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. J

    Increasing Cantilever Beam Stiffness

    Is it possible to create a cantilever beam with constant or increasing stiffness. I've been experimenting with several different shapes and profiles, and have not had any luck. I know that there are shapes with constant stress throughout, but I'm hoping to find a shape with constant or...
  2. M

    Tensile/Bearing stress in a cantilever member.

    Two steel straps are use to hold member BCD level. The size of each strap is 12 mm thick and 50 mm wide. A 16 mm diameter bolt is used to connect thesteel straps to the 89 x 89 mm post at A. A 25 kN is applied at the free end of the cantilever at point D. Determine: the tensile stress developed...
  3. cvnaditya

    Deflection of cantilever beam having two Young's modulas

    what is the formula for the cantilever beam having two different young's modulas and moment of inertia, when a point load is acting on the free end. i have been trying but unable to get the formula. if the formula i can validate my project work and complete it
  4. UMath1

    Cantilever equilibrium problem

    I am trying to resolve for the forces in the attached diagram. In order for this object to be in rotational equilibrium, the torques of the normal force and the garvitational force would have to be equal. However, this would imply that normal force produced by the fulcrum would be far greater...
  5. C

    Deflection in a Cantilever beam

    Hello, i was looking for ways i can reduce the deflection in the cantilever beam whose one end is fixed and load is applied at the free end. Few i thought of was, 1- Reducing the length of the beam 2- Increasing the modulus of elasticity of the beam 3- ?? 4- ?? 5...... Appreciate your help...
  6. J

    Modeling technique for Joule heating

    Good Day, I am looking for mathematical modelling of Joule heating of a simple cantilever beam . Can anybody provide me good source of relevant material. Thanks in advance.
  7. B

    Cantilever Framework Practice Exam Confusion

    Little bit stuck with this practice question for my exams, how do they suppose I work out the length of the individual beams or height of the framework without an initial length? Is there a secret way I've never heard of? Any help would be appreciated, it's foundation degree level but probably...
  8. T

    Explaining Bending Stress in Cantilever Beams

    Hey everyone, I was just wondering if someone could explain to me what Bending stress is? Supposed you have a cantilever beam with a point load at the free end, I know that the bending stress will decrease as you move away from the fixed end? but why? and how can you back that up? Also, as...
  9. Vircona

    Cantilever Beam Failure: Help?

    Hey, all, So I posted a similar thread yesterday about my project design issue, but I've made progress on it by taking a different approach. For the project, I have a cantilever shaft of fixed length (1.2m) and a tensile axial loading, and two torsional loadings in the same direction at...
  10. Vircona

    Optimizing Cantilever Design: Solving for Minimum Mass and Maximum Strength

    I'm in a sophomore-level general engineering class (mechanics of materials), and I was assigned a project that I had a good idea on how to tackle, but I'm running into an error. The project: I'm given a 1.2m long cylindrical cantilever with forces acting on it; one axial tensile force, and two...
  11. T

    Calculating Deflection and Stress in a Tapered Cantilever Beam

    Hey all, So I have this beam problem and I honestly am lost with it! The beam is I-section cantilever, tapers in depth along its length (See picture attached) with a point load at the free end. I am trying to figure out the deflection formula and how to derive it! Also, when calculating its...
  12. K

    Creating a spring using only beams

    Attached is my ANSYS model of a spring made using cantilever beams. In playing around with with different dimensions, I noticed that the longer I made the connecting section (dirty green section) the less of a total deflection there was. Could someone explain to me why this is? The overall goal...
  13. K

    Need help with more indepth beam theory?

    I have a project for a class and our goal is to design a beam using 1018 steel to achieve a certain deflection under one load and not fail under an even larger load. The design I have come up with is very similar to a cantilever beam, but is has a variable cross section. I have used the...
  14. T

    Vibration of a cantilever beam

    Hi there! Im trying to do an analysis in Abaqus of a cantilever pipe, with a tip mass at the free end, that is decelerating to a stop at 10 m/s2 from 10m/s, causing it to vibrate. To validate my results I am doing some handcalcs. I have done a static analysis and calculated the maximum...
  15. S

    What is the Tension in the Tower Crane Cable?

    Homework Statement The beam ABC is1000LBs and its center of mass is given as 6.5ft to right of B. B is a pin joint. A & D are frictionless rollers. Find tension in cable.Homework Equations Call the tension in the cable T. Trig shows us that the left-hand triangle is 45 degrees at ABD and the...
  16. H

    12m span of concrete roof slab

    Hi, I am designing a concrete roof slab that span across 12m long and 9m width for my living area. The support columns are placed in each 4 corners and they are 300mm x 300mm size. The concrete slab roof is cantilevered out by 1.8m on 3 sides (not all 4 sides) with the thickness of 150mm. At the...
  17. Andy Resnick

    Q: oscillating cantilever

    I'm having a tough time with a simple problem- the resonant oscillation of a vertical cantilever immersed in a viscous fluid. I have, from Roark's tables, the oscillation frequency for a cantilever with both a concentrated tip load and distributed load: ω=1.732√[(EI*g)/(WL3+0.236(wL4)] But I...
  18. R

