Deflection Definition and 500 Threads

I was wondering how you would derive the moment and elastic curve equations for an incomplete triangular load. Say you have a pin at the left end of the beam and a roller at L/2 from the left, and a triangular load that goes from the pin and ends at the roller. I know you have to do some kind of...

Hello. I'm looking for the deflections of a 1.938" dia. steel shaft at different lengths. Supported in bearings at both ends. 150lbs. per foot of length, with all of the weight in the center of the rod. I.E. how much does the rod deflect of there is 450lbs. pushing down between 36"... I'm...

Homework Statement In the cathode-ray tube, electrons having a mass m are emitted from a source point S and begin to travel horizontally with an initial velocity v0. While passing between the grid plates a distance l, they are subjected to a vertical force having a magnitude eV/w, where e is...

Homework Statement A proton enters the gap between a pair of metal plates (an electrostatic separator) that produces a uniform, vertical electric field between them. Ignore the effect of gravity on the proton. a) Assuming that the length of the plates is 11.1cm , and that the proton will...

Homework Statement Find the deflection at x=L/4 and x=L/2 for the beam Homework Equations See attached pic. The Attempt at a Solution So I have the solution derived in class. Only 0<x<L/2 is derived because since the load on the beam is at L/2, the equation is valid for the...

Hi, I'd very much like to know how to calculate deflection of a beam by integrating when flexural rigidity EI is not constant. I tried finding an example on the internet but couldn't find any. Can anyone provide me with one? The problem is driving me nuts.

I just started my Mechanisms and dynamics class today for engineering. We already got the first assignment that's due in a day or so. The assignment consists of only 3 questions but first one is totally confusing me and I don't know what to do about it. I emailed the instructor 10 hours ago and...

Homework Statement You're sailing at 6.5ms^-1 when a wind gust hits, lasting 6.3s accelerating your board at 0.48ms^-2 at 35° to your original direction. Find the magnitude and direction of your displacement during the gust.The Attempt at a Solution Attached is the magnitude of the...

I am struggling to remember how to determine the allowable delta max for a beam. I am currently modeling the bending forces upon a piece of square tubing, and though developing delta max seems rather straight forward, I can not seem to remeber how to determine just how much deflection I am...

I was told in a meeting, in passing, not to pay any attention to the deflection results that come out of a free vibration problem. Can someone clarify why or point me to a good resource where I can inform myself? Thanks, KC

if thermo couple ammeter full scale deflection is 10 Amp, for 1/5 th scale what is the Reading?

For this problem, I think that something is wrong with my moment equation, I am not sue how to find the loading as a function of x for this triangle shape. Do I need to account for the sections 0 < x < L/2 and L/2 < x < L??

Homework Statement A. determine the deflection at point A in the X and Y direction. B. determine the maximum normal stress in the beam C. determine the maximum shear stress in the beam Homework Equations δ=(PL/EA) (possibly?) δt=αΔτL d2v/dx2 = M/EI dM/dx = V δab=δx*cosθ +...

Hi First Post so go easy. I am teaching a programming course for kids between 10-14. We are using scratch which is a sprite animator. We are trying to make a breakout game (you know the one where you break block with a ball) We have a ball sprite that we can easily bounce around the...

I'm having a bit of an issue with the deflection of a beam column. I've attached an image to show the problem. Please note the following: - Assume the beams and column are both circular hollow sections of diameter 76.1mm. Wall thickness 5mm. - The joint of the beam and column can be...

Homework Statement How do I find an expression for the deflection at midspan for a cantilever beam loaded with a uniformly distributed load? Illustration of beam: http://goo.gl/3SxeVZ Homework Equations \delta = \frac{Qx^2}{24EI}(6L^2-4Lx+x^2) The Attempt at a Solution Attempt at...

