Deflection Definition and 500 Threads

  1. M

    Calculation of large deflection of plates

    I want to calculate/preparing a spread sheet for large deflection of simple supported plates. I search for too many documents but all of them for small deflection d≤ t\2 (d deflection, t thickness of sheet). I found a website http://www.xcalcs.com/cgi-bin/tutti/x3calcs.cgi?d=i_4_2_1_0_0&l=en but...
  2. M

    Understanding Beam Deflection: Theory, History, and Formulas Explained

    Hey guys so I've been looking everywhere on the internet, and i can't find any theory and history on beam deflection. I understand the formulas and all but what is the theory behind it, who discovered the first rational answer to explain things etc.. Please Help
  3. L

    Angle of Deflection of an electron in an magnetic field

    Homework Statement Electrons first run through an accleration voltage of U = 25 kV before entering an homogenous magnetic field which is perpendicular to the electron beam (B=6*10-3 T). The starting velocity of the electrons shall be zero. What is the deflection angle α, if the magnetic...
  4. J

    Is my solution for deflection in framework correct?

    Hi there, The first thing I wanted to say (as I said the last time I created a new thread) is that this is NOT A HOMEWORK QUESTION! From the rules laid out, it says that homework for undergraduates and college students should go in the homework section. I have a degree in Mechanical...
  5. D

    Loads using pulleys in a deflection test apparatus.

    I am desiging a simple deflection test apparatus for my company. In the system I am using a few pulleys, a steel cable, a force gage, and a ratchet strap. I want to use the ratchet strap as opposed to dead weights so I can apply varying amounts of force to the test member. My question...
  6. M

    Cantilever Beam - Maximum Strain @ Deflection

    Hello Folks, I'm after a little help here, I've been asked to calculate the maximum strain a beam is under at a certain deflection, for a part we are planning to get Rapid Prototyped It is a rectangular beam attached to a wall at one end I have the material data sheet for the material...
  7. V

    Calculating Deflection in Ring Fixed at Center with Point Force

    How to calculate the deflection in ring, fixed at center, with a radial point force acting at some point(let say at theta=0) ? I have derived complete set of equations. Now how to apply boundary conditions ? to get a complete solution of 4th order equation, I need 4 B.C's, but here...
  8. A

    Flat Plate Deflection & stress - HDPE

    Hi, I'm trying to carryout some analysis of flat plates subjected to hydrostatic water pressures however the plate material is HDPE. The problem I'm having is that all the formulae on the web and in Roark's 7th Edition are typical of steel with a Poisson's ratio of 0.3. I can't therefore...
  9. B

    Stress, Deflection for a simply supported beam with UDL applied

    Could anyone please tel me how to calculate the Bending Stress, Compressive stress and the Deflection for any beam (UB 203x102x23) subjected to Uniform Distributed Load of 8063 N/m over a 8 m long beam (simply supported beam). Thanks all.
  10. L

    How is the Angle of Deflection in a Prism Calculated?

    Hi, Can anyone tell me how I get to the angle of deflection in a prism? How do I get to \delta=\alpha_{1}-\beta_{1}+\alpha_{2}-\beta_{2} Thanks for the help
  11. L

    Energy difference between stop and 90 degree deflection.

    Ok to make this easy let's start with a 10 lb Bowling ball (let's even say 10 inch diameter) moving at 10 mph. What is the difference in the forward force (energy) required to stop the ball verses the energy applied the move the ball through a 90 degree curve with a 20 inch diameter arc. In...
  12. W

    Load, Deflection, rotation, Designing basic beam?

