Bending moment Definition and 202 Threads

  1. S

    How Do You Derive the Bending Moment Distribution for a Beam?

    Homework Statement Derive the bending moment distribution of the beam: Homework Equations The Attempt at a Solution I end up with something like this: Im abit concerned with the profile, should it taper to zero? Any thoughts? Thanks
  2. M

    Fluid Mechanics - Drag (Bending Moment)

    A television transmitting antenna is placed on top of a mast which is 30m high and 300mm in diameter. The mast is on top of a tall building. The wind blows at 35m/s and at normal atmospheric pressure (1.225kg/m^3). If the drag coefficient for the mast is 0.2. calculate: (i) the total drag...
  3. S

    Finding shear force and bending moment in a beam

    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...
  4. N

    Why bending moment is constant on an end loaded beam

    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...
  5. N

    Derivations for a Bending Moment and Angle from Koenig's Apparatus

    Homework Statement I'm having ALOT of trouble figuring out how to derive these equations. I'll post up photos and the equations as follows. C is the Bending Moment Y is the Young's Modulus of the material r is the Radius of Curvature of the neutral surface I is the geometrical moment...
  6. K

    Finding maximum bending moment when shear force equation is known

    Homework Statement Calculate the Maximum Bending Moment of the bridge section using the values given. Ra = 61837.91667 N Rb = 78304.5833 N (please refer to attached diagram) Homework Equations shear force is = 0 when x = 13.755998 m (I worked this distance and the shear force equation out...
  7. K

    Calculating the maximum bending moment on a bridge

    Homework Statement Calculate the maximum bending moment on the bridge section using the values given. (REFER TO DIAGRAM ATTACHED) mass of bridge = 9250 kg mass of car = 2250 kg length of bridge section = 26 m Homework Equations I worked out previously that: Reaction at A = reaction at B =...
  8. B

    Help. Shear force and bending moment problem makes no sense

    Homework Statement Homework Equations ƩFx=0 ƩFy=0 ƩMo=0 The Attempt at a Solution I have no clue. By cutting the pieces, it changes the length. By cutting the cable at c and removing the 2 supports, wouldn't it make all the forces and moments = 0?
  9. L

    Designing a Beam from Shear Force & Bending Moment Diagram

    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...
  10. D

    To derive the bending moment of a simply supported beam

    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 =...
  11. A

    Generating Shear and Bending Moment Diagrams for Beams with PDEs

    I'm trying to write a very simple program to generate shear and bending moment diagrams for beams. The thing is that I don't know what kind of loading that the beam may see so I want to be able to write it as generically as possible. I'm trying to find a web resource (not a book, unless...
  12. H

    How to get the place of max bending moment ?

    what i know is the the max BM at zero shear but it is said that max BM in the cantileaver beam is at the fixation how? is the shear there )0) ?? there is reastion so how?
  13. N

    Find the Maximum (absolute) Vale of the Bending Moment

    Homework Statement Draw the shear and moment diagrams for the loaded beam. Then answer the questions. The distance x is measured from point A to the right. I have attached an image of the problem. Homework Equations The Attempt at a Solution I've managed to answer...
  14. C

    Bending moment of I section beam

    Homework Statement Hi everyone this is my first post. I am having a problem with the bending moments of the beam (see attached files). I cannot for the life of me seem to get the bending moment to finish at 0 so I can draw the bending moment diagram. I know this is generally quite a simple...
  15. W

    Design ultimate bending moment one-way spanning slab

    Homework Statement Find the design ultimate sagging and hogging bending moments per metre width of slab. Load on slab- Imposed 32 kN/m - Permanent 39 kN/m Length: 5m Depth: 8m Thickness: 0.175m Not sure if relevant but it has 2 spans (i.e. two 5m lengths of slab) but...
  16. S

    Relationship between curvature of an arch and bending moment.

    Homework Statement A bridge has two arches, with one abutment in the center labeled A connecting the two arches, and a point b on the right. I have calculated that the maximum bending moment in the structure would be at point A, right on the abutment that is connecting the two arches. I am...
  17. N

    Shear Force Diagrams and Bending Moment Diagrams

    Homework Statement http://img189.imageshack.us/img189/9131/22465062cfdd4934b51d7f5.png Hopefully the image isn't too difficult to decipher... Basically a beam balanced on to pin jointed pivots with 6 metres in between each one. Homework Equations ƩFy = 0 ƩFx = 0 ƩMP = 0 The...
  18. B

    What Is the Force Threshold for Beam Bending?

    Hi Guys, Do you know of any short formula to calculate bending moment of the beam on the attached image? I need to know the force at which this beam will start bending.
  19. R

    Euler-Bernoulli bending moment equation, how do you know it's right?

