Deflection Definition and 500 Threads

Homework Statement Derive an equation for the deflection using Macaulay's method. Hello all, New member here, I come across this forum for advice regularly and have decided to register :). I have been given a problem that is highlighted in the attached picture. I am competent in calculating...

Homework Statement I need to calculate the deflection equation. R1=33kN R2=32kN E=210GPa calculated I=5.4*10^-7 m^4 Homework EquationsThe Attempt at a Solution Is the equation correct? I'm not sure if I got the u.d.l. right.

For these types of question, I know deflection equation is needed to find the reaction. However, my question is that when should i use the max. deflection equation and when should i use only simple deflection equation for my calculation ? Thank you very much!

Hi Everyone, A question in my latest Physics I lab wishes for a proof showing that if a laser beam is incident on a mirror that is then rotated an angle θ the beam is deflected an angle 2θ. I attempted to prove this geometrically below. In the diagram the angle γ, is the angle of deflection...

Hello, I was recently reading relativity the general and special theory by Albert Einstein. When I came across the equation to calculate the angle of deflection for light as it approaches a massive body. I was just wondering if someone could explain why this works and also what "1.7 seconds of...

Hey all, So I have this beam problem and I honestly am lost with it! The beam is I-section cantilever, tapers in depth along its length (See picture attached) with a point load at the free end. I am trying to figure out the deflection formula and how to derive it! Also, when calculating its...

Homework Statement Using continuous beam theory, constructing BM diagram from points b to c, to calculate the max deflection. I only found a have a single solution, though the BM digram show two points of zero bending. I can provide the solution. [edit: Rb = 685 N] Homework Equations...

I have A beam of 1.2 m long, supports at 0m and 0.8 m. forces of 10 N at 0.4 m and 5N at 1.2 m I need to find the deflection equation for this situation. Can someone have a look and see if they can come up with the equation. As I have tried but my results do not match what I am expecting

Homework Statement For the simply supported steel beam [E = 200 GPa; I = 129 × 10^6 mm4], use the double-integration method to determine the deflection vB at B. Assume L = 4 m, P = 60 kN, and w= 40 kN/m. Can someone please help, when I insert x=2m into the equation i derived for M, and then...

Homework Statement I was trying to learn about this force, and came across a youtube video: . At 4.00 in the video, he says, "if the parcel of air continues to get deflected..." Why would it continue to get deflected? At 4.40 in the video, a girl rolls a ball while moving on a merry go round...

When buckling plate of both ends fixed, the deflection and the mode shape of the plate can be found from the equation: y=M(1-cos mx)/P. With this equation, the cross sectional area and the young's modulus of the plate is usually unchange. However, if the flexural rigidity of the plate is divided...

Hi, I have a task and don't know the good solution. (I add the picture of my task.) I need to find the right length and deflection and to check if the results didn't exceed the allowable stress. I know the value of "q" (force). Also I could choose myself the lenght, but I need to check, if my...

Dear all, I have pretty simple problem in terms of understanding but I can't write an analytical solution. Consider you have a laser beam (without divergence, single wavelength). You can see the intensity distribution on the screen perpendicular to the beam. Then you insert a thin glass layer...

Hello I was trying to calculate the horizontal deflection of the free end of vertical clamped beam. The beam would be loaded at the free end with a horizontal force H and a vertical force P. My idea was to calculate an initial deflection due to the force H. Then calculate the additional...

I thought this would be an easy lookup. However, after farming several sources, I couldn't find a discussion on it.. Anyway, my question is is this, does a shorter wavelength/higher energy photon bend more around a massive body than a lower energy photon? For instance, if we had two photons...

Homework Statement Find the deflection of light given this metric, along null geodesics. Homework EquationsThe Attempt at a Solution [/B] Conserved quantities are: e \equiv -\zeta \cdot u = \left( 1 - \frac{2GM}{c^2r} \right) c \frac{dt}{d\lambda} l \equiv \eta \cdot u = r^2 \left( 1 -...

