Deflection Definition and 529 Threads

I've been refreshing my mind with regards to solving statically indeterminate beam deflection problems. In an effort to achieve confidence over my solutions, I attempted to recreate the standard equations in Figure 1. In my problem, I changed it so that: a = b = L/2 Ay = R1 By = R2 etc...

I am a student of physics at a local Junior College in Mendham NJ and am planning on transferring to a 4 year program at the University of Alabama in a year. Iam having a bit of a difficult time understanding general relativity. Why does a photon bend twice as much under a gravitational field...

Homework Statement Not sure if this is the appropriate place to ask this question, but I didn't know where else to ask. Anyway. Let's assume that I have a film (or membrane) material that is stretched over some boundary, (lets assume a thin hollow cylinder). Then some constant force is...

How can I find maximum deflection in a column with one end fixed and other free?

Homework Statement In the problem, an election is moving though 2 charged plates vertical electric field amount is given and its perpendicular to the electron’s original horizontal velocity. The initial speed of the electron is given and the horizontal distance it travels is given. Then it...

Hi all I was wondering if someone could help explain what the area under a load vs deflection curve tells you. I have a concrete sample which I loaded until it failed. I plotted the load (kN) and deflection (mm) as shown below. My question is; if the curve in red can be represented as a...

For a photon passing close to the Sun, Newtonian physics predicts a deflection of 0.85o. GR gives the correct 1.7o. Can the true value alternatively be obtained via 1) a Newtonian model, and 2) gravitational time dilation: the photon's slower speed near the Sun leads to it spending more time in...

In his GR youtube talk ( , starting 24:30), Susskind shows that a light photon on straight path in a stationary frame has a curved path in an accelerated frame. Concluding, as did also Einstein, that gravity deflects photons. But exactly the same argument applies to massless particles. Meaning...

I have tried to searched for functions online and apply it, but still it does not work well. May I ask how can I solve symbolic simultaneous equations with Matlab? Or is there anything went wrong with my program? Homework Statement Consider a stepped beam shown in below. The beam is...

Homework Statement Homework Equations Singularity equations for beam deflection $$\sum M_B=0=-M_0-R_AL-M_0$$ $$R_A=-\frac{2M_0}{L}$$ The Attempt at a Solution I know how to use singularity equations and all that but my problem is calculating the force especially when moment is involved. For...

1. At pg.212, Hartle book (2003) writes equation 9.81 as an approximation of 9.80, directly. 2. $$ΔΦ=\int_0^{w_1}\frac{(1+\frac{M}{b}w)}{(1+\frac{2M}{b}w-w^2)^\frac{1}{2}}dw$$ equation(9.80) $$ΔΦ≈\pi+4M/b$$...

Homework Statement i) Determine the slope of the beam 1m from the wall. ii) Calculate the deflection at the free end of the beam. Homework Equations Macauly's method of deflection: M = -RX + W[X-a] Integrate once for slope Integrate twice for deflection The Attempt at a Solution [/B] It...

Homework Statement A monochromatic plane wave with wavelength 500µm is propagating through a dissipative medium with refractive index 1-0.0002i. It approaching the edge of the medium, and will pass out into free space. If the angle of incidence is not 90°, how much will the wave deflect as it...

Hello, I am looking for some advice on calculating the beam deflection on a setup described below. There is an "I Beam" sitting across the back of two lorry trailers with a uniformly distributed load in the middle of the beam. I am slightly confused as to what type of support this would be if...

Homework Statement Homework Equations Conservation of linear momentum Conservation of energy Energy-momentum relationship: ##E^2-(m_0c^2)^2=c^2p^2## Lorentz transformation of energy: ##p=\gamma(v)(p'+vE'/c^2)## ##\mathbf{p}=\gamma(v)m_0v##, ##E=\gamma(v)m_0c^2## The Attempt at a Solution My...

Homework Statement Beam spans 40 feet, with uniform loading of 500 pound/feet and a point load of 4000 pound at mid span. Support A is roller, support B is pin. How to determine the maximum moment and maximum deflection due to the loads. Use Force method Since it is a Determinate...

How do I compute the horizontal and vertical lateral deflection of the shaft?

