Deflection Definition and 530 Threads

Hey all, first post! Looking to find a deflection equation for a simply supported overhanging beam with two supports and a point- load at the end of the canteliever. I can determine reactions at the supports but i am having trouble finding deflection between the supports. Any help is...

Homework Statement Part a) Deflection of the electron beam in a cathode ray tube television set has electrons accelerated until they have K.E. of 25 keV. What is the magnetic field magnitude required to deflect the electron beam 3.3 cm when the magnetic field is 8 cm long? Part b) When...

Homework Statement A 3000lb car with a wheelbase of 100 inches and track of 50 inches sits on level ground with equal weight on each wheel. The effective spring rate is 700 lb/in at each wheel. One wheel is now raised by 1 inch and the car is allowed to settle to a new equilibrium. What is the...

i was just thinking , a planet comes close to a very massive star but doesn't collide .how can i calculate the its angular deflection.? i can calculate the velocity afterwards the deflection(given the initial and final perpendicular distances of its course from center of the star) using...

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'...

Hi All! I would really appreciate your help on something that has been bothering me for the past week. I am uncertain on how to derive the deflection curve equation for a certain shaft. Loads are acting on both ends of the shaft, with the reaction forces being provided by two separate bearings...

If the sun is close to the horizon, calculate the horizontal gravitational acceleration of a rock dropped near the surface of the earth. Do the same substituting moon for sun. Calculating (vertical) g is easy and one could apply the same method to get the horizontal g if you knew the masses...

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...

What I need is a 1"x.5" rectangular tube .065" wall and 84" long steel tube that will have the least or very low deflection. I have been trying to educate myself today on the different grades of SS which would be preferable for rust resistance. If I understand things correctly 304 SS is the...

Homework Statement The 3.8-kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction is 0.51. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection x of the spring. I...

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...

Hi, This is not an homework. I'm doing a old exam question and have diffuclities. Since there is not a solution I want to get confirmed before I goes further with other similar question. I have the figure belove. The problem is here I do like this. Since I should have some bending...

Homework Statement The scientist changes the frequency of the incident X-ray to 4.50 x 10^19 Hz and measures the deflected X ray frequency of 4.32 x 10^19 Hz. What was the angle of deflection? Fi = 4.50 x 10^19 Hz Ff = 4.32 x 10^19 Hz Homework Equations Δλ = λf - λi Δλ =...

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 =...

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...

Homework Statement Hey In my assignment I am writing about beamdeflection, but there's some things i really can find out how to do. I need to explain area moment, moment of inertia and the center of gravity, i need to explain this with the help of integration. Under her I've inertet...

Homework Statement The picture of the beam below has a module of rigidity EI, determine the reactions at the supports and the equation of the deflection curve of the left half of the beam Homework Equations v*EI=((Ma*x2)/2)+((Ra*x3)/6) Ʃ of Forces in Y direction = Ra+Rb=0 Ʃ Moments...

I was wondering if there were any mechanical engineers that can answer a few questions I have regarding an assignment that I have been set. We have to choose a suitable beam to support a monorail. we are looking for a moment of deflection of around 10mm. Using the universal beams table bs 4 1993...

the beams are fixed at point X. Load P is applied at Y. How different would be the deflections at P.

Homework Statement The brake linkage for a truck is actuated by hydraulic cylinder AB. Cylinder AB, springs CD, EF, and GH are the slotted tracks are all horizontal. The slotted tracks are frictionless. If the cylinder AB exerts a tensile force of 12 kips, determine the deflection d and the...

Homework Statement The drawing shows a 152-kg crate hanging from the end of a steel bar. The length of the bar is 0.09 m, and its cross-sectional area is 3.80x10^-4 m^2. Neglect the weight of the bar itself. (a) Determine the shear stress on the bar. (b) Determine the vertical deflection...

hi, last week we did an experiment to find the deflection of simply supported beams. During the experiment, after every measurement we had to tap the frame slightly. Does anyone know why we had to do this? If you could explain it to me I would be grateful.

The deflection D of a beam of length L is $D=2x^4-5Lx^3+3L^2 x^2$ where $x$ is the distance from on end of the beam. Find the value of $x$ that yields the maximum deflection. this is from a unit on inflection points so assume this is $\frac{d^2}{dx^2}$ and also looks like an implicit...

Homework Statement A positive moment of 12000Nmm at the tip applied as two equal and opposite point loads of 1000N in the x direction at C and D. The beam is fully fixed along AB. Young's modulus E = 200*(10^3) MPa and the poisson's ratio = 0.3. Geometric Properties: Width, b=10mm...

In which direction will the pointer move when current is passed? ------->-------(|)--------->---------- [Galvanometer] Does it move to the right? AND There is another one that is connected from top to bottom: | | ^ | | | (|) [Galvanometer] | | | ^ | | | Where will the (|) move?

Homework Statement Find the maximum deflection in the beam. E=205Gpa Beam breadth = 195mm UDL on beam: 40 Bar Homework Equations I have useed the method of superposition to try and solve it. Is this the best way? It has been suggested that finding the displacement by integration would...

I am trying to show how the shock wave angle varies as I hold the deflection angle constant and increase the Mach number. I am trying to solve for Beta (shock wave angle) using the theta-beta-mach relation: tan(θ)= 2cot(β) * (M2sin2(β)-1) / (M2(1.4+cos(2β))+2) This seems like it should be...

