In applied mechanics, bending (also known as flexure) characterizes the behavior of a slender structural element subjected to an external load applied perpendicularly to a longitudinal axis of the element.
The structural element is assumed to be such that at least one of its dimensions is a small fraction, typically 1/10 or less, of the other two. When the length is considerably longer than the width and the thickness, the element is called a beam. For example, a closet rod sagging under the weight of clothes on clothes hangers is an example of a beam experiencing bending. On the other hand, a shell is a structure of any geometric form where the length and the width are of the same order of magnitude but the thickness of the structure (known as the 'wall') is considerably smaller. A large diameter, but thin-walled, short tube supported at its ends and loaded laterally is an example of a shell experiencing bending.
In the absence of a qualifier, the term bending is ambiguous because bending can occur locally in all objects. Therefore, to make the usage of the term more precise, engineers refer to a specific object such as; the bending of rods, the bending of beams, the bending of plates, the bending of shells and so on.
Hello friends,
so i have this problem:
A beam under test has a measured radius of curvature of 300 m. The bending moment applied to it is 8 Nm. The second moment of area is 8000 mm4. Calculate the modulus of elasticity for the material.
ok so using the engineers bending equation i have...
I think this is the right place to put this. If not I apologize. Feel free to move.
I am trying to solve the bend angle for a bar given specific dimensions. The bend angle is acute as in the bar traverses the pin for more than 90-degrees. The bend angle is the angle of the projected lines...
Say I have a wooden beam with an angled pattern in it if the beam is flexed (and assuming First order shear deformation theory holds: parallel lines remain parallel after flexing) what would the flexed pattern look like?
I think it would look like the pattern in the middle picture since the...
Hi. I was assigned this coursework by my lecturer. The problem is I have only been taught how to analyse a solid beam section and not a hollow section as is shown in the problem. What I would like to know is how to calculate the area. Usually I would do this by calculating Length x Breadth. I...
Bending moments Help!
Hi guys, didnt really know how the layout of a bending moment diagram would fit under the standard template provided so i'll have a bash at explaining the problem.
On my school course i have been doing bending moments/diagrams and shear force diagrams, but a few days...
Resolving Forces - Shear and Bending Moment - :)
Homework Statement
The data table and associated questions are rather complex, if you have the time it would be much appreciated if you could have a look at the attachment and provide me with a solution or point me in the right, i just can't...
Would anyone be able to explain how to calculate and use bending moments? I have been studying cantilevers and Euler's strut and I don't understand the following:
Why for a cantilever the bending moment is positive, and for the Euler strut the bending moment is negative. As far as I can tell...
I think the broadest way to frame this question would be as follows:
"If a metal conductor (copper wire) were bent at room temperature, then placed in a cryo-cooler and cooled to ~30-80 kelvin, would it experience any 'unbending?'"
More specific to the situation, I've bent down the center...
Very simply put.
Is it possible to determine bending stress in a beam without knowing the young's modulus of the material used? All equations I've seen seem to include in some form an E value ( young's modulus), which is used in conjunction with a stress value to evaluate the strain.
I have the solution's manual for this particular problem, but I'm having hard time understanding the steps they've taken. I've attached pictures of the problem below.
For the shear, are they using 1/2*x*(wx/L) because it is equal to the area of the force?
And for the bending moment, where are...
I have a steel deck (a) 2000mm x (b) 4200mm overall comprising 12.5mm durbar plate (grade S275) welded to RSA ribs at 400mm spacings, the plate is unsupported in the other plane (4200mm span) with the exception of end plates.
I wish to drive a forklift truck over the plate with a wheel load of...
Hello,
while solving bending of light problem, where I shoot a light ray from one tower to other. How much light has fallen upto the middle point ? I was able to reduce the eq to
\phi=\int[1-a(\cos\theta+\frac{1}{1+\cos \theta})]^{-1/2}d\theta
a is very small, also if there is no gravity "a"...
Homework Statement
A beam ABCD simply supported at A and C. AB= 2 m, BC= 6 m, AC=8m and CD= 2 m. It carries a uniformly distributed load of 30 kN/m between A and C and concentrated loads of 50 kN and 20 kN at B and D respectively.
I want to find the maximum bending moment and its distance...
Homework Statement
The problem is to determine the maximum deflection when a person is standing on the beam in the attachment.