My objective is to be able to calculate only vertical deflection of I-Beams (i.e. knowing which formula to use). Constants: Using a pair of I-Beams running parallel to each other with a single load being applied from directly above. The load sits on a steel plate across both Beams that are 4"...

Homework Statement Find reactions at ends and deflection at C Homework Equations RA + RE = 115kN ##\delta##Total = ##\sum## (PiLi)/(AiEi) The Attempt at a Solution RA + RE = 115kN Then apply superposition: (Get rid of RE) divide whole member into 4 elements and add. ##\delta##Total =...

I am working on deriving expression for deflection of a tapered beam with an elliptic cross-section. Hence, area moment of inertia is a linear function of the beam length. The beam is fixed at one end, and a concentrated force F is applied on its tip at the free end. I am using the known...

Hello, suppose we are given an achromatic prism consisting of two triangular prisms put together as it is shown on this webpage: http://www.schoolphysics.co.uk/age16-19/Optics/Refraction/text/Achromatic_prisms_and_lenses/index.html Imagine a light beam is send through the prism. My book claims...

So, I have heard that the deflection of starlight using Newtonian gravity is only half of the deflection predicted by Einstein. NE1 know where I can find an example of the former calculation? thanks

Homework Statement Homework EquationsThe Attempt at a Solution I assume that the particle is launched along the z- axis of the x-y-z frame which is fixed with the Earth and the Earth is rotating about the x – axis. Wrt an inertial frame, the particle will fall on A. The arc length...

Homework Statement hello, just came across this type of question for first time. A voltmeter with a range of 0-30volts is to be used to measure a 120 volt circuit. calculate the value of the resistor to be placed in series with the meter. the sensitivity of the meter is 1000 ohms per volt ...

Homework Statement Homework Equations The answer in the book is (4F(L^3))/3EI The Attempt at a Solution I felt the above question could be simplified into a standard beam problem. I choose the following beam. I used the Yc equation, but when I replace a with L I get an answer of...

1. 2. The equations are the equations of conservation of momentum: m1v = m1v1cosθ1 + m2v2cosθ2 0 = m1v1sinθ1 + m2v2sinθ2 3. I tried to solve it using the above equations and also tried using kinetic energy conservation since it's an elastic collision. But I can't work out the...

E=220GN/m² L= 7m W= 20kN at 2m from the left edge. udl=10kN/m from x=2 to x=7Beam supported in x=0 and x=7 I am not sure ir this is the way to do it.

Hi, I am looking for a formula that describes the deflection of an inclined rope that is fixed in both ends, the left end is at the origin and the right end is at (xB, yB). The known parameters are; the length between the ends is L, the length of the rope is l, the initial angle is β and there...

Homework Statement A particle of mass ##M## and speed ##v_1## bumps a particle of mass ##m##, ##(M >m)##, at rest. Find the maximum angle of deflection of ##M## after the bump.The Attempt at a Solution I would like to solve this problem in the reference frame of the center of mass, because it...

Hello, I have got results for a modal analysis (mesh of 150 shell elements) in ascii format. I have also got (from another process) forces to apply at each element; how do it compute the deflection? I get that it's a form of summation of all the modes, but I am stuck. Thanks! BB

Homework Statement Because of the Coriolis force, falling objects on the Earth are deflected horizontally. For instance, a mass dropped from a tower lands to the east of a plumb line from the release point. In this example we shall calculate the deflection of a mass m dropped from a tower of...

Hello, I found a derivation on NASA and several others that say something different. Can someone tell me which is correct? They differ by a factor of 3. This is confusing because some places say an object falling from 100m should deflect by 3cm but NASA says .16mm. Those are more different...

1. A hydraulic cylinder equipped with a helical coil compression spring(figure is attached). The oil pressure acts the spring and moves the boom from position 1 to position 2. Maximum boom load in position 1 F1max= 16550N Minimum boom load in position 2 F2min = 18550N cylinder load...

Homework Statement A beam is given with a constant load. Calculate the deflection at the end of the beam. Use the integration method or method of navier with delta functions. Homework Equations See equations in my attached file. The Attempt at a Solution The red load you see on the drawing is...

