What is Bending: Definition and 665 Discussions

In applied mechanics, bending (also known as flexure) characterizes the behavior of a slender structural element subjected to an external load applied perpendicularly to a longitudinal axis of the element.
The structural element is assumed to be such that at least one of its dimensions is a small fraction, typically 1/10 or less, of the other two. When the length is considerably longer than the width and the thickness, the element is called a beam. For example, a closet rod sagging under the weight of clothes on clothes hangers is an example of a beam experiencing bending. On the other hand, a shell is a structure of any geometric form where the length and the width are of the same order of magnitude but the thickness of the structure (known as the 'wall') is considerably smaller. A large diameter, but thin-walled, short tube supported at its ends and loaded laterally is an example of a shell experiencing bending.
In the absence of a qualifier, the term bending is ambiguous because bending can occur locally in all objects. Therefore, to make the usage of the term more precise, engineers refer to a specific object such as; the bending of rods, the bending of beams, the bending of plates, the bending of shells and so on.

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  1. H

    Does an electron beam bending lose energy by photon emission

    A beam of electron in vacuum with velocity v enter a region of spa e with a electric field E. The field is such the electrons circle with radius r. The electrons are now accelerating at constant tangential speed. Because this is not an atomic orbital then by classical physics the electrons...
  2. zaakir

    Calculating Shear Force and Bending Moment

    hi all Basically I need to find the shear force and bending moment of a beam using octave. The length of the beam as well as forces and their distances are given. However the SF and BM must be calculated at every o.ooo5m. The forces can be Point Loads or Uniform Distributed Loads and there can...
  3. Jonski

    Maximum Deflection of Brass Beam: Troubleshooting Homework Solution

    Homework Statement I am trying to find the maximum deflection in a brass beam, however after taking a physical reading the theoretical answer I get is quite off and I am wondering what I am doing wrong. Homework Equations They tell us the max deflection is( Load*Length^3)/(48*E*Second Moment...
  4. M

    Stress Comparison for Simply Supported Beams for Engineers

    I have a quick question in relation to the Engineers theory of bending when applied to simply supported beams. I am using the following portion of the theory to determine the stress in a simply supported beam when subjected to bending: Stress = My/I Is it appropriate that I compare the...
  5. S

    Preferential bending loading direction of a beam

    Hi All, I'm trying to think through a problem and was hoping to ping the community for guidance. Suppose you have a beam that's symmetric about 2 axes (like a u channel or a triangular extrusion). Is it better to load the beam in compression on the side with material furthest away or should you...
  6. Aurghyadip Kundu

    Bending of Light in diffraction? Is it actually possible?

    I know light has wave particle duality, I understand these two points very well, 1. Light moves as a probability function, taking all the possible paths at once. The alternate paths cancel themselves out, resulting in a particle-like combined motion. 2. When relatively close to an edge, some...
  7. P

    Understanding Bending Moment Diagrams for Multiple Planes

    can someone explain why this problem would involve two bending moment diagrams, one for the xy plane and another for the xz plane? Also, how are the reaction forces at B and C determined each time?
  8. C

    Maximum bending Moment and Maximum Shear Stress Question

    Is the maximum bending moment and maximum shear stress an absolute value? For example, when drawing out a bending moment diagram say if I get -400 kNm at one point and 300 kNm at a different point. If these values are the maximum/minimum points on my diagram would 400 kNm be considered as a...
  9. A

    How can I get the force from the bending stress

    Hello all, I am a new member of PF.I have a basic question about the bending stress, I remember somewhere I saw this part, but can't find out it. Could you give me a answer? Given: 1, M-moment applied on the section. 2, I-Section modules 3. y-distance from shear center Solution F,how much is the...
  10. S

    How Do You Calculate Strain Energy in Beams Using Integral Equations?

    I can't work out the strain energy using the integral equation here, question (b)(i). I've got the bending moment for the first beam as 400kN. E and I are given, I'm guessing you can take '2EI' out of the integral and just integrate the M^2, is that correct?
  11. P

    How Does a Perpendicular Force Affect a Fixed Elastic Rod?

    I am studying the following phenomenon for my project: Thin horizontal elastic rod is fixed at both ends and small perpendicular force is applied at middle of the rod perpendicular to its length. I want to study this dynamics and extend it to cylindrical shell. Please suggest books/papers or...
  12. D

    Producing a shearing force diagram and bending moment curve

    Homework Statement A box shaped vessel, of ##4## compartments and ##80m## lenght, light displacement of ##800## tonnes loads ##200## tonnes in the first compartment and ##200## tonnes in the last compartment. Produce the shearing force diagram and bending moment curve. Homework Equations 3...
  13. R

    Calculating bending stress for pipes

    I'm making a robotic structure using hydraulics and pipes, and I need to choose what size pipe and thickness I will be using. I've searched online to the best of my ability but all I got were equations for I-beams. I've taken statics in college so I know how to calculate all the loads in a...
  14. R

    Accurately Bending Pipes: What Info Do You Need?

