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. F

    Strain on different parts of a cantilever

    Hey physics forums people, this is my first post ever and I am not sure if this is the right sub forum, but w.e, let's try this out anyways Homework Statement K so the problem is I've got a weight hanging on the shear centre of a cantilever and there are strain gauges all over it It is an L...
  2. J

    Deriving EOM of cantilever beam using specific Lagrangian

    Homework Statement The specific Lagrangian for a cantilever beam is given by: \overline{L}=\frac{1}{2}m[\dot{u}^2(s,t)+\dot{v}^2(s,t)]-\frac{1}{2}EI[\psi ^{\prime}(s,t)]^2 where m,EI are mass and bending stifness, respectively. \dot{u},\dot{v} are velocities in u,v directions...
  3. H

    Cantilever beam with horizontal and vertical component point load at free end

    How do you calculate the stress in a cantilevered beam with a point load at the free end where the load has a large horizontal component loading the beam in tension as well as bending from the vertical component? And the beam bends far enough so it's slope will match the slope of the load at...
  4. S

    Gold on micro-scale cantilever

    hi everyone; how can I put gold only on my microscale cantilever ? Merci :)
  5. T

    Determining Reactions for Cantilever and Simply-Supported Beam Loads

    Beam ABC has a 3m cantilever span AB and a 10m simply supported span BC. The beam has a design loadings as follows: load case 1, 28kN/m UDL along span BC. Load case 2: 36kN point load at the end of the cantilever at A. For each of the load cases, determine the magnitude of the support...
  6. L

    Cantilever Beam subjected to shear stress

    Homework Statement A cantilever beam (length, L, height, 2h, thickness 1). The top surface is subjected to shear stress tsubxy = s. Determine the stress function psi. The boundary conditions at the end of the free end (x=L) can be satisfied by integration (e.g., traction free can be...
  7. H

    Calculating Undamped Natural Frequency of a Cantilever Beam

    Homework Statement Hi. I'm trying to work out the undamped natural frequency of a cantilever beam. The setup of the system is shown in the image below. http://www.flickr.com/photos/56901717@N03/5249378659/ Data:(all lengths measured from the hinge on the left of the beam) Beam...
  8. Link

    Mass of cantilever vibrating at natural frequency

    Homework Statement Find mass of vibrating steel cantilever. It is fixed at one end and got a mass on the other (free) end. Find the mass required when it is vibrating at w(natural) = 1800 rev/min. Lenght: 50mm width: 7mm Thickness: 1mm Homework Equations w = sqrt(k/m) The...
  9. J

    Cantilever beam: cubic stiffness question

    Hello. Supose that we have a cantilever beam. For a small force P applied at the free side of the beam, we can find an expression for the maximum deflection: \delta=\frac{P l^3}{3 E I} If we want to use this beam as a string, we can find its equivalent stiffnes noting that P=K_{eq} \delta, so...
  10. K

    Cantilever Effect on Different Thickness Plate

    I'm working on some stress analysis for work. I'm analyzing the design of a plate, part of which is meant to deflect under a load. Due to this sheet metal plate being somewhat non-straight forward geometry, calculating correctly is a bit tricky. I'm putting an undercut into the plate to allow...
  11. T

    Designing Cantilever Beams for Controlled Fracturing in MEMs Accelerometers

    Here's the issue. I'm doing some research involving MEMs where we will be making micro-accelerometers using cantilever beams with a proof mass on the end. I want to design these beams to break at specific accelerations (2 G's, 5 G's, 10 G's etc.) and I'm not sure how to go about this. My...
  12. M

    Designing Reinforcement for a continuous cantilever beam

    Ive got a beam that I can't seem to calculate the loading of. Let's say beam ABC supports are at A & B, BC is a cantilever. There is no wall on AB, but there is a wall on BC. Now I have tried breaking it up into separate parts, but does not look right. I was taught the method of triangles and...
  13. K

    Neutral axis for 3 different cantilever beams

    1. Hi all, I'm doing a simulation on 3 different cantilever beam as shown in the attached figure. a) is the beam with only width varying from the base to the free end (height stay constant along the beam) , b) is the beam height varying from the base to the free end (width stay constant along...
  14. A

    Beam deflection in a cantilever beam

    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...
  15. 3

    How do I calculate the bending moment and maximum load for a cantilevered stud?

    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...
  16. S

    How Do You Calculate Tension in a Cantilever Cable System?

    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...
  17. P

    Solid Mechanics, calculating reaction forces and M(X) for a cantilever thing

    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...
  18. S

    Calculating Forces on a Cantilever: Physics Homework Problem

    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...
  19. T

    Proving Slope & Deflection of Cantilever Beam with Concentrated Load

    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...
  20. C

    Elastic curve of cantilever beam

    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...
  21. S

    Measuring Mass of DNA Using a Vibrating Cantilever

    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...
  22. D

    Cantilever beam (statically indeterminate)

    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...
  23. M

    Spring stiffness of a cantilever beam with uneven loading

    Hi all! Im stuck with a bit of a problem. I have a wedge shaped petal valve which I need to find the spring stiffness k and hence the natural frequency of vibration for. In all the texts I've looked up so far, the equations have always assumed the beam is of constant cross section or has a...
  24. R

    Relation between torsional and linear spring constants for a cantilever beam?

    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...
  25. A

    How to find strain in simple cantilever beam

    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.
  26. S

    Cantilever switch based on electrostatic force

    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.
  27. M

    Allowable stress for a cantilever beam

    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...
  28. E

    Designing a Cantilever Beam for Resonance Frequency

    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...
  29. S

    Cantilever square tube capacity

    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"...
  30. V

    Simple Deflection of a Cantilever Frame. .

    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...
  31. S

    Deflection of tapered beam cantilever

    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...
  32. P

    Analysis of Tapered Cantilever Beam

    Hi All, I am analyzing a cantilevere beam which is tapered only at the lower edge. (Please see attached image) Please look at the image. I have following questions: 1. Isn't the neutral axis of a beam will be midline of upper and lower edges of beam which makes the applied vertical load to...
  33. J

    Cantilever beam bending moment and shear force

    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...
  34. O

    Double cantilever beam problems

    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...
  35. S

    Cantilever Design: Anchoring Steel Beams for Shane X.

    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...
  36. T

    How Do Cantilever Beam Calculations Determine Minimum Bending Stiffness?

    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...
  37. M

    A question about cantilever beam

    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...
  38. G

    How to Calculate Maximum Load for a Cantilevered Beam?

    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...
  39. F

    Exploring the Relationship between Cantilever Length and Vertical Deflection

    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...
  40. T

    Solving Cantilever Problem with Axial Load & Bending Moment

    Hello, Well, I am working on this home problem I have, but I am struggling. The lecture has told us that the problem involves both Axial load and Bending moment. But I don't know what equations I need to use to calculate this. I am trying to find out the maximum stress on this cantilever...
  41. S

    Reynold's Number for a Cantilever Beam

    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...
  42. M

    Resonant Frequency of a Cantilever

    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...
  43. S

    Solving Cantilever Load Cell Drift Issues

    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...
  44. S

    How Does Amplitude Influence the Oscillation Period of a Cantilever?

    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...
  45. J

    How Is Young's Modulus Calculated for a Cantilever in SHM Experiments?

    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...
  46. Q

    Cantilever Deflection: Equation for Uniform Load

    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.
  47. G

    Residual stress induced by metal deposition on cantilever

    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...
  48. A

    Cantilever beam: Loading type?

    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
  49. A

    Modal analysis for a CANTILEVER BEAM

    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
  50. S

    Calculating Cantilever Pipe Weight Support

    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?
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