E= 206.8 GPa, v=0.3
Homework Equations
(although I am not completely sure if this one is relevant)The Attempt at a Solution
I've thought a bit about the problem...
I am having trouble trying to find the force required to accelerate a wheeled cart. so that i can calculate the bending moment in a stopping bracket,
the bit I am stuck on is The Acceleration of the cart, the situation is;
An 80,000Kg Wheeled cart runs on rails from rest and hits a stop...
Homework Statement
I have an assignment that is similar to the following question. I believe if i am able to do this question i will be able to do the assignment. However I cannot seem to be able to get this question right. Below the question and answer...
In strength of materials, we have to do a project using strain gages to measure a weight between 0 and 10 lbs with an accuracy of .1lbs. My group is using bending strain. We have a formula, S_{}b=\frac{F*L*6}{E*b*h}, where F is the weight applied, L is the length, E is the Young's Modulus, b...
I'm trying to construct a bending moment diagram for the situation as below:
[PLAIN]http://img42.imageshack.us/img42/633/bmdiag.jpg
Where Ra and Rb are reaction forces, L1 and L2 are lengths between Ra and N and N and Rb respectively, N is a force acting perpendicular to the beam and P is...
Homework Statement
Draw the shear force and bending moment diagrams for the beam shown in Fig. 1 below. Determine the maximum tensile and compressive bending stresses and the positions at which they occur. The beam’s cross-sectional area is shown in Fig. 2...
I just watched a show on Einstein concerning this theory of general relativity. Around 1922 photographs of stars from an eclipse were used to measure the bending of light from those stars around the gravitational field of the sun. Those measurements were used to confirm Einstein's theory. All...
Well I know I need to plot Mohr's circle for this, but what are the things i need to do before reaching that stage.here is the question:
A 250mm diameter pulley is mounted on a 50mm diameter shaft at a distance of 200mm from a ball bearing. If the belt tension ratio is 3 to 1 determine the...
I read an article about Brake Shafts bending behavior due to braking.
Assume that there is a Shaft and to its end a brake disc is fixed. The shaft is set to rotate at certain rpm. Now when brakes are applied it seems the shaft tend to bend.
Could anyone explain me the reason for this...
OK I have no idea how to work this out. I've googled bending radius but it doesn't really help a great deal.
It's the 2nd part of the last question:
http://img535.imageshack.us/img535/4774/10579351.jpg
There's nothing in my notes about it, but I guess it has something to do with how...
ok il say this now I am curious what would happen if you were able to bend the accretion disk and the ergosphere so that they bend passed the outer horizon and into the inner horizon were the singularity is located i know this is a 0.0000000000000000001 chance of happening but it would be a...
bending stress in beam, help me !
Homework Statement
Homework Equations
singularity function
bending stress (max) = { (M max)/I } * ( a/2)
The Attempt at a Solution
after writing the singularity function, and compute reactions force I found that the maximum bending moment should be 12.04...
Homework Statement
http://img80.imageshack.us/img80/4476/bendingshearquestion.jpg Homework Equations
\sumM = 0:
\sumFy = 0:The Attempt at a Solution
Revising for my finals and going over questions, and would like to understand more clearly how to get the following.
Solution is in the image...
Homework Statement
http://www.facebook.com/photo.php?fbid=1612917330439&set=a.1250823718325.2039017.1461460506&ref=fbx_album"
The Attempt at a Solution
I don't want to ask about the full solution for this thing, but only one thing: in that expression, which is the kinetic energy and...
I'm currently studying Agri. Mech. Eng but I need some help on this, I know roughly what to do but it's where to start:
1. Design a skimming boom for a biomass slurry transfer tank which can have a reach of 7.5m. Tool must attach to a "quick hitch" plate - factory spec for the loader is...
So I have a plate connected to a metal wall that is riveted to the wall with 5 rivets. This plate then has a ball joint connected to the one end which has a load of 460 Lbs. at a 21 degree angle. All the drawings have been attached.
I need to prove that the plate will indeed bend under such...
Homework Statement
Refer to the attachment provided
Homework Equations
Just taking force and moment equilibium of whatever component I choose.
The Attempt at a Solution
I assumed a uniform force distribution.
Set the origin at the leftmost end. For 0< x < \frac{L-a}{2}
The...
