Deflection Definition and 500 Threads

  1. A

    Beam deflection in a cantilever beam

    I need help finding the equation for a 25ft cantilever beam deflection where the beam has an even distributed load of 3000 lbs/ft and also has concentrated loads of 4000lbs 8ft from the clamped end and 5000lbs 18ft from the clamped end. A generic equation from a Roark table would do, but I am...
  2. M

    Calculating deflection of a tube

    I'd like to calculate the maximum deflection a PTFE tube of 65mm diameter and 5mm thickness. The tube is roughly 3m long and a 1.3m section will be unsupported, I want to know what the maximum deflection the end will experience under it's own weight. I've looked up it's tensile stength which is...
  3. E

    How Do You Calculate Deflection in a 2-Point Moment Beam?

    I am cerious how to calculate a simple 2 point moment using the formula Mm dx/EI Lets say i have a span of 43 1/2" with 2 5000lb loads 10 3/4" from each side. Each side is simply supported. My inertia of my beam is 4 I have drawn a moment diagram but i can't seem to translate it to...
  4. L

    Solving Electron Deflection in a Parallel Plate Apparatus

    Homework Statement Question Reads: An electron enters a parallel plate apparatus 10 cm long and 2.0 wide, moving horizontally at 8.0 10 ^7 m/s. if the potential difference across the plates is 600V, determine a) the vertical deflection of the electron from its original path...
  5. R

    Deflection at any point formula

    Good Afternoon Everyone, I am need of a little assistance. I am working on determing the precise stress at any point along a beam and would like a little help. I know the deflection at every point and would like an easy way to relate this back to stress. Any help...
  6. C

    Heat Deflection Temperature values of Weatherhead

    I can't find it online, does anyone know the HDT values of 1/4 ID weatherhead hose? Thanks.
  7. S

    What is the deflection of an electron in a CRT with given parameters?

    Homework Statement An electron with an initial speed of 7x106m/s is projected along the axis midway between the deection plates of a cathode-ray tube. The uniform electric field between the plates has a magnitude of 1000 V/m and is upward. F = 1.6x10-16N and acceleration a = 1.76x1014m/s2...
  8. G

    How Do You Calculate the Elastic Modulus from Beam Deflection Data?

    I have a force vs displacement graph of an I-beam that is supported by 2 pin joints, and 2 equal forces on top causing it to bend. I am required to find the Elastic modulus of the beam. How do I do this? Am I using the equation: E/R = σ/y = M/I, or turning the displacement into strain? I...
  9. C

    Calculating Deflection of a Rotating Flywheel with Load Applied at Known Radius

    I am trying to calculate the theoretical deflection of a flywheel on a large diesel engine in an attempt to use it in measuring generator efficiency. I need to theoretical values in order to better understand instrumentation needs. I want to run the test in place and space is very very...
  10. J

    Computing Beam Deflection Using Castiglianos' Theorem

    I am trying to find the deflection of the beam as described below, The beam has an overall length L and a load Q acting downwards at this point, the question is asking for the deflection of the beam at the point three quarters of the way along the beam. The beam has constant flexural rigidity...
  11. L

    Comparing Aluminum & Copper Deflection Angles

    Homework Statement The Shear modulus for aluminum and copper are 25GPa and 35GPa, respectively. An aluminum and copper pole, both the same length are subjected to the same shear force at the top of each pole, bending each pole a different angle y. Which pole has a higher angle of deflection...
  12. Q

    Deflection of light around a neutron star

    Homework Statement If a neutron star were bright enough to see its surface with a telescope, we'd be able to see not just the hemisphere facing toward us but also part of the far hemisphere. Explain why and estimate the latitude above which the far side could be seen. Homework Equations...
  13. I

    Beam Deflection Problem: Determining Slope and Deflection at a Point x on a Beam

    Homework Statement Determine the slope and deflection at the point x on the beam (attached image) Homework Equations Bending stiffness equation: EIV'' = M where E = young's modulus, I = second moment of area, V = deflection, M = moment The Attempt at a Solution By taking...
  14. T

