What is Cantilever beam: Definition and 133 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. 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...
  2. 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...
  3. 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...
  4. 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...
  5. 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...
  6. 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...
  7. 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...
  8. 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...
  9. 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...
  10. 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...
  11. 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.
  12. 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...
  13. 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...
  14. 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...
  15. 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...
  16. 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...
  17. 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...
  18. 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...
  19. 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...
  20. 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
  21. 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
  22. 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...
  23. 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...
  24. 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...
  25. 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
  26. 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...
  27. 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?
  28. 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...
  29. 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...
  30. 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...
  31. 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...
  32. 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...
  33. 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...
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