An I-beam, also known as H-beam (for universal column, UC), w-beam (for "wide flange"), universal beam (UB), rolled steel joist (RSJ), or double-T (especially in Polish, Bulgarian, Spanish, Italian and German), is a beam with an I or H-shaped cross-section. The horizontal elements of the I are flanges, and the vertical element is the "web". I-beams are usually made of structural steel and are used in construction and civil engineering.
The web resists shear forces, while the flanges resist most of the bending moment experienced by the beam. The Euler–Bernoulli beam equation shows that the I-shaped section is a very efficient form for carrying both bending and shear loads in the plane of the web. On the other hand, the cross-section has a reduced capacity in the transverse direction, and is also inefficient in carrying torsion, for which hollow structural sections are often preferred.
In terms of unit material spent my impression is that an I beam uses it most efficiently at least for non-torsional loads? i.e. putting most material far from the axis into the flanges giving higher moments.
If so, what are situations when an angle or channel cross sections are preferred in...
Hello!
I have a problem/question and would appreciate your thoughts and experience.
So I have a »tip loaded cantilevered beam« as shown in the picture. On it's end there are a force and a torque acting in an unknown direction in the 2D plane.
I have to experimentally determine the force...
Homework Statement
A uniform vertical beam of mass 40kg is acted on by a horizontal force of 520N at its top and is held, in the vertical position, by a cable as shown in the attached picture.
a) Calculate the tension in the cable
b) Determine the reaction forces acting on the beam by the...
Greetings. I thought about how/ why light propagates slower trough matter than vacuum. Generally it is excepted that it happens because photons are absorbed and then emitted by the atoms and it kinda makes sense. But I see other possibilities.
I propose and experiment:
How about shining...
Homework Statement
I want to convert 110.0 x 10^6 N/m^2 to Newtons. How do I do this?
Reason: I have the following problem and the following question to answer:
P: A heavy mass is supported by a beam-cable system as shown in the figure. The beam is 5.000 m long with a mass of 36.00 kg. The...
Hello!
I'm trying to model my truss with FEM using only beam elements in ANSYS, but I am experiencing difficulties with the constraints between the members (or coupling of the DOFs).
For instance, I want my truss chords to be continuous and my lattice members to be pinned to them. I couple...
Homework Statement
Homework Equations
r=mv/qb
mv=sqrt(2*KE*m(alpha))
m(alpha)=6.64e-27 kg
The Attempt at a Solution
i was just wondering how to get the answer (7.6e-4 m). i get path curving down, and do
r=sqrt(2*1e3eV*6.64e-27kg*1.6e-19J/eV)/(q*B)
=15.18e-4m
so to get the...
Homework Statement
In an experiment a laser beam is focussed on a sample by a lens. The sample has micro structures spatially separated by 5 microns. In the experiment, each micro-structure has to be studied individually using the laser, so that illumination of two or more adjacent...
342) a beam of 62, 50.m passes horizontally by 1 street 32 m wide to other street perpendlcular which is the width of the second street
?.
Answer 13.5 m
the omly thing is since the 2 streets are perpendicular Si2-s2 =62,50
Homework Statement
A 20 kg uniform beam 10m long is attached to a wall with a cable.
The cable is attached to the middle of the beam at 90º
to the beam. A box of mass 50 kg is suspended from the beam as shown.
Determine the tension in the cable.
Determine the force acting on the hinge at...
Hi. Does anyone have the x and y displacement formulas for a fixed cantilever beam of a given depth and length, under a UDL (uniform distributed load)? I can't find them anywhere!
“A tractor beam reels in objects with sound”
“A newly constructed device generates a beam of concentrated sound that, for the first time, exerts a continuous, perceptible tug on objects large enough to see.”
https://www.sciencenews.org/article/tractor-beam-reels-objects-sound
Problem: A uniform beam of length 4 m and mass 10 kg, connected to the side of a building by a pivot hinge, supports a 20-kg light fixture,as shown in figure 4.43. Determine the tension in the wire and the components of the reaction force at the pivot.
Equations: sum of forces =0
Sum of...