    Proving Slope & Deflection of Cantilever Beam with Concentrated Load

    Homework Statement "for a cantilever beam with a concentrated load in the middle of the span, prove that the slope is WL2/8EI, and the deflection is 10WL3/96EI" Homework Equations the length of the span is L, the concentrated load is acting in the middle at L/2 The Attempt at a...
  15. diemilio

    Deflection of locally loaded beam

    Hi everyone, I'm an electrical engineer and I'm trying to find the expression for the deflection of a clamped-clamped beam under a local distributed load. I'm not very familiar with the way the expressions for deflection are obtained, but I've seen that they can be derived in a relative...
  16. Y

    Too close to maximum deflection or not too close to maximum deflection

    Homework Statement Calculating uniform and sometimes point loads on simple beams and the calculated beam deflections using ETLs (estimated tabular loads). My question in simply if I have found a deflection that is .005" less than the given maximum deflection, is it so close that if I don't...
  17. A

    Vertical deflection, stress, and strain Help

    The shear modulus of aluminum is 2.4 × 1010 N/m2. An aluminum nail of radius 7.5 × 10–4 m projects 0.035 m horizontally outward from a wall. A man hangs a wet raincoat of weight 25.5 N from the end of the nail. Assuming the wall holds its end of the nail, what is the vertical deflection of...
  18. S

    Deflection in a CRT: Problem more than halfway solved, stuck

    Deflection in a CRT, Potential Problem: Problem more than halfway solved, stuck Homework Statement In Fig. 24-32 an electron is projected along the axis midway between the deflection plates of a cathode-ray tube with an initial speed of 6.40 106 m/s. The uniform electric field between the...
  19. B

    Derivation of Deflection from Euler-Bernoulli Beam Equation

    Homework Statement I want to derive a formula for deflection w(x) from the Euler-Bernoulli beam equation. It's essentially only four integrations but I'm not sure about my boundary conditions, particularly wrt shear. The beam is a cantilever with a point load at the unsupported end. And...
  20. S

    Question about tension and deflection (Mechanics of Material)

    Hello everyone, I have some difficulties to solve this question in my homework. Homework Statement Picture http://img714.imageshack.us/img714/7953/picz.png Rigid bar ACE connected to rod AB, CD, EF which have same material and surface area A. Calculate tension caused by force P in...
  21. M

    Why Doesn't Calculating Chord Slope Work for Electron Deflection Angles?

    When asked to find the deflection angle for an electron passing through a parallel plate capacitor, for some reason my initial approach was to find the horizontal distance traveled and the vertical distance and then find the angle created by them. I got the wrong answer doing this and looked at...
  22. L

    I don't understand the light deflection calculus

    i am studing the book of weinberg of general relativity. in the part about light deflection weinberg perform the calculus of the angle deflection of a light ray bended bay a gravitational body. i don't how can evalute the integral. in other words i don't understand de taylor aproximation of the...
  23. D

    I Beam Size for 50,000# Tank: Get Help Now!

    I have a project and need help. I have a tank total weight full will be 50,000 # The I Beam frame supporting it is 220 inches long X 86 inches wide.supporting the I Beam will be four supports 146 inches X 84 inches. Can anyone tell me what size I Beam I need? Thanks
  24. D

    Help finding deflection of beam

    find the deflection of the beam at point B i drew the free body diagram of the beam and found that Ay=0 Ax=qL Cy=qL Cx=qL M(x)= (qL)*x - (qx)*x/2 +(qL)*<x-L/2> M(x)=(qL)x -(q/2)x2 +(qL)<x-L/2> EIΦ(x)=(qL/2)x2 -(q/6)x3 +(qL/2)<x-L/2>2 + C1 EIY(x)=(qL/6)x3 -(q/24)x4...
  25. K

    Predicted deflection of a rectangular steel beam

    Hi Im am trying to find out a predicted deflection of a steel rectangular beam of uniform cross section (which is 12.7mm wide x 6.4mm deep). The beam is simply supported at both ends and has a span of 660mm. The load is to be placed in the middle of the beam. I have the formula to be used...
  26. N

