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
How could I calculate the piecewise formula for M(x)?
Homework Equations
The Attempt at a Solution
From constructing a free body diagram it looks like up until the pin support, M(x) = -Fy*x (Fy being the force pointing upwards at the wall) but I am confused...
Homework Statement
A thin, uniform, 3.8kg bar, 80cm long has two 2.5 kg balls glued on at either end. It is supported horizontally by a thin, horizontal, frictionless axle passing through its centers and perpendicular to the bar. Suddenly the right hand ball becomes detached and falls off, but...
Alright, I took a while setting this problem up for you guys, because I am absolutely stumped and have hit a brick wall and have nowhere else to turn for assistance. Please excuse the shoddy diagram. I made it from scratch to try to illustrate the problem better.
Homework Statement
Find the...
Homework Statement
An element is taken from the wall end of the cantilever beam that is loaded as per the diagram. What are the stress components of the element, taken at x=0, y=h/2, z=0
Homework Equations
σ=My/IThe Attempt at a Solution
So from the shear moment diagram, the moment and shear...
Homework Statement
I'm supposed to solve for the maximum moment assuming the beam bends about the y-axis (not the z axis as shown in the image. Same image for different questions). I don't understand how to find the moment of inertia in this case. The solution gives the moment of inertia for...
Homework Statement
Two identical, uniform beams weighing 260 N each are connected at one end by a frictionless hinge. A light horizontal crossbar attached at the midpoints of the beams maintains an angle of 53.0 ∘ between the beams. The beams are suspended from the ceiling by vertical wires...
Hello all, I am confused on how to calculate the maximum bending stress in an I-beam.
I found the maximum deflection in each beam where the load is placed at the center of the span.
I also know all the cross-sectional dimensions of the I-beam.
Is it now possible to calculate it?
Thanks
Hi guys, why does the following mean B is unitary?
if we have two rotations such that;
b1 = B11a1 + B12a2
b2 = B21a1 + B22a2
and the following commutator results are;
[b1, b1(dagger)] = |B11|^2 + |B12|^2 --> 1
[b2, b2(dagger)] = |B21|^2 + |B22|^2 --> 1
[b1, b2(dagger)] =...
For this problem, I think that something is wrong with my moment equation, I am not sue how to find the loading as a function of x for this triangle shape.
Do I need to account for the sections 0 < x < L/2 and L/2 < x < L??
Hi,
I want to write a very simple code to plot the beam emittance knowing x,y,z and vx,vy,vz of each particle.
I have generated with a tracking code a very simple beam (cone distribution with 1° divergence) and I want to compare the emittance of this beam with the one calculated by a...
Homework Statement
A. determine the deflection at point A in the X and Y direction.
B. determine the maximum normal stress in the beam
C. determine the maximum shear stress in the beam
Homework Equations
δ=(PL/EA)
(possibly?) δt=αΔτL
d2v/dx2 = M/EI
dM/dx = V
δab=δx*cosθ +...
Homework Statement
In cross-section, the beam you are working on is a gantry girder.The maximum bending stress in the girder must not exceed 25MN/m2 and the modulus of elasticity can be assumed to be 210GN/m2.
Determine a suitable size for the beam, selected from the standard sections tables...
I am always wondering, when we are analysing beam structure where many externally applied moments are added on, why we can sum up all the externally applied moments and write equilibrium equations according to that. Because these moments are actually along different axes. Is it because in...
Homework Statement
In the model of “Empty Universe” consider a galaxy X, which starts emitting light at time t = tH/1000 (14 My). If, at that time, the proper distance between “X” and our galaxy was 10 Mly at what time the first light from “X” is expected to arrive to our galaxy?
I posted...
Homework Statement 3. In the model of “Empty Universe” consider a galaxy X, which starts emitting light at time t = tH/1000 (14 My). If, at that time, the proper distance between “X” and our galaxy was 10 Mly at what time the first light from “X” is expected to arrive to our galaxy...
1. Homework Statement
2200kg beam is sitting on two rollers spaced 2m apart. rollers weigh 1200kg and have radius of .35m. the block is pulled to the right with 4000N. there is no slippage. find the acceleration of the system (answer given is one of the rollers).