    M=EI\frac{∂^2w}{∂x^2} 1. What exactly is this? Is it like a geometric constraint? This equation doesn't seem to depend explicitly on external loading or beam boundary conditions. 2. Can I derive this starting from the Euler-Bernoulli beam equation? I am dealing with a beam with...
  20. F

    Is it possible to have curvature without bending moment?

    The simple question is whether it is possible to have curvature in a beam with no bending moment (similar to how there can be strain without stress)?The main example I have to discuss what lead me to this question is a beam which has been prestressed concentrically and so is undergoing only...
  21. S

    Bending moment for curve and straight beam

    It’s clear that bending moment for a curve beam is less than straight one And you can attribute this to moment of inertia, but there is something i don’t understand Which is if i have straight beam with small moment of inertia or huge moment of inertia simple supported beam), the moment will...
  22. A

    MATLAB Graph Bending Moment Equation in Excel/Matlab

    how can i graph the equation of the bending moment? The equation is: σ = MC / I and i want to graph in excel or matlab, , so i know that the graph is a straight line, and i have the values, but i don't know how draw the graph
  23. B

    How Do You Calculate Total Bending Moment in Opposite Corners?

    Hi!, Im relatively new and need some help on a simple problem. If i have a force in one corner of an object and want a resultant bending moment in the opposite corner, how do i find this? see attached image. Obviously i have two bending moments, 100Nx1.7m and 100Nx1.2m, how do I find a...
  24. M

    What Are the Bending Moment Equations for Sections AB and BC?

    Homework Statement Find the equations for the bending moment along AB and BC? Reactions at A = -15kN Reactions at B = 60kN Homework Equations F in the Y direction = 0 Moments with clockwise being positive = 0The Attempt at a Solution Moments about cross-section from the left before the...
  25. O

    Bending Moment and Force calculations two beams connected

    Hello, I need to find the bending moment and forces at the mid point cross-sections of two separate beams connected together. One is a horizontal beam connected to the top of a vertical beam that sort of look like this: H======== H H H H There is a UDL of 10kn/m on the top member, with the...
  26. C

    Determine bending moment and bending stress

    Homework Statement A timber beam, with rectangular cross section (h × b) is reinforced with additional full width (b) steel plates. There is a plate of thickness t securely connected on the top and a plate of thickness 2t on the bottom of the timber to ensure composite action in bending. The...
  27. F

    Relationship between funicular polygon and bending moment diagram

    Hello, I'm a civil engineering student. I learned how to contruct a funicular polygon and bending moment diagrams in two different subjects and I realized how close looking the two are, so I wondered if there was a good explanation to relate the two. I can feel it's kind of the same as the...
  28. R

    Calculating Maximum Bending Moment?

    Homework Statement A Beam ABCDE is 10m long and supported at its left hand end A and at a point D which is 9m to the right of A. The beam carries concentrated loads of 5kN at B, which is 2m to the right of A, 10kN at C, which is 6m to the right of A, and 3kN at E. It also carries a distributed...
  29. S

    Matlab Programming for Shear Force & Bending Moment Diagrams of a Beam

    Need help!Matlab programming for shear force and bending moment diagrams of a beam Homework Statement A program is required that will calculate the shear force and bending moment diagrams for a cantilevered beam of arbitrary length. The loads may be point loads or distributed loads,or a...
  30. S

    How do I calculate the bending moment in a beam for my ramp design?

    So for school I'm designing a ramp. The problem is that I need to calculate various things in it, none of which I've ever been taught, since I'm pretty sure it's all uni level. I've asked multiple teachers, including my physics teacher and my technology teacher, and they haven't been any help...
  31. J

    Bending moment diagrams with a hinge?

    Homework Statement Hey guys I'm having trouble drawing the bending moment diagram for this beam with a hinge? I'm not sure where to start? I've looked at stuff online and its completely different to the stuff in my textbook Homework Equations equilibrium equations ƩFx=0 ƩFy=0 ƩM=0...
  32. K

    Bending Moment & Neutral Axis: Why Not Centroid?

    Hey guys, as the title says I can understand why the neutral axis does not pass through the centroid after reaching a point where the bending moment is max before the beam collapses. Say you have a straight structure supported by two double I-Beams and a weight in the middle. Why does the...
  33. E

    Bending moment and stress of a washer shape

    Homework Statement I need to find the bending moment of a washer shape for a project I'm working on so I don't have an exact problem statement. Imagine that a washer was fixed (not pinned) around its inner radius and a force were applied evenly around the outer radius. How can I go about...
  34. B

    The calculation for the maximum bending moment is to be verified experimentally

    The calculation for the maximum bending moment is to be verified experimentally... The calculation for the maximum bending moment is to be verified experimentally using a strain gauge bonded to the outer surface of the beam, at the point where the maximum bending moment occurs. Derive an...
  35. K

