What is Shear: Definition and 621 Discussions

Shear stress, often denoted by τ (Greek: tau), is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. Normal stress, on the other hand, arises from the force vector component perpendicular to the material cross section on which it acts.

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  1. N

    What is the Shear Modulus of This Screw?

    I have a screw that is used in our plant that is rated to break at 39 ft/lbs of torque. The diameter of the shaft is .130 inches. What is the shear modulus of the material that is being used. Thanks
  2. P

    Modulus of Elasticity with shear Corrected

    I appreciate your help with this problem from a Three point Bending Test in Wood samples Homework Statement Force: 2400 N Deflection: 4.3 mm Span: 343 mm Length: 392 mm b: 24.01 mm d: 24.25 MOE: 16445.15 MPa How can I calculate the Modulus of Elasticity with shear corrected...
  3. I

    Shear Flow Against a Wall (Fluid Mechanics)

    Homework Statement Assume a shear flow against a wall, given by U= Uo (2y/ax - y^2/((ax)^2) where a is a constant. Derive the velocity component V (x; y) assuming incompressibility. Homework Equations Haven't been able to find any in my course notes. The Attempt at a Solution...
  4. M

    Beam section and shear stress.

    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...
  5. B

    What Does Simple Shear Deformation Tell Us About Material Behavior?

    Homework Statement Let {ii}, i = 1, 2, 3 be an orthonormal basis as shown in Figure 2 and consider a simple shear deformation from R to R′ defined as \hat{y}(x) = x + γ(x · i2)i1 , where the scalar γ corresponds to amount of shear. Homework Equations For this homogeneous deformation...
  6. S

    Shear stiffness for elevated water tank

    Hello, I just have simple question regarding shear stiffness for elevated water tank, this tank is elevated on a column and this column is fix in the base my question is which formula should i use to calculate k k=3EI/L3 OR 12EI/L3 i know the the first for fix pin case and the second...
  7. C

    Statics: Drawing Shear and Moment Diagram

    http://img687.imageshack.us/img687/5889/shear.png I'm having trouble drawing the shear diagram on MAsteringEngineering. I'm pretty sure the values are correct too? I got By = 10.5 and Ay = 9.5 V(x) = -2x+9.5 for the distributed load so when I set V=0, I find the x intercept to be...
  8. J

    Young's Modulus, Bulk Modulus, and Shear

    I'm dealing with a cylinder. The equation for the stress of each is Force / Area. What are the different areas for the equation in regard to young's modulus, bulk modulus, and shear modulus? Is the area Young's Modulus stress the area of circle face? What about for shear stress? Would the...
  9. B

    Shear calculation for round pipe

    Can someone please help me. I have a pipe 200mmOD x 160mmID welded to a Steel structure The pipe is 100mm long with a 12mm plate x 250Dia welded at the end of the pipe. The steel structure weighs 7500Kg I have to lift the structure with a crane. The crane has a cable with a loop which can...
  10. 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...
  11. R

    Shear modulus and shear strain relationship?

    If a shear force is acting on a rectangular beam, how do I use the value of the shear modulus to calculate if the force applied will fracture the beam? Below I've submitted the data involved. The shear force applied is 1000 N and the cross section area is 28 mm. So the shear force applied is...
  12. R

    Shear stress without fracture?

    Material: PVC E-modulus: 1300 N/mm^2 Poisson's ratio: 0.35 Applied shear force: 100 N Resisting area: 28 mm^2 Shear modulus: E = 2G(1+v) --> G = E/(2(1+v)) = 1300/(2(1+0.35) = 481 N/mm^2 Does this mean that a force which can be applied to the area without fracturing is 481 N/mm^2 * 28 mm^2? I...
  13. S

    Principal Stress and Maximum Shear Stress

    Homework Statement Hi all, For my CW I have a question on a simple beam, ABCD and its cross-section. Please see attachment for figures The material of the beam is steel, where modulus of elasticity, E = 210 GN/m^2 I have been asked to calculate the principle stresses and the maximum shear...
  14. L

    Torque applied to both ends of a rod, resulting shear?

    Hi, Can anyone explain what would be the maximum shear force experienced by a rod if equal and opposite torques (T) were applied at each end? In comparison to a rod that was fixed at one end and had a torque T applied at the other end would the maximum shear experienced by the rod be...
  15. 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...
  16. D

    Calculating Shear Force for an Elastomeric Bearing Pad

    Gents and Ladies I have a question I have been given to work out shear force for. The question is an elastomeric bearing pad is subjected to a shear force V the top plate is found to have displaced by d = 12mm dimensions of the top pad are a = 150mm by b = 200mm, the thickness (d)...
  17. D

    Is the expression for the second invariant of the stress deviator incorrect?