Homework Statement Refer to image attached. Lets say I have a deformable solid that is being accelerated by a force that is equally distributed along the back face of the Main Body that is drawn in the picture. Attached to this Main Body is a Wing. At high accelerations, there will be inertial...

Homework Statement A beam of length L is fixed on one end and roller supported on the other end. An axial force P is applied on the ends of the beam. The beam is loaded with a uniform distributed load (q) along its entire length. The beam has constant EI. Find an expression for the maximum...

Hiya, I'm been calculating stress and deflection in rectangle steel plate, I've been using two methods to see if I get the same results but i get different results. I want to confirm the methods I'm using and if I'm using them correctly. I have attached photos of my calculations, any...

I am curious how the deflection of a shaft changes due to rotation. In the force diagram image the green arrows show the rotational fixture locations and the purple arrow show the location of the applied force. The second image shows the deflection during a static test. If the force is applied...

Hi, I have carried out an experiment on 2 hoses. Hose A, a typical garden hose of 15mm OD 10mm ID and hose B a polyester woven lay flat fire type hose of 52mm OD 49mm ID. When inflated to 4 bar pressure hose A didn't straighten and was only seen to bulge in the circumferential direction...

Homework Statement In order to provide full scale deflection the coil current required in a galvanometer is 190μA and the resistance of the coil in the galvanometer is 35Ω - What is the value of the resistor to be connected in parallel with the meter so that full scale deflection is obtained...

Hi guys, I have a set of 2-D data in excel, an X and Y column. The X column ranges from ±200 and the Y column is a Gaussian distribution ranging from about 6 to 12. In total there are about 500 data points. I need to normalize the data so that the Y column values have endpoints at 0 for X=±200...

Homework Statement In the link at 12:35 , the author show the equation of the displacement of the beam without explaining , can someone try to explain why we need to use 3 Φ , 2EI / L , 2θa and 2θB ? I have no idea at all . Homework EquationsThe Attempt at a Solution

Homework Statement why the author said that by inspection , the maximum slope occur at D ? How do we know that ? He didnt show the working and explanation . Homework EquationsThe Attempt at a Solution If I consider the maximum slope to occur at a point after 2m from A , then i will take...

Homework Statement in the first photo , it's stated that the dy/dx at center = 0 , however , in the second photo (website) , it's stated that the dy/dx at the boundary = 0 ,which is correct ? I'm confused now http://www.geom.uiuc.edu/education/calc-init/static-beam/support.html Homework...

Homework Statement Find the deflection and slope of bending of beam Homework EquationsThe Attempt at a Solution [/B] Here's my ans , but the ans given is EIy = -4953 , but i gt EIy = -5078 , anything wrong with my answer ? for slope at A , i gt EI(dy/dx) = 0 instead of EI(dy/dx) =625

Homework Statement As in the diagram Homework EquationsThe Attempt at a Solution For part a ) , my ans is EI(d2y/dx2) = - Px For part b) , my ans is EI(dy/dx) = -P(x^2)/2 +c1 EIy = -P(x^3)/6 +c1x +c2 at x= 0 , y = 0 , so c2 = 0 , at x = 0 , dy/dx = 0 , so c1 = 0 , so , EIy = -P(x^3)/6 ...

Homework Statement Describe a method by which the charge / mass ratio e / m of the electron has been determined. Calculate the deflection sensitivity (deflection of spot in mm per volt potential difference) of a cathode ray tube from the following data: electrons are accelerated by a...

Homework Statement (a) What is meant by the statement that a solenoid has an inductance of 2.0 H? A 2.0 H solenoid is connected in series with a resistor, so that the total resistance is 0.50 Ω, to a 2.0 V DC supply. Sketh the graph of current against time when the crrent is switched on. What...

Homework Statement I am given this beam: imgur link: http://i.imgur.com/tw6EEJz.jpg and asked to express the slope at A and the max deflection in terms of a, E, I, and Mo. I am being told that my answer has the wrong multiplier...so I assume that my overall approach is ok (??) but I've...

Please could some help me get around this problem I know the derived formulas are all over the internet, but I wanted to prove it out myself. Its for a supported beam 2 end beam, worked out the max bending moment is M=PL/4. However I just can't seem to get the max deflection equation of...