A uniformly tapering cantilever of solid circular cross-section has a length L and
carries a concentrated load at the free end. The diameter at the fixed end is D and
at the free end d. Show that the position of maximum bending stress occurs at a
section
(d/(2(D-d))*L
distance from the...
http://img560.imageshack.us/img560/2662/nobending.jpg
This exercise is from machine parts. In order to find the width of the weld, I calculate the shear force and bending moment for this exercise. However, according to my teacher, there is no bending here and I calculate this exercise for...
Hi all,
I want to ask you a question about the bending moment equation:
σ= M * y / I
Does this equation have the same form if we assume,
-Plasticity instead of elasticity.
-Viscoelasticity instead of elasticity.
-Nonlinearity instead of linearity.
-Anisotropy instead of isotropy...
A uniform simply supported beam, 5 m long and having a cross-section as shown, is to support a load which varies linearly from zero at the left hand support to a magnitude of 20 kN/m at the right hand support. Determine the position and magnitude of the maximum bending stress.
ANS : 140 MPa...
Homework Statement
A beam supported at two locations is subjected to two equal loads at the end points
Compute the central deflection W.
Schematic:
\downarrow........\downarrow
____________________________
<--->Δ<-------><------->Δ<--->
...a...L...L...a
The delta's are the...
Hello, and sorry for my English, as I am Norwegian.
I have a statics problem which I can not understand.
I've taken a pic from my book:
The problem asks me to find the largest bending stress, σb, in the incisions 1 and 2.
I have the solution in front of me, I just don't understand...
Homework Statement
This is not a homework problem but a general situation where I'd like to know which is better to do.
Say for example I have a cantilever beam of length L and some moment of inertia I, first moment of area Q and thickness t with a force P applied at the free end...
Homework Statement
We need to design the cross section of a beam to make it suitable to carry a uniformly distributed load. The beam is held up by 4 ropes which are shown on my diagram as R. In the same attached picture I have the shear diagram and the bending moment diagram for this...
Hallo Engineers,
I am a little bit confused here and i need some guidance.
Can any of you educate me on how to calculate the Bending and Torsional stiffness of a Hat/Omega stringer attached on a plate to form a fuselage panel?..You can also recommend to me a book where it is clearly described...
Hi I am a new member and put illustrated diagram and my answer for Ra and Re but stuggling with how to calculate the other reactions of the beam, one other thing on the illustrated diagram it show w1, w2, w3 the weight is 0.2 kg on each load case, i think this needs to be converted 0.2 x 9.81 =...
Hello.
I am attempting to build a fixture which will place uniform tension onto one surface of a rectangular beam. I know that I must force the beam to deflect along a set path, but I am having trouble determining what the equation for this path needs to be. Any guidance on this would be...
if you have a beam or something, anchored at one end and apply a moment at the other end, then the bending stress is given by M*y / I, where I is the moment of inertia of the beam. what affect does the length of the beam (i.e. the distance between the anchor and the end of the beam, where the...
Homework Statement
The picture of the beam below has a module of rigidity EI, determine the reactions at the supports and the equation of the deflection curve of the left half of the beam
Homework Equations
v*EI=((Ma*x2)/2)+((Ra*x3)/6)
Ʃ of Forces in Y direction = Ra+Rb=0
Ʃ Moments...
I'm trying to write a very simple program to generate shear and bending moment diagrams for beams.
The thing is that I don't know what kind of loading that the beam may see so I want to be able to write it as generically as possible.
I'm trying to find a web resource (not a book, unless...
what i know is the the max BM at zero shear
but it is said that max BM in the cantileaver beam is at the fixation
how?
is the shear there )0) ??
there is reastion so how?
Homework Statement
Draw the shear and moment diagrams for the loaded beam. Then answer the questions. The distance x is measured from point A to the right.
I have attached an image of the problem.
Homework Equations
The Attempt at a Solution
I've managed to answer...
