What is Shear stress: Definition and 252 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. MexChemE

    Transport phenomena -- Direction of shear stress

    Greetings, PF! I have some questions regarding the problem I attached below. It is some sort of Couette flow variation. It's not homework, I'm just learning the basics of TP on my own. I fully solved the problem with the Navier-Stokes and continuity equations, using some assumptions in order to...
  2. ltkach2015

    Resolved Shear Stress VS General Shear Stress -Contradiction?

    TERMS: Slip Plane: is the plane that has the densest atomic packing—that is, has the greatest planar density. Slip Direction: corresponds to the direction in this plane that is most closely packed with atoms—that is, has the highest linear density. NOMENCLATURE: θ = angle of the slip plane as...
  3. ltkach2015

    Resolved Shear Stress Compared w/ Shear Stress-Contradictioni

    TERMS: Slip Plane: is the plane that has the densest atomic packing—that is, has the greatest planar density. Slip Direction: corresponds to the direction in this plane that is most closely packed with atoms—that is, has the highest linear density. TEXTBOOK: Materials Science and Engineering...
  4. 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?
  5. W

    How do I find the critical value of shear stress?

    Homework Statement Finding the critical value of shear stress at the junction and at the neutral axis Homework Equations stress max = (Bending moment x height from neutral axis)/Moment of inertia Shear stress = Shear force/area The Attempt at a Solution I am able to do the first 2 parts but...
  6. S

    Shear Stress due to bending

    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...
  7. S

    Finding the shear stress and angle of twist in hollow shaft

    MODERATOR NOTE: THIS THREAD WAS ORIGINALLY IN ANOTHER FORUM, SO THERE IS NO TEMPLATE. I have a hollow shaft made of a titanium alloy, Shear Modulus "G". The shaft has a wall thickness of 3.2mm and an inner diameter of 20mm. The shaft looks as show in the attached image. A torque T of 232 Nmm...
  8. A

    Double Shear stress on a bolt

    Hello. I know what follows seems like a HW problem, but it's an actual problem I'm trying to solve with some equipment I will be using. I am concerned that a bolt I am using will be unable to withstand the forces that it will face, and so I am trying to solve the problem out mathematically as...
  9. S

    Calculating shear stress in a beam?

    The equation for shear stress as I know it is VQ/It where V is the shear force, Q is the first moment of area(?), I is moment of inertia and t is the length of the section in question. My question is, is there a general formula for Q? In my Solid Mechanics notes I've written that Q = ∫y.dA but...
  10. P

    Maximum shear stress on a given plane?

    I want to know the maximum shear stress acting on the y-z face(plane). I already know all 6 stress components: Sxx, Syy, Szz, Sxy, Syz, Sxz. The shear components on the y-z face are Sxy and Sxz, which are orthogonal to each other. Is the maximum shear on this plane simply the greater of the two...
  11. M

    What is the Shear Stress in Bolts for a Given Torque and Separation Distance?

    Homework Statement jan 2012 q3.jpg I've solved everything up to part d). I generally struggle with questions on bolts and I'm really not sure how to tackle this problem. Homework Equations τ = Tr/J, τ = 200MPa, T=1kNm The Attempt at a Solution I worked out the separation of the bolts (I...
  12. P

    Shear stress in thin wall beams

    Homework Statement http://postimg.org/image/9va37id55/ The question is to find the shear stress at the points A, B and C. The solution uses the sectioning planes aa, bb and cc to do so. For example, at C, how should I know whether to use a horizontal or vertical sectioning plane. Also, how...
  13. 3

    What Textbook Covers Hooke's Law in Tensor Form and Shear Stress?

    Hi! I'm studying physics and currently taking the first mechanics course. After dealing with rotation and gyroscopes, now we're working on things like shear stress, and Hooke's law in tensor form etc. I've got Kleppner/Kolenkow but shear stress, Hooke's law in tensor form and tensors in...
  14. T

    How to find the torque, power and shear stress in this case

    Here is the sketch of the tv mount. http://1drv.ms/1G4yW6W The known values to me are the diameter of the rod (6mm), the length of the rod (600mm), the mass of the TV= 8.7kg and that the tv is supposed to move 600mm in 5 secs. Is there any information that I am missing in order to calculate the...
  15. G

    Tensile Stress and shear stress

    Suppose, a mild steel bar is being pulled from both ends.The stress acting on it will be tensile in nature.There is no compressive stress on material in this situation.When the pull exceeds material's yield strength,plastic deformation and strain hardening will occur.If pulling force is...
  16. M

    Shear stress on beam loading

    1. Determine average shear stress. Question attached2. Shear Stress = F/A , Sum of Forces and Moments = 0, Trig3. Attempt attached. Having a hard time determining reaction at pins. I worked out that the opposite side is 4.5m. I assume the next step is to determine reaction then apply Shear...
  17. R

    Stress analysis for a Bent Pipe

    I am a student currently working on a group project regarding the design of a gooseneck for a sub-sea pipeline. For those not familiar, a gooseneck is essentially a 45 degree bent pipe, to be used as a connection between a manifold and a longer pipeline (a flexible riser). part of this design is...
  18. J

    Calculating Tensile Lap Shear Strength: How Can I Determine the Shear Area?