Homework Statement Particle A of mass m has initial velocity v0. After colliding with particle B of mass 2m initially at rest, the particles follow the paths shown in the sketch (see attachment). Find ##\theta## Homework Equations collisions The Attempt at a Solution The momentum before and...

Homework Statement I need to plot a graph showing the deflection of the beam across its length giving a value of x at every 1m. The youngs modulus for the beam is 210 GNm^-2 and the moment of inertia is 54 X 10^-7 m^4 Homework Equations Really unsure where to start on this one. I have found...

Lets take an example of a person pushing a thick wall, of course no deflection in the line of action of force is seen but can strains be induced in it, like surface slips?

Homework Statement Problem shown as image jan2010 Q5.jpg Q5. a) Homework Equations Also shown in image The Attempt at a Solution Made a cut between A and the z-line, so ∑M = 0 = M - wx(x/2) = M - (wx2)/2 ⇒ M = (wx2)/2 and d2y/dx2 = -M/EI ∴ d2y/dx2 = - (wx2)/2EI So dy/dx = ∫ d2y/dx2 dx =...

Homework Statement A cathode-ray tube aims electrons parallel to a nearby wire that carries current in the same direction. What will happen to the cathode rays in terms of deflection? The Attempt at a Solution [/B]The Motor force deflects the cathode rays ?

Homework Statement Hello all, I am trying to find the deflection of a hydraulic cylinder at point A (refer the attached). There are two hydraulic cylinders, with certain distance apart. On top of it is a beam that is inclined to the horizontal by 12 degrees. The piston is operated by two...

Homework Statement Homework Equations After creating a FBD and analyzing the forces, I get the equation for the angle as ## tan \theta = \frac{k q^2}{m g r^2} ## The Attempt at a Solution [/B] I have tried to find a way to find the distance between the charges ## r ##, but the only way I...

Hi I am tackling a question which combines Beam deflection with Bending Virtual Load. I am wondering whether the displacement found at a point through complementary energy (virtual load) is the same an the deflection through beam integration at that same point? It maybe a stupid question but...

Homework Statement I was able to come up with an answer but I am not sure if its right. I get the value of 3.668 in for diameter and my friend gets 2.117 in. I get that value because I subtracted 1500 lb from 6000lb to get my force while he used 6000lb as his Force Who is right and why? Thank...

Hi, I have a problem with simply supported deep beam which has a uniformly distributed load. The beam is simply supported at both ends but I have to consider the results for the following 3 scenarios - where the support is at the bottom of each end of the beam - where the support is at the mid...

In the case of a beam of atoms passing between opposed magnets in a Stern Gerlach device and being deflected by the field into two different directions with 50:50 probability, could someone please clarify for me if there is a lower limit of magnetic field strength for this sorting effect to...

Hi I was wondering someone can show me how to calculate the maximum deflection using macauley methods, I have answered all the other questions really stuck now, Can you please show the working outs aswell. The document is on office 2010 format.

Hi, I am designing a beam to replace a load bearing wall. I have produced 2 separate UDL diagrams which, one for floor load and one for wall load. I am trying to find shear force and bending moment as in one for the total of the two diagrams. I know how to do it if the loads are spread...

Hello, Uncle have one question. How to calculate the deflection of the upper flange if the pipe configuration is like the attached picture. How to include the weight of the pipe, can I assume it as the distribution load? And what if there is another load acting downward at the middle of the...

Homework Statement The problem is a cantilive beam of length L with a triangular uniform load or W. The solution is to find the slope and deflection at the end by moment area method. My solution is not matching the textbook solution of wl^3/8EI and 11wL^4/120EI Homework Equations First...

Homework Statement I'm in the middle of a Year 11 open physics practical, and my partner and I have decided to attempt to find the angle of deflection of a stream of water when an electric field is placed near it. In order to do this experiment, we have a lot of 9V batteries, a voltmeter, a...

Hi All As shown in the attached image, I have a simply supported beam with a load of 150kN acting at the center of the beam span. E = 210 GPa rho = 7800 kgm-3 span = 250 mm After solving this in FE solver, I got maximum displacement to be ~4mm (at node 52) But, on using the theoretical...