Homework Statement
Hi everyone this is my first post. I am having a problem with the bending moments of the beam (see attached files). I cannot for the life of me seem to get the bending moment to finish at 0 so I can draw the bending moment diagram. I know this is generally quite a simple...
Homework Statement
The T-beam is loaded as shown in Figure attached Find the maximum transverse shear stress at the location of the maximum bending moment.
Homework Equations
Forces in Y direction = 0 for it to be in equilibrium
Moments about a point = 0 for it to be in equilibrium...
Homework Statement
Find the design ultimate sagging and hogging bending moments per metre width of slab.
Load on slab- Imposed 32 kN/m
- Permanent 39 kN/m
Length: 5m
Depth: 8m
Thickness: 0.175m
Not sure if relevant but it has 2 spans (i.e. two 5m lengths of slab) but...
I am a little bit confused about the upward band bending in a n-type Si which is in contact with a metal. Suppose that electrons flow from Si to the metal to align the chemical potentials such that positive donor levels become depleted. In equilibrium one ends up with a negative charge density...
Homework Statement
I have to do the following practical, but I am unsure of how to calculate one of the variables.
We are doing this test
and we are given this information to calculate E.
I have equations on how to calculate R and I, but I am not sure how to calculate M. It's...
Hi All,
I need to calculate how much force is required to bend a beam to a constant radius. The beam will be simply supported on both ends and the force will be applied much like a 3 point bend but with a curved face instead of a single point. For most of my application, the beams are...
Is anyone familiar with the Roark's text that can clarify some terms for me? I am trying to clarify what Roark is referring to in the above mentioned text in the section on short beams (in the 5th edition 7.10 and in the 7th edition 8.10). Throughout the text, he uses the terms "span" and...
Problem:
15 MeV electrons enter a bending magnet with a magnetic field of .7 tesla. What is the radius of the path of electrons?
Equation:
r = mV/Bq
B = .7 tesla
q = 1.6 x 10^-19 C
My problem here is that I don't know how to find the velocity of the electron for this...
Homework Statement
http://img189.imageshack.us/img189/9131/22465062cfdd4934b51d7f5.png
Hopefully the image isn't too difficult to decipher... Basically a beam balanced on to pin jointed pivots with 6 metres in between each one.
Homework Equations
ƩFy = 0
ƩFx = 0
ƩMP = 0
The...
If I have a wide beam, parallel to the x axis, with its COM at the origin, then I want it to curve about the y axis, what would the elements of the strain tensor be?
I have come to the conlusion that the beam would, for example,contract above x-axis and expand below it. But I don't know how...
Hi Guys,
Do you know of any short formula to calculate bending moment of the beam on the attached image?
I need to know the force at which this beam will start bending.
We have a design of stainless steel pipe with a bend radius of 1.5 The OD of the pipe is 47mm and the wall thickness is 3mm. Can anyone tell me if this is possible please? I am pretty sure the SS is austenitic. I thought that as a rule the minimum radius was 2.
Thank you
M=EI\frac{∂^2w}{∂x^2}
1. What exactly is this? Is it like a geometric constraint? This equation doesn't seem to depend explicitly on external loading or beam boundary conditions.
2. Can I derive this starting from the Euler-Bernoulli beam equation?
I am dealing with a beam with...
The simple question is whether it is possible to have curvature in a beam with no bending moment (similar to how there can be strain without stress)?The main example I have to discuss what lead me to this question is a beam which has been prestressed concentrically and so is undergoing only...
It’s clear that bending moment for a curve beam is less than straight one
And you can attribute this to moment of inertia, but there is something i don’t understand
Which is if i have straight beam with small moment of inertia or huge moment of inertia simple supported beam), the moment will...
Hi friends.
I am so new with Comsol software to design something but I wonder, if it is possible to desing a bending magnet (dipole) and simulate the motions of electrons ? I really would like to do this. Please give me a hand,help me to handle and try to do one together.
