Deflection Definition and 530 Threads

Homework Statement The problem is to determine the maximum deflection when a person is standing on the beam in the attachment. E= 206.8 GPa, v=0.3 Homework Equations (although I am not completely sure if this one is relevant)The Attempt at a Solution I've thought a bit about the problem...

Homework Statement http://img.waffleimages.com/5b5524d885644e9f1c76a800c4b0701a0606268a/problem6.jpg (The image will not work unless it is copied and pasted into the address bar) I am given this drawing and stress v strain diagram, and am told to find the deflection, ∂, at 4 (the end of...

I'm teaching a class using Shigley's Mechanical Engineering Design. There is a section on deflection of curved members. If you have this text, you'll notice it calculates the strain energy in bending, axial, and shear, as usual. Then it says that there's another "negative" strain energy...

Homework Statement Hey, I was studying this problem and solution (by Rudy Arthur): http://www.feynmanlectures.info/solutions/maximum_angle_deflection_sol_1.pdf What I wasn't sure was why this solution only works for m<M. At which point did we restrict ourselves to m<M. How about when...

Homework Statement calculate the position from A where the maximum deflection occurs. Your answer should be accurate to 3dp. You may assume IE= 100Mn Homework Equations I'm going to go with EI d2y/dx2 = m (the 2 are meant to be squared) The Attempt at a Solution Is this equation...

someone please help not sure were to start. use the method of area-moments to derive an expression for the mid-span deflection of a simply-supported beam with the following properties: Span= L : second moment of area of section= I : modulus of elasticitiy= E which has a total UDL along...

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 am looking for a formula to give me the deflection of a dome if all dome perameters are known from a point load at the center of the dome towards the dome on the convex side. I do not have the Roark book so I need the actual formula, not just a reference.

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...

Homework Statement hi, iv just got a few questions and I am hoping someone can help me:) 1) so the relationship between load and deflection is liner but how can i explain it further? 2) and I am not sure about the relationship between deflection and span? 3) and what happens to bending...

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...

Homework Statement At work I am currently confronted with the following problem. How to theoretically calculate the deflection at the tip of a rotating beam with torque loading? y= unknown deflection at tip L= rod length E= Young's Modulus I= Moment Inertia Homework Equations...

Homework Statement A test particle approaches a planet of mass M and radius R from innity with speed v_{\infty} and an impact parameter p. Show that the eccentricity may be written e = 1 + \frac{2v_{\infty}^2}{v_0^2} where v_0 is the escape velocity at the pericentre distance r_0...

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...

Homework Statement Y = (IBX) / 2T I- current B-electric field T- temperature The maximum deflection will be in the middle of the wire (at x = 0). Let L be the total length of the wire, so that one end is at L/2 and the other at –L/2. Substitute this for x in equation 5 to find the maximum...

Homework Statement I'm given a 4m long beam that is fixed to a wall at the left end and is free on the other end. There is an external 50KN*m clockwise moment acting on the free end. I need to know the slope and deflection of the free end. Homework Equations d2y/dx2=M/EI The...

obviously an electron will change path when passing through a field could anyone point me to an equation which suggests how much electrons change path by - i guess it depends on mass, velocity (maybe in the form of momentum for the relativistic case I am think of?), field strength and the...

Hello. I'm trying to simulate a plate deflection using finite element analysis software ALGOR. Previously I made analytical calculations and I got the maximum deflection like this: (My plate is simply supported on all edges, so I used Navier's Method. Got the theory from Szilard's Theories and...

I have attached the original question and my attempt at the solution. I think I am on the right path but I am not sure. Can some one please direct me on if I am right so far and what to do if i am/ am not. Thanks

Homework Statement A smooth sphere A impinges obliquely on a stationary sphere B of equal mass. The directions of motion of sphere A before impact and after impact make angles α and β respectively with the line of centres at the instant of impact. show that cotβ=((1-e)cotα)/2 where e...

Hello Mighty Ones! I know from an FBI study that a bullet shot at a 90 degree angle into a metal plate, the splatter from the bullet goes out at a 20 degree angle. The question is... is there a rule or something that says if I angle that 90 degrees to angle down X degrees will the...

Homework Statement I am analyzing the deflection of clamped circle polysilicon membrane with radius=1500 um and thickness=1 um. The load is constant pressure ranging from 20 uPa to 20kPa. The problem is that my analytical solution doesn't agree with the ANSYS solution. Homework Equations...

I have an application where I have a shaft being supported from end to end with bearings (self aligning) and a motor hard mounted driving it. The shaft starts at 1 3/4" RD to accept motor and bearings. Then is welded to a 2" x 1/4" square tube for the output. It allows for a wooden roller to be...

Homework Statement I need to find the max slope and deflection of beams with several different types of loading on them. I need to first find a load function or a moment function. Then use integration (and boundary conditions or continuity conditions) to find an expression for the slope and...

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'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...

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...

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...

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...

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

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...

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...

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...

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 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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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

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...