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. R

    Calculating the diameter of a pin in double shear

    Homework Statement Calculate the diameter of a meduim carbon steel pin in double shear subjected to a suddenly applied shearing force of 150000N? Homework Equations A=p/t p=300000 ( double shear) t=580 ( ultime shear strength) The Attempt at a Solution Double shear 150000...
  2. P

    Solve Shear Flow Problem: Find Correct Area

    Homework Statement The correct answer is circled. [PLAIN]http://img80.imageshack.us/img80/976/94926993.jpg The attempt at a solution I used the equation q = \frac{VQ}{I} But for Q = Ay, what is the area? My area was 80 x 20 = 1600 mm^2. However, this gave me the wrong answer.
  3. K

    Belt tension using bending and shear stresses

    Well I know I need to plot Mohr's circle for this, but what are the things i need to do before reaching that stage.here is the question: A 250mm diameter pulley is mounted on a 50mm diameter shaft at a distance of 200mm from a ball bearing. If the belt tension ratio is 3 to 1 determine the...
  4. L

    Cantilever Beam subjected to shear stress

    Homework Statement A cantilever beam (length, L, height, 2h, thickness 1). The top surface is subjected to shear stress tsubxy = s. Determine the stress function psi. The boundary conditions at the end of the free end (x=L) can be satisfied by integration (e.g., traction free can be...
  5. S

    Does Shear Stress Act in the Direction of Motion for a Downward Moving Plate?

    Homework Statement A submersed, vertical plate is moving downward. The positive coordinate is downward. Mass is M (per unit area). Shear stress is \tauw.Homework Equations \SigmaF = 0The Attempt at a Solution I have \SigmaF = Mg - 2*\tauw = 0. (2 for the two sides of the plate)(using unit area...
  6. M

    Finding Shear Stress with a 2x2 Stress Tensor and Normal Vector

    Homework Statement If I have a 2x2 stress tensor and a normal vector n and want to find the shear stress. Is it the same which shear stress I find? I mean Pn = P dot n Pnn = Pn dot n Shear stress = Pnt = Pn - Pnnn This gives Shear stress with the same unit vectors as n, f.ex i an j But I can...
  7. I

    Time Dilation in Rotating Bodies: Effects?

    If a body spins fast enough does the outer portion experience time at a different rate than the inner and if so what effects might this have?
  8. A

    Max Shear Stress Homework: Find Max Stress

    Homework Statement Find the maximum shear stress for \sigma _{xx} = 120 MN/m^2, \sigma _{yy} = 50 MN/m^2, \tau _{xy} = 40 MN/m^2Homework Equations \sigma _{min} = 0.5(\sigma _{xx}+\sigma _{yy})-0.5((\sigma _{xx}-\sigma _{yy})^2+4\tau _{xy} ^2 )^{0.5} = 31.8 \sigma _{max} = 0.5(\sigma...
  9. P

    Calculating Shear Force for a Linearly Increasing Load on a Rod

    Homework Statement A rod of length L is attached to a wall. The load on the rod increases linearly (as shown by the arrows in the figure) from zero at the left end to W Newtons per unit length at the right end. (a) Find the shear force at the right end. (Use any variable or symbol...
  10. K

    Solving Shear Force & Moment Problem on Inclined Plane Angle 30

    Homework Statement the distributed load the N V and Moment on the incline plan angle 30 solve by integral method need solving this problem as example Homework Equations The Attempt at a Solution
  11. Q

    Shear stress in Energy-momentum Stress Tensor

    Hi all - first post at PF. As a 'science enthusiast' with no training in the tensor math of GR, was initially bewildered by the common assertion that still hypothetical 'dark energy' would act as a source of 'negative gravity' despite having positive energy density. Finally grasped that pressure...
  12. B

    Shear Force and Bending Diagram. Need help understanding.

    Homework Statement http://img80.imageshack.us/img80/4476/bendingshearquestion.jpg Homework Equations \sumM = 0: \sumFy = 0:The Attempt at a Solution Revising for my finals and going over questions, and would like to understand more clearly how to get the following. Solution is in the image...
  13. I

    Shear Force Calculation for Punching Rectangular Holes in Mild Steel Plate

    I have just reg'd here and I have been lurking forever but its time to give in so I can get some help. Ive been working through some examples in this book; and so far so good however I am on a question which does not make sense the way I am working it out seems to me to be correct however...
  14. C

    Average Shear Stress on a Plate

    1. Problem Statement The long bolt passes through the 30-mm-thick plate. If the force in the bolt shank is 8kN, determine the average normal stress in the shank, the average shear stress along the cylindrical area of the plate defined by the section lines a-a, and the average shear stress in the...
  15. R

    Internal Shear Stress Question

    Something has been bugging me for a long time, since I took my first statics class a few years ago. I have a problem with a common figure found in many statics books. I have attached the figure to my post. My question deals with the delta V added to the shear force on the right side of the...
  16. bcrowell

