Homework Statement
i) Determine the slope of the beam 1m from the wall.
ii) Calculate the deflection at the free end of the beam.
Homework Equations
Macauly's method of deflection: M = -RX + W[X-a]
Integrate once for slope
Integrate twice for deflection
The Attempt at a Solution
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I'm doing an experiment measuring the relationship between length of a cantilever beam and period of oscillation when I twang it on one end, but I can't seem to understand the equation. The equation for measuring frequency is given here:https://www.hindawi.com/journals/amse/2013/329530/
but I...
I am trying to derive the strain at the base of a cantilever beam with a known deflection. I know the bending stress is equal to Mc/I, so the strain is Mc/IE, where c is the distance from the neutral axis. For a point load ,P, the strain would then be PL/IE. Since the deflection is known I...
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- ...
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.
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 im doing some handcalcs. I have done a static analysis and calculated the maximum deflection...
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...
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...
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...