Homework Statement Okay this is the problem I have: I have a Steel Channel beam which has an cross sectional height of 300mm. It is 150mm in depth. Its wall thickness is 20mm. This beam is 6meters long as has a 10kN/m UDL applied. It is fixed at one side and unsupported at the tip. I have...

I need help with this beam deflection problem for 1 the book my professor gave me almost everything is hand written including the beam stuff... SO I can't read it at all and its really frustrating trynna do this without being able to read the formulas or anything please helpp! I attached the...

Hello PF, First time here posting. So I have a question about trying to calculate the deflection of this prismatic beam by hand using superposition. I know I can figure it out in SolidWorks, but I also want to know I would do it by hand, or at least the general process. The angled bar b is...

Homework Statement An electrical engineer in your semiconductor company is working on a design of an electrical contact with a Si wafer. The electrical contact is in the form of a thin Cu “finger” touching the back side of a wafer as shown below. The electrical engineer claims that he is...

This was something mentioned in an electronics class today (it's an oscilloscope). I didn't copy it down when I should've, but I was listening rather than scribbling. I hope that I reproduced it properly. The professor was trying to explain how the cathode ray tube would emit electrons when...

How does the flap angle affect lift to drag ratio of a wing?

i have a 20.5ft c3x5 steel channel with a point load at the exact center and i wanted to determine its maximum deflection. the point load is 921.86lbs, and moment of inertia is 1.86in^4. modulus of E= 30,000,000psi

Hi, I am trying to understand the difference between GR and classical deflection of light by the Sun.I found this I do not now how to apply a 'weight sin3' so I worked out my own equation in which; R = 2.5c (7.5*10^10 cm) point of impact, x distance of light from R in light-seconds, r...

Homework Statement A child's hoop of mass M and radius b rolls in a straight line with velocity v. Its top is given a light tap with a stick at right angles to the direction of motion. The Impulse of the blow is I. a. Show that this results in a deflection of the line of rolling by angle...

Both the Newtonian theory on gravitation and the General theory of Relativity predict a change in the direction of a beam of light as it propagates past a large mass. Regardless of the precision of the Δ velocity component (the component that can represent the vertical shift towards a mass), If...

Homework Statement Find the initial wavelength of a photon that loses half its energy when it Compton-scatters from an electron and emerges at 90∘ to its initial direction of motion. The Attempt at a Solution Ei = Ef +KE Ei = 0.5Ei + KE Using compton's formula for scattering...

Hello you clever people, I'm having a bit of a logical problem with the deflection of a simple uniform cantilever beam loaded with a downward force on the free end. My intuition is that the beam would do something like this: But most literature, and my mechanics of solids course at uni...

Homework Statement The scientist changes the frequency of the incident X-ray to 4.50 x 10^19 Hz and measures the deflected X ray frequency of 4.32 x 10^19 Hz. What was the angle of deflection? Fi = 4.50 x 10^19 Hz Ff = 4.32 x 10^19 Hz 2. Homework Equations Δλ = λf - λi Δλ =...

Light is deflected in a gravitational field and this effect has been measured empirically, confirming the predictions of GR. Gravity is also deflected in a gravitational field according to GR, the geodesics for light and gravity being the same, but has any deflection of gravity ever been...

Analysis of scoop stretcher -- deflection and bending stress help I wanted to do a theoritical force analysis on the scooping part of scoop stretcher (a tapered rectangular plate). Can anyone suggest how to determine its deflection and bending stress ?

Homework Statement A parallel-plate capacitor has 4.0cm × 4.0cm electrodes with surface charge densities ±1.0×10^−6C/m2. A proton traveling parallel to the electrodes at 2.0×10^6m/s enters the center of the gap between them. Part A By what distance has the proton been deflected sideways when...

Hi guys, I have been a question to solve this week to do with deflections and slopes at the free end of a cantilever beam. I have calculated the deflection and slope for the point load and UDL, but I'm not sure whether to add them together or not?.. as they're both acting on the beam? A...