    Hi everyone, Im a draftsman that has to give a drawing for pipe bending, what information is needed so the pipe can be bent accurately? Thanks
  15. D

    Shear force and bending moment diagrams question

    Homework Statement In the image uploaded below, a boxed shaped object is shown. It is floating in water so the forces that act on it are buoyancy and gravity. The first and the last compartments are filled with evenly distributed weight. The middle 2 compartments are empty. Specifics are...
  16. S

    Bending strength of timber and modulus of elasticity.

    I am constructing a glutamine beam as part of a project and need to estimate the load at which the beam fails in bending and the load that will give deflection of length/200. I have been allowed to do a none destructive test on each piece of timber to be used in my beam. This has given me a...
  17. R

    Bending and Shear Forces Homework Solutions

    Homework Statement Homework EquationsThe Attempt at a Solution
  18. HorseRidingTic

    Solving Beam Bending Qs: Find Beam Dimensions with 25 MNm^2 Stiffness

    Bonjouro! Firstly, as this is my first post here, I would like to say thank you to everyone who is a part of the site and Hello! I've used this forum a number of times, but this is the first time I've posted here as this user! If the flexural stiffness of a beam is 25 MNm^2, and the beam is...
  19. A

    Bending of beams: calculation of stresses

    The cross-section of a cost-iron beam is shown in figure below, the loading being in the plane of the web, the upper portion of the section being in compression. If the maximum permissible stresses are 2000 kg/ cm2 in tension and 3000 kg/ cm2 in compression, find the moment of resistance of the...
  20. P

    Bending Stiffness: Derive Analytical Formula

    Homework Statement Hi, can I please get some help with deriving the analytical formula for bending stiffness of a cantilevered tapered tube. Homework EquationsThe Attempt at a Solution
  21. J

    Question about the location of max bending stress in a beam

    Hello guys, I have a simple question about the max bending stress in a beam. We know that in a cantilever beam, the biggest moment occurs at the wall. This is also the location of the max stress with equation stress= M*y/I , However, in a simple supported beam, we have This time, the max...
  22. M

    Help with a three point bending test

    Hello everyone, I am trying to evaluate the spring constant of a coaxial polymer cylindrical fiber. This fiber has a stiff core and a more soft sheath. I know the geometry of the system and I know the Young's moduli of both components. I can find separate models for the core or for the sheath...
  23. C

    Bending moment on multi beam sign post

    Hey guys, So just completed a question on a sign post subject to wind loading of 2 kPa where you had to determine bending moments across x and z planes (picture below), to determine normal, shear, max stresses and then determine the factor of safety depending on the beam type you chose. That's...
  24. David Lewis

    Bending moment diagram for overhanging beam

    I've drawn the free-body diagram of an airplane wing spar. I know the magnitude and location of all forces. What is the procedure to construct the bending moment diagram?
  25. R

    Cylinder filled with water deflection study

    I am having some problems understanding how to apply a distributed load to a cylinder due to it being filled with water. Attached is an image of the cylinder (placed horizontally). The cylinder is symmetric about the y axis. Water is to be filled from the left through the 1" hole. The cylinder...
  26. M

    Strength of materials/Max bending moment

    Homework Statement It's been a while since I've done this, it's essentially a strength of materials problem in my mechanical analysis class so I haven't worked problems like these in quite a a while. I'm fairly confident I've done it right however I was hoping someone might be able to confirm...
  27. H

    Force required to bend sheet metal with a bending brake

    I want to know the force required to bend a piece of sheet metal in a hand bending brake. The sheet metal is clamped down and then bent upwards to a desired angle. The action is performed in the video below . Let's say I wanted to bend a piece of .032" thick AL 3' long to 110° (given the brake...
  28. shott92

    Bending force or shear force what's the difference?

    Hi today I was watching a demonstration of using explosives in demolition and emergency rescue and they did one where they wrapped explosive cord around a steel I beam and cut it in half then said this was a shearing force which sounded right to me but then they took a concrete post similar...
  29. T

    Is Contact Force Responsible for Molecular Bending in Objects?

    Hello, When we have 2 bodies in contact with each other, for example a book lying on the surface of a table. The table's molecules bend a little bit because of the weight of the book thus producing the contact force. My question is this contact force acting on the book does also bend the...
  30. C

    Checking Bending Moment of Hub Connectors

    hi Gents, i am checking bending moment for hub connector. The manufacturer send me two values of maximum bending moment- one value due to primary load and one value due to primary load + secondary load. If you have any experience on checking bending moment of hub, please advise what value we...
  31. Daumantas

    Bending moment of countinuous tapered beam

    Hello, I can't find the formula for bending moment calculation of continuous tapered beam. the cross section is I (H) form, where web is 179.5 cm flange is 67 cm, web thickness is 1.5 cm and flange thickness is 2.5 cm. And this beam changes its height to 89.7 cm all other dimensions is the...
  32. C

    Virtual work in finite plane bending of Euler-Bernoulli beam

    Please refer to the following image, which shows a portion of the deformed centerline of a beam in its equilibrium configuration with a uniformly distributed load. The stress resultants are the axial forces T, transverse shears Q, and bending moments M at sections 1 and 2, with the rotations...
  33. P

    Bending space and space time - what is the difference?

