Beam Definition and 1000 Threads

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...

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...

1.How do i derive the stiffness matrix for a beam with nodal linkage? ie the shear force at the first node is 0 but the usual shear and moment resistance is present for the second node. I thouth about solving the problem by just putting the first row of the stiffness matrix as 0 . Am i...

Homework Statement Need to know the bearing load for a linear slide I'm working on, two spaced bearings with an extended load off the end of the slide. Homework Equations What equation do I need to apply? What examples are out there? The Attempt at a Solution

Homework Statement Reproduce the diagram of the beam shown in Figure, and indicate where you would add conceptual pins to convert this to a corresponding determinate beam to allow approximate analysis of the beam. Using approximate analysis, draw a neat and labelled Bending Moment...

Im having difficulty figuring this question as their are not enough notes or guides on longitudinal shear on bolts. Shear flow(q/s) = VQ/I Yc = 100 I = 3.65 X 10^8 MM^4 Q = Ax Y' Q = 150 X 25 X 87.5 = 3281250 As analysing shear in the longitudinal which means taken consideration of...

Homework Statement A beam is built in at its end supports A and B, and is subject to a mid-span point load F. Using the method of successive integration, determine an expression for the deflection of this beam. Calculate the maximum deflection. Ignore any axial load effects. Homework...

Dear all I need collimating light from a Xe arc source. More in details, the white light source is coupled to a monochromator. In fact I need a circular collimate light beam from the monochromator with a diameter of 1-2 mm. At the moment I am using a (rectangular) slit in the monochromator...

Hi Please help me to know : if i have a laser beam with 5 millimeter diameter that reduced to 0.5 millimeter diameter with a lens, Can i reduced the 0.5 millimeter diameter beam to 0.05 or less that 0.5 with another the same lens...

Homework Statement A beam carries a uniformly distributed load, including its own weight, of 8 kN/m over its full length of 6 m. A point load of 300 kN is placed 2 metres from the one end of the beam which is simply supported. Calculate the maximum moment of resistance for the beam if it...

Homework Statement FIND MAXIMUM DEFLECTION AND ITS LOCATION (PLEASE SEE THE FIGURE)... THANKS Homework Equations The Attempt at a Solution

Homework Statement A parallel beam of neutrons with speed 200m/s is incident on an absorbing sheet with a slit of width 0.01mm. Calculate the width of the beam 10m behind the slit. Hint The slit localizes the neutrons transversely (y) to their propagation direction x. The resulting ΔPy gives...

Homework Statement Homework Equations ƩFx=0 ƩFy=0 ƩM=0 The Attempt at a Solution FBD of the entire thing: ƩMB = 780(0.3) + (5/13)T*(0.72) - (12/13)T*(0.6) = 0 T = 845N ƩFx = Bx + (5/13)*845 = 0 Bx = 325N ← ƩFy = By + (12/13)*845 = 0 By = 780N ↓ Now here is where I...

A rather simple question. A confinement of positively charged ions , a tube from the confinement and in the end of the tube a metal plate at a negative potential , if the charged ions are let to run towards the negative metal plate (which they would normally do) the plate would loose it's...

Im having difficulties performing stress analysis on a component i designed for a project. I've ran FEA in solidworks giving me the Von Mises stress and the displacement due to the load. My supervisor has asked me to back up the fea with hand calculations but I am have a hard time. The part...

I want to know the analytical formulation for a beam or bar without crack and with crack subjected to tensile loading through mechanics approach.

Does anyone know of the drawbacks and future plans anything to look out for?

Homework Statement Okay, I am required to analyse the beam solving for all unknown reactions, both internal and external. From there, the Bending Moment Diagram and Shear Force Diagram are to be produced. Homework Equations The Attempt at a Solution So i sectioned the beam at the...

I need help comparing the deflection of pipe with two different cases. Case 1 is a regular non-tapering pipe. The case 2 is a tapered pipe that should deflect less than the straight pipe. I am working in MathCad and can change the value of my variables, so I have set the two cases to be equal...

Homework Statement In a prismatic bar (same cross sectional area throughout the entire length), the load applied to both ends is 100 N causing the member to be in tension. If the cross sectional area of the member is 5 cm2. What is the normal stress in the in kPa? Homework Equations...

Homework Statement A 30 kg neon sign is suspended by two cables, as shown. Three neighborhood cats (5.0 kg each) find the sign a comfortable place. Calculate the tension in each cable when the cats are in the positions shown...

Homework Statement In a scanning electron microscope, a 0.3 keV electron beam, collimated by an aperture of width ∆xi, is directed towards a target 1 m away from the aperture. Assuming a field-free region from aperture to target, the uncertainty ∆xf in the transverse coordinate of the...

Homework Statement Problem 10.36 The bar has cross-sectional areaAand modulus of elasticity E. If an axial force F directed toward the right is applied atC, what is the normal stress in the part of the bar to the left ofC? (Strategy: Drawthe free-body diagram of the entire bar and write the...

In the Stern Gerlach experiment it would seem that an electron beam moving at some velocity bisecting the upper magnet on a horizontal path would be radially accelerated perpendicular to the direction of motion. I am assuming from Lenz's Law this can be corrected by increasing the Bf...

Homework Statement So we have a source (OP) that emits single photons of a constant wavelength and angular frequency. The photons hit a 50-50 beam splitter, and are then reflected in the mirrors. Where is says (L) ou (SP) (yay for studying in French!) there is a beam splitter. What I...

Hi! I'm not sure this is exactly the right subforum, but here goes: Homework Statement So we have a source (OP) that emits single photons of a constant wavelength and angular frequency. The photons hit a 50-50 beam splitter, and are then reflected in the mirrors. Where is says (L)...

In the figures below is a sketch of an electron beam entering alternating static magnetic fields perpendicular to that of the motion of an electron beam. This beam is injected from a 45° angle below the x-axis. Figure 1 is a representation of this and is supposed to be an illustration of a basic...

Homework Statement Please visit my flickr link for a scanned image of the problem statement. http://www.flickr.com/photos/93763273@N05/8815418518/lightbox/ Homework Equations M/I = σ/y = E/R This is the flexure or bending formula. The Attempt at a Solution a) = 8.333 kN...

Hi, I have the following problem that I'm lost on. The answer is 41.4 rad/s2 but I don't understand how to arrive at it.Homework Equations ƩT=I(alpha) I=1/3 ML2 for a rod with axis through one end. The Attempt at a Solution I solved the above equations to get (alpha)=T/I, but no matter what...

Hi there, I have a problem regarding a simply supported C-section steel beam that I can't seem to get my head around. The beam is 6m long and supports a 15 Ton moving point load, the tensile yield strength of the steel is known and the structure must have a factor of safety of 3. The...

1)When we are asked to calculate the shear stress at AB should we consider the width as T or as 2T? 2)And when applying t=vq/it what sections should we take and is the value we found located on the bottom of the area?(I'm not talking about this beam but any beam in general) 3)And finally given...