Beam deflection Definition and 76 Threads

Am i right in saying i can use this formulae: - W/EI((x^3/12) - (xL^2/16)) + w/EI((Lx^3/12) - (x^4/24) - (xL^3/24)) please help. See attached question. Question aii. Thanks

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

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...

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

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...

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) *...

I'm attempting to find the location and value of the maximum deflection in a beam using macaulay's method. the questions asks to show that the max deflection occurs at 492mm from the left hand support and find the value of the deflection. the beam is simply supported, length 1115mm. I is...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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)...

[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...

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...

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?

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...