    Hi, I am new to the tensile testing and still learning and would really appreciate the answer to a problem that I have been having. I performed a lap-shear test on two foils of copper bonded in single lap joint. The copper broke before the bond does giving me a force of say 500N. I want to...
  19. R

    Shearing Force - Cutting Force

    I have been assigned by my tutor to design a plastic granulator. After designing its features of the shaft, rotor etc I tried to calculate the force needed of cutting a piece of plastic (POM/Polycarbonate) having an ultimate tensile strength of 70 Mpa (shear strength assumed to be equal to...
  20. T

    Shear stress calculation question

    Homework Statement I've been working on this question for a while but can't get anywhere. I was able to calculate Force BD and Force CE Now I am not sure how they calculated the area of section BD the math isn't making much sense to me Homework Equations σ = P / A A= π r2 The Attempt at a...
  21. T

    Calculating Force for Punching a Hole in a Plate

    Homework Statement What force is required to punch a 20-mm-diameter hole in a plate that is 25 mm thick? The shear strength is 350 MN/m2. Homework Equations σ = V / A The Attempt at a Solution The first thing I did was rearrange the formula to isolate for V. I got the area which (A=πr2) gave...
  22. K

    Question related to Bending Stress and Shear Stress of a I shape beam

    1. Homework Statement The beam ABCD with the cross section has pin connections at B and C and is subjected to a uniformly distributed load w. If the allowable bending stress is 150MPa and the allowable shear stress is 80 Mpa. ( Hint : the horizontal reaction forces at A and D are both zero)...
  23. R

    Can I Calculate Shear Force and Bending Moment for Partially Loaded Beams?

    Hi, I am designing a beam to replace a load bearing wall. I have produced 2 separate UDL diagrams which, one for floor load and one for wall load. I am trying to find shear force and bending moment as in one for the total of the two diagrams. I know how to do it if the loads are spread...
  24. D

    Applied shear stress between plates

    Hi :), I need to calculate the shear stress applied between 2 plates and I don't remember how to take the thickness of the plates into account, --So basically I will be grateful if somebody could write the equillibrium for shearing stress between 2 plates (1 plate is applying force on the other...
  25. F

    Solving Shear Stress on a Bar - Mechanics of Materials

    I'm trying to understand a problem found on Mechanics of Materials and did not completely understood the problem. I can solve problems like this but I still don't know why I'm solving this way. It is a simple question: Why the shearing force V does not cause shear stress (\tau_2) on the point A...
  26. E

    Shear stress on a tire from a puddle of water

    Homework Statement A car is moving at 65 mph and hits a puddle of water 1 inch deep. What is the shear stress on the tire from the puddle of water if the radius of the tire is 16 inches. r = 16 inches u = 65 mph y = 1 inch mu = viscosity = 2.344*10^-5 lbf*s/ft^2 Homework Equations angular...
  27. B

    Minimum Shear Stress in Hollow Circular Tube

    Homework Statement A hollow pipe has an inner diameter of 80 mm and an outer diameter of 100 mm. If its end is tightened using a torque wrench using 80 N forces, determine the maximum and minimum shear stress in the material. Where are they located? Note: In the diagram of the picture, the...
  28. E

    Total moment of shear stress about the center line of a cylinder

    http://postimg.org/image/onxjqc26l/ I have found the shear stress of the inner cylinder to be 405 Pa like in the solution but I am having trouble visualizing the total moment of this stress about the center line. I was wondering if someone could explain where that d(theta) in the moment...
  29. W

    How to understand shear stress

    This is not a textbook problem, instead it is how to understand a common diagram. The diagram occurs in the wiki entry for shear stress http://en.wikipedia.org/wiki/Shear_stress It shows a 2D square, anchored on the bottom side, and with positive (rightward) shear stress applied to the...
  30. Ganesh Ujwal

    How to find max shear stress at a given point?

    The state of plane-stress at a point is given by σx = -200 MPa, σy = 100 MPa, σxy = 100 MPa The Maximum shear stress (in MPa) is: A) 111.8 B) 150.1 C) 180.3 D) 223.6 Explain Procedure also with Answer. Attempt: i already used Max Shear Stress τ = QV/ib, then also answer is not matching...
  31. E

    Why shear stress components of the Stress Energy tensor not zero?

    Hi, I am having trouble understanding why Tij can be non-zero for i≠j. Tij is the flux of the i-th component of momentum across a surface of constant xj. Isn't the i-th component of momentum tangent to the surface of constant xj and therefore its flux across that surface zero? What am I...
  32. M

    Solve Shear Stress Problem: Cartilage Deformed at 7.4°

    Homework Statement The force on a knee cartilage can cause a large force to deform it. The cartilage area is 11cm^2 and the shear modulus is 12MPa. Max force at impact is 904N at an angle of 12 degrees with the cartilage, through what angle (in degrees) will the cartilage be deformed...
  33. M

    Shear stress on a piece of Chalk

    Hello Everyone I'm trying to get a deeper understand about this, and I hope you guys can shed some light on the issue. I'm not an enginner, so this may sound a little dumb. Anyway, here it goes. Suposse I drop a piece of chalk. As it hits the floor, it will likely break into pieces, and...
  34. K

    Average shear stress in the glue joint between a spliced rod?

