Deflection Definition and 500 Threads

  1. 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?
  2. 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...
  3. 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...
  4. 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...
  5. 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...
  6. 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...
  7. 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
  8. 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
  9. 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
  10. 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...
  11. 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.
  12. 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...
  13. 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...
  14. 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...
  15. 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...
  16. F

    How Does Cantilever Length Affect 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...
  17. 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...
  18. 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...
  19. 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...
  20. 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...
  21. 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...
  22. 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...
  23. 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...
  24. J

    Deflection of bullet by Earth's magnetic field

    Homework Statement A 0.0034kg bullet moves with a speed of 160 m/s perpendicular to the Earth's magnetic field of 5E-5 T. If the bullet has a net charge of 13.5E-9 C, by what distance is it deflected due to the magnetic field after it has traveled 1000m?Homework Equations radius = mv/qB theta...
  25. Q

    Cantilever Deflection: Equation for Uniform Load

    It's been a while since I've studied mechanics. Would someone remind me as to the equation for the deflection of a cantilever beam with a uniformly distributed load on only a part of the beam? I remember the equation for a load on the entire beam is (wL^4)/(8EI) thanks.
  26. A

    Reducing Shaft Deflection with Stepped Shaft Geometry: A Theoretical Study

    Dear all I have been given task of to reduce the deflection of overhanging shaft. shaft geometry is stepped one.If we increase the load acting diameter cross section immediately we can reduce the deflection but our constraint is we cannot change that one.So what i have done ,i have changed...
  27. S

    Electric field and magnetic field - proton deflection

    Homework Statement when protons traveling north in a horizontal plane enter a region of uniform magnetic field of 0.8Teslas in the downward direction, they are deflected into a horizontal circle of radius 0.2 meters. what is the magnitude and direction of a uniform electric field applied...
  28. A

    How to Derive Beam Deflection Formula for a Double Cantilever Simple Beam?

    Homework Statement hi i am currently trying to mathcamatically derive the beam deflection formula for a double cantilever simple beam. i have the beam deflection formula y= (FL^3)/(48—Iε) as well as M ymax / I as well as 1/p = M/EI but am not sure how to link them together. any help will be...
  29. T

    Understanding Beam Deflection in Double Cantilever Beams

    Homework Statement Can someone please tell me why in a double cantilever beam (fixed at both ends) the deflection increases when the length increases, the defelction decreases when the width increases and the deflection decreases when the thickness increases. I don't want to no why it does...
  30. A

    How was the max deflection formula derived?

    does anyone know how the formula for calculating max deflection was derived? The formula is (Force x Length^3)/(48 x E x I). I think it was through intergration but if anyone knows more could you please let me know? thanks! :)
  31. S

    Magnetic/electric particle deflection

    Homework Statement a particle having mass of 10^-30 kg and a charge of 10^-18 coulombs and an energy of 5000eV is fired into an electric field produced by two parallel plates. the electric field between the plates is 10V/m and the length of the plates is 0.4 m, how much deflection d, will the...
  32. N

    Angle deflection from gravitational lenses

    Hi all The expression for the angle deflection on the following page: http://relativity.livingreviews.org/open?pubNo=lrr-1998-12&page=node2.html Is the impact parameter r in the expression the distance to the surface of the objects that deflects the light or the the center of mass of the...
  33. B

    Calculate Max Angle of Deflection for Ball on Cord

    Homework Statement A ball with a mass, m1=0.24 kg, initially moves to the right with a speed of 5m/s. The first ball then has an elastic collision with a second ball with a mass of .56kg which is initially at rest. The second ball is suspended just above the table by a cord which is 1.5 meters...
  34. L

    Calculating Deflection and Shear Flow in Riveted Beams

    Homework Statement A beam loaded by a central point load deflects a quantity, e.g. d. If an identical beam is laid on top of the first beam and the same loading is applied the deflection drops to d/2. In this loading situation the ends of the beam are not aligned. When the beams are joined...
  35. S

    Need help with multi-segment deflection problem

    Homework Statement There is a uniform, horizontal beam 4.8m in length supported by a pin at x = 0 and a roller at x= 3.2m. There is a distributed weight of 12kN/m from x = 0 to x = 1.6m. There is a concentrated, vertical force of 2.4kN in the downward direction at x = 4.8. Find the...
  36. R

    How do I calculate the deflection angle in a bowling split conversion?