Homework Statement
A beam of mass m and length L with a moment of inertia (mL^2)/12 carries additional masses of m/2 at one end and at its centre. The moment of inertia about its centre is now...
(a) - (5/24)mL^2
(b) - 0
(c) - (1/12)mL^2
(d) - (1/3)mL^2
(e) - (17/96)L^2
Homework...
Homework Statement
Homework Equations
The moment and shear flow equations
Solved with Matlab
The Attempt at a Solution
I am getting real close to the answer but something is off and I can't figure it out.
The full code (Matlab)
deg = pi/180;
G = 4.e6...
Hi,
I am doing research on sound radiation of a plate due to bending waves. I have come across the Kirchhoff Plate theory, Euler beam theory and also the equations for the phase velocity of longitudinal, transverse shear and bending waves. What i am confused about is how these theories and...
What happens when a electron travels through the plasma?
Would it be likely that most of the electrons hit a nuclei or not?
Would a beam of electrons work like a current through the plasma?
Can you send electron beams with different voltage, and would it matter? In a hot plasma it's...
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,
I am reading about how a radio station may "null fill" to direct RF radiation downward from the broadcast antenna; without this the area where the antenna is located would not receive a good signal, if any. Does anyone know what limits apply to this? If someone...
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...
I was wondering how you would derive the moment and elastic curve equations for an incomplete triangular load. Say you have a pin at the left end of the beam and a roller at L/2 from the left, and a triangular load that goes from the pin and ends at the roller. I know you have to do some kind of...
Homework Statement
Draw the shear diagram for the compound supported beam.
Homework Equations
Statics... so sum of moments at any point or forces in any direction are 0
The Attempt at a Solution
I summed the forces in the y direction, as well as the moments at A and moments at B...
I am trying to figure out the deflection in a fully restrained beam. A diagram of the beam can be found here on this website.
http://civilengineer.webinfolist.com/fb/fbcalcu.php
I have been able to find the reactionary forces as well as the moments at each end of the beam for any distributed...
Homework Statement
Problem: For the beam according to the image, solve graphical and analytical:
1.) Reactions in the supports,
2.) Bending moment diagram,
3.) Maximum bending moment
Given variables:
F = 14 kN
q = 40 N/cm
a = 100 cm
b = 55 cm
l = 180 cm
Homework Equations
This is a Beam...
what are the dimensions of rectangular beam of volume maximum that can be cut from a trunk in diameter "D" and length "L", assuming that the trunk has the shaped of a straight circular cylinder shape?
Answer Width =lenght
1. Deriving frequency in a beam equation, E=Young's Modulus, I = Moment of Inertia, m=mass, L=length, f=frequency.
2. Deriving this equation: (∏/2)√(EI/mL3)
3.(EI(∂4y/∂x4 = -m(∂2y/∂x2) ≈ EI(∂4y/∂x4+ m(∂2y/∂x2 = 0
Don't know where to go from here...
If I have a composite beam or an T beam where the top of the T is of significantly higher stiffness than the vertical part.
is it true that the further a stiffness material is from the neutral axis the greater the effect on the overall stiffness is? is it possible to calculate a new flexural...
1. Homework Statement
A person with mass m1 = 61 kg stands at the left end of a uniform beam with mass m2 = 104 kg and a length L = 2.7 m. Another person with mass m3 = 68 kg stands on the far right end of the beam and holds a medicine ball with mass m4 = 8 kg (assume that the medicine ball is...
If a neutrino beam passes through an optics lens in principle does the matter in the lens focus the neutrino beam granted it may be ridiculously small amount? If the lens were instead made of compressed matter of nuclear densities would the answer change much?
Thanks for any help!
Hi there! I have a couple of questions for you guys about Spatial Light Modulators and laser beam profile aberrations.
In the laboratory where I work we have a setup with which we can create a Bose-Einstein condensate and do all kinds of funky stuff with it. We have (as far as we know) the...
Homework Statement
Write a Matlab function to plot the displacement of a cantilevered beam under a point load. Annotate the figure’s axes and title the figure. In addition to creating the plot, the function should report (in the figure’s title!) the maximum deflection and angle between the...
