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.
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
Suppose a cantilever beam stands uprigt, such as a tube attached to the floor in one end and free at the other end. Suppose then that a force is applied normal to the beam at some point along the beam causing a deflection. Then suppose that at t=0 the force disappears, and the intertia of the...
Homework Statement
A positive moment of 12000Nmm at the tip applied as two equal and opposite point loads of 1000N in the x direction at C and D.
The beam is fully fixed along AB. Young's modulus E = 200*(10^3) MPa and the poisson's ratio = 0.3.
Geometric Properties: Width, b=10mm...
Problem and Solution (albeit to a beam of different length L) provided in attachments.
Hi, I have been able to follow the provided solution to get the moment equations and understand the x1 and x2 positional references etc. I also understand that integrating the moment equations provides the...
Hello
For my dynamics I had been going through some examples and verifying them using Staad Pro. However, I been having issues with some of the examples as some do not show the full detail of calculation description.
The one example been having problem with is where you must calculate the...
Hello Phys Forum
I’m trying to solve a dynamic problem that involves a cantilever beam fixed onto a support that experiences a time history load on the free end of the beam as shown below:
/
/
/--------------------------------[]
/
/
Cross section Beam is rectangular beam with 1m width and...
Just want to ask if the moment diagram of Cantilever beam with fixed end at left is the same as with fixed end at right. What I mean is that they are just mirrored ? Thanks
Homework Statement
a cantilever beam 5 m long with a mass of 100 N/m carries a concentrated load of 1000 N at its free end. The end of the beam is inserted into a wall 0.5 m thick. What are the reaction on the beam.
Homework Equations
The Attempt at a Solution
My problem is I...
Hi,
I'm looking for a parameter or a design guideline that could say weather or not the classical bending theory can be applied to certain beam under certain load. I'm making my dissertation about some work on cantilever beam and it's first natural frequency, so in order to model correctly...
Homework Statement
I would like to know how to find the horizontal and vertical deflection of point C shown in the attached diagram. I also need to find the angle of deflection for point C.
Homework Equations
The Attempt at a Solution
I've already found a solution to this problem...
Homework Statement
I have a piece of metal with one end fastened to a table by a clamp and the other end off the table. I only know the length of the beam and the strain. I am trying to figure out the stress in order to figure out youngs module so the metal can be identified. How do I do...
Hey everyone, I'm having some trouble with my material science homework. I really have no idea where to begin:
Consider a piece of beam of 1 cm in length with one end fixed on
a wall and the other end free (see illustration below). If you bend the beam by
applying a force at the free end...
1). Would you always go through a selection criteria to help decide on the most appropriate one to use if you had no prior knowledge of the system?
2). Would the environmental parameters need to be assessed for any kind of system regardless of the conditions?
3) Would the dimensions of...
Homework Statement
Design a bolted joint to attach a suitable American Standard Steel channel at a 15 degree angle to store the bundle of nominal 8 inch diameter x 30 feet long seamless wrought steel pipe. An identical member 20 feet away supports the other end of the bundle. The bundles may...
Homework Statement
I am trying to work out the Shear force and bending moments in a simple cantilever bean with a point load and a U.D.L but am not sure of the equations or how to go about starting it. Its a 2 m long cantilever beam built into a wall at the right-hand end, Point C. A UDL is...
Homework Statement
I am using a Vishay strain indicator with it hooked up to a strain gage hooked up 1" away from the wall on the solid beam. The beam is .5" by .5", and it is solid. The beam is 16" long and I am putting weights at the end of the beam. The weights are 1, 2, 5, 10, 15, and 20...
From the picture,
Why do this diagram have the force of H? The wall which exert the force of H to the beam?
V=W that have been known from the questions.
When V=W, what else of other forces to balance the forces of G and H?
Besides, the moment should been clockwise moment, then the...
I developed a COMSOL model and calculated the first 6 modes of vibration of cantilever beam. Later out of curiosity, I looked up some videos on youtube to see actual cantilever. I found this video which shows the first mode.