    Stress at crack tip of a 2D cantilever beam under sinusoidal excitation

    I need some information urgently. I am working on crack of a 2-D cantilever beam. One side of the beam is fixed. I am applying a sinusoidal time varying load on other end in Y-direction.Beam length and width are 100cm and 10cm respectively. crack is 05 cm in y-direction. I have attached data and...
  19. Jesse Millwood

    Request For a Set of Eyes on an Oscillating Steel Cantilever

    Hello, I am an electrical engineering student and I was hoping some body here could help me out with a cantilever question. I want to model a vibrating cantilever with a mass at the end. I am doing this for a project where I wanted to model a Wurlitzer 200 Electric Piano. The way they produce...
  20. K

    Calculating maximum shear in a steel beam cantilever

    Problem: I do not know how to approach this problem. For a beam which has two reactions, the shear stress is equivalent to the reaction. I suppose that the stress is calculated using moment some how. But how? For seeing if the beam is allowable stress design compliant, you can use the...
  21. J

    Piezoelectric Actuator Cantilever Beam bending

    I do not have much knowledge in piezoelectric, but all the piezoelectric I've read up on seems to only achieve maximum displacement in measurement values of microns. Is it even possible for some piezoelectric actuator to bend a 10 meter long cantilever beam up to 1 meter at its maximum...
  22. D

    Calculating Bending Stress & Moment of Inertia for Tapered Cantilever Beam

    Hello all, I need to calculate the bending stress of a tapered cantilever beam. However, I would like to know how to calculate the moment of inertia. For a uniform shape beam, I know the Ix=(bh3)/12, but since h changes throughout the length of the beam how would inertia, I, be...
  23. S

    Cantilever statically indeterminate beam with point load

    hi please if anyone can tell me how i can get the following equation (attachments) of deflection for statically indeterminate cantilever beam with point load (attachments). I'm not an engineering student and having difficulty in coming up with boundary conditions. looking for help. thanks
  24. N

    How Can Strain Be Calculated from Force Displacement Data in a Cantilever Beam?

    Hi everyone. I feel there should be a simple answer to this but I can't seem to find anything on this. So I have a simple cantilever beam, supported at one side and loaded at the free end. I have the force displacement data and can easily calculate the stress. However, for the strain I do...
  25. B

    Bending Moment of a Cantilever Beam

    This is a problem from Michael Lindeburg's FE Review Manual. It is in Chapter 20, Number 11 if you have the book. PROBLEM: There is a picture of a cantilever 2 m in length attached to a wall. There is a force applied at a 30 degree angle from the horizontal at the free end of the beam...
  26. Z

    "Scissoring" Monitor Mount - Cantilever Tipping Point

    OK. Hopefully you guys can help me. I could do this off of just trial and error, but I would rather not have to re-cut any of my material as it is expensive. I just built a nice new desk and would rather not permanently mount a scissoring monitor mount. I have triple 24" monitors. My old setup...
  27. M

    Horizontal deflection of a vertically loaded cantilever

    Hello you clever people, I'm having a bit of a logical problem with the deflection of a simple uniform cantilever beam loaded with a downward force on the free end. My intuition is that the beam would do something like this: But most literature, and my mechanics of solids course at uni...
  28. C

    Cantilever bicycle brake question

    Homework Statement A force F of 90N is applied to the cable and each calliper rotates about its hinge at B. With what force does each brake block at A push against the wheel rim? * Image attached * Homework Equations Moment_B = ( Distance from B ) x ( Force acting on calliper...
  29. K

    Cantilever beam with curved beam on the end.

    struggling to find info on this so figgured i'd as. For two beams attached to each other, one a straight catilever and the second a 90 degree bent beam attached to the end of the cantilever (shown in attached picture). To calculate the deflection of the beam at the load applied, given the...
  30. S

    Mechanical - Deflection and Slope, cantilever beam

    Hi guys, I have been a question to solve this week to do with deflections and slopes at the free end of a cantilever beam. I have calculated the deflection and slope for the point load and UDL, but I'm not sure whether to add them together or not?.. as they're both acting on the beam? A...
  31. H

    Moment and force calculation for cantilever beam

    Homework Statement A cantilever beam (prismatic, rectangular cross section) is loaded at the tip by a force P and at half its length L by a moment M. a. Calculate the reaction force and moment. b. Draw the shear force and bending moment diagrams Homework Equations ∑F=0; ∑M=0 The...
  32. D

    Cantilever spreadsheet for dummies

    Any (ideal) beam of length L, bent with a deflection of δ will have the same parabolic curve. If that underlying assumption is wrong I am in trouble... (Lots of views on the other thread, but no posts...so I'll try and boil it down to its essence) Imagine: Cantilever beam of length L with a...
  33. D

    Making an aerofoil with a cantilever

    Hi, I am using a deflected beam to create a parabolic curve to set the shape of horizontal seams between panels on a sail boat's sail. It will give me a tighter curve close to the mast and flatter out near the leach (the trailing edge). I.e. an aerofoil shape. This is the boat, a radio...
  34. D

    How Do Multiple Cantilever Beams with Rigid Links Affect Load Distribution?