Best.
In the tank building industry some pressure vessels use curved pieces of flat bar, welded to the tank, to protect nozzles in the event that the tank rolls. I'm trying to determine how thick the flat bar should be for a given length so that it won't bend too much and allow a nozzle to be damaged...
First, i want to state that i am very interested in physics, but i have not done any education on this subject, except for science class, which only covered the tip of the iceberg of information we now have.
Second, i want to excuse myself for possible faults in data, I'm happy if you correct...
how can i graph the equation of the bending moment?
The equation is: σ = MC / I and i want to graph in excel or matlab, , so i know that the graph is a straight line, and i have the values, but i don't know how draw the graph
Hi I am new to this site, but would be very grateful if someone could steer me in the right direction to calculate the following:
Currently within my work area I have been asked to look into Titanium forming - I am just trying to approximate how much force or press tonnage would be sufficient...
Homework Statement
Hi
I am having tough time figuring out how to determine normal stresses σx, σy, σz using the flexure formula.
All that confuses me is which moment to take for which σ. My for σx or Mz for σx and so on..
I will post an example question.
In the question below, find the...
Hi.
I am solving some questions on transformations of stress and strain.
I am getting stuck in one part of the question in all the problems.
I am having difficulties to determine σx, σy, τxy at a certain point in the structure.
Equations
σ = P/A + Mc/I
τ = Tc/J + VQ/It
Some...
I have always thought that a radiation heat pump could be made if one could bend radiation perhaps beating carnots law. Do you think that if you have a big sphere at a temperture to emit visible light that radiation traveling through a vacuum inside the sphere could be bent around a smaller...
Hi!,
Im relatively new and need some help on a simple problem. If i have a force in one corner of an object and want a resultant bending moment in the opposite corner, how do i find this? see attached image.
Obviously i have two bending moments, 100Nx1.7m and 100Nx1.2m, how do I find a...
Hi there, first post on these forums. I have a seemingly simply question about beam bending.
We (mechanical engineers) are all very familiar with the standard beam bending scenario. The beams are always shown being loaded perpendicular to the neutral axis, regardless of the type of support...
Problem:
What is the equation that relates properties of a metal (modulus of elasticity, yield strength, elongation, etc) to how far it can deflect before permanently being bent. I can calculate how far a beam will deflect under different loading and support but I just don't know what the...
Hello,
I am no mechanical engineer and my knowledge in bending is limited to Euler-Bernouilli beam theory.
I wish to analytically calculate the normal stress of a plate bent by four points bending. I have already calculated this stress for a beam.
However I cannot apply the beam theory...
Homework Statement
Find the equations for the bending moment along AB and BC?
Reactions at A = -15kN
Reactions at B = 60kN
Homework Equations
F in the Y direction = 0
Moments with clockwise being positive = 0The Attempt at a Solution
Moments about cross-section from the left before the...
Hello,
I need to find the bending moment and forces at the mid point cross-sections of two separate beams connected together. One is a horizontal beam connected to the top of a vertical beam that sort of look like this:
H========
H
H
H
H
There is a UDL of 10kn/m on the top member, with the...
Homework Statement
A timber beam, with rectangular cross section (h × b) is reinforced with additional full width (b) steel plates. There is a plate of thickness t securely connected on the top and a plate of thickness 2t on the bottom of the timber to ensure composite action in bending. The...
Hello,
I'm a civil engineering student.
I learned how to contruct a funicular polygon and bending moment diagrams in two different subjects and I realized how close looking the two are, so I wondered if there was a good explanation to relate the two.
I can feel it's kind of the same as the...
hi all ,
I am a new member in physics forums and I hope I can help and get benefit from this forums .
I would ask anyone knows about the moment of inertia cos i have not study it before and I have to know it to solve a bending stress problem ..
when I used the moment of inertia for...