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.
Homework Statement
A uniform beam with mass M = 156 kg and length L = 2.3 m slides broadside down along the ice at a speed of v0 = 9 m/s. A man of mass 88 kg, who is initially at rest grabs one end of the beam as it goes past and hangs on as the beam and man go spinning down the ice.
Note...
Homework Statement
Two vertical forces are applied to a beam of the cross section shown. Determine the maximum tensile and compressive stresses in portion BC of the beam
I have attached an image of the question
Homework Equations
σ = P/A +/- My/Ix
Ix = Ix + Ad2 ---> parallel axis theorem...
Homework Statement
I am attempting to calculate the shear force Vx, and bending moment Mx within the interval C - D of this beam.
Homework Equations
ƩFy = 0
ƩMx = 0
The Attempt at a Solution
I have calculated the support reactions to be RA = 5kN and RB = 55kN
ƩFy = 0...
Hi,
When we find out the deflection of beam, the factors considered are its geometry (moment of inertia) and young's modulus (E) of the material. As per text Hook's law 'E' is constant only till the elastic limit of the material. Assuming that the stress induced crosses the elastic limit, 'E'...
Homework Statement
Hi all,
I have a HW question which is about a simple beam the beam carries a uniform load across its whole length and has two concentrated loads. The beam looks something like this:
O____________I____________________I_________________X...
This problem is making me want to tear my hair off.
I am trying to calculate the time it takes for a beam to fall to the ground.
http://myweb.lmu.edu/gvarieschi/chimney/Graph1.JPG
It would be great if I could calculate the rate of change of angular acceleration, as the acceleration would...
Homework Statement
For the same lab as I posted previously, I have been asked to prove a situation. I think I'm either over thinking it or it really is that complicated.
I've been asked to prove why the bending moment is constant across an end loaded beam (inbetween the knife edges - the two...
Homework Statement
Trying to calculate the support reactions here. Homework Equations
ƩFy = 0
ƩMA = 0The Attempt at a Solution
Well I've come up with the first equation (I assume two are needed to solve for both support reactions from the above equations).
ƩFy = 0
RA + RB (up) = 10kN +...
Homework Statement
A natural lithium target 3.8 mg cm-2
thick is bombarded with a
125 µA beam of 3.5 MeV protons initiating a 7Li(p,n) reaction.
Assuming a reaction cross section of 300 mb, calculate the
activity produced by a 15 minute bombardment.
Homework Equations...
I am designing a roof which is 5 metres wide and 10 metres long. the total weight it has to support is 20,000 kg.
there will be two I beams spanning the 5 metre width, each i beam is 3.33m apart.
what dimensions should i use for my i beam?
any help would be massively appreciated, is...
Hello,
I have a system that consists of a clamped-clamped beam with a residual stress and am trying to find an equation that governs its deflection due to a point force that takes stress into consideration. A formula I have come across:
d = (F*L^3)/(192*E*I)
does not accurately model the...
Homework Statement
I´ll show it with a picture:
Homework Equations
Static equilibrium, Sum Forces=0 ; Sum Moments= 0
The Attempt at a Solution
With the Fx, and Fy equations I can calculate the reactions Rx and Ry but I don´t understand the moments equation:
Sum M around...
Hi,
I'm trying to calculate the maximum bending stress in a beam with a varying cross section. I found a great resource (link below) that gives examples on how to do this but am a little confused. Basically the equation used is σ=M/Sx I know what σ and M are, but I haven't a clue what Sx is...
Homework Statement
Require various values from cantilever beam analysis including
Bending moment
K stiffness
2nd moment of inertia
Max stress
Homework Equations
Shown belowThe Attempt at a Solution
Here is my attempt at this question but I am unsure about units and therefore my answers?Bending...
Homework Statement
I have this question. I need to know the diformation in P direction. Here is the question
I use the symmetry and finally with a 1/4 modell I get the following:
which is correct according to the instruction. K is the stiffness of the spring. which with symmetry becomes...
I have tried to complete the following question by taking moments about point A, but to no avail. Could anybody help me with where i am going wrong. Do I need to include perpendicular distance?
The I-beam A-B shown below is supported by a cable at B and a pin at A. The cable is inclined at an...
Calculate forces on beam with "hook"
I have a beam which looks roughly like the attached file. The aim is to calculate forces in A and B. Would I have to look at AB and CDE independently, or could I proceed as "usual" by calculating the moment in A and proceed with forces calculation in x and y...
Homework Statement
Consider what happens as a parallel beam of non-relativistic electrons with beam radius a is injected as a current I into a region of vacuum after acceleration through a voltage difference V. If the radial profile of the beam can be described as
p=p0 cos(\frac{\pi...
Homework Statement
This isn't homework, but I thought I would post it here as maybe more people would see it, and as I am not an engineer, it requires someone with more experience. The section is effectively an I beam with a hollow u shaped fitting along the top (see my rough sketch). I just...
Homework Statement
A beam ABC is fixed in point A. There is an evenly distributed load q working on top of the beam. In addition there is a diagonal load F working at point C.
Calculate force Ax, Ay and the reaction couple MA.
The Attempt at a Solution
Please see attached file...
Hi, first time poster, sorry if this is in the wrong area or has already been asked. I'm looking at a situation like this: except that instead of being lifted via hydraulics, a crane will be attached to one end. The other end will be attached to a concrete slab via a flange, so that it does not...
I was wondering if someone could have a look at my calculations. I believe I'm on the right track but I keep getting wrong answers, but I might be mixing + and - somewhere. I'm also a little unsure about the right way to incorporate the force working on top of the beam.
The task reads: A...
