Cantilever Definition and 216 Threads

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...

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: / / /--------------------------------[] / / 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...

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 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...

Homework Statement The Attempt at a Solution Is my work correct?

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

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...

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?

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...

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

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...

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...

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...

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...

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...

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...

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...

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...