Cantilever Definition and 216 Threads

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...

Hello I hope you can help me and give me some guidance, hopefully I have posted this in the correct section of the forum. I need to calculate the moment on the attached drawing, and the loads then transferred to the base material, if it is shear, tensile or an oblique/combined load. some...

Homework Statement A mass of 50kg is hung from the end of a cantilever 3m long. The cantilever weighs 6kg and is supported by a cable from the wall that is attached 0.5m from the end of the cantilever forming a 30 degree angle with the cantilever. What is the tension in the wire? What is...

Homework Statement Homework Equations M = F * D The Attempt at a Solution For a, I need to find the reaction force on the right side. So what I first did was make the sum of the moment on the left equals zero. 0 = M_0 + r_y * L. r_y = \frac{-M_0}{L} I think this is right...

Homework Statement A 3 m long cantilever with a mass of 250 kg is attached to a wall and also held in place by a steel cable that is attached to the far end of the cantilever at an angle of 30° with respect to the cantilever as shown in the figure at right. A 5 kg mass also hangs from...

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...

Homework Statement Using method of integration, determine the elastic curve for the beam and calculate the total deflection at a point A (end) of the beam. Use EI as a constant. See word document attached with diagram. Homework Equations EIV''(x) = - M(x) The Attempt at a Solution...

Homework Statement It has recently become possible to "weigh" DNA molecules by measuring the influence of their mass on a nano-oscillator. Figure shows a thin rectangular cantilever etched out of silicon (density 2300 {\rm kg/m^3}) with a small gold dot at the end. If pulled down and...

hello everyone, i have a small problem in calculating a particular loading case of a cantilever beam which is shown on the attached image. i have found many loading cases of cantilever beams which i am able to solve, however for this one i couldn't find anything unfortunately. the bending...

Hello, This should be a straight one for most of you. Given a cantilevered beam that has a force F applied across it (or at one end), causing a displacement d and deflection \theta , what is the relationship between the torsional spring constant k_{theta} and the linear spring constant k...

Hello to everyone, my question is how to find strain in rectangular cantilever beam applying point load at some point. I am not getting formulas for that..Please save me from this. Its very urgent for me.

Dear all: I am going to design a cantilever switch which is working with electrostatic (capacitive) force. I want to design that. That is to find the dimension and material of that. I was wondering if you could kindly suggest a reference for designing this. Thank you very much.

Hey guys, I'm designing a simple lift in the picture below. I've done nearly all the calculations but i still can't figure out how to calculate the maximum allowable load and stress that the beams can withstand. Also will welding affect any of these calculations dramatically? say that the...

Homework Statement The problem is to design a cantilever beam with a certain resonant frequency. Homework Equations w = sqrt (k/m) The Attempt at a Solution I know k for a beam and m can be written as density * volume. My question deals with the w. If I am given a...

Hello everyone. I have a need concerning a project I'm building. I need to know, or need to know how to calculate the maximum uniform load on a single cantilever of A36 steel tube. It is solidly attached at one end and extends out 42". The material will be one of the following: 1) 2"x2"x 1/4"...

Homework Statement For the given frame, find the horizontal deflection at the tip of the frame (deflection)C. The frame has a uniform stiffness EI. http://img27.imageshack.us/img27/5493/83214722.png The Attempt at a Solution I don't actually have anything to show, all I want is a hint in the...

Hi and thank you for taking a look at my problem.. I'm very familiar with doing deflection calculations for beams of constant cross-section but I find myself needing to now do calculations on a beam of varying cross-section and I'm completely lost. It's a relatively simple case in that the...

Homework Statement im trying to write a program for a class but first i need the formulas for the bending moment and shear force. i have the displacement and angle of the cantilever beam under a point load: Y = -[(WX^2)/(6EI)][3a – x] for 0<x<a Y = -[(Wa^2)/(6EI)][3x – a] for a<x<L...

Hi, guys, i am struggling to figure out the answer of below question, please give your suggestions. thanks! Given Cantilever Beam 1 and Beam 2, the right ends are free, no constraint to put them two together. When no force acting on, they will stay together; while when there is pressure...

Hello all, I am a physics major working on my mechanical eng. minor. This is not homework. This is a real design. I have been asked by an engineering friend to help on a cantilever design which he is going to build on his riverside home. I have some structural design under my belt but have...

Homework Statement As in the attachment; cantilever beam with two UDLs and a point load of 1000N/m, 1000N, and 500N/m respectively. First UDL acts over the first 1m, point load at 1m, and the next udl over the next meter - so the total beam length is 2m. Max tip deflection is 2mm, what is the...

Homework Statement Im having a fixed end free end of cantilever beam under going a uniform load. With the beam length ranging 0-750 micron,width of 10-20micron and thickness of 0.5 and 1.0 micron.While the force ranging from 0-50microNewton. Homework Equations what is the maximum...

I have a college HNC engineering question which I am having problems with, I am OK with calculating the I values, and deflection (if needed). But am wondering on what formulae are required and how to use them, to calculate the maximum loading mass in Kg for a cantilevered beam. The question...

I was to find a relationship between the horizontal length of the cantilever and the vertical deflection when a fixed mass acts on the end of it. So the independent variable is the length of the cantilever and the dependent variable is the vertical deflection i.e. vertical distance. I've been...

Good Evening! I've been looking at this problem for a bit and I am a little stumped on it. I asked two graduate level Fluids TAs and my other classmates and they are stumped as well. I hope that you can help... I am doing an experiment that involves a cantilever beam and wind flow that is...