    Differing definitions of expansion, shear, and vorticity

    There is a discussion of expansion, shear, and vorticity in Wald (p. 217) and in Hawking and Ellis (p. 82). My motivation for comparing them was that although Wald's treatment is more concise, Wald doesn't define the expansion tensor, only the volume expansion. Wald starts off by restricting to...
  17. P

    Calculating the shear force of an impeller on cement mixture

    Hello All, I have a quick question for you. I have small sample of a cement-like-like-material and I am high shear mixing it using a power drill and a impeller blade. The material is placed a beaker and the impeller blade shears the cement of the bottom of the beaker. I would like to...
  18. H

    Calculate Force for Beam Shear Failure

    I started a new job two weeks ago and I've been out of school for twenty years and have not used strength of materials knowlegde since. I had a part fail in the lab and I would like to calculate the force that would have been necessary to cause the shear failure. I have simplified the problem...
  19. A

    How Do You Calculate Shearing Stress in a Beam?

    Homework Statement A simply supported beam with its cross-section is shown in the attached figure 2.2. For the beam and loading shown, determine the largest shearing stress in the section n~n and shearing stress at point a shown in cross-section of the beam. Homework Equations The...
  20. H

    Shear stress-strain curve

    Dear colleagues I`m working on liquefaction resistance of sand utilizing shaking table tests. i want to draw shear stress-strain curves for each test and i need help from you,my Physicist colleagues. my model container is 200*70*50cm and i`ve put acceleration transducers at depth 7,21 and 35cm...
  21. S

    Shear & Bending Moment Diagrams

    I apologize for not using the template, but my question is more of a conceptual question than anything else. The only thing so far that confuses me with Shear and Bending Moment Diagrams is when, in some cases, it is easier to approach the beam from the right side instead of the left...
  22. A

    Shear and Bending Moment Diagrams for a Ski

    Homework Statement The ski supports the 900N weight of a person. If the snow loading on its bottom surface is trapezoidal determine the intensity w (N/m). Draw the shear and bending moment diagrams for the ski. The ski has an overall length of 2m. The force arrows 'hang' of the bottom of...
  23. D

    Stress, Shear and other things?

    Homework Statement We've been given several questions and told to use the internet to find out the formulas for them. But I can not find the right ones anywhere! If anyone could just give the formulas that's all I need! A seat is attached by a simple pin of a circular cross section...
  24. J

    Slip walls or Zero shear stress

    Hello I am trying to understand if is it reasonable to use "slip walls" or "zero shear stress" to model smooth walls. I am working with turbulent air flows in ducts. Please share your comments.
  25. R

    Difference in simple shear and rotational strain

    Is simple shear same as rotational strain? or, is it a type of rotational strain?
  26. D

    Finding the shear centre of a non-homogeneous cross section cross

    for the following cross section the ratio Eb/Ep=30 find the shear centre of the cross section ------------------------------------------- first of all i need to find the equivalent cross section, which will be the same except that the horizontal parts will be of length n*L=30*1=30cm...
  27. D

    Find the location of the shear center of this shape

    the open cross section shown is thin walled with a constant thickness. find the location of the shear center i have solved this sort of question but never for a circular cross section, at first i thought it should be the same just using polar coordinates instead of Cartesian coordinates...
  28. T

    Direction of wall shear stress

    What is the definition of shear stress in a cylindrical tube? It seems like sometimes that is written \tau = \mu \frac {\partial u} {\partial r} but then at some magic moment it gets rewritten as \tau = - \mu \frac {\partial u} {\partial r} so as to arrive at formula like \tau = -...
  29. J

    Calculate Shear Stress & Force in Beam for V=125kN

    Homework Statement Determine the Max, Min & average shear stress, and the shear force in web V = 125kN Note th attachment Homework Equations The Attempt at a Solution First I calculated the Moment of Inertia I = (1/12)(bh3 - bh13 + th13) = 3.43X10-4 m4 Max Shear...
  30. F

    Shear and Moment diagrams/calculations

    Homework Statement Draw the shear and moment diagrams for the beam shown and find the bending moment M at section C. The Attempt at a Solution So I got the correct answer for Mc but I'm confused on a few things. I get different answers using different techniques for different aspects of...
  31. C

    Does inviscid mean shear stress is negligible?

    I have this flow with Reynold's number in the 10^5, which I think it's big enough to treat the fluid as inviscid, does this also mean I can assume the shear stress is negligible?
  32. T

    Shear stress on a bar with a bend

    Homework Statement I have encountered this problem several times in class, but have never really understood it. There is a solid round bar that is fixed on one end, and that bends 90 degrees a ways down. At the free end of the bar there are forces applied in each Cartesian direction. Like...
  33. L

    What is Shear? Understanding Pure Shear

    what is shear? from looking at books etc i understood that the shear of a direction was the change of angle. but then pure shear doesn't have a change in angle between the axes, its just stretched in one direction and contracted in the other. so why is this called pure shear? I am rather...
  34. F

    Shear stress for annealed & toughened glass

    Are there any figures available for shear stress of annealed and toughened glass?
  35. R

    Help with Shear Modulus Research

    I was wondering if anyone could please point me in the direction of some background info on who (and why) someone defined the equations definition of the shear modulus, I've searched in google and wiki and havnt found anything useful. Just a link or something would be great
  36. H

    Finding dimensions of a beam using shear, moment, and moment of Inertia

    Homework Statement Homework Equations Moment of Inertia equation: I=(1/12)bh^3 Stress and Strain equations: Sigma= -(M*c)/I Tao = (V*Q)/(I*t) The Attempt at a Solution I know I need to use shear and moment diagrams to find the max moment so I can use the Stress diagram to...
  37. H

    Finding shear and moment diagrams for a simply supported beam.