    Shear force and Bending moment of a Cantilever Rod

    1. I have a rod as pictured in the attachment. The rod is at a 45 degree angle. The load force is 115.118lbf The force is y-direction is 97.954lbf The Force at A is 5 inches from Force in the y-direction. The force at B is 10.5 inches from the Force in the y-direction I need to find...
  36. R

    Does max deflection occur at max bending moment?

    i thought the maximum deflection of a structure (a beam for example) occurred at the same location of the maximum bending moment. But, doing some homework I am getting contradicting results. does max deflection ALWAYS occur at the same location of the max bending moment? thanks for the...
  37. B

    Deriving Bending Moment Diagrams from Shear Force Diagrams

    Folks, I was checking to see was it possible to determine the bending moment diagram from the shear force diagram. Seemingly one can do it for simply supported beams but if we consider a rigidly supported beam on either end its not possible to derive the bending moment diagram from the shear...
  38. B

    Arch Bridge Shear and Bending Moment?

    This is my first course in Engineering and the professor told us today that we have to do shear and bending moment diagrams for an arch bridge. Anyone have any clue on how to do this? He gave us no information on how to do it and nothing in a book. Please help??
  39. S

    Bending Moment in two directions

    Not Really a homework question but it will help with how i go about the homework. So i have a beam coming out of the wall and it has force acting on it like this: Woops, that 20 on the side view should be a 10 :P What i want to find is the total moment at the mid point. I know how to find...
  40. B

    Formula to Calculate Bending Moment of Beam Under UDL and Point Load

    Homework Statement 1.What is the formula to calculate the bending moment of a beam subjected to UDL? 2.What is the formula to calculate the bending moment of a beam subjected to point load? Homework Equations Bending moment (UDL) = WL^2/8 (Kg-mm or Kg-m) Bending moment (point load) =...
  41. D

    Bending Moment on Pole due to Wind

    Hello Friends. I have a question for the following scenario: There are two wooden poles, both set into the ground so that they are sticking straight up. The height of Pole One is H1 feet. The height of the Pole 2 is H2 feet. Supported in between these two poles is a wire. The ends of the...
  42. S

    Calculating Re-acting Forces of 10m Beam w/ 3 Forces & Bending Moment Diagram

    Question : A beam 10 meters long, with 3 forces acting on it and 2 re-acting forces on it to keep it in equilibrium. The re-acting forces are at 2 meters from either end. The forces onto the beam are at 3 meters from the left end of 10kN, 10 meters from the left end of 20KN and a distributed...
  43. S

    Calculating Bending Moment of Pinned Beam: Is it Negative?

    I have just calculated the bending moment of a beam for every metre over a 10 metre length, the beam is pinned at both ends. Is it possible for the full diagram to be Negative?
  44. Eagle9

    Maximum bending moment in blade

    Imagine that the electro motor is rotating the blade in air at sea level: http://img822.imageshack.us/img822/4655/222on.jpg During this rotation the air impedes the blade’s rotation and if the blade rotates too quickly or if it is made of fragile material rod will be simply broken or bent...
  45. D

    How to Calculate the Maximum Bending Moment of a Simply Supported Beam with UDL?

    A simply supported beam is loaded with a uniformly distributed load (UDL) W=40 kN/m from C to D. The maximum Bending Moment value occurs at the mid-length of the beam, i.e. 3.5 m from the left hand end A. What is the value of the maximum bending moment? Give your answer in kNm, with 1 decimal place.
  46. M

    Calculate Max Bending Moment for 10m Beam ABCD

    Homework Statement The beam ABCD in question is 10m long with supports at A and C. At B there is a 50KN point load and another 20Kn point load at D. The is a uniform load between A and c of 30KN/m. A is 8m from C, A is also 2m from b and d is 2m from c. I need to find the max bending...
  47. A

    Finding Maximum Bending Moment of a Beam – Help Needed!

    hi i want to find out the bending moment of a beam at a distance from one end is given by M=1/2\omega (lx-x^2) where \omegaand l are constant. how do we find maximum value and why its maximum value i would realli apreciate it if someone would help me
  48. S

    Calculating Fixed End Moments with Uneven Beam Heights?

    Ok, so I have a problem as follows: A beam is simply supported at joints A, B, C D and E. there is a UDL acting on the BC member The member is 6m long with a UDL of 60kn/m However the tricky part is that this member is 1.2 times higher than the height of the members AB, CD, and DE. So BC =...
  49. S

    Maximum bending moment in aluminium alloy beam

    I have three questions and need to calculate the magnitude of the maximum bending moment 1) A 4 m long aluminium alloy beam, simply supported at its ends, carries a central concentrated load of 2 kN. The T-cross-section of the beam (see Figure A2) consists of a rectangular flange and web...
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