    Homework Statement The problem is in attached. Desgining basic beam Homework Equations M = E*I(d^2*w/dx^2) slope = E*I (dw/dy) = integral of E*I(d^2*w/dx) + c1 deflection = E*I * (w) = double integral of E*I(d^2*w/dx) + c1x + c2 ΣM*= 0 ΣFx = 0 ΣFy = 0 Yb = ΣAY / ΣA I =...
  13. W

    Calculate Tip Deflection of Beam Under Applied Loads

    Homework Statement For the given beam (link), calculate the tip deflection for the given loadings. In addition to the applied load, the beam wt 2000 lbs/ ft. E = 30 * 10^6 psi I = 60 * 10^3 in^4 http://i52.tinypic.com/990xef.jpg Homework Equations deflection for the uniform load...
  14. D

    Bending and deflection of composite beam

    my question is regarding calculation of deflection of a composite beam, ie a beam with a cross section made up of 2 separate homogeneous materials. the methods i know for calculating deflections in homogenous beams are energy methods(catiglianos 2nd) and the elatic curve equations(second...
  15. S

    How does shaft deflection affect rotating machinery?

    Hey everyone, After a little help with some deflection caused by a rotating offset shaft. This is the scenario. We have a vertical shaft (165kg ~3.3m, supported at one end only) rotating at 14.67rad/s and getting some undesirable deflection and odd dynamic behaviour. I'm trying to...
  16. P

    Angular deflection problem in asteroid game

    I have written a computer game which involves 2D asteroids spinning and colliding with one another. Out of some kind of pride or something I wrote my own physics engine to handle the collisions, even though I never studied physics. (Please excuse therefore any incorrect terminology)...
  17. S

    Pressure Vessel End Cap Deflection

    Hey everyone, hoping someone can point me in the right direction with a deflection question. A pressure vessel I'm working on needs to be pressure tested before it can be shipped out to the customer, so I'm having a large plate cut to match the flange. The opening is about 1500mm in diameter...
  18. T

    Deflection angles of photons passing by black holes

    In trying to compute deflection angles for photons given their impact parameter (closest distance of trajectory to centre of black hole if unaffected) I am trying to numerically integrate the following equation (d^2/d(phi)^2)(u)+u=3Mu^2. However I am stuck as to how to work out the initial...
  19. ?

    Beam Deflection Equations and Boundary Conditions for Solving Homework Problems

    Homework Statement Homework Equations For small deflections: M=EI \frac{d^2y}{dx^2}The Attempt at a Solution To solve a problem like this, I think I was told I need to study the deflection and displacement of the beam. If I said that the deflection at points x=0 and x=3L have to be 0 then...
  20. T

    How Do You Calculate Angle Θ and Deflection Φ in Refraction Problems?

    Homework Statement here is a picture of what is given: http://img838.imageshack.us/i/physicsproblem.png/ I am supposed to find the measure of angle Θ and by what amount Φ is the ray deflected from its original path. from what is given i know that the angle of incidence is 35 degrees...
  21. S

    Mid-height deflection of a bar - Euler's Formula

    Homework Statement I think I've got part of this question but it's multiple choice and nothing that I've got matches any of the options we were given. I'd really appreciate it if you could help me out. A straight, vertical aluminium bar, 1.0-m in length and 12.5-mm x 4.8-mm in cross section...
  22. B

    Beta Emission and Atom Deflection

    I'm dealing with this problem for an MCAT review: Following beta-emission by a neutral atom at rest, the respective linear momentums of the beta(-) particle and the resulting atom are shown below. (see attachment for message) It wasn't too difficult to see that an extra force is in play, and...
  23. B

    What is the formula for calculating the maximum deflection of a bike axle?

    My Question... To find the maximum deflection of this axle, can the formula: (W*a/24*E*I)*(3*l^2-4*a^2) Will the total length simply be 370mm(wheel to wheel), or will I have to include the total length of the axle?
  24. K

    Deflection and Modulus of Elasticity

    Homework Statement Calculate the deflection at the end of a rod whose dimensions are 1m x 0.1m x 0.1m, when a load of 100N is applied. The modulus of elasticity is given as 1 x 1011 (N/m2) Homework Equations d = PL/AE where d = end deflection of bar in metres (in m) P = the applied...
  25. P

    Deflection and stress in a frame's vertical member

    Please refer to the diagram attached. I am trying to work out the peak stress and deflection of a vertical member in a simple steel frame. I know that the vertical member will be subjected to a buckling stress, but I'm unsure as to whether the moment about O caused by the cantilevered...
  26. Eagle9

    Can We Calculate Deflection of a Rod Placed on a Tall Building?