2. Homework Equations
I...
We work on optical simulation where we use not ideal beam expander.
Not ideal means that for beam expander designed for single mode (M^2=1), the output beam has M^2 >1 (M^2 = M squared)
In our system we want to use beam expander with multimode laser beam.
The beam expander is not ideal (for...
Homework Statement
I am trying to find the minimum energy for a proton beam to make pions that have 100Gev of momentum. The proton beam is hitting a fixed target.
Homework Equations
p + n -> n + n + ##π^{+}##
The Attempt at a Solution
In the centre of mass frame, there is zero...
Homework Statement
A person with mass m1 = 50 kg stands at the left end of a uniform beam with mass m2 = 95 kg and a length L = 2.4 m. Another person with mass m3 = 60 kg stands on the far right end of the beam and holds a medicine ball with mass m4 = 14 kg (assume that the medicine ball is at...
Please find the attached picture. It clearly explains the problem
What is the method to find the size of the knee braced beam member?
Do we have to to draw free body diagram for each point and then find out the force acting on the cross member-then see if that beam's cross section area can...
Homework Statement
A man of mass mm = 95 kg decides to paint his house. To do this, he builds a platform using a uniform beam with a mass of mb = 100 kg and a length of L = 7 meters. The beam is supported by two sawhorses, as shown in the diagram above.
a)
If the man stands over the support...
Hi i am new to the forum and hopefully i can get some help.
I am trying to design a small parabolic light reflector that can be used with an LED array as being the source of light. The diameter of the LED array is 18.75mm. I am trying to obtain equations that would relate the diameter and...
Hi all, I am trying to find the slope of a T-stub joint at the bolt in order to find the bending stress of the bolt.
I have drawn 1/2 of the T-stub as a beam. The beam analysis requires (for physicality) that the slope at each side of the beam to be zero. There is an applied load, a bolt...
Homework Statement
Well actually we were doing a beam experiment in class. It consisted of varying the position of a load and measuring the reactions to eventually analyse the relationship between the distance of load from 1 support with the 2 reactions.
The reactions were provided by two...
I'm mostly concerned with whether or not I understand this problem intuitively in order to answer the final part of this problem.
Homework Statement
Discuss the implications of Liouville's theorem on the focusing of beams of charged particles by considering the following case. An electron...
Homework Statement
A beam of parallel light rays from a laser is incident on a solid transparent sphere of index of refraction n1 (see figure). (a) If a point image is produced at the back of the sphere, what is the index of refraction of the sphere? (b)What index of refraction, if any, will...
Homework Statement
How do I find an expression for the deflection at midspan for a cantilever beam loaded with a uniformly distributed load?
Illustration of beam: http://goo.gl/3SxeVZ
Homework Equations
\delta = \frac{Qx^2}{24EI}(6L^2-4Lx+x^2)
The Attempt at a Solution
Attempt at...
Homework Statement
An optical fiber consists of a glass core (index of refraction n1) surrounded by a coating (index of refration n2<n1). Suppose a beam of light enters the fiber from air at an angle θ with the fiber axis as shown in attached. (a) Show that the greatest possible value of θ...
Homework Statement
The bar 1 in the figure has a cross-sectional area of 0.75 in^2. If the stress in this bar must be
limited to 30 ksi (30,000 psi) determine the maximum load that P that can be supported by
the structure.
Homework Equations
σ = F/A
τ = Fd
The Attempt at a...
Homework Statement
I need to know the correct equations for a pinned-pinned beam and a fixed-fixed beam with 3 point loads(450N, 0.3 from the left,450 0.7 from left and 450 1.1 from the left, the beam is 1.4m long, with maximum deflection and bending stresses
But I have to use the second...
Homework Statement
How do I find an expression for the deflection at midspan of this beam? The beam is simply supported and there is two triangular loads on each side of the beam.
Illustration of problem: http://goo.gl/gk68Fl
Homework Equations
Deflection = \Delta = \int \frac{Mx*mx}{EI}...
Homework Statement
Suppose you have a beam with a transverse load P pointing down in the center, directly over the middle "spring". This beam is supported by 9 uniformly distributed springs of constant k. Compute the loads of the springs.Homework Equations
You know that the problem is...