    Homework Statement Homework Equations The Attempt at a Solution I know how to work shear and moment diagram problems, but I am a little confused as to how to start this one. Does it matter that the force is hanging off the bracket? Can I just continue as if the force was acting...
  38. N

    How is wall shear stress defined on complex 3D surfaces?

    I have computed the flow past a golfball and I am trying to calculate the shear stress on the surface of the golfball but I am having trouble figuring out how the wall shear stress is defined on 3D complex surfaces. When I am on the main part of the golfball that it is similar to that of the...
  39. K

    How do I calculate the factor of safety for a prismatic bar under tension?

    There is a question on my home work that I just don't understand how they got the answer they did. The first question is: In a prismatic bar, the load applied on both ends is 37 N causing the member to be in tension. If the cross section area of the member is 5.7 cm2 and the allowable stress...
  40. D

    Tension, Compression, Shear Problem.

    Homework Statement A solid steel bar of diameter d1 = 60 mm has a hole of diameter d2 = 32 mm drilled through it. A steel pin of diameter d2 passes through the hole and is attached to supports. Determine the maximum permissible tensile load Pallow in the bar. -Yield stress for shear in pin...
  41. W

    Solve Shear Stress Problem: Find F

    Homework Statement A steel plate 1m per side and 1cm thick has one edge held in a fixed position. A force F is applied along the upper edge of the plate produces a displacement of 0.005cm. Find the magnitude of FHomework Equations ΔL = (1/G) x (F/A) x (Lo) The Attempt at a Solution ΔL =...
  42. P

    Shear Force Due to Bending HW question

    Homework Statement My prof gave us this take home quiz to complete to prepare for our actual quiz. We are studying Shear force due to bending of beams (2nd year mech eng). In this question he told us that the shear force (V) can be applied at any of the points and that we would need to find the...
  43. H

    Draw shear force and moment diadram

    Homework Statement hi >>> this is my problem http://img39.imageshack.us/img39/7979/99979361.jpg Homework Equations The Attempt at a Solution need the solution >
  44. H

    Shear forces and bending moments on a box barge, formulas

    Homework Statement I need to determine loading sequences for a box barge - I have lots of information on the actual question, which I can't put up here because I have not attempted this question. I am really after some advice as to where I can find the equations I need. My (merchant navy)...
  45. J

    Calculating Shear Rate in Rotating Cylinder

    Hi, I'm trying to get an expression for the shear rate in a rotating cylinder (as pictured) in terms of the inner cylinder radius, outside cylinder radius and angular velocity. The inside cylinder remains fixed and only the outer cylinder rotates. Assume that the distance x is small. Any...
  46. W

    Determining X to Find Ultimate Shear Stress in Glued Joint

    http://s44.photobucket.com/albums/f46/maximus11373/?action=view&current=w-1.jpg&newest=1 An inclined member is braced with a glued block, as shown. The ultimate shear stress in the glued joint is 1050 psi. Determine the dimension X at which the glued joint will fail. I know that...
  47. W

    Determining Ultimate Shear Stress in Glued Joints

    http://s44.photobucket.com/albums/f46/maximus11373/?action=view&current=w-1.jpg&newest=1 An inclined member is braced with a glued block, as shown. The ultimate shear stress in the glued joint is 1050 psi. Determine the dimension X at which the glued joint will fail. I know that...
  48. H

    A few questions about Direct and Shear stress

    Just a few questions. 1). A bar of 2m and diameter 40mm, is subjected to an axial tensile force of 50KN. What will be the elongation and the reduction in diameter. The aluminium bar has a Modulus of Elasticity E = 70 Gpa and a poissons ratio v = 0.3 2). A 1.5m steel bar has a cross...
  49. A

    Max Shear Stress Calculation for EN 19 Steel Shafts

    how can i work out the maximum shear stress of EN 19 alloy steel? i need this in order to work out the minimum shaft diameter that will be capable of withstanding the torque applied to it.
  50. G

    Estimating shear loss from a piston ring

    Hi could someone tell me if it is possible to calculate the shear loss from a metal piston ring against the cylinder in a hydraulic pump when the outlet pressure and speed (in rpm) of shaft are known. Cheers (Updated: maybe along the lines of in cylinder pressure x piston speed x friction...
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