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...
Homework Statement
Find the deflection at x=L/4 and x=L/2 for the beam
Homework Equations
See attached pic.
The Attempt at a Solution
So I have the solution derived in class. Only 0<x<L/2 is derived because since the load on the beam is at L/2, the equation is valid for the...
Homework Statement
A beam of positively charged particles with radius ##R## (current ##I##) is shot from a region of potential ##-V## through a potential difference of ##+V## to a grounded plate. The beam passes through a slit on this plate then passes through another region of length ##L##...
I just started my Mechanisms and dynamics class today for engineering. We already got the first assignment that's due in a day or so. The assignment consists of only 3 questions but first one is totally confusing me and I don't know what to do about it. I emailed the instructor 10 hours ago and...
In an article I am reading gold wires a fabricated on top of a substrate using electron beam litography.
How exactly does a procedure like this work? Electron beam litography uses a beam of electrons to pattern a substrate. What exactly does this pattern consist of and how can it be used to...
I realize that there are two factors that must affect the directivity of a laser. 1, The length of the cavity and number of reflections and 2. The aperture of the exit or the subsequent optics.
This must be related somewhat to the respective directivities of Endfire and Broadside RF...
Homework Statement
Homogeneous beam shaped in letter L is suspended on two ropes of the same length l.
The beam is of negligible thickness and its longer arm is three times longer than the shorter arm. Its overall length is l as well as the length of one rope. Look at each situation in the...
Homework Statement
Draw the shear and moment diagram for the beam
Homework Equations
∑Fy=0 ∑M=0; ΔV=∫w(x)dx ΔM=∫V dx
The Attempt at a Solution I am firstly finding the external forces as any statics problem(Ay=13.5kN upwards, By=13.5kN upwards).Then I found the equations of the...
Hi,
I just have some questions regarding the use of beam displacers, the below picture pretty neatly summarises what they do:
http://www.fiberoptics4sale.com/Merchant2/graphics/00000001/What-is-Optical-Circulator-and-its-Appli_F29F/image_8.png
My question is, what happens when polarised...
Homogeneous beam shaped in letter L is suspended on two ropes of the same length l.
The beam is of negligible thickness and its longer arm is three times longer than the shorter arm. Its overall length is l as well as the length of one rope. Look at each situation in the figures. How can I...
I am struggling to remember how to determine the allowable delta max for a beam.
I am currently modeling the bending forces upon a piece of square tubing, and though developing delta max seems rather straight forward, I can not seem to remeber how to determine just how much deflection I am...
I am struggling to remember how to determine the allowable delta max for a beam.
I am currently modeling the bending forces upon a piece of square tubing, and though developing delta max seems rather straight forward, I can not seem to remeber how to determine just how much deflection I am...
Lets say we have a beam which is simply supported at the two extreme ends(support conditions don't matter in my question). A concentrated transverse load is applied at the halfway point. Now let's say we take a section at x= L/3 where is L the length of the beam. Now we know that transverse...
Hello everybody.
I am going to propose an experiment with a proton beam at CERN for a contest. http://home.web.cern.ch/students-educators/spotlight/2013/competition-beam-line-schools.
Also...
Homework Statement
I want to know the section modulus for a beam which has a UDL of 13.5 kn/m across 10 metres. Its simply supported at both ends. max allowable stress = 255 MPa
Homework Equations
Z= M / max allowable stress [cm^3]
The Attempt at a Solution
max bending...
I'm working on a problem but I've hit a road block..
Then the cross section of the piece is here:
The first part of the problem is to determine Iy, Iz, and Iyz of the member.. I found the y value of the centroid to be 2.8587" and the z value of the centroid to be 1.0734" using the...
Homework Statement
Hollow circular beam with outside diameter 350mm, and wall thickness of 60mm
E=60 Gpa
beam length 2m
Force applied to beam at midpoint of beam (1m from each end)
F=200KN
Force applie from the Top down, Ra , and rb from bottom up
Homework Equations...