Homework Statement How do I find an expression for the deflection at midspan of this beam? The beam is simply supported and there is two triangular loads on each side of the beam. Illustration of problem: http://goo.gl/gk68Fl Homework Equations Deflection = \Delta = \int \frac{Mx*mx}{EI}...

Homework Statement The sample question explains how I can use superposition to determine the slope and deflection of the beam. I have made a picture of the page. I know how to use the method as I've used it on other, much difficult problems. However, this sample problem has been stuck in my...

How do I find deflection (displacement) in point C at the end of the beam? Answer is to be given in mm. There is a roller connection (only Fy) in B and an external pin in A (Fy and Fx). The module of elasticity and area moment of inertia is given. Relevant equations: 1...

How do I find deflection (displacement) in point C at the end of the beam? Answer is to be given in mm. There is a roller connection (only Fy) in B and an external pin in A (Fy and Fx).

Hi, As part of a larger hobby project, I'm building a microgram balance based on the one described at Sci-Toys.com, but I believe my questions are appropriate for the "general physics" forum. Background: I purchased a 36" threaded steel rod, connected it to a razor, and then put it on a...

1.How do i derive the stiffness matrix for a beam with nodal linkage? ie the shear force at the first node is 0 but the usual shear and moment resistance is present for the second node. I thouth about solving the problem by just putting the first row of the stiffness matrix as 0 . Am i...

Homework Statement A beam is built in at its end supports A and B, and is subject to a mid-span point load F. Using the method of successive integration, determine an expression for the deflection of this beam. Calculate the maximum deflection. Ignore any axial load effects. Homework...

Homework Statement Find the deflection angle of the particle if it is scattered by this central field. $$ U = \frac{α - β r - γ r^2}{r^2} $$ Homework Equations Angle of deflection is given by: $$θ = ∫ \frac{Mdr}{r^2\sqrt{2m(E-U) - \frac{M^2}{r^2}}}$$ The Attempt at a Solution...

Hi guys, I just wanted a quick sense check. I have uploaded two images; one showing basic free body diagram, one showing some quick scoping calculations. My question is, to do a simple deflection calc on the box section legs of the frame, do I just use two multiples of my second moment of...

Homework Statement FIND MAXIMUM DEFLECTION AND ITS LOCATION (PLEASE SEE THE FIGURE)... THANKS Homework Equations The Attempt at a Solution

Homework Statement A fluxmeter is a device sometimes used for measuring magnetic fields. It is a suspended coil instrument in which the suspension has virtually no restoring twist. The instrument is used in series with a search coil which is removed from or rotated in the field to be measured...

this is a problem in the topic of Concavity and the second Derivative Test The deflection $$D$$ of a beam of length $$L$$ is $$D=2x^4-5Lx^3+3L^2x^2$$, where $$x$$ is the distance from one end of the beam. Find the value of $$x$$ that yields the maximum deflection The answer to this is...

Hi: In mechanics of materials. I learned that the deflection of a beam can be characterized by its elastic curve which is the deformed neutral axis. But I am bothered by the fact that, if two end of a beam is fixed, and the elastic curve is continuous in between, then it must mean...

Homework Statement In a project in a summer engineering class I'm taking, I have been tasked with finding Young's Modulus with three different diameters of spaghetti: Thin (1.41 mm), Normal (1.73 mm), and Thick (1.89 mm). Although this is my first time ever attempting to try engineering...

I need help comparing the deflection of pipe with two different cases. Case 1 is a regular non-tapering pipe. The case 2 is a tapered pipe that should deflect less than the straight pipe. I am working in MathCad and can change the value of my variables, so I have set the two cases to be equal...

Homework Statement In a scanning electron microscope, a 0.3 keV electron beam, collimated by an aperture of width ∆xi, is directed towards a target 1 m away from the aperture. Assuming a field-free region from aperture to target, the uncertainty ∆xf in the transverse coordinate of the...

Problem Description: A hiker is reading a compass under an overhead transmission line that is 5.1m above the ground and carries a current of 807A in a horizontal direction from North to South. Assume the Earth's field is of the order 0.5*10^-4T. A) Determine the magnitude of the field produced...