How do you know that its first mode of vibration? More...
I've been looking at the equations describing different aspects of cantilever beam dynamics, but I can't seem to find what I'm looking for. (And I'm not smart enough to derive it.) If I pluck the tip of the beam and measure the location (x) of the tip over time (t), it should look something...
Homework Statement
Im trying to find the equivalent mass of a beam so it can be modeled as a hanging point mass problem.
Given the v = y_dot equation, y equation, and T
Somewhere I am messing up with my math I believe as I am getting .36m instead of what I believe should be .23m...
Tapered cantilever beam with varying depth structural mechanics question help pleas??
[b]1.
A tapered cantilevered beam of length 1000mm is fixed at the left end and carries both an
upward load 400N and a positive moment (M) at the free right end. The out of plane
thickness of the beam is...
Homework Statement
Homework Equations
\sigma_x = -\frac{M(x)y}{I}
I = \frac{bh^3}{3}
The Attempt at a Solution
For point A, I did the following:
I = \frac{t(2h)^3}{3}
I = \frac{8th^3}{3}
\sigma_x = -\frac{3\tau_0}{4th}
\tau_{yx} = -\tau_0
\sigma_y = 0
Are my...
Hello Folks,
I'm after a little help here, I've been asked to calculate the maximum strain a beam is under at a certain deflection, for a part we are planning to get Rapid Prototyped
It is a rectangular beam attached to a wall at one end
I have the material data sheet for the material...
Cantilever BEAM ! little problem. I have solved almost everything.
Homework Statement
The link below has the problem:
http://i52.tinypic.com/2r3bcdc.jpg
Homework Equations
M = E*I(d^2*w/dx^2)
slope = E*I (dw/dy) = integral of E*I(d^2*w/dx) + c1
deflection = E*I * (w) = double...
hi~I'm Rex.I have a problem,can anyone help me slove it.
The problem is : Draw the mode shapes and get the natural frequencies of the cantilever beam(with a force in free end)
The bar is shown in Fig.1(you can see in )
and it elastic modulus of 200GPa, cross-sectional area of 0.001m^2, and...
I found two different versions of equations to find natural frequency of a cantilever beam. I am not sure which one is right. I would appreciate if someone could make things a bit clear here
F1= k^2*sqrt(E*I/(mpl*L^4))/(2*pi) where k=1.875 for first natural freq and I= b*d^3/12;
OR is...
As part of some research work, I am reading a research paper which has taken damping factor of a cantilever beam c=0.01kg/ ms. With no background in advanced physics, I cannot understand how this assumption has been made. If you could tell me what's the damping factor of a cantilever beam in...
I am a newcomer to FEM and Ansys, so forgive the possibly banal question:
I have modeled a cantilever beam with a vertical point load acting at the free end using Ansys (using a PLANE42 element) and am slightly confused about the resulting plot for stress in y direction (y being the axis...
Hi guys,
I'm wondering how the wall of the cantilever beam (a beam fixed at one end at a wall) can exert a reaction moment? Is this done by the wall pushing back on the cantilever beam away from its centroidal axis?
Also is the reaction moment always applied to the centroidal axis of the...
Homework Statement
Sorry for wasting your time and bandwidth, but I can't figure this out. I just have a cantilever beam with the following specifications:
length : 40 in.
width: 2 in.
height: 2 in.
E = 30e6 psi.
mbar = .8991 lbm/in.
And I'm trying to find the beam's resonance...
Hey there
I need to find the natural frequency of a Cantilever Beam. The beam is tapered in breadth, but has a uniform thickness. So basically the end goal is an equation for f as a function of the angle of the side cut.
Clamped at one end
L=constant
B=changes though the length of the...
It is easy to analyze a cantilever beam of constant cross section and point loaded at the end for stress and deflection.
But what about including a gusset support? Is there a method to analyze this?
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...
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...
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...