    Tapered beam deflection problem

    Hello everybody! So I have this beam beading problem I've been trying to figure out, (this is not a homework assignment) maybe someone can help. I have this beam that has a load at the midpoint. It's being simple supported on both ends and it's height tapers along it length on both sides. The...
  27. X

    Boundary conditions for a 4th order beam deflection equation

    What would the boundary conditions be for a fourth order differential equation describing the deflection (elastic curve) of a propped cantilever beam with a uniform distributed load applied? i.e. a beam with a built in support on the left and a simple support on the right. I need 4 obviously but...
  28. D

    Statics question about deflection

    Hi, I just have a question about the situation present below: http://img25.imageshack.us/img25/1409/staticstransrot.jpg So basically the goal is to find the deflections of points A, B, and C but I'm having trouble with analyzing this. At point A, there is a roller so the force will...
  29. K

    Having trouble finding the angle of deflection of light

    we have this picture http://img190.imageshack.us/img190/1128/60283381.jpg how can i find the angle of deflection? i must show that it is: sin(A+δ)/2 = n*sinA/2
  30. D

    Find the deflection of the following points

    in this question A1=8*10-4m2 A2=5*10-4m2 E=70*109Pa F1=-100*103N F2=75*103N F3=50*103N \sigma=F/A \epsilon=\sigma/E = \frac{F}{A*E} \delta=\epsilon*L = \frac{F*L}{A*E} \deltaB = \frac{F1*1.75}{A1*E} + \frac{F2*3}{A1*E} + \frac{F3*3}{A2*E} = 5.1785*10-3m but...
  31. E

    Microcantilever-direction of deflection

    Microcantilever---direction of deflection I was reading a paper on a microcantilever-based hydrogen sensor. Here's how the sensor works (as I understand it): The cantilever is coated with Palladium film. In the presence of Palladium, diatomic hydrogen splits into H atoms, which are absorbed...
  32. V

    Simple Deflection of a Cantilever Frame. .

    Homework Statement For the given frame, find the horizontal deflection at the tip of the frame (deflection)C. The frame has a uniform stiffness EI. http://img27.imageshack.us/img27/5493/83214722.png The Attempt at a Solution I don't actually have anything to show, all I want is a hint in the...
  33. S

    Deflection of tapered beam cantilever

    Hi and thank you for taking a look at my problem.. I'm very familiar with doing deflection calculations for beams of constant cross-section but I find myself needing to now do calculations on a beam of varying cross-section and I'm completely lost. It's a relatively simple case in that the...
  34. B

    Measure the deflection at the end of a beam

    Hi guys, I'm new to the physics world and am getting a bit confused with some of the terms used, stopping me getting the maths i need. Essentially I need to measure the deflection at the end of a beam, supported at one end. Like this...
  35. M

    Deflection of Beams - Rearrange formula

    Deflection of Beams - Rearrange formula [URGENT] Homework Statement Deflection for a simply supported beam... I calculated the deflection of it to be 9.72mm downwards, but there is a support 6mm from the original position and need to calculate the force on the support... The original...
  36. F

    Finding the max. deflection of the beam

    For the Electronic Bathroom Scale. The maximum load on a beam is assumed to be 75kg. (a) Find the max. deflection by using the Young’s Modulus E=200,000 N/mm². Is it small? Also see next page for the dimensions of the beam. Hint: For small deflection, tan phyter » phyter. Use the...
  37. N

    Maximum deflection in a timber beam

    Homework Statement Particle board flooring (dead load 8 kg/m2 including joist self-weight) is supported by a series of Radiata pine VSG8, of call size 150 x 50, timber joists running parallel to one other at 450 mm centers and spanning L=3.8 m between supports. The floor supports an imposed...
  38. H

    What Is the Charge to Mass Ratio of a Mystery Particle in a Thomson Apparatus?