    Here we have got tall building standing on the ground and long rod. Rod’s one end is placed on the ground and the second one-on the building. Surely, the rod will be deflected due to its own weight and Earth’s gravity. Can we calculate the value of deflection if we know rod’s end, its...
  27. W

    Finding the deflection using the unit load method.

    Homework Statement A uniform beam, supported by a uniform strut, is loaded as shown in Figure (Attached). Using the unit load method, determine the value of the vertical deflection at C. BEAM: E = 205 kN/mm2, I = 90 x 106 mm4. STRUT: E = 205 kN/mm2, A = 1500 mm2. Homework Equations...
  28. R

    Deflection of a Beam: Simple Solutions for Calculations

    I have the following problem, which involves a two-dimensional curved and thin beam with profile given by y= f(x). You can assume that the beam is only weakly curved (and so slopes are all quite small). The beam's free-ends are both subjected to a force F1 and F2 (which will be given) and is...
  29. R

    Beam bending problem, calculate deflection of a beam

    Homework Statement The problem is to determine the maximum deflection when a person is standing on the beam in the attachment. E= 206.8 GPa, v=0.3 Homework Equations (although I am not completely sure if this one is relevant)The Attempt at a Solution I've thought a bit about the problem...
  30. G

    Mechanics of Materials - Deflection of a rigid bar

    Homework Statement http://img.waffleimages.com/5b5524d885644e9f1c76a800c4b0701a0606268a/problem6.jpg (The image will not work unless it is copied and pasted into the address bar) I am given this drawing and stress v strain diagram, and am told to find the deflection, ∂, at 4 (the end of...
  31. M

    What is the limit for using the equation for deflection when m>M?

    Homework Statement Hey, I was studying this problem and solution (by Rudy Arthur): http://www.feynmanlectures.info/solutions/maximum_angle_deflection_sol_1.pdf What I wasn't sure was why this solution only works for m<M. At which point did we restrict ourselves to m<M. How about when...
  32. S

    Loaded beams find where the maxinum deflection occurs on the beam

    Homework Statement calculate the position from A where the maximum deflection occurs. Your answer should be accurate to 3dp. You may assume IE= 100Mn Homework Equations I'm going to go with EI d2y/dx2 = m (the 2 are meant to be squared) The Attempt at a Solution Is this equation...
  33. T

    Deriving Mid-Span Deflection of Simply-Supported Beam

    someone please help not sure were to start. use the method of area-moments to derive an expression for the mid-span deflection of a simply-supported beam with the following properties: Span= L : second moment of area of section= I : modulus of elasticitiy= E which has a total UDL along...
  34. F

    Is Beam Deflection Indicated as North or South Using the Macaulay Method?

    Hi, quick question Ive been using the beam deflection forumla EIV=... and I am getting answers of 1.9mm for example does this mean that the deflection is in the south direction or north? Cheers
  35. T

    Beam deflection (area moments)

    just started looking at area moments. question i am stuck on is below. use the area-moments to calculate the mid span deflection produced by the given loadings, showing clearly all steps in the method and calculation: support condition: simply supported span: 7.20m section: 406x140x39...
  36. J

    Beam deflection by superposition

    Homework Statement In this problem, I'm trying to solve for the Reaction, Rb Homework Equations I believe for the distributed load, the deflection equation would be: v = (-qx/24EI) * (L^3 - 6Lx^2 + x^3) For the support, Rb, the deflection equation could be: v = (-Pbx/6LEI) *...
  37. T

    Dome Deflection Formula for Calculating Deflection from Point Load

    I am looking for a formula to give me the deflection of a dome if all dome perameters are known from a point load at the center of the dome towards the dome on the convex side. I do not have the Roark book so I need the actual formula, not just a reference.
  38. S

