Deflection Definition and 530 Threads

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...

Homework Statement A galvanometer of resistance 40 Ω requires a current of 10 mA to give a full-scale deflection. A shunt is put in position to convert it to a meter reading up to 1.0 A full-scale deflection. A resistance bobbin, intended to convert the galvanometer to one reading up to 1.0 V...

Homework Statement Two rods of the same material, of equal length l, and of cross section A and 2A respectively, are mounted between two rigid (i.e., nondeformable) cross frames. The frames are pulled by a pair of forces P, located at distance x from the thin bar. Derive an expression for the...

In deriving the expression for the deflection Φ of light around a massive body, invoking Huygens' principle, Einstein arrived at the equation: dΦ/dx2 = dγ/dx1 where γ is the speed of light in units of c, and the xμ are space coordinates. How is this equation arrived at?

What about the attached as a means of propulsion? It would be a spacecraft with a long magnet in the front. Attached on one side by boons the magnet would have a reflector/deflector or shield of some type e.g. aluminum. In interstellar space there would be charged cosmic particles moving in...

Hi Could anybody guide me to a software that can be used to design a non linear spring from load deflection characteristics. need it for both extension and compression spring. thanks noor

What happens if I turned off large deflection in a simulation which has large deflection in Ansys workbench ? should the solution be totally wrong ? will it fail to solve ?

Homework Statement in the notes , i don't understand the circled part . I don't understand why the circled part moment M is in anticlockwise direction ... Shouldnt it be in clockwise direction ? Homework EquationsThe Attempt at a Solution As we can see , the P at the one end will cause the...

Homework Statement for the circled part, why the why the author didnt include -12(9)kNm moment in the equation of moment ? [PLAIN]http://imgur.com/a/l3Bu4http://imgur.com/a/l3Bu4 Homework EquationsThe Attempt at a Solution IMO, the author should include it in the equation, am i right? So, M=...

I have a plate of 600mmX92mmx2mm. All the four sides are fixed.How can I calculate the effective deflection at the center due to self weight considering the deflection in longitudinal and transverse direction? Density of material 1170kg/m3 Modulus of elasticity 2.5GPa

Homework Statement http://www.mathalino.com/reviewer/mechanics-and-strength-of-materials/solution-to-problem-625-moment-diagrams-by-parts) from the link , why the distance of centroid from B is (4/3) and (9/4) as shown? Homework EquationsThe Attempt at a Solution it should be (4- (2/3) ) and...

Homework Statement determine deflection of beam Homework EquationsThe Attempt at a Solution at x=0, y=0 , i found that C2 = LP(a^2)/6 (circled part) but the author gt 0, which is correct?

Homework Statement can someone explain about the RHS of EIy' and EIy'' ? how to get the RHS of EIy" from RHS of EIy' ?? It's not integration of dx , am i right? Homework EquationsThe Attempt at a Solution if it's integration of dx, it should look like this , right?[/B] EIy' = 0.25P(x^2) -...

I am calculating the strain in a cantilever beam with a point load for a given deflection. The deflection is around .5mm for a beam that is just over 5mm long (width is 3.8mm and height is 0.15mm). I was told for the assumption of small deflections to be valid, deflection should be 2% of the...

I am trying to derive the strain at the base of a cantilever beam with a known deflection. I know the bending stress is equal to Mc/I, so the strain is Mc/IE, where c is the distance from the neutral axis. For a point load ,P, the strain would then be PL/IE. Since the deflection is known I...

This is the problem I am looking to solve: given two objects of different mass, find the angle of deflection after an elastic collision for each object. For both objects we know: m : Mass in Kilograms θi : Initial Angle in Degrees si : Initial Speed in Units per Second sf : Final Speed in...

Can the deflection curve of the beam in picture be solved by using the following approach: https://dl.dropboxusercontent.com/u/104865119/beam2.PNG 1) EI w''''(x) = q 2) Integrate four times, solve the constants from boundary conditions (deflection and moment zero at the supports) Thanks...

