDE independently, or could I proceed as "usual" by calculating the moment in A and proceed with forces calculation in x and y...

Homework Statement Consider what happens as a parallel beam of non-relativistic electrons with beam radius a is injected as a current I into a region of vacuum after acceleration through a voltage difference V. If the radial profile of the beam can be described as p=p0 cos(\frac{\pi...

Homework Statement This isn't homework, but I thought I would post it here as maybe more people would see it, and as I am not an engineer, it requires someone with more experience. The section is effectively an I beam with a hollow u shaped fitting along the top (see my rough sketch). I just...

Homework Statement A beam ABC is fixed in point A. There is an evenly distributed load q working on top of the beam. In addition there is a diagonal load F working at point C. Calculate force Ax, Ay and the reaction couple MA. The Attempt at a Solution Please see attached file...

Hi, first time poster, sorry if this is in the wrong area or has already been asked. I'm looking at a situation like this: except that instead of being lifted via hydraulics, a crane will be attached to one end. The other end will be attached to a concrete slab via a flange, so that it does not...

I was wondering if someone could have a look at my calculations. I believe I'm on the right track but I keep getting wrong answers, but I might be mixing + and - somewhere. I'm also a little unsure about the right way to incorporate the force working on top of the beam. The task reads: A...

If you have a beam with a force q evenly distributed on top of it, would this ƩMA= 0 B*3,3-Cy*5,5-q*4,3*2,15=0 or this ƩMA=0 B*3,3-Cy*5,5-q*4,3*2,15*3,35=0 be the right way to set up the moment point calculations? Basically what I'm unsure of is if I must incorporate the distance...

https://skydrive.live.com/redir?resid=22F7BBABD7DEE83B!136&authkey=!AP6uQQ9mR04UuAE Can anyone please help. I have calculated the area and Neutral Axis about xx and yy of a C section beam which I know is correct (see above link) I'm have difficultly calculating the 2nd moment of area...

Homework Statement Find reaction for given. one beam 15 ft long supported at end (R1) and supported 5foot in from the ohter end (R2). 2000 lbs load is location at the very end on the beam 5foot from r2 Homework Equations how do I determian the reactions? I know how to draw the shear...

Determine the shear-force and bending-moment equations for the beam. Then sketch the diagrams using the aforementioned equations if necessary to ascertain key points in the diagrams, such as the position between the supports where V=0. What is the bending moment there? The following is the...

Hi, I am new to this type of material and am hoping that someone may be able to assist me. In short I am putting a cantilever beam under test to determine its bending moment and stiffness (K value) in order to get a strain reading that can be related to an exact model in solid works. The...

A uniform simply supported beam, 5 m long and having a cross-section as shown, is to support a load which varies linearly from zero at the left hand support to a magnitude of 20 kN/m at the right hand support. Determine the position and magnitude of the maximum bending stress. ANS : 140 MPa...

I'm trying to model a Euler-Bernoulli beam to gather the total angular torque it will provide on a hub on which it is anchored. The beam is a cantilever, and I'm using the standard deflection equations which represent behavior to an applied force on the tip. You can solve for the force needed...

Here is the original question, i know the first answer as 182mm A square section cantilever beam, 3 m in length, carries a concentrated load of 10 kN at its free end. If the maximum bending stress is not to exceed 30 MPa determine the minimum dimensions of the section. Ans 182mm, What...

Homework Statement see attachment Homework Equations The Attempt at a Solution I think #1 is to find the bending moment equation, then use the principle of virtual work. I have no idea how to find the bending moment equation and which principle of virtual work to use. Any...