    Load and deflection (beam experiment)

    Homework Statement hi, iv just got a few questions and I am hoping someone can help me:) 1) so the relationship between load and deflection is liner but how can i explain it further? 2) and I am not sure about the relationship between deflection and span? 3) and what happens to bending...
  39. C

    Beam Deflection - UDL's and Point Loads

    Hello, I have tried for numerous hours to solve this and I'm getting no where, could one of you put me out of my misery? Homework Statement [PLAIN]http://img98.imageshack.us/img98/3240/beamloads.jpg The cross section of the beam is 20mm tall by 10 deep. 800mm length. Hopefully...
  40. O

    How to determine deflection of beam

    Homework Statement At work I am currently confronted with the following problem. How to theoretically calculate the deflection at the tip of a rotating beam with torque loading? y= unknown deflection at tip L= rod length E= Young's Modulus I= Moment Inertia Homework Equations...
  41. D

    Calculating Thermal Beam Deflection for Space Boom Arm Design

    Hey I am working with a group on a project where we basically have to design a boom arm for use in space. We've got most of the project figured out but there is a section where we have to determine the beam's deflection if the top side of the beam reached a 300 degree temperature while the...
  42. C

    Direct Integration Method for Deflection

    Homework Statement I'm given a 4m long beam that is fixed to a wall at the left end and is free on the other end. There is an external 50KN*m clockwise moment acting on the free end. I need to know the slope and deflection of the free end. Homework Equations d2y/dx2=M/EI The...
  43. R

    Relativity at cern - deflection

    obviously an electron will change path when passing through a field could anyone point me to an equation which suggests how much electrons change path by - i guess it depends on mass, velocity (maybe in the form of momentum for the relativistic case I am think of?), field strength and the...
  44. R

    Plate deflection theory vs FEA: same problem, same parameters, different results

    Hello. I'm trying to simulate a plate deflection using finite element analysis software ALGOR. Previously I made analytical calculations and I got the maximum deflection like this: (My plate is simply supported on all edges, so I used Navier's Method. Got the theory from Szilard's Theories and...
  45. M

    Deflection Of Beams: Moment Of Area Method Help

    I have attached the original question and my attempt at the solution. I think I am on the right path but I am not sure. Can some one please direct me on if I am right so far and what to do if i am/ am not. Thanks
  46. O

    Maximum angle of deflection after collision

    Homework Statement A smooth sphere A impinges obliquely on a stationary sphere B of equal mass. The directions of motion of sphere A before impact and after impact make angles α and β respectively with the line of centres at the instant of impact. show that cotβ=((1-e)cotα)/2 where e...
  47. F

    How Does Angling a Steel Target Affect Bullet Deflection and Energy Absorption?

    Hello Mighty Ones! I know from an FBI study that a bullet shot at a 90 degree angle into a metal plate, the splatter from the bullet goes out at a 20 degree angle. The question is... is there a rule or something that says if I angle that 90 degrees to angle down X degrees will the...
  48. S

    Membrane deflection: theory vs ANSYS

    Homework Statement I am analyzing the deflection of clamped circle polysilicon membrane with radius=1500 um and thickness=1 um. The load is constant pressure ranging from 20 uPa to 20kPa. The problem is that my analytical solution doesn't agree with the ANSYS solution. Homework Equations...
  49. E

    Calculate deflection with a varying inertia and material beam

    I have an application where I have a shaft being supported from end to end with bearings (self aligning) and a motor hard mounted driving it. The shaft starts at 1 3/4" RD to accept motor and bearings. Then is welded to a 2" x 1/4" square tube for the output. It allows for a wooden roller to be...
  50. D

    Maximum slope and deflection of beam

    Homework Statement I need to find the max slope and deflection of beams with several different types of loading on them. I need to first find a load function or a moment function. Then use integration (and boundary conditions or continuity conditions) to find an expression for the slope and...
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