Deflection Definition and 530 Threads

  1. 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...
  2. D

    How Do Stress and Angle of Deflection Relate in a Thin-Walled Tube Under Torque?

    A thin- walled tube has been fabricated by bending a metal plate of thickness t into a cylinder of radius c and bending together the edges of the plate. Torque T is then applied to the tube, producing a shearing stress S1 and an angle twist P1 . Denoting by S2 and P1 , respectively, the...
  3. 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...
  4. 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...
  5. 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...
  6. 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
  7. 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...
  8. 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...
  9. 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...
  10. 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...
  11. 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...
  12. 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...
  13. 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...
  14. 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...
  15. 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 ...
  16. 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...
  17. 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...
  18. 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...
  19. 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...
  20. 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...
  21. 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?
  22. 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...
  23. 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...
  24. 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...
  25. 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...
  26. 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...
  27. 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...
  28. B

    Deflection of beam formula NOT considering loads

    The actual deflection formula: v= wx(Lx2-x3-L3) EI 12 24 24 24 requires me to consider load then shear, bending moment, slope and finally deflection. Is there any way it can be found directly without considering the above?
  29. M

    Approximate Maximum Deflection Of Beam

    Homework Statement Estimate the approximate maximum deflection of the electron beam near the center of a CRT television screen due to the Earth's field. Assume the screen is 20 from the electron gun, where the electrons are accelerated by the following voltages. Note that in color TV sets...
  30. T

    Electron Deflection in Parallel Plate Capacitor

    Homework Statement A Problem of Practical interest is to make a beam of electrons turn a 90 degree corner. This can be done wit ha parallel plate capacitor shown. An electric with kinetic energy of 3.0x10^-17J moves up through a small holes in the bottom plate of capacitor. What is field...
  31. P

    Double slit photon deflection

    What is the force that acts on a photon that causes its path to deflect when the second slit of the double slit experiment is opened? Assuming that my understanding of the experiment is in the ball park. With one slit open the photon lands in one place but with two slits open it lands in...
  32. P

    Help with Solid Mechanics Assignment: Stress, Deflection, Beams, Macaulay's

    i have an assignment due this thursday, it has 9 questions, i was able to solve five of them. but for some reason i missed most of the classes in second term so i don't understand anything about the last four questions. the questions are: Question 1: A beam is simply supported and loaded...
  33. D

    Deriving 3D Deflection for Cylindrical Coiled Spring

    Hi Sorry if this is the wrong place to post this as it is probably more of an engineering question. I'm trying to derive the extension of a cylindrical coiled spring in terms of E (YOUNG's modulus, K(bulk modulus), No of turns per metre, spring diameter, (D), spring length (l), wire...
  34. L

    How to get stresses in a beam with known deflection

    Hello! I have a elastically bedded beam that is subjected to a pointload on the top of the beam. I have managed to solve for the deflection in the beam. Can I use this deflection to get the stress somehow? Thanks
  35. V

    Deflection of a beam with non-uniform section

    Hello all, How to find deflections at force acting points in a non-uniform beam?. Please look at the figure. Thank you. Best regards
  36. J

    Gravitational Lensing Deflection angle

    Does anyone know where I could find (online) a derivation of the deflection angle in gravitational lensing: alpha = 4GM/Rc^2 Thank you
  37. B

    Proton deflection in a capacitor

    Homework Statement A proton traveling at a speed 1.0*106 m/s of enters the gap between the plates of a 2.0-cm-wide parallel-plate capacitor. The surface charge densities on the plates are 1*10^-6 C/m2. How far has the proton been deflected sideways when it reaches the far edge of the...
  38. C

    Circle Deflection: Calc Outbound Angle After Collision

    how do u calculate what one circle does when it collides with another circle at a specific point on a specific heading? I need to know how to figure out the outbound angle that the circle will travel on after colliding.
  39. L

    Deflection of a solid body with different cross sectional areas

    Hello! I want to know the deflection at certain points in a solid body with different cross sectional areas. A force (F) is applied at one of the different sections. I want to know the deflection where the force is applied and what the deflection is on the other parts of the body. Im going...
  40. M

    What is the Angle of Deflection in a Colliding Ball and BB Gun Problem?

    Homework Statement A 280 g rubber ball is hanging from a 27cm long swing in a booth at a carnival. A little girl shoots it with a BB gun in attempt to win a gigantic, stuffed Daffy Duck doll. The mass of each BB is 3g and the muzzle speed of the gun is 21m/s. If the BB penetrates the ball...
  41. S

    Deflection at any point in fixed beam

    give formula or reference for finding deflection at any point in beam (fixed at both ends) due to couple acting intermediate in the beam? its urgent...
  42. C

    Deflection of plasma stream near magnetically-responsive surface

    Homework Statement I'm trying to work out a theoretical problem, and I don't know how to approach it. Suppose I have a charged gas that is traveling near the surface of a magnetically-responsive solid. I would expect the charged gas to be generating a magnetic field. I would also expect...
  43. F

    Exploring the Relationship between Cantilever Length and Vertical Deflection

    I was to find a relationship between the horizontal length of the cantilever and the vertical deflection when a fixed mass acts on the end of it. So the independent variable is the length of the cantilever and the dependent variable is the vertical deflection i.e. vertical distance. I've been...
  44. H

    Calculate Beam Deflection at C using Superposition

    Hello, I am supposed to find the change in position at c by superposition. But I don't really know how all the parts will act together. Can someone please help? I do see that when AB is made longer by a 12 kN force, C will rotate down. And C will also go longer down because of the 9 kN force...
  45. T

    Object dropped from tower with deflection problem

    Homework Statement a) An object with mass, m, is dropped from height, h, in a tower located at latitude 30 degrees to the north from the equator. How far will it be deflected? Please derive the deflection in terms of Earth's rotation angular velocity omega, h, g, and m. This part needs...
  46. B

    Bending of Beams - Deflection - Stress - Strain

    Homework Statement A beam of lengh is supported in a clamp system. distance between clamp is 1m. Loads applied at 250mm and 750mm. strain gauge fitted at 175mm with 100ohm resistance. Weight is applied at points a and b. Homework Equations Dont know? The Attempt at a Solution I...
  47. D

    How to Calculate Thin Plate Deflection for a Point Load at the Center?

    Hi. I have been doing some FEA modelling with solid works and am trying to calculate my deflection for a point load at the centre of a clamped periphery (not simply supported) circular thin plate. I need to calculate the theoretical values to make sure that my FEA is correct The formula I...
  48. D

    Electric field between two deflection plates

    Homework Statement In a cathode-ray tube (CRT), an electron travels in a vacuum and enters a region between two "deflection" plates which have equal and opposite charges. The dimensions of each plate are 12 cm by 4 cm, and the gap between them is 2.5 mm (not to scale in the diagram). During a...
  49. B

    Calculating Max Upward Deflection of Beam

    1. Derive an expression for the vertical deflection v of the beam of figure Q1 b) if E=200GPa and I= 750*10^-6 m^4, find the position and magnitude of the maximum upwards vertical deflection. http://photos-d.ak.facebook.com/photos-ak-snc1/v319/114/101/695150024/n695150024_1209371_3981.jpg...
  50. M

    How Do You Calculate Force on a Water Jet Deflected by a Plate?

    Homework Statement A jet of water going through a nozzle is deflected by a flat plate. Get Q, Velocity, Force The volumetric flow rate of water through the nozzle is 10 Litres in 7 seconds The water temperature is 20 degrees celcius. We are using a flat plate so theta = 90 degrees...
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