I guess it has been too long since i have had to use any math beyond arithmetic. I am working on fabricating some tube work, and these similar shapes keep coming up. I keep thinking i can calculate them out, but for some reason i always get stumped and feel like i am missing some information. I...
I'm working on a problem involving the bending of a beam.
The bending is a result of an expansion within the beam, rather than an external load. Basically, there is an expansion in the volume of one side of the beam and a contraction on the other side. I have therefore calculated a...
Tungsten Filament bending and production!
my machine produces filaments for a UV lightbulb, the filaments are basically tungsten coiled tightly around a tungsten shank, and the machine used to do this perfectly! however it was switched off for a about a year during development.
but now when...
Homework Statement
This isn't really a homework problem but something I...felt like figuring out. I'm an EE student, so this isn't rly my game, but I'm giving it a hack anyway.
See the attachment for an outline of the problem.
The attachment shows the top view of a beam connected rigidly...
I apologize for not using the template, but my question is more of a conceptual question than anything else.
The only thing so far that confuses me with Shear and Bending Moment Diagrams is when, in some cases, it is easier to approach the beam from the right side instead of the left...
Hi, everyone.
I was told that when a beam is short, L<=5H, the equation of "Stres=Moment*/2nd moment of initeria" is not valid (how).
(where H = deapth of beam ; L is the location of F acting on that beam)
Is that ture and is that relate to principle axis?
Also if it is ture, why...
Homework Statement
I have a 20' (240 inch) beam with supports at 0in., 80 in., 160 in., 240 in. I need to give the beam a rating (maximum load; capacity) since it is a monorail for a 3 ton hoist. I've asked the question to my prof (his work is attached).
Homework Equations
I...
Homework Statement
The ski supports the 900N weight of a person. If the snow loading on its bottom surface is trapezoidal determine the intensity w (N/m). Draw the shear and bending moment diagrams for the ski.
The ski has an overall length of 2m. The force arrows 'hang' of the bottom of...
Hi,
I came across a piece of maths with which I am struggling to find info on. It has to do with the stress induces in a cylindrical shaped wire (nanowire to be precise).
The article where the maths appear is attached. The specific problem is in equations 12 through 13.
Thanks
I am new to this subject of topology. I want to know if bending and stretching of a manifold is same as a general transformation of a coordinate system drawn on the manifold. Or the mathematical definition of bending and stretching shall equally help.
Homework Statement
The problem can be found here:
Sorry the picture is so small. I guess you can download it and then zoom in or something. The main question I'm interested in 2b. Calculating the moment.
position of neutral axis: 37.14mm
Second moment of area: 2.83 x 10^(-6)Homework...
Ok. There are 2 universal beams. One is 500mm deep and the other one is 400mm deep. For both beams, the top and bottom flanges are 200mm wide x 10mm deep. [SPAN of the beams is not given]
Questions is..If the maximum bending moment capacity of the 400mm deep universal beam is 200 kn.m. What...
I would like to know ,
given with the 2 attachments below,
are there any ways to find the bending moment (as circled) of the bridge?
or it is not possible to calculate simply because the "load" data is not given?
Several attempts have been tried but the circled data can not be...
Hello I hope you can help me and give me some guidance, hopefully I have posted this in the correct section of the forum.
I need to calculate the moment on the attached drawing, and the loads then transferred to the base material, if it is shear, tensile or an oblique/combined load. some...
Homework Statement
A steel strip of breadth 50 mm and depth 3 mm needs to be bent around a drum of diameter 4 m. What bending moment is required and what will be the maximum stress produced? The modulus of elasticity of the steel is 210 GPa
Homework Equations
\frac{M}{I}...
Stress/strain+general bending equation...
Homework Statement
A steel strip is to be bent around a drum of radius 1m. What is the maximum thickness of strip that can be bent in this way if the stress in the strip is not to exceed 100 MPa.
The steel has a modulus of elasticity of 210 GPa...
Homework Statement
A horizontal beam 8m long, resting on two supports 1.5m from each end (supports are 5m apart), carries a uniformly distributed load of 25kN/m between the supports, with concentrated loads of 20kN at the left end of the beam, 30kN at the right end, and 40kN in the centre...
Homework Statement
Note the attachment. I scanned it out of my book and I drew a FBD on it.
Homework Equations
The Attempt at a Solution
Ok so i haven't gotten very far at all with this one because it just doesn't seem to have enough information.
So first I summed the forces...