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.
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...
So I have a 10 metre cantilever with a pin in the middle
There is a roller at the end and a UDL of 10 kN / m acting across.
Drawing the BMD is confusing me.
By my calculations; there should be a 50 kN load acting at the fixed end and roller.
Hence shape of the shear force diagram would be...
I have a cantilever bracket, fixed at one end, free at the other.
One vertical element AB, 330mm long with a fixing at either end to a wall.
One horizontal element CD, 375mm long.
CD is fixed at 90deg to AB, 130mm from the top.
A constant, downward load W=30kg, is applied to the end of CD...
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...
Homework Statement
The problem statement is as stated in the attached image, For a given E and cross section of both beams, I am to find the reaction at roller E that attaches beam AB and DC
Homework Equations
There should be stress relation equations and reaction equations. First is...
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:
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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...
Hey Guys,
I need help understanding how to find the deflection of the following cantilever beam (in the image: capture).
There a beam with a fixed end (point A), and a roller support halfway on the beam (point B), I need to find the deflection at the end of the beam (point C).
Can...
Hi,
I've already made a question and recently received a reply.
My question is how does a microcantilever have a torsional resonant mode.
We generally study a longitudinal mode, not so much considering the torsional mode.
The man who replied to my question said
"It's because of...
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...
A computer model has found geometries and frequencies associated with various vibration modes of my cantilever (see pictures). The model only accounts for an anchor at the far end and material properties of each layer.
In reality the bottom layer is piezoelectric, it is glued to the glass top...
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...
1. I have a rod as pictured in the attachment. The rod is at a 45 degree angle.
The load force is 115.118lbf
The force is y-direction is 97.954lbf
The Force at A is 5 inches from Force in the y-direction.
The force at B is 10.5 inches from the Force in the y-direction
I need to find...
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...
I am working on a design project and we have thought of cantilever beam to hold 1 ton mass spread along its span. I wanted to know what are popular ways to strengthen a cantilever beam to counter deflection and be able to hold objects loaded over it easily as I haven't seen any mechanics of...
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...
This might look a bit stupid but I have just started beams and I can't understand a part in this example it is to do with finding a general equation of the height at any given point on a tapered cantilever beam can someone please explain
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...
So I feel like this should be a simpler problem than most with COMSOL...
I have a simple cantilever (anchored at one end) with a force at some point source which is making it vibrate at some frequency. This is a macroscopic cantilever, so you can ignore viscosity (and most of the other Navier...
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,
I am trying to figure out how to calculate displacement for an irregular cantilever beam, i.e. one that is not the normal straight-beam that you would see in a textbook.
Please see the attached image. If the left end is fixed, and I want to calculate the displacement of point A due...
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...
I am having some difficulty getting my head around the terms tension (stress/strain), shear and torque in a bolt and cantilever.
Lets say we have a cantilever 1m long bolted to the wall, with the bolt in the middle of the cantilever and a 10N force hanging and/or directly attached to the end...
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...
Hi all,
I have a cantilever that is a plate (not a beam) with dimensions 2mm wide x 4mm long x 0.3mm thick. It is fixed only at one side, with the other 3 sides free. I want to be able to find the intrinsic stress on it after it is fabricated.
To complicate matters, I also want to put...
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 there
Just a quick question; when I'm calculating moments in a cantilever beam (in my case a quarter circular one), is there any reason (apart from my own ineptitude) why I shouldn't be able to make the cut and FBD starting from the fixed end?
I get different answers when I make the cut...
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
A body A weighing 22N is positioned on the end of a slender horizontal cantilever fixed at one end (mass of the plank is negligible). A force (vertically downwards) on A causes a deflection of 12.5mm. The natural angular frequency in rad/s of the body A is (nearly) ?
1)2...
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...
1. I am an architecture student and the assignment is to design a truss, set up the problem and solve it using graphic statics. I think I did it correctly using the graphical method but I am interested in solving it mathematically. Did I set the problem up correctly in my diagram and if so...
1. I am an architecture student and the assignment is to design a truss, set up the problem and solve it using graphic statics. I think I did it correctly using the graphical method but I am interested in solving it mathematically. Did I set the problem up correctly in my diagram and if so...
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?