    Homework Statement A mystery particle enters the region between the horizontal plates of a Thomson apparatus; its initial velocity is parallel to the surface of the plates. The separation of the plates is and the length of the plates is . When the potential difference between the plates is ...
  39. S

    Deflection of a particle between two plates

    I am studying for a test tomorrow and our prof gave us a practice test and I am confused on how to solve this problem A charged particle is accelerated through a potential of 15,000 volts, after which it passes between two deflecting plates. What voltage must be applied to these plates to...
  40. B

    Solving Beam Deflection Problem with Variable Moment of Inertia

    Hello, I am doing a problem for work where I use a deflected beam as a model. Basically, I am using a beam with two fixed ends and a force directly in the middle. The deflection equation for this model is: delta_max=FL^3/(192EI) This assumes I is constant through the entire beam...
  41. T

    How Do Cantilever Beam Calculations Determine Minimum Bending Stiffness?

    Homework Statement As in the attachment; cantilever beam with two UDLs and a point load of 1000N/m, 1000N, and 500N/m respectively. First UDL acts over the first 1m, point load at 1m, and the next udl over the next meter - so the total beam length is 2m. Max tip deflection is 2mm, what is the...
  42. E

    Crane, I-beam, max. deflection. HELP

    Homework Statement Ok. So, i have been giving the assignment of designing and testing an engine room crane for use on ship. I have designed a crane which has 2 i-beams which a trolley travels along. My questions are:- -How do i find the second moment of area of the I-beams? The equation i...
  43. B

    Southerly Deflection by Motion of the Earth

    Marion and Thornton Classical Dynamics of Particles and Systems 5th ed. Chapter 11 #13. Homework Statement (Refers to an example where they calculated the horizontal deflection from the plumb line of a particle falling in Earth's gravitational field). Take g to be defined at ground level and...
  44. J

    Relationship between load and deflection

    Hi, Below is a very simple answer as to what happens to a beam when it has a load applied. "When a load is applied to a beam, delfection occours. If not much deflection, then object is stiff. Linear relationship." How could i further explain this, or is this simple enough?
  45. S

    What is the Maximum Deflection of a Beam with a Point Load and Supports?

    Homework Statement A beam of I cross section rests on supports 8.00m apart, and carries a load of 70kN at a distance of 3.00m from one end. If the second moment of area is 2.8 * 104 cm4 and E = 210 kN/mm2, find the deflection at the load, and the position and magnitude of the maximum...
  46. G

    How to Calculate Slope and Deflection for a Cantilever Beam with Mixed Loadings?

    I have calculated one of the 2 questions successfully with it being a simply supported beam, now i am stuck on the remaining question. Previously i have used the double integration method. It is as follows: "A cantilever beam, 15m long has a UDL of 25N/m acting along its entire length and...
  47. M

    Deflection of box section - result Discrepancies

    Hello everyone, I have a beam deflection problem. I haven’t looked at deflections for a while now and I can't understand why my solution is a million miles out fro the results I have seen through testing. Problem: I have a beam made from 100x40x3mm mild steel box section which is...
  48. F

    Deflection by integration of load equation

    Homework Statement Determine the equation for the deflection curve for the cantilever supported at A with a load given by: q=q0*sin(\pix/L). Homework Equations The Attempt at a Solution I think this is pretty straightforward, but want to be sure. I did a similar problem with a...
  49. A

    What is the Deflection of a Simply-Supported Beam?

    Homework Statement Deflection of simply-supported beam problem. Please see the attached image of an example problem from a textbook: http://img14.imageshack.us/img14/619/hearnbeamproblem.png I have absolutely no idea why A = - (wL^3)/24 and why 0 = (wL^4)/12 - (wL^4)/24 +AL is used in...
  50. 0

    Electric Fields Question (deflection? :S? and more)

    Homework Statement An electron enters a parallel plate apparatus 10cm long and 2.0cm wide, moving horizontally at 8.0 x 10^7 m/s. If the potential difference acrros the plates is 600V: a) the vertical deflection of the electron from its original path. b) the velocity with which it...
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