Cantilever Definition and 216 Threads

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...

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...

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

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...

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...

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.

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

Hello Can somebody guide me to a mathematical solution for a cantilver beam which is totally restrained on only 2/3 of its depth. Thanks in advance

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...