If you have a beam with a force q evenly distributed on top of it, would this
ƩMA= 0 B*3,3-Cy*5,5-q*4,3*2,15=0
or this
ƩMA=0 B*3,3-Cy*5,5-q*4,3*2,15*3,35=0
be the right way to set up the moment point calculations? Basically what I'm unsure of is if I must incorporate the distance...
https://skydrive.live.com/redir?resid=22F7BBABD7DEE83B!136&authkey=!AP6uQQ9mR04UuAE
Can anyone please help.
I have calculated the area and Neutral Axis about xx and yy of a C section beam which I know is correct (see above link)
I'm have difficultly calculating the 2nd moment of area...
Homework Statement
Find reaction for given. one beam 15 ft long supported at end (R1) and supported 5foot in from the ohter end (R2). 2000 lbs load is location at the very end on the beam 5foot from r2
Homework Equations
how do I determian the reactions? I know how to draw the shear...
Determine the shear-force and bending-moment equations for the beam. Then sketch the
diagrams using the aforementioned equations if necessary to ascertain key points in the
diagrams, such as the position between the supports where V=0. What is the bending
moment there?
The following is the...
Hi,
I am new to this type of material and am hoping that someone may be able to assist me.
In short I am putting a cantilever beam under test to determine its bending moment and stiffness (K value) in order to get a strain reading that can be related to an exact model in solid works.
The...
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...
I'm trying to model a Euler-Bernoulli beam to gather the total angular torque it will provide on a hub on which it is anchored. The beam is a cantilever, and I'm using the standard deflection equations which represent behavior to an applied force on the tip.
You can solve for the force needed...
Hello all, I am trying to understand what the relationship is between the length or height h of a guitar neck and how far in the x direction it is displaced (δ) given the same tension in the strings and width of the neck, and assuming the neck is anchored and rigid at the guitar's body. Is it...
Here is the original question, i know the first answer as 182mm
A square section cantilever beam, 3 m in length, carries a concentrated load of 10 kN at its free end. If the maximum bending stress is not to exceed 30 MPa determine the minimum dimensions of the section.
Ans 182mm,
What...
Homework Statement
see attachment
Homework Equations
The Attempt at a Solution
I think #1 is to find the bending moment equation, then use the principle of virtual work. I have no idea how to find the bending moment equation and which principle of virtual work to use. Any...
Homework Statement
My Question paper is listed under attachement Question 2
Homework Equations
M/I = σ/y
The Attempt at a Solution
My attempt at the solution is as per Q 2 attachment.
What I am looking for is to see if I am on the right track. I'm worried that the units seem...
Homework Statement
A uniform 250 kg beam is supported by a cable connected to the ceiling, as shown in the figure. The lower end of the beam rests on a rough, horizontal floor. What is the magnitude of the tension in this cable?
Image of the problem...
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...
Hallo guy,
I hope its not asking too much, but i really need help with this, Urgently.
I have a cantilever, with point load P=100 at the end tip.
A spring(K=500) attached to the cantilever perpendicularly at UNKNOWN position.
I KNOW the deflection at the end tip. and the rest of the...
Homework Statement
Imagine a rubber beam. One en is fixed and the other is pulled down 5cm and released. The beam wobbles until it comes to rest.
Independent (what I change): length of rubber beam
Dependent (what I measure): time to come to rest
Controlled (what stays the same)...
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...
Hi
For a cantilever beam with a load at its end,
flexural rigidity is:
EI = m*g*L3 / 3Y
Where m=mass, g=gravity, L=length of beam and Y=deflection
the natural frequency is
f = 1/(2∏) * √ ( 3EI/mL3)
Plugging in EI to the formula for f reveals that f depends only on the...
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...
if you look at the attached photo.
we have 2 beams, 1) is shorter, 2) is longer. cross-sectional area is the same. same force is applied X cm from the fixed end.
what is the max stress in each case? why are they the same ( and why not)?
Take gravity out of the equation.
FEA shows...
I have a design where a beam gets welded to a plate. The plate is not against a wall or foundation, but for simplicity I can say that the edges of the plate are fixed. I am concerned about the stress in the plate, and the deflection in the beam. I have access to solidworks simulation, but I want...
Homework Statement
The scattering amplidtude, F, of a, by a crystal, diffracted beam is defined to be:
(1) F=\sum{_\vec{G}}\int n_{\vec{G}}e^{i(\vec{G}-\delta\vec{k})\cdot \vec{r}}\mathrm{d}V
The integral is over all the volumeelements, dV, of the crystal.
n_{\vec{G}} is the local...
1. A Nd:YAG laser operates at a wavelength of 1064 nm and is used for frequency doubling in the non-linear material LiNbO3.
The laser outputs 1 W of power in a TEM00 mode with a beam waist ω0 = 1.0 mm on the output mirror.
A lens of focal length of 50 mm is placed immediately outside the...
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 =...
Homework Statement
If the distributed force is removed from the beam in the picture attached and not considered, calculate the deflection at point D.
Homework Equations
Double integration for deflection [V]
The Attempt at a Solution
Moment = Ra*x-P(x-3*L) =
Slope =...
I would like to calculate the power of a beam of light once I know the electric field amplitude. For example if I know the amplitude along a line from -1 meter to +1 meter every 0.5 m is [1, 2, 2.5, 2, 1 V/m], how can I find the power from this is? Is there enough info? (it's in vacuum/air)...
Homework Statement
Just took my finals and there was one problem that bugged me, I have done these types of problems multiple times and understand it well but this particular problem seems like there isn't enough information.
There is a massless beam being held against a wall by a massless...
The title is fairly misleading but is within the subject.
I have drawn up a beam of my own as part of my classwork because what bothers me is how you would find Young's Modulus [E] and the second moment of inertia [I] without being given them.
Every question I have looked at has given me...
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...