Homework Statement The problem I am having troubles with is proving the deflection of a ray by a prism can be represented by a specific equation : θd = θ - α + arcsin(sin(α)√(n2 - sin2(α)) - sin(α)cos(α)). I have derived another form of the deflection equation for a prism and I am attempting...

The attached question shows a simply supported beam with a UDL of 30kN/m and has a rigid arm underneath with a load. This question was a research one but unfortunately I have had no luck. I thought that this could be solved by doing moments for the arm but am unsure on whether that would...

How can wave optics explain total internal reflection?

Homework Statement Calculate the deflection of an electron beam as it passes between the plates of a CRT tube. In the picture, the parallel plates create an electric field, with the positive plate on top and the negative plate on bottom, causing the electron's path to be deflected upwards as...

Hi Guys, I'm wanting to measure deflection in an injection mould tool. I'm planning on using strain gages to measure the strain in the tool under injection pressure. Is there a way I can use these strain readings to calculate the deflection in the plates? Thankyou for any help. :)

Hello, When we use slope deflection method in frames we neglect axial deformation in order to get the same delta when the frame is sway,(that what i understood) So i have two questions 1. Neglecting axial deformation means ignoring axial force??Or what?? 2. How to neglect axial...

I was just wondering if there is a simple formula for determining how much a horizontal light beam deflects in an accelerating elevator. The horizontal light beam would start at one side of the elevator and hit the other side of the elevator. In a non-accelerating elevator, the light beam would...

Deflection -- difference between pin and fixed joints Hello all I have a question regarding deflection. What is the difference between pin and fixed joint in frame l(first picture fixed the second pin), I can summarize my question in points: 1.fixed connection introduces equal theta as...

I had this as an exam question in my first Structural Analysis course, and couldn't figure it out. The frame is supported by 2 cantilevers at points A and D. The top member is perfectly rigid, that is EI=infinity. E is constant. Solve for the deflection at point B and the reactions at A and D...

Hi I came across a problem as below : 2 masses M1 and M2 are connected by a spring and kept on a frictionless table horizontally. A force F is applied to M2. What is the maximum displacement of the spring ? The acc of the COM of the system is a = F/(m1 + m2). However, each mass will...

Hi all, I'm currently designing a housing for a camera and omnidirectional mirror for a robot. The housing is connected to the robot through a rod of about 25mm diameter. ...{...}... (housing) ...|... (rod) ...(___)... (robot base) I'm trying to compute the deflection in the rod when the robot...

A Big Problem: (a) sub-problem 1: Assuming that a radio transmitter emits a radial pulse 'K' times a second, what would that frequency need to be in order to detect the doppler shift of an object traveling a 6000 m/s? (b) sub-problem 2: If one had a cathode ray source which was outputting an...

So I am trying to figure out how I can calculate the deflection and ultimate bending moment capacity of a hollow tube beam when the hollow portion is not concentric. A regular concentric tube is easy enough but this has me out of my depth. I assume that it will no longer be symetric in its...

Problem: What is the equation that relates properties of a metal (modulus of elasticity, yield strength, elongation, etc) to how far it can deflect before permanently being bent. I can calculate how far a beam will deflect under different loading and support but I just don't know what the...

I have a problem how to select the boundary condition when i answer this deflection of beam. for example: the boundary condition is [x=o,y=0],[x=l,y=0],[x=o,dy/dx=o] and [x=L,dy/dx=0] given that EIdy/dx= Ax+wx^2/2 EIy= Ax^2/2+wx^3/6 anybody can tell me how to select this?

What exactly do we mean by the angle of deflection? Is the ‘angle the velocity is turned through equivalent’? - does it tak into account the direction of the impulse , I ask because if it does, I am struggling to see how, I have attached an example where the impulse is in the direction of the...

Homework Statement Given a W21x68 beam with 1.388 kips per foot loading spanning 34 feet. The beam will carry the load but the maximum deflection is greater than wanted. We would like to put a W33x118 beam perpendicular to the centerline of the W21x68 (17 feet), to limit the deflection...

Homework Statement I would like to know how to find the horizontal and vertical deflection of point C shown in the attached diagram. I also need to find the angle of deflection for point C. Homework Equations The Attempt at a Solution I've already found a solution to this problem...

Homework Statement The deflection of the electron beam in an old-fashioned tube TV set is accomplished by magnetic forces. Each electron is accelerated through a potential difference of V=30000V. The charge to mass ratio of the electron is 175824175824.176C/kg. If there is a x2=0.1m gap...

Hello. Here joined is the schematic of a small deflection amplifier. Outputs H0 & H1 are connected to electrodes placed in a vacuum volume. These outputs are protected by varistors. High voltage to collectors is 200 V DC. Sometimes, not very often, the head Op-Amp (LM324) is burnt. The only...

I am trying to use FEA with space frame element. I know that for rotating an angle a around the z-axis, the translational displacements of the local and global coordinates are related through the rotation matrix: \begin{bmatrix}cos(a) & sin(a) & 0 \\ -sin(a) & cos(a) & 0 \\ 0 & 0 &...

Hi, I haven't done beam deflection before. My textbook shows the usual simple beams with a perpendicular force acting on it. This one is a lot more complicated. I'm pretty sure the forces acting in the horizontal direction have to be added into this some how. Can someone look at the...

Hi everyone, I am trying to find out what the deflection would be for some steel U channel cold worked from sheet. U channel would be 2.250 in. (depth) x 1.0 in. (wide) x .040 (web thickness). Case (1) Supported at both ends. Length 50 in. Load 72 lbs. evenly distributed. Case (2) Same as...