    [SOLVED] Deflection Angle Hey guys, back again lol, got a really quick question: In order to convert a tough split in bowling it is necessary to strike the pin a glancing blow as shown. Assume that the bowling ball, initially traveling at 12.0 [m/s], has five times the mass of the pin and...
  37. H

    What Are the Derivations and Uses of Beam Deflection Formulas?

    i have two different beam deflection formulas, one for rigid supports and one for simple supports - but i know there are many different ones out there. i was wondering if anyone could tell me how the formulas were created, oh and also what exactly does moment of inertia have to do with...
  38. O

    Current through a wire and electron deflection

    so i know this is a classical experiment but I am having trouble understanding this idea. basically the experiment shoots an electron at a current charged wire (current coming "out of the page"). Does increasing/decreasing the current change the trajectory of the electron. and if so/if not...
  39. C

    Deflection and stress in a complex structure

    Hello, I have a issue which is concerned with finding the defelction and stresses in a beam. I have attached a rough figure of the beam. Please help me by giving some suggestions. thanks chaitanya
  40. E

    Bending Deflection at Given Points

    Beam Deflection I am trying to calculate beam deflection for a number of points? I know the formula for maximum deflection, but i need to calculate the deflection when. Lengh = 1m Possition 1 = 0.5m Possition 2 = 0.75m - I apply a weight to possition one, and need to measure...
  41. E

    Superposition to a beam to calculate or show beam deflection

    Homework Statement Apply the principle of superposition to a beam to calculate or show beam deflection. Homework Equations Maximum Deflection. (WL^3) / (48EI) Equation for possition two, when possition two is 3/4 or 1/4 of the total beam lengh (Cant figure out the above)...
  42. D

    Beam Deflection in a Television Tube

    [SOLVED] Beam Deflection in a Television Tube Homework Statement Each of the electrons in the beam of a television tube has a kinetic energy of 10.8 keV. The tube is oriented so that the electrons move horizontally from geomagnetic south to geomagnetic north. The vertical component of Earth's...
  43. A

    Deflection of Plates: Calculating Voltage and Displacement | SOLVED

    [SOLVED] Deflection of Plates Answer choices: A) 63V B) 112V C) 520V D) 642V E) 882V y = .5cm = 5 x 10^-3 m x = 3cm = 3 x 10 ^-2 m angle = 10 degrees acceleration(a) = ((1.602 x 10^-19) (15000))/(9.11 x 10^-31) = 2.6 x 10^15 m/s^2 Force(F) = 2.6 x 10 ^15(9.11 x 10^-31) =...
  44. S

    Deflection angle of a ray grazing the sun

    I saw in a website that Einstein found the deflection angle of a ray grazing the sun through this relation alpha=4GM/c2r=1.74 arc sec but when i used this relation by giving values i didnt get this value 1.74...wats wrong..can anyone solve this ...
  45. J

    Deflect Steel Plates for Crane Outriggers

    I am placing a small crane on a concrete deck. The deck live load is 760psf. The crane is 17,260lbs. Each outrigger base plate contacting the deck has a surface area of .75 sq. ft. This gives a load of about 5753lb on each base plate. I am going to use steel plate (A36 plate) under the...
  46. T

    Deflection of beam due to magnetic field

    [SOLVED] Deflection of beam due to magnetic field Homework Statement In the electron gun of a TV picture tube the electrons (charge - e, mass m) are accelerated by a voltage V. After leaving the electron gun, the electron beam travels a distance D to the screen; in this region there is a...
  47. P

    Electron deflection in a cathode ray tube

    Homework Statement An electron in a cathode ray tube is accelerated through a potential difference of ΔV = 11 kV, then passes through the d = 4 cm wide region of uniform magnetic field. What field strength (in mT) will deflect the electron by 10(degrees)? (Hint: is it a reasonable...
  48. S

    Beam Deflection Using Work Methods

    Homework Statement Find deflection at point of load application. Homework Equations See attached. The Attempt at a Solution I know the equation to use, but I have NO idea how to apply it here. Also - can't use virtual work. The problem explicitly states real work. How on Earth...
  49. P

    Calculating the Y-Component of an Electron's Velocity in a High Voltage Field

    Homework Statement An electron with an initial velocity of 4.7 x 10^7 m/s in the x-direction moves along a trajectory that takes it directly between the center of two 20 cm x 20 cm plates separated by 1 cm. The plates are connected to a high voltage power supply so that the potential...
  50. T

    Deflection of an electron due to gravity.

    Homework Statement There are two parts to the question. A)Why is gravity not important during JJ Thomsons experiment? b)what is the deflection due to gravity? Given variables. In a thomson spectromoter set at 10^4 (V/m). deflection without the magnetic field applied equals .10 radians over a L...
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