Beam deflection Definition and 69 Threads

  1. 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...
  2. 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...
  3. 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...
  4. 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...
  5. 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...
  6. 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...
  7. 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...
  8. 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...
  9. 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...
  10. 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...
  11. 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...
  12. 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...
  13. 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...
  14. 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...
  15. 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)...
  16. 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...
  17. 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...
  18. D

    Slow neutron beam deflection by a magnetic field

    Is it possible for a beam of slow neutrons, to be deflected by a strong magnetic field? I have found something for a beta asymmetry in Wu experiments, but haven't understood much. Is it a particle physics subject?
  19. P

    Calculate the maximum beam deflection

    Hello- This isn't a homework problem, but a real life problem. I'm trying to size a beam for a set of stairs that I'm trying to design. I have some material picked out, and it looks strong enough, but when I try to run some numbers to confirm, they don't appear to match what I've experienced in...
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