Hi, I am designing an inflatable balloon (long and thin like those used to make balloon animals) with a purpose to support a force in a manner like a cantilever. I am struggling to find literature/assistance regarding the calculations required to determine balloon deflection under a standard...

Hi to all. I need to calculate the deflection at D. At point D, there is a force of 245N acting on it. If I know the cross sectional areas of all beams, is it possible to use energy method to calculate the deflection?

Homework Statement Describe by pointform how to find potential difference between parallel deflection plates, ΔV₂ = ? You don't have to solve. ΔV1 = 1.38 kV Δx = 5 cm Δy = 0.49 cm r = 5.2 cm q = 1.6 x 10^-19 C m = 9.11 x 10^-31 kg k = 9 x 10^9 Nm^2/C^2 Homework Equations ε = ΔV/d W = ΔEe =...

Hey all, first post! Looking to find a deflection equation for a simply supported overhanging beam with two supports and a point- load at the end of the canteliever. I can determine reactions at the supports but i am having trouble finding deflection between the supports. Any help is...

Homework Statement Part a) Deflection of the electron beam in a cathode ray tube television set has electrons accelerated until they have K.E. of 25 keV. What is the magnetic field magnitude required to deflect the electron beam 3.3 cm when the magnetic field is 8 cm long? Part b) When...

Homework Statement A 3000lb car with a wheelbase of 100 inches and track of 50 inches sits on level ground with equal weight on each wheel. The effective spring rate is 700 lb/in at each wheel. One wheel is now raised by 1 inch and the car is allowed to settle to a new equilibrium. What is the...

i was just thinking , a planet comes close to a very massive star but doesn't collide .how can i calculate the its angular deflection.? i can calculate the velocity afterwards the deflection(given the initial and final perpendicular distances of its course from center of the star) using...

Hi, When we find out the deflection of beam, the factors considered are its geometry (moment of inertia) and young's modulus (E) of the material. As per text Hook's law 'E' is constant only till the elastic limit of the material. Assuming that the stress induced crosses the elastic limit, 'E'...

Hi All! I would really appreciate your help on something that has been bothering me for the past week. I am uncertain on how to derive the deflection curve equation for a certain shaft. Loads are acting on both ends of the shaft, with the reaction forces being provided by two separate bearings...

If the sun is close to the horizon, calculate the horizontal gravitational acceleration of a rock dropped near the surface of the earth. Do the same substituting moon for sun. Calculating (vertical) g is easy and one could apply the same method to get the horizontal g if you knew the masses...

Hello, I have a system that consists of a clamped-clamped beam with a residual stress and am trying to find an equation that governs its deflection due to a point force that takes stress into consideration. A formula I have come across: d = (F*L^3)/(192*E*I) does not accurately model the...

What I need is a 1"x.5" rectangular tube .065" wall and 84" long steel tube that will have the least or very low deflection. I have been trying to educate myself today on the different grades of SS which would be preferable for rust resistance. If I understand things correctly 304 SS is the...

Homework Statement The 3.8-kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction is 0.51. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection x of the spring. I...

Hi, I am new to this type of material and am hoping that someone may be able to assist me. In short I am putting a cantilever beam under test to determine its bending moment and stiffness (K value) in order to get a strain reading that can be related to an exact model in solid works. The...

Hi, This is not an homework. I'm doing a old exam question and have diffuclities. Since there is not a solution I want to get confirmed before I goes further with other similar question. I have the figure belove. The problem is here I do like this. Since I should have some bending...

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 Homework Equations Δλ = λf - λi Δλ =...

Homework Statement If the distributed force is removed from the beam in the picture attached and not considered, calculate the deflection at point D. Homework Equations Double integration for deflection [V] The Attempt at a Solution Moment = Ra*x-P(x-3*L) = Slope =...