    Let the second invariant of the stress deviator be expressed in terms of its principal values, that is, by $$ \text{\MakeUppercase{\romannumeral 2}}_{\text{S}} = \text{S}_{\text{\MakeUppercase{\romannumeral 1}}}\text{S}_{\text{\MakeUppercase{\romannumeral 2}}} +...
  18. D

    Shear Stress at Point P: Principal Stress, Direction & Max Shear Stress

    The state of stress at point ##\mathbf{P}## is given in ksi with respect to axes ##P_{x_1x_2x_3}## by the matrix $$ [t_{ij}] = \begin{bmatrix} 1 & 0 & 2\\ 0 & 1 & 0\\ 2 & 0 & -2 \end{bmatrix}. $$ Determine (1)the principal stress value and principal stress direction at ##\mathbf{P}##...
  19. S

    Understanding Shear Stress in Tensile Loaded Bodies: Causes and Effects

    Hi all, I'm having problems with visualising shearforce for a body.Let us take a rectangular prism and fix one of its ends.Let the other end be subjected to a tensile force T Newtons.The normal stress acting on the cross section is the tensile force /area of cross section perpendicular to...
  20. D

    Bolt screw shear strength calculations

    Hi guys, I have an electric motor that comes with a flange to be bolted on a plate horizontally so that the 4 screws carry the weight of the motor and the momentum it creates on them. Could you direct me to how to calculate if the given screws and nuts stand up to the load? Perhaps an example...
  21. S

    Shear Area in Washer: Calculating Load and Area

    Hi all, Just curious about how to size the thickness of washer for a particular class of bolt.(I'm not actually designing one but want to know how standard washers are sized.)I'm having a feeling that the washer will be under compression (Bearing surface of bolt head or nut).Bending will be...
  22. 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?
  23. D

    Drawing a shear force diagram with loads working at an angle

    I was wondering how you incorporate an angled load into a shear force diagram? So far I've only been working with vertical loads and I've looked through my entire book without finding an example with loads at an angle, so I'm not sure what to do here. I know I have to end up at 0 so I see I...
  24. T

    Shear stress and pressure drop

    hello all... Please can i know physically why the pressure drop in a fluid when there's shear stress? what happens? thank you
  25. P

    Shear and moment diagrams with bevel gears

    I have attached the problem. I am a bit confused on how this schematic works. The 3 forces on the bevel gear should translate to 3 moments where the bevel gear connects to the shaft. Will there also be any forces where it connects to the shaft?
  26. C

    Effect of wind shear on noise propagation

    Can anyone recommend a source of information that quantifies how wind shear effects the propagation of sound/noise? I know the basics in that wind shear either bends sound waves upwards or downwards but I'm looking for something that helps calculate the effect.
  27. R

    Maximizing Beam Design: Balancing Bending and Shear Forces

    Homework Statement This is not a homework problem but a general situation where I'd like to know which is better to do. Say for example I have a cantilever beam of length L and some moment of inertia I, first moment of area Q and thickness t with a force P applied at the free end...
  28. 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...
  29. P

    Guessing Shear Center Location: Tips & Tricks

    Hi, This is a question about shear center location. I know exactly how to calculate the exactly location. But I have trouble quessing the first "Imaginary" location. I have this picture http://i46.tinypic.com/16jesgo.jpg http://i49.tinypic.com/2v30xlk.jpg Now you see that the shear center...
  30. K

    Fluid mechanics: defition of shear flow [rate of deformation tensor]

    fluid mechanics: defition of "shear flow" [rate of deformation tensor] I'm studying old undergraduate chemical engineering notes for an exam in grad school. Can't recall what this really means, can anyone explain to me what "off-diagonal elements" means and why the trig function velocities...
  31. N

    What happens to a shear wave at a solid/fluid boarder

    Hey people, I am embarrassed and I tried hard to find an answer on that one. I know that shear waves only travel in solid media but what happens on the border from a solid to a liquid. Does the shear wave cause a longitudinal wave? I found an article where a graphic shows that behavior but...
  32. M

    Principal Stresses and Finding Shear forces

    Homework Statement I am trying to find the Normal Stress of face AB in the attached picture, the shear stress in BC and AC and the maxium shear stress in side the rod. σx = 40N/mm^2 σy = 62.5N/mm^" Area =314mm^2 Homework Equations I have attached the relavent equation underneath the problem...
  33. Femme_physics

    Calculating Welded Area and Rivet Diameter for Shear Stress - Homework Solution

    Homework Statement The depicted construct is made of a rod with a square cross-section and two plates. The plates are jointed together through 4 similar rivets. The square rod is welded to the wall at "B" and to the plates at the other end through peripheral corner welds. On the board acts an...
  34. F