    Hi guys! I need some help mutiple cantilever beams. There are three cantilever beams. Single load is applied at the end of an above beam only. Each beam has own spring constant(k1, k2, k3), thickness(t1,t2,t3) and same width, B. They are connected with blue rigid links like on figure. they...
  35. H

    Stress components on cantilever beam loaded off symmetry

    Homework Statement An element is taken from the wall end of the cantilever beam that is loaded as per the diagram. What are the stress components of the element, taken at x=0, y=h/2, z=0 Homework Equations σ=My/IThe Attempt at a Solution So from the shear moment diagram, the moment and shear...
  36. R

    Deflection cantilever beam

    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...
  37. L

    How to use the Legrange method to solve optimisation cantilever beam?

    esign a cantilever beam of minimum weight (volume) consisting of three steps that meets condition of strength. Given parameters are: total length of the beam L, force F at the end of the beam, and allowable stresses [sigma]. Parametres to be determined: Beam Diameters d1 d2 d3 Length x1...
  38. D

    Phase-plane dynamics of an atomic force microscope cantilever.

    Hello, A sinusoidally driven and undisturbed cantilever of an atomic force microscope (AFM) oscillates ideally in a sinusoidal fashion but the motion of the cantilever (time-domain trajectory) can become more complicated when it is disturbed by the inter-atomic forces as the cantilever taps...
  39. R

    Stress analysis of a cantilever beam using FDM

    I am a CSE researcher with a not so in depth background of physics. As a part of my research in object modelling, I am trying to computationally figure out the stress for various objects by using Finite Difference Method (not FEM which is the defacto standard for stress analysis). The reason for...
  40. H

    Cantilever Beam Theory: Calculations & Analysis - hmk999

    https://skydrive.live.com/redir?resid=3B1281F72DB8729B!122&authkey=!AIkfRcYK6Grz0jw Can anyone please help? See link for sketch and calculations. I have a M30 x 150 long stainless steel stud fully welded to a base plate that is under a load of 12.5 ton = 122583 N. Using Cantilever...
  41. S

    Partial linearly distributed load on cantilever beam

    I have a partial linearly distributed load on a cantilever and would to determine the bending moment distribution along the beam. I usually do this by taking cuts along different sections of the beam and finding the expressions for shear force and bending moment. However when I do this...
  42. J

    Cantilever beam point load analysis with diagram

    Homework Statement Require various values from cantilever beam analysis including Bending moment K stiffness 2nd moment of inertia Max stress Homework Equations Shown belowThe Attempt at a Solution Here is my attempt at this question but I am unsure about units and therefore my answers?Bending...
  43. J

    How do I determine the K value from a cantilever beam deflection test?

    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...
  44. X

    Calculating Bending Moment and Using Virtual Work Principle for Cantilever Beam

    Homework Statement see attachment Homework Equations The Attempt at a Solution I think #1 is to find the bending moment equation, then use the principle of virtual work. I have no idea how to find the bending moment equation and which principle of virtual work to use. Any...
  45. H

    Spring Positioning on a Cantilever beam

    Hallo guy, I hope its not asking too much, but i really need help with this, Urgently. I have a cantilever, with point load P=100 at the end tip. A spring(K=500) attached to the cantilever perpendicularly at UNKNOWN position. I KNOW the deflection at the end tip. and the rest of the...
  46. R

    I am confused about the cantilever beam

    Hi For a cantilever beam with a load at its end, flexural rigidity is: EI = m*g*L3 / 3Y Where m=mass, g=gravity, L=length of beam and Y=deflection the natural frequency is f = 1/(2∏) * √ ( 3EI/mL3) Plugging in EI to the formula for f reveals that f depends only on the...
  47. N

    Cantilever related questions and clarifications

    Hi, I am trying to understand the force and stress calculation in a cantilever beam, with point load at free end and fixed end at other. So, Bending Force F=3EI.d/L3, E-Elastic Modulus, I Second moment of Inertia along XX axis, d deflection, L distance between point of consideration and...
  48. R

    Calculation of Thrust/Axial loads on Cantilever Turbine Shaft

    Hi, I am having a little trouble with how to go about calculating the axial loads being developed in a Wells Turbine. http://en.wikipedia.org/wiki/Wells_turbine I am looking at OWC's (Oscillating Water Columns) in particular The Wells Turbine is designed to rotate in the same direction...
  49. S

    Cantilever Beam Failure as a function of Force Applied to Free End

    Hello, First post, go easy. Trying to do some basic calculations on how to find when a steel cantilever beam will yield when a load is applied to the free end of the beam. I have attached my best MS Paint diagram of the problem. Assume the left end is clamped and essentially a fixed end...
  50. D

    A cantilever beam, find the tension forces

    Homework Statement http://i.imgur.com/5p9UF.jpg The Attempt at a Solution http://i.imgur.com/LZtRh.jpg and this is what was tried to do. But apparently T2 is complete off, any ideas? Or there is some other way to calculate this? Or perhaps someone can point me to better book other than...
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