Homework Statement A current 2A flows in a wire. Value of horizontal component of Earth magnetic field in the region is 2x10^-5T. Small compass placed 5cm due north of the wire. Calculate the angle through which the needle deflects due to the current flowing in the wire. Assume u0= 4pi x 10^-7...

It is known that light beam bends near massive body and the object sendind deflected the beam is seen in shifted position. Now about spacetime curvature. As I undestand the things are like that: http://i11.pixs.ru/storage/3/3/4/pic2png_7037348_21446334.png The question is why are geodesics...

When using the double integration method to solve for deflection, do you simplify the integral before integrating or do you just integrate it? When i tried it with simplifying and without simplifying, I get a different value for the constant which results in different answers. For example in...

Homework Statement I am trying to find the maximum deflection in a brass beam, however after taking a physical reading the theoretical answer I get is quite off and I am wondering what I am doing wrong. Homework Equations They tell us the max deflection is( Load*Length^3)/(48*E*Second Moment...

I am preparing for a qualifying exam for my PhD program and am looking at some of the old tests from previous years (as supplied by the school for study/prep material). I have come across a deflection problem that has me stumped, and I might just be overthinking it. The problem:

Dear Engineers, I have a rectangular plate (3 x 2 m) made of aluminium (12 mm thickness). I also have a evenly distributed load of 2500 kg spread over the entire plate. How can I calculate the maxiumum deflection at a certain point on the plate? The plate is fixed in all directions on the...

Hi In one of my application I am using a linear actuator to lift a 30kg lid which has a diameter of 380mm. I can only use 1/3rd portion on the lid to take support, for actuator which I used a 60*20*180 long plate mounted to the lid and lift. How to calculate the deflection of lid when lifted to...

How do you get deflections of a fully restrained beam? :) I already solved for the propped reactions and end moments.. I'm not sure how to do that part. :/ ありがとうございます。 :)

Homework Statement Homework Equations δ = Pl/AE σ = P/A The Attempt at a Solution I had calculated the deformation for both the steel and aluminum, and added them together to give me δ = 0.481 mm, which is incorrect. I also thought I could simply plug in the force P = 200kN and the...

Homework Statement 2 parallel plates of length 4.0 cm are arranged horizontally in a vacuum. The upper plate is positively charged and the lower plate is negatively charged. An electron is projected horizontally with an initial velocity of 6.0 x 106 ms-1 and experiences a constant electric...

Homework Statement The offset cantilever beam, ABCD, is fabricated from structural steel. Es = 30,000,000 lbs/in2, I = 60 in4. A load of 2000 lbs is placed at point D. Neglect the weight of the beam. Determine the horizontal and vertical deflection at D with respect to A in inches. Homework...

Can someone explain why the slope dy/dx = 0 at x = L/2? L/2 is the midpoint and there would be a deflection here so surely the slope of the deflection curve shouldn't be 0? I'm finding it hard to visualise this. EDIT: I think I understand the above. The slope of the deflection curve at x = L/2...

I don't get how to solve this problem in the simplest form... I would appreciate your help thanks! I have had some attempts at the question but the question is supposed to be non-calculator-use, so the method should rather be simple, and I couldn't come up with any sort of neat way to solve the...

I sketched out a slightly simplified model. It is a cantilever rod with two supporting rods of slightly larger diameter, connected by a plate. (Ignore the weight of the individual parts. For illustration purposes, I draw this to resemble a cantilever beam from the side view but in actual design...

Hi, I have a rectangular membrane (material: laminated aluminum like food packaging). The membrane is clamped around perimeter. From one side I have uniform (gas) pressure. The membrane is constrained from another side with rigid plate and, hence, do not deflect. But I can measure force that...

Hey Guys, I wanted to know if anyone knew the proof for the Simply supported beam with central load formula; wmax = F*L^3 / (48*E*I). I have looked some soureces up, such as https://en.wikipedia.org/wiki/Euler%E2%80%93Bernoulli_beam_theory , but i don't really understand how they ended up with...