    Torque required to shear titanium

    Hi, I am trying to workout how much torque from a motor is required to shear Ti64 plate. I have an upper platen which is rotated by a motor. The upper platen is compressed against titanium plate at 19kN. I am simulating sliding during forming process and need a motor to be able to turn...
  35. S

    Negative & Positive Shear Factor

    My question relates to constructional geometry & matrices aren't to be involved in the solution because stated Math level is up to O Levels... The figure below shows shear with y=3 as invariant line & shear-factor of 3 My question is if you are provided the original polygon & asked to do shear...
  36. B

    Potential Energy Functional - Timoshenko Shear Locking

    Folks, The total potential energy functional for an isolated finite element timoshenko beam is given as ## \displaystyle \Pi_e(w, \Psi)=\int_{x_e}^{x_{e+1}} \left[ \frac{EI}{2} \left (\frac{d \Psi}{dx}\right )^2 + \frac{ G A K_s}{2} \left ( \frac {dw}{dx} + \Psi \right )^2 +...\right]dx...
  37. N

    Find the Shear and Moment on the Beam

    Homework Statement Derive expressions for the shear force V and bending moment M as functions of x in the cantilever beam loaded as shown. Then answer the questions. At x = 2 ft, V = M = At x = 9.3 ft V = M = I have attached an image of the question The maximum...
  38. P

    Can DOUBLE SHEAR occur in ANY direction?

    i recently came across a problem which has raised a question in my mind... heres the link to it http://www.mathalino.com/reviewer/mechanics-and-strength-of-materials/solution-to-problem-119-shear-stress the Rbh force tries to shear it horizontally while the Rbv tries to shear it...
  39. C

    How to work out the mean shear stress I section beam

    I have completed bending moment and shear force diagrams and have a question asking for the mean shear stress. I know this is worked out using the formula: tau = F/A. I am unsure of what force to use is it the max shear force on my diagram? My other thought is that it could be an avergae of...
  40. 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...
  41. P

    Why do compressed materials fail in shear?

    Why when you compress materials like concrete do they fail in shear? Can the thing you're compressing be too small to fail in this way?
  42. M

    Anisotropic heat diffusion in gas streams with shear?

    Hi all, I'm working on a heat transfer problem with a gas stream in a tiny tube. At my dimensions and flow rates, the flow still has a parabolic velocity profile. The mean radial velocity of the gas is zero, and I've treated the radial aspect of the heat transfer as strictly diffusion...
  43. S

    Shear Center for Open Thin-Walled Members

    Homework Statement There is a section in my book that has the same title as the title of this discussion topic. I understand the math just fine, so this is a conceptual question. In the book the cross section is shaped and oriented like a C, and it shows the shear flow flowing...
  44. T

    Solve Shear Force & Moment Equation Homework

    Homework Statement The problem and the solution are in attached. Homework Equations The Attempt at a Solution What I'm confused about is the moment equation. Why does the equation reference both Ay and Ax, but it only considers the 3 kip force in one direction. Why doesn't it...
  45. M

    Calculating Principal Stress, σx and τxy

    Homework Statement The principal stresses at a point in a material are 50 MN/m^2 and 30 MN/m^2 , both in tension. If the angle between the Ox axis and the direction in which the greater stress acts is 40º measured anticlockwise from the direction of the greater principal stress, find σx and...
  46. R

    Material shear and normal stress question

    Homework Statement Everything needed is written in the question ( Open the attached image ) Nyhow the required is to find the value of P.Homework Equations Shear stress = \frac{ \Delta V }{\Delta A} eq 1 normal stress = \frac{ \Delta N }{\Delta A} eq 2The Attempt at a SolutionFor the...
  47. T

    Why is shear stress highest at the wall of a vessel?

    Hey guys, I am trying to conceptualize as to why shear stress in a vessel is highest at the wall of the vessel and why it is at a minimum at the center. First let me see if I actually understand shear stress - In a vessel with blood flow, it is the force required to overcome the...
  48. R

    What's the most illustration explanation or reason why a shear can

    what's the most illustration explanation or reason why a shear can pass from positive to negative in say a beam?
  49. P

    Is any relation between curl and uniform shear available?

    The relation between the vector operator curl and rotation in fluids and vector fields is treated thoroughly in many texts. And the uniform (pure or simple) shear of a solid is adequately described by the strain tensor. I'd like to put the two together. My guess is that an alternative...
  50. A

    Shear Modulus (G) for Nitronic 50 or XM-19 Hot Rolled Condition

    I am looking for shear modulus (G) for Nitronic 50 or XM-19 High strength hot rolled condition UNS - S20910 and ASTM A276-10 it is surprising for me that material standards like ASME or ASTM does not provide shear modulus data..? even checked "http://www.keytometals.com" and...
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