Hi I'm currently setting up a simple cantilever beam experiment. The cantilever will be positioned vertical and a spray force will be exerted from the left hand side, causing the plate to deflect. This deflection will be measured and recorded. My question is how do I calculate the...

Hello, I recently put together a standard (or mostly so ;)) cantilever load cell for some tests I want to do (basically I am making a screw driven tensile machine). The cantilever has two strain gages mounted on it. These strain gages are wired in a half bridge configuration. In addition to...

1) Does the amplitude of a cantilever affect the time period of each oscillation when the experiment is set up like http://www.practicalphysics.org/go/Experiment_430.html 2) Please explain your answer. 3) The equation I am using is T= 2pi* sqrt ((4ML^3)/(Ebd^3)). Now this equation works...

Youngs modulus of a cantilever, help please! [1] BACKGROUND: I am doing an experiment determining the young's modulus of a cantilever through principles of SHM (i.e. hypothesis: higher youngs modulus = higher frequency of oscillation. See the attached Pictures for the diagram (strobe is...

It's been a while since I've studied mechanics. Would someone remind me as to the equation for the deflection of a cantilever beam with a uniformly distributed load on only a part of the beam? I remember the equation for a load on the entire beam is (wL^4)/(8EI) thanks.

hi, everyone, now I am trying to deposite some metal layers on micro-scale cantilever surface on the purpose of bending it under the residual stress caused by metal deposition. I read some literatures which mentioned and even gave the exact value of residual stress happened in both the...

Hello, I am modeling a Cantilever beam and there will be no loading except an excitation at the calmped end. Should I describe it as uniformally loaded or purely free? am confused :S

Hi there, I am a beginner and I need to do analytical derivation of a beam and model it in matlab. the beam is cantilever and it is excited at its cantilever end any hints to start? Cheers

Hello the forum; I am brand new here so I beg you indulgence. How do I calculate the amount of weight a pipe will support if used in a cantilever cituation?

[SOLVED] Cantilever Investigation 1.Hi, I am writing a report on cantilever oscillations, my experiment involves fixing different cantilvers e.g. a ruler to the end of a table then measuring the period and height of oscillations while varing the mass attached to the cantilever, and other...

[SOLVED] Cantilever experiment Hi, I am writing a report on cantilever oscillations, my experiment involves fixing different cantilvers e.g. a ruler to the end of a table then measuring the period and height of oscillations while varing the mass attached to the cantilever, and other...

I am working on the development of an instrument which can be simply thought of as a cantilever tube. This tube is instrumented with strain gauges to measure the X/Y strains and two sets of rosettes, each consisting of two strain gauges at 45 degree. Note that the X/Y are 3-wire half bridge and...

Hello! I have a problem and if anyone could help that would be great. Imagine that you have a cantilever beam of length L and has an end mass m. In order to calculate the natural frequency I use the equation: f=(1/2*pi)*SQRT(3EI/mL^3). a) The moment of inertia in the equation is the sum...

Due to complications I have with drawing and uploading pics at the moment, I'll simply describe the model instead of posting a pic; it's a cantilever beam (ignore the cross section and modulus of elasticity given in the pic, and the force P) of length L = 1, the coordinate axis x is along the...

Hi everyone, I've just started to use COMSOL for the study of a simple cantilever beam and I'm facing some problems while calculating the eigenfrequencies and the frequency-response. I use the 3D MEMS Module>Solid, Stress-Strain. I create a 500e-6,100e-6,10e-6 box. From the Sub-domain menu...

Is there a formula relating the free resonating frequency of a cantilever to its deflection? Thanks!

Hello, actually, I am looking for some data concerning horizontal cantilevers that bend under the influence of the gravitation force. The cantilever should be rectangle-shaped, with given young-modul, poisson-ratio and of course measures. In addition to that, the deformation of the cantilever...

Right now I'm trying to make a cantilever with the highest efficiency. I'm trying to design several models but I have questions: How can one make one without having to find the best design through numerous times of trail and error? Is there an equation for cantilevers which dictate the...

Hi guys & girls, I have a problem, I am trying to calculate the residual stress as a function of depth of each layer. I am using a Focused Ion Beam system to milling/removal thin layers of material from each layer of this cantilever, & measuring the deflection. I can obtain the average...

I need some help. I writing up a lab report and I am not sure how to define the equtaion i took down in my notes. deflection = (4F/Ebh^3) * L Im not sure if this is the right eqution. If so can some one please tell me what the varibales: E, b, F and h are. Thanks

Hi guys, just wondering if you could help me out? For a standard rectangular cross-section cantilever beam with a concentrated end load how do i work out the top surface stress at a point along the beam? do i just use sigma=My/I where y=half the depth of the beam and M=end load * distance...

I am trying to determine some general cantilever equations. I have an aluminum beam extending out 235 mm (L) from an aluminum block. The beam is 25 mm wide (W) and 3 mm thick (H). A force is applied at a point approx. 200 mm from the block and I am interested at a point 25 mm away from the...

I am trying to determine some general cantilever equations. I have an aluminum beam extending out 235 mm (L) from an aluminum block. The beam is 25 mm wide (W) and 3 mm thick (H). A force is applied at a point approx. 200 mm from the block and I am interested at a point 25 mm away from the...

Homework Statement A cantilever beam carriers an end load of 20kN and has an EI value of 40 KNm^2. If the beam is 0.25m long, use intergration to determine the slope at the free end of the beam? Homework Equations I know from a handout I have that the fudamental equation to...

Intuitively, if we have a beam nailed down to a box of some sort on one side and have the other side of the beam stick out (with an object on it), we would expect the beam to bend to an extent. However, when I tried to apply the knowledge of physics that I have, I had a bit of trouble explaining...