Homework Statement As a project, I have had to design and build a scaled down version of a glider wing. The actual glider wing would be made of aluminium and have a length of 7.5m and have a uniformly distributed load of 30kg/m^2, the scaled down version is 0.9m and made of balsa wood. I want...

regarding this equation, δ=(PL^3 )/(48EI) For the calculation of maximum deflection, if my structure is not longer a full form beam (meaning the structure has 6 holes drilled to it), can this formula still be used?is...

G'Day Everybody, I am computing buckling of a rectangular(edges: a*b) specially orthotropic composite plate. The boundary conditions are clamped-clamped at the opposing loaded edges and the other two edges are free (also known as CFCF). After having the boundary conditions and the governing...

Homework Statement The 2 kg piece of putty is dropped 2m onto the 18 kg block initially at rest on the two springs, each with a stiffness k =1.2kN/m . Calculate the additional deflection of the springs due to the impact of the putty, which adheres to the block upon contact. Homework Equations...

On Wolfram Alpha, I get the following values for gravitational acceleration on Earth due to the sun and moon, respectively: gravitational constant * mass of sun / (distance to sun)^2 → 0.005991 m/s2 gravitational constant * mass of moon / (distance to moon)^2 → 3.68×10-5 m/s2 If the...

I am having the hardest time calculating q, the load per unit length. This question is in relation to my previous question I posted here. I have a cylinder laying horizontally that is fixed on its ends. The cylinder is filled with water. To calculate the deflection I am simplifying the problem...

I am having some problems understanding how to apply a distributed load to a cylinder due to it being filled with water. Attached is an image of the cylinder (placed horizontally). The cylinder is symmetric about the y axis. Water is to be filled from the left through the 1" hole. The cylinder...

hi, i know this question is a bit unnecessary but i just want to know if i got my concept right so, here's the question if you have a compass pointing northwards placed between two parallel wires carrying opposite current, does the needle deflect? my answer is the needle won't deflect since the...

how to solve the large deflection of the beam, i have tried using finite element method but unable to find it.

Hi, firstly I wanted to say thankyou for this forum, its provided me with a lot of help over the years and now it has come to that dreaded question that can not seem to poke at at all. I'm in my 4th year and taking General Relativity for the first time, with a hap-dash differential geometry...

Homework Statement In inkjet printing, a rapidly moving nozzle horizontally squirts drops of ink that form letters and images on paper. A common problem is horizontal white lines running through the print due to a clogged nozzle. Another common problem is paper dust. (a) Within the context of...

This is a series of question that appear to become more and more vague, the last part has me stumped. 1. Homework Statement A) I have an electric motor that produces 0.4 HP of shaft power at a speed of 2800rpm. What will the gearbox speed and torque be on the output of a 1:5 (in : out)...

Hello I am trying to setup a problem to represent a pipeline crossing over another perpendicular pipeline on the seabed. I am trying to represent the problem as a simple beam and having some issues with the supports i am selecting and the boundary conditions. Attached is a picture representing...

A rod is radially mounted on a motor shaft and provided with a flat end plate. By turning movement, the end plate will touch a pointed object, and the angle turned is measured.By the torque of the motor during acceleration and deceleration, a vibration and deflection happens on the rod. The...

I am reinforcing a floor that has a 4" crown at the center and supported between 114" ends. The reinforcement material will be a rectangle bar of 6061-T4 Al,35 Ksi, length between ends 114", 1/2" width. How do I calculate the thickness to prevent bending up to 1,500 lb's forced applied at the...

Homework Statement Explain the circumstances that enable a particle to move un-deflected with uniform motion through an electric field if it is given an initial velocity perpendicular to the electric field. Assume the electric field is the only field present.[/B] Homework EquationsThe Attempt...

what is the formula for the cantilever beam having two different young's modulas and moment of inertia, when a point load is acting on the free end. i have been trying but unable to get the formula. if the formula i can validate my project work and complete it