In the center of mass frame of reference i found that ##p^{*}=\frac{[(M^{2}-m_{\nu}^{2}-m_{K}^{2})^{2}-4m_{\nu}^{2}m_{K}^{2})]^{1/2}}{2M}##.
I don't know how to find the momentum distribution ##p_{L}(\theta)## considering that i have 2 different mesons with a specific number ratio...
What are the simplest, even if not very accurate, non-numerical ways (for example a variation of Euler-Bernoulli) for describing the deflection relative to a given load of a free-free beam with irregular shape (variable second moment of area and/or lumped masses distributed at some points)? In...
I'm interested in understanding how to deal with a torque applied to an angled cantilever beam. The torque is being applied along a horizontal axis at the location of the end of a cylindrical beam. I am interested in how this torque will cause twist along the beam's axis, as well as any...
Imagine a steel I-girder lifted by a single wire rope. If the rope is not perfectly centered along the girder length, the girder will rotate about a horizontal latitudinal axis through its centroid.
Imagine a girder pair lifted by two wire ropes, with one rope on each side of the girder...
Homework Statement
Hello, I have a problem I don't want how to approach, it is a little weird. It is a problem of equilibrium (torque)
The situation and my approach is in the picture I uploaded. A beam is supported by the blue structure. On the beam it is a person(100N) at a distance of 3m in...
Please see my attachment of a recent observation of light traveling through a medium.
There is no source, just my observation
The packets of light appear to be visible, distinct , moving at different speeds, and display the various colours for each wavelength.
Is this normal / possible in a...
My mechanics of materials book states that in order for an element to be in equilibrium it must have equal horizontal and vertical shear stresses. However, it also states "The shear stresses in the web of a wide-flange beam act only in the vertical direction and are larger than the stresses in...
Homework Statement
See attached photo
Homework Equations
Stress = F/A
Area = pi d^3 / 4
Sum F h = 0, Sum F v = 0, Sum M = 0
The Attempt at a Solution
Hey everyone, after reading the question a number of times and not knowing for certain where to start, I figured because the stress and area...
how could we produce a secondary beam consisted of long neutral koans using PS or SPS ? I mean is there any example of such an experiment? what are the conditions for conducting this such as the type of the primary beam, the type of the target and the momentum of the
beam? Im interested to...
Hey guys, I've been reading my strength of materials textbook and its pretty much like a reviewer that contain several problems and short descriptions of their concepts.
There's this formula that computes the maximum moment for two moving loads and its:
[PL-(Psmall)(d)]^2/4PL
where P= Psmall...
Homework Statement
I am given this beam:
imgur link: http://i.imgur.com/tw6EEJz.jpg
and asked to express the slope at A and the max deflection in terms of a, E, I, and Mo.
I am being told that my answer has the wrong multiplier...so I assume that my overall approach is ok (??) but I've...
Homework Statement
I am trying to understand how forces transfer from a wheel / pulley onto a beam, and then calculating the resulting moment. The image describe the problem.
The rope is in tension with force "S", the wheel/pulley can rotate freely without any friction.
Homework Equations...
Here I am only considering 4 adjacent electrons in electron beam, especially the 2 electrons that are moving in tandem with velocity v.
Moving charge will generate circular magnetic current. you can imagine magnetic flux as current, just like electric current.
So, the question is same to find...
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...
Hi,
Well i have a system with a excited (in y axis) cantilever beam. I struggling to obtain a expression that gives the strain based on the dislocation y.
I know that the displacement of the beam is given by:
Ya=PL^3/(3EI)
but how i make a correlation between this and the strain of the...
Homework Statement
A uniform beam at equilibrium is suspended by a cord at X which is 2m from one end of the beam and and 3m from the other end. There is a mass of 28N attached to the 2m end and a mass of 10N on the 3m end. Determine the weight force of the beam
Homework Equations...
Homework Statement
I am trying to find the maximum deflection in a brass beam, however after taking a physical reading the theoretical answer I get is quite off and I am wondering what I am doing wrong.
Homework Equations
They tell us the max deflection is( Load*Length^3)/(48*E*Second Moment...
Homework Statement
Calculate the reaction force at A?
Homework Equations
ΣMb = 0
The Attempt at a Solution
As there is a pin joint at B it is possible to consider the bar only from A-B.
From here I applied
ΣMb = 0
120 + 20*2 + Ay*4 = 0
This gives Ay = -40kn
Also since there are no forces in...
Hello there,
In this semester I'm studying the vibrations course. In this course we get questions like calculating the total stiffness, set up differential equations and so on. The book that we use (Theory of Vibrations) has not been very useful, our exams give beam spring structures related...
I am trying to make a FBD for equipment which is half out of the beam, I realise I can represent it with a single line of force.
But how if I want to go for distribute load? which one is the correct one. (purposely not drawing reaction force on floor.)...
regarding this equation,
δ=(PL^3 )/(48EI)
For the calculation of maximum deflection, if my structure is not longer a full form beam (meaning the structure has 6 holes drilled to it), can this formula still be used?is...
Bonjouro!
Firstly, as this is my first post here, I would like to say thank you to everyone who is a part of the site and Hello!
I've used this forum a number of times, but this is the first time I've posted here as this user!
If the flexural stiffness of a beam is 25 MNm^2, and the beam is...
G'Day Everybody, I am computing buckling of a rectangular(edges: a*b) specially orthotropic composite plate. The boundary conditions are clamped-clamped at the opposing loaded edges and the other two edges are free (also known as CFCF). After having the boundary conditions and the governing...
Homework Statement
Two beams of different cross sectional areas are fused together to create a single beam, as shown in the figure above. The following relationships apply: A1 = 2A2, L2 = 2L1, E1 = 3E2. A tensile force F is applied at the ends of the bar, as shown. What is the ratio of the...
Hello
Is it possible to derive the Euler–Bernoulli equation:
\frac{d^2}{dx^2} \left(EI \frac{d^2w}{dx^2} \right) = q
from Navier-Cauchy equations:
\left( \lambda + \mu \right)\nabla\left(\nabla \cdot \textbf{u} \right) + \mu \nabla^2\textbf{u} + \textbf{F} = 0
I don't really know where to...
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- ...
Greetings PFers,
Would it be possible to move microscopic particles of a wide range of composition (conductivity, density, etc...) using a directed beam technology? The idea is to have a fast 3D printing technology (practically no moving parts) that is capable of depositing of a wide array of...
I'm trying to find a solution to a system in which a clamped free Euler-Bernoulli Beam system rests on top of a mass-spring-damper system. The MSD system has nonlinearities in both the spring and the damper and is of the form:
I have extended the nonlinear restoring force to its 3rd term and...
1. The problem,
I have a beam 9000 mm in length.
assuming a x-coordinate system: supports are at the x= 1500, x= 4500, and x= 7500 positions.
there's a uniformly distributed load (let's call it w) through the length of the beam (from 0 to 9000mm)
Solve for the MAXIMUM moment. This would be much...
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...