    Sorry... This question may be very basic. As a self taught, I understand that the mass will bend the space around it such that any other mass entering the bent space will immediately be pushed towards the center because of the bent space. Higher the mass, higher will be the bent (if that is the...
  34. G

    Can Bending Stress on Curved Beams Be Calculated Using a Simple Formula?

    I have a problem where I'm considering a curved member of circular cross section bent in the shape of a half circle and fixed at the base. A force is applied perpendicular to it (so in the picture, the dot is the force going 'into' the screen at the top view) and I'm trying to find the bending...
  35. T

    Bending Space: Unraveling the Mystery

    As I hold a paper back book and bend it, I do not understand this idea of bending space. If I suppose the book and the air around it are really space, when I bend the book, that part of "space" goes into other parts of "space". Further, there must be space where the bending space once ways. What...
  36. SpiderET

    Interpretation of double bending / deflection

    Probably the most famous experiment confirming GR is bending of light by Sun. Here are the best explanations to this topic what I have found: http://www.mathpages.com/rr/s8-09/8-09.htm http://mathpages.com/rr/s6-03/6-03.htm Especially the graph of GR double bending vs Newtonian bending is...
  37. P

    Bending moment and Shear Force

    Do bending moment and shear forces are dependable on a beam's cross sectional area?
  38. P

    Bending Tubes with Feet: Efficient Calculation in English Units

    so when i use english units to calc bending so i use Feet for all dimensions?
  39. DrVirz

    Where is the point of maximum compressive stress in bi-axial bending?

    Hi all, I've attempted this question however my solution seems too simple..? I have taken the point 'A' (bottom right corner of beam) as the point with max compressive stress, I am not sure if this is correct. I have just assumed this by observation.
  40. S

    Position and magnitude of the maximum bending moment

    Homework Statement I need to calculate the position and magnitude of the maximum bending moment. Knows are: E=210GPa Homework EquationsThe Attempt at a Solution I've calculated the following: R1=33kN R2=32kN From the shear force diagram I know that at 2m from R1 at the concentrated load of...
  41. A

    Bending moments and points of contraflexure

    Hi I am attempting a question on moments and beams. I have attached the question and my solutions so far. But having trouble completing d) and e) Can someone show how to work out bending moments and the point of contraflexure? [PLAIN]http:// any help is appreciated thanks
  42. F

    Bending of tapered (nonsymmetric) beams

    I am trying to solve for the deflection and stress in a tapered beam (constant width b) shown in the attachment, and I am getting confused by at least 2 things: 1) how to deal with the "imposed" coordinate system, 2) the nonsymmetric shape and the corresponding neutral axis. [Assume that the...
  43. DrVirz

    Shear stress in bending member question

    Hi all, I was just wondering if someone could confirm that my answer to the below question is correct. The point where the question asks you to find the shear stress is at 2m (n). However, I don't believe this value needs to be included in the calculation anywhere?
  44. T

    Explaining Bending Stress in Cantilever Beams

    Hey everyone, I was just wondering if someone could explain to me what Bending stress is? Supposed you have a cantilever beam with a point load at the free end, I know that the bending stress will decrease as you move away from the fixed end? but why? and how can you back that up? Also, as...
  45. S

    Light Bending: Why Don't Waves Bend at Normal Incidence?

    why light waves do not bend at normal incidence?
  46. spovolny

    Free Beam Bending: Find Complete Answer & More

    Consider a beam with an upwards concentrated force applied to its center. This is equilibrated by a distributed downwards force. There are no displacement boundary conditions. I've tried approaching this with simple beam theory, but I can't get a complete answer (shear, moment, slope...
  47. S

    How to Calculate Shear Stress at a Point in a Bending Truncated Cone?

    Dear Colleagues, This problem causes me a headache - any suggestions? I have a truncated cone under bending on two axes. I take a section where I have two acting side forces - Qx & Qy I want to find shear stresses acting in the point A which is on a circumstance of the section 45° between axes...
  48. AshUchiha

    Bending of space and time, is it true?

    I've heard many theories like object with mass bends the space-time and causes object to fall for it. If that's true then the Earth should end up being colliding with the Sun right? , because the Earth's mass is 1/1 million of that of Sun according to my knowledge. If we take Earth's mass as m...
  49. A

    How does length affect the bending of a horizontal beam?

    Homework Statement We were shown this image ^ We were later told that it is suggested that the depression (y), is directly proportional to the length of the beam cubed (L3). We were asked to give reasons why this is so. EDIT: The 1kg mass is placed at L/2 Homework Equations y is directly...
  50. H

    Minimizing the maximum bending moment

    Homework Statement The question is asking us to minimize the maximum bending moment by changing l3. l1=3(m) l2=6.5(m) l4=12(m) P1=1200(KN) P2=2300(KN) P3=410(KN) and we know that obviously, 6.5<l3<12 Homework EquationsThe Attempt at a Solution We made relevant cuts and acquired the equations...
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