Hello everybody.
I have a question about generation of return current in plasma beam interaction process:
we enter an electron beam in a plasma medium, and this electron beam generate a return current in plasma, I want to know how electron current can produce a return current in plasma...
1.
How do I find an expression for the reaction force (Xc) in C? The beam is fixed in A and there is a roller connection in C. The roller connection is placed at the center of the beam. Length of beam is L. The beam is loaded with a triangular load from A to B (Q kN per meter).
Illustration...
Homework Statement
Hi. Question 1-5 from http://www.slideshare.net/hotman1991/met-302-chapter-01 has me puzzled. In the support reactions in Fy, they state By + 3.00 - 9.00 = 0. I do not understand why the 3 is positive.
Homework Equations
The Attempt at a Solution
When doing...
Homework Statement
The sample question explains how I can use superposition to determine the slope and deflection of the beam. I have made a picture of the page. I know how to use the method as I've used it on other, much difficult problems. However, this sample problem has been stuck in my...
How do I find deflection (displacement) in point C at the end of the beam? Answer is to be given in mm. There is a roller connection (only Fy) in B and an external pin in A (Fy and Fx). The module of elasticity and area moment of inertia is given.
Relevant equations:
1...
How do I find deflection (displacement) in point C at the end of the beam? Answer is to be given in mm. There is a roller connection (only Fy) in B and an external pin in A (Fy and Fx).
Greeting PFers,
I need to use the low pressure region inherent within the cross section of a laser beam for a project. However, I don't know how to calculate the necessary laser power to generate a sufficiently low pressure.
The topic is briefly dicussed *here*, but I see no relevant...
Homework Statement
transverse loads are applied to the beam in the figure at A, C, and E, and a concentrated couple 3Pa is applied to the beam at E. Determine expressions for (a) the transverse shear force Vc and bending moment Mc at a section just to the left of the load at C, and (b) shear...
esign a cantilever beam of minimum weight (volume) consisting of
three steps that meets condition of strength. Given parameters are: total length of the beam
L, force F at the end of the beam, and allowable stresses [sigma].
Parametres to be determined:
Beam Diameters d1 d2 d3
Length x1...
Homework Statement
Knowing the distance d=1.5m, determine the resultant of the loads acting on the beam shown in the attachment. Specify the point of application of this resultant on the beam.
Given data: F1=100KN, l1=1m. F2=50kN,l2=1.5m. F3=60KN, l3=4m.
Variables: Resultant Force R, and its...
How do you calculate Stress of a curved beam??
Hi there, I'm new here so I got a project to make a windscreen on solidworks and analysis using FEA no problem :)
However I'm also asked to analysis stress on the windscreen experienced by the air resistance manually, I have worked out the air...
Hello all,
I've got an optics problem that I'm having some difficulty with, where I want to send a beam through a converging lens to obtain a certain image size. My incident profile is that of a ring with a certain thickness and use I use this as my object. I want an image of a certain size, so...
hello every body
Can anyone help me for searching about this topic,
How to generate electron beam?
I want few information about electron source, in a simple explanation,
and namely, not complete explanation .
please help me.
thanks.
If we have a beam splitter, and we fire two photons from either side towards it (both meeting and interfering at the same time):
If the state of the photon coming in from the left is |45>, and the one coming in from the right is -|45>, would the output be:
-i|45>(l)|45>(l) -...
Hey guys,
I'm just pondering a beam problem fir a structure that I'm analysing. It appears statically indeterminate to me? The beam is bolted to a support at locations A,B & C. There are two point loads between span B-C.
There are no symmetrical distances or support locations etc.
Initially...
Homework Statement
The problem is regarding the question on the attached file called 'QUESTION3.png' This is urgent so please reply if you can.
Homework Equations
The attempt is in the file attached. Is my procedure correct? Am I missing something or is something wrong?
Also, how do...
I have a 1.5m beam with a uniformly distributed load of 57kn/m acting over 1.2m of the beam (0.6m from the centre of the beam in both directions). I require the maximum moment and the deflection of the beam.
I know the maximum moment equation wl^2/8 and the deflection formula 5wl^4/384EI...