What is Cantilever: Definition and 234 Discussions

A cantilever is a rigid structural element that extends horizontally and is supported at only one end. Typically it extends from a flat vertical surface such as a wall, to which it must be firmly attached. Like other structural elements, a cantilever can be formed as a beam, plate, truss, or slab.
When subjected to a structural load at its far, unsupported end, the cantilever carries the load to the support where it applies a shear stress and a bending moment.Cantilever construction allows overhanging structures without additional support.

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  1. A

    Can anyone explain the derivation of the formula for cantilever oscillations?

    [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...
  2. A

    Solved: Cantilever Experiment: Deriving Formulae

    [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...
  3. J

    Building a 350g Newsprint Cantilever to Support 1kg, 12in Long

    Homework Statement as a project we need to build a cantilever structure out of newsprint, thread, and masking tape. It can only weigh 350 grams and has to support 1 kilogram, and must stretch 12 inches off of a surface. We have an idea, but we don't know how to make it stronger while keeping...
  4. B

    Help An issue with a cantilever tube instrumented with strain gauges.

    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...
  5. D

    Cantilever with end mass - Moment of inertia

    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...
  6. radou

    FEM modelling of a cantilever beam

    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...
  7. L

    Troubleshooting Cantilever Beam Simulation in COMSOL

    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...
  8. N

    Formula for Free Resonating Frequency of Cantilever to the Deflection

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

    Bending Rectangular Cantilevers Under Gravitational Force

    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...
  10. K

    Trying to make a cantilever with the highest efficiency

    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...
  11. S

    Residual stress in 3 layer cantilever beam

    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...
  12. J

    What are the variables in the deflection equation for a cantilever beam?

    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
  13. R

    A (hopefully) easy question to answer about cantilever beams

    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...
  14. X

    General Cantilever Equations for Bending Aluminum

    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...
  15. X

    General Cantilever Equations

    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...
  16. J

    Solve Cantilever Beam: End Load 20kN, EI=40KNm^2, Length 0.25m

    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...
  17. B

    Cantilever & Load: Explaining Physics Intuition

    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...
  18. P

    How can the deflection of a stepped cantilever beam be calculated?

    Can anybody tell me how to work out the deflection of a cantilever beam with a stepped diameter? I have looked through Roark's Formulas but can't seem to be able to do it :grumpy: The diameter of the beam would vary from 5mm to 3mm and back up to 5mm. I have attached a pic to explain...
  19. P

    Analyzing a Cantilever Beam with Distributed Load and End Load

    Cantilever Help! Hi, I'm trying to do some work on a cantilever beam with UDL and load on the end. Is there anybody who could give me a hand because I am really struggling. Many thanks P
  20. S

    Sect.2 q.2 - cantilever I-section

    hello all followin my quest to teach myself all about beams etc iv come across this it seems straight forward well, first bit does anyway :) is it basicaly looking at the cross section of the I-section and stating the distance from the base to the middle?? forthe second part do you jus...
  21. E

    Finding Moment of Inertia of Cantilever Beam

    Ok I was given this problem: Problem: The deflection d of a cantilever beam of length L is given by the mechanics of materials equation d=PL^3/3EIWhere P is the force on the end of the beam and E is the modulus of elasticity, which has the same dimensions as pressure.Determine the dimensions of...
  22. P

    Need Help with Cantilever Paper: Physics Calculations

    ok... i need someones help! for a project, a group of us had to build a cantilever, and write a paper. we are at the paper writing stage, and i got shafted with the hard part. which of course i don't know how to do. physics isn't my forte. here is what it says right off of the rubric...
  23. D

    Calculating Stress/Deflection in Cantilever Beam

    A cantilever beam is loaded by a uniform shear stress T on its upper surface. How to calculate the stress and deflections at the end of the beam?
  24. S

    Cantilever Cable: PhD Student Researching Deformation Out-of-Plane

    Hello, I am a PhD student in textiles. I was wondering whether anyone has any experience with cables and stuff. For my PhD, I have implemented a Cosserat model for these one dimensional structures as described by the equations of motion given in this article. Ofcourse one tries to validate their...
  25. A

    Cantilever Help - Finishing Work & Getting Results

    Cantilever help!§ heh everyone finishing of some work on cantilevers and how the movement (when attached to strain gages) affects the circuits resistance, i used a wheatsone bridge and i need some hints for help on the right-up... or any results you could send my way would be great, thanks...
  26. P

    Finding Max Load for Cantilever Beam of AlN

    I'm an undergrad. student trying to do research. Today was my first day working with grad students and one grad student gave me something to find. We have a cantilever beam made of aluminum nitride (AlN). The only things known about the beam are the dimensions and young's modulus. He wants to...
  27. P

    How Do You Calculate the Load on a Prop Between Two Cantilever Beams?

    If i have two cantilever beams with a vertical prop between the free ends as shown in diagram, how do i find the load on the prop? I have the deflections of the beams to be: v (top beam)= (PL^3)/(3EI) v(bottom beam)=(5WL^3)/(48EI)-(PL^3)/(3EI) the prop is of diameter d, and length a...
  28. P

    How do I determine the load on a vertical prop in a cantilever beam system?

    If i have two cantilever beams with a vertical prop between the free ends as shown in diagram, how do i find the load on the prop? I have the deflections of the beams to be: v (top beam)= (PL^3)/(3EI) v(bottom beam)=(5WL^3)/(48EI)-(PL^3)/(3EI) the prop is of diameter d, and length a...
  29. P

    Deflection of Cantilever Beam Arrangement

    If two cantilever beams are fixed at Left Hand Side (LHS) and joined to each other by means of a prop at RHS, how do i calculate the downwards vertical deflection of the bottom beam? The solution i need to prove is (5WL^3)/(48EI)-top deflection. However, i always seem to get a 7 where...
  30. P

    Forced Vibration of a Cantilever Beam

    If a cantilever beam is subject to forced vibration (from a shaker at fixed end), what will the effect be of placing a mass at a)nodes and b)between nodes? I presume that as there is no displacement from the normal at the nodes, the mass will have little effect, but what about between the...
  31. P

    Forced Vibration on a Cantilever Beam

    If a cantilever beam is subject to forced vibration (from a shaker at fixed end), what will the effect be of placing a mass at a)nodes and b)between nodes? I presume that as there is no displacement from the normal at the nodes, the mass will have little effect, but what about between the...
  32. S

    Cantilever Bending: Modeling Interaction of Yarn & Brush Ring

    Is a well studied problem. I am a textiles engineer and am doing some work on modelling the interaction of the yarn with a brush ring (circular brush with hairs slowing the yarn down). You can easily calculate the deformation of a hair caused by a force perpendicular to the curve of the hair in...
  33. S

    Which Cantilever Design Is More Efficient for a School Project?

    Hi, I'm doing a project for my HS physics class. I need to build a cantilever out of craft sticks (I'm using thin bass wood sticks) that needs to be at least 12 inches long. I'm being graded on the efficiency of it by weight (amount of weight it holds on the end divided by the weight of the...
  34. A

    Cantilever Experiment: Is the Relationship Linear?

    hi guys, got a lil question: I had an experiment to do with two partners and one of 'em lost the data. So they had to redo it, but from the data they supposedly collected, I get the impression the faked the results, badly. The experiment was to bend a ruler by attaching a mass at its end...
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