Beam Definition and 1000 Threads

1.How do i derive the stiffness matrix for a beam with nodal linkage? ie the shear force at the first node is 0 but the usual shear and moment resistance is present for the second node. I thouth about solving the problem by just putting the first row of the stiffness matrix as 0 . Am i...

Homework Statement Need to know the bearing load for a linear slide I'm working on, two spaced bearings with an extended load off the end of the slide. Homework Equations What equation do I need to apply? What examples are out there? The Attempt at a Solution

Homework Statement Reproduce the diagram of the beam shown in Figure, and indicate where you would add conceptual pins to convert this to a corresponding determinate beam to allow approximate analysis of the beam. Using approximate analysis, draw a neat and labelled Bending Moment...

Im having difficulty figuring this question as their are not enough notes or guides on longitudinal shear on bolts. Shear flow(q/s) = VQ/I Yc = 100 I = 3.65 X 10^8 MM^4 Q = Ax Y' Q = 150 X 25 X 87.5 = 3281250 As analysing shear in the longitudinal which means taken consideration of...

Homework Statement A beam is built in at its end supports A and B, and is subject to a mid-span point load F. Using the method of successive integration, determine an expression for the deflection of this beam. Calculate the maximum deflection. Ignore any axial load effects. Homework...

Dear all I need collimating light from a Xe arc source. More in details, the white light source is coupled to a monochromator. In fact I need a circular collimate light beam from the monochromator with a diameter of 1-2 mm. At the moment I am using a (rectangular) slit in the monochromator...

Hi Please help me to know : if i have a laser beam with 5 millimeter diameter that reduced to 0.5 millimeter diameter with a lens, Can i reduced the 0.5 millimeter diameter beam to 0.05 or less that 0.5 with another the same lens...

Homework Statement A beam carries a uniformly distributed load, including its own weight, of 8 kN/m over its full length of 6 m. A point load of 300 kN is placed 2 metres from the one end of the beam which is simply supported. Calculate the maximum moment of resistance for the beam if it...

Homework Statement FIND MAXIMUM DEFLECTION AND ITS LOCATION (PLEASE SEE THE FIGURE)... THANKS Homework Equations The Attempt at a Solution

Homework Statement A parallel beam of neutrons with speed 200m/s is incident on an absorbing sheet with a slit of width 0.01mm. Calculate the width of the beam 10m behind the slit. Hint The slit localizes the neutrons transversely (y) to their propagation direction x. The resulting ΔPy gives...

Homework Statement Homework Equations ƩFx=0 ƩFy=0 ƩM=0 The Attempt at a Solution FBD of the entire thing: ƩMB = 780(0.3) + (5/13)T*(0.72) - (12/13)T*(0.6) = 0 T = 845N ƩFx = Bx + (5/13)*845 = 0 Bx = 325N ← ƩFy = By + (12/13)*845 = 0 By = 780N ↓ Now here is where I...

A rather simple question. A confinement of positively charged ions , a tube from the confinement and in the end of the tube a metal plate at a negative potential , if the charged ions are let to run towards the negative metal plate (which they would normally do) the plate would loose it's...

Im having difficulties performing stress analysis on a component i designed for a project. I've ran FEA in solidworks giving me the Von Mises stress and the displacement due to the load. My supervisor has asked me to back up the fea with hand calculations but I am have a hard time. The part...

I am a CSE researcher with a not so in depth background of physics. As a part of my research in object modelling, I am trying to computationally figure out the stress for various objects by using Finite Difference Method (not FEM which is the defacto standard for stress analysis). The reason for...

I want to know the analytical formulation for a beam or bar without crack and with crack subjected to tensile loading through mechanics approach.

Does anyone know of the drawbacks and future plans anything to look out for?

Homework Statement Okay, I am required to analyse the beam solving for all unknown reactions, both internal and external. From there, the Bending Moment Diagram and Shear Force Diagram are to be produced. Homework Equations The Attempt at a Solution So i sectioned the beam at the...

I need help comparing the deflection of pipe with two different cases. Case 1 is a regular non-tapering pipe. The case 2 is a tapered pipe that should deflect less than the straight pipe. I am working in MathCad and can change the value of my variables, so I have set the two cases to be equal...

Homework Statement In a prismatic bar (same cross sectional area throughout the entire length), the load applied to both ends is 100 N causing the member to be in tension. If the cross sectional area of the member is 5 cm2. What is the normal stress in the in kPa? Homework Equations...

Homework Statement A 30 kg neon sign is suspended by two cables, as shown. Three neighborhood cats (5.0 kg each) find the sign a comfortable place. Calculate the tension in each cable when the cats are in the positions shown...

Homework Statement In a scanning electron microscope, a 0.3 keV electron beam, collimated by an aperture of width ∆xi, is directed towards a target 1 m away from the aperture. Assuming a field-free region from aperture to target, the uncertainty ∆xf in the transverse coordinate of the...

Homework Statement Problem 10.36 The bar has cross-sectional areaAand modulus of elasticity E. If an axial force F directed toward the right is applied atC, what is the normal stress in the part of the bar to the left ofC? (Strategy: Drawthe free-body diagram of the entire bar and write the...

In the Stern Gerlach experiment it would seem that an electron beam moving at some velocity bisecting the upper magnet on a horizontal path would be radially accelerated perpendicular to the direction of motion. I am assuming from Lenz's Law this can be corrected by increasing the Bf...

Homework Statement So we have a source (OP) that emits single photons of a constant wavelength and angular frequency. The photons hit a 50-50 beam splitter, and are then reflected in the mirrors. Where is says (L) ou (SP) (yay for studying in French!) there is a beam splitter. What I...

Hi! I'm not sure this is exactly the right subforum, but here goes: Homework Statement So we have a source (OP) that emits single photons of a constant wavelength and angular frequency. The photons hit a 50-50 beam splitter, and are then reflected in the mirrors. Where is says (L)...

In the figures below is a sketch of an electron beam entering alternating static magnetic fields perpendicular to that of the motion of an electron beam. This beam is injected from a 45° angle below the x-axis. Figure 1 is a representation of this and is supposed to be an illustration of a basic...

Homework Statement Please visit my flickr link for a scanned image of the problem statement. http://www.flickr.com/photos/93763273@N05/8815418518/lightbox/ Homework Equations M/I = σ/y = E/R This is the flexure or bending formula. The Attempt at a Solution a) = 8.333 kN...

Hi, I have the following problem that I'm lost on. The answer is 41.4 rad/s2 but I don't understand how to arrive at it.Homework Equations ƩT=I(alpha) I=1/3 ML2 for a rod with axis through one end. The Attempt at a Solution I solved the above equations to get (alpha)=T/I, but no matter what...

Hi there, I have a problem regarding a simply supported C-section steel beam that I can't seem to get my head around. The beam is 6m long and supports a 15 Ton moving point load, the tensile yield strength of the steel is known and the structure must have a factor of safety of 3. The...

1)When we are asked to calculate the shear stress at AB should we consider the width as T or as 2T? 2)And when applying t=vq/it what sections should we take and is the value we found located on the bottom of the area?(I'm not talking about this beam but any beam in general) 3)And finally given...

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...

https://skydrive.live.com/redir?resid=3B1281F72DB8729B!122&authkey=!AIkfRcYK6Grz0jw Can anyone please help? See link for sketch and calculations. I have a M30 x 150 long stainless steel stud fully welded to a base plate that is under a load of 12.5 ton = 122583 N. Using Cantilever...

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...