    Problem statement: Two 3/4-in.-diameter nylon rods are spliced together by gluing a 2-in. section of plastic pipe over the rod ends, as shown in the figure. If a tensile force of P = 500 lb is applied to the spliced nylon rod, what is the average shear stress in the glue going between the pipe...
  35. K

    Average shear stress in going between a spliced rod?

    Problem statement: Two 3/4-in.-diameter nylon rods are spliced together by gluing a 2-in. section of plastic pipe over the rod ends, as shown in the figure. If a tensile force of P = 500 lb is applied to the spliced nylon rod, what is the average shear stress in the glue going between the pipe...
  36. N

    Continuum mechanics and normal shear stress

    Homework Statement I am self-studying this note and I am stuck in the derivation of the normal shear stress. I can't see how the relations (23) and (24) come about, i.e. I don't understand \tau'_{xx} = \frac{\tau_{xx}+\tau_{yy}}{2}+\tau_{yx} and \tau'_{yy} =...
  37. S

    Shear Stress: Definition & Direction

    what is shear stress?what is its direction?
  38. B

    Help with shear stress and angle of twist

    A solid shaft 100mm diameter which transmits 75kw at 150 rev/min. the question is asking me to find the max shear stress and angle of twist per metre of the shaft length. G=80GN/m^2 I was under the impression to find the angle of twist you needed the length in the first place. None of...
  39. B

    Stress transformation, shear stress state, Mohr's circle c/work

    Homework Statement DIAGRAM ATTACHED AT BOTTOM Q. The following statements are true for an element in plane stress state. (this is 2D) (1) one of the principle stresses is 40Mpa; (2) σx= -2τxy; (the algebraic values) (3) in x'oy' with θ=30°, the two normal stresses σx'=σy' Determine...
  40. T

    Troubleshooting Shear Stress Equation for Physics Test

    Homework Statement i am study for a physics test and i think my physics teacher gave me the wrong equation for shear stress Homework Equations she gave me F=Δx/l *A The Attempt at a Solution
  41. M

    Shaft Shear Stress with strange shape

    Hello, I am having difficulty solving for the Area and wondering if this is correct.
  42. M

    Shear Stress in a hollow shaft

    Hello, I am wondering, is the area A in the equation meant to be the area of the empty space in the shaft, going all the way to the half way point of the structure (meaning, the area of the space included in the dotted lines in the diagram on my attempt?
  43. Z

    Fluid Mechanics shear stress, conceptual question

    Homework Statement Consider a fluid between two plates. One on the bottom which is stationary, and one at the top which is moving at constant velocity V. The plates are separated by distance h. Does shear stress change as you move further from the moving plate? Homework Equations the...
  44. B

    Shear Stress and Fluid Mechanics

    Homework Statement It's a relatively simple problem I'm sure, but I'm a bit confused on how exactly to go about it: There are three parallel plates with water (viscosity of 0.8807 cp @ 30°C) between plates 1 and 2 (plate order of 1 on bottom, 2 in middle, 3 on top), and toluene (viscosity...
  45. B

    Normal and shear stress distribution due to shear force and bending

    Hi guys, I have a repeat exam in 10 days and I have a couple of things which I would appreciate if you would help me with. I have attached the mock exam and my attempt at question 2. I will describe where I have issues below. Homework Statement For the FIRST question, I have the...
  46. D

    Shear Stress between Two Rotating Discs

    Hey everyone, As part of my PhD project I'm trying to design a small bioreactor in which I will be growing animal cells. This bioreactor will basically consist of a hollow cylindrical vessel that has an impeller in it which will keep the liquid medium in the vessel well mixed. The impeller I am...
  47. B

    Maximum working shear stress and working force?

    Homework Statement The maximum shear force of a set of bolts is 1000 kN. The ultimate shear stress is 750 MPa and the safety factor is 3. The diameter of each bolt is 20 mm. a) What is the maximum working shear stress in each bolt? b) The cross sectional area of each bolt? c) The maximum...
  48. A

    Finding Shear Stress at Point E on a Beam

    Homework Statement Determine the shear stress, \tauE, at point E that corresponds to the maximum shear force along the length of the beam. V = 25kN b= 55 mm c=150 mm d=110 mm e=65 mm Homework Equations \tauE = \frac{V*Q}{I*t} Q = \bar{y}'*A' The Attempt at a Solution I was able to find...
  49. A

    How to Calculate Maximum Shear Stress: Solid Shaft with Locked Door Handle

    Homework Statement A locked door handle is composed of a solid circular shaft AB with a diameter of b = 108mm and a flat plate BC with a force P = 69N applied at point C as shown. Let c = 532mm , d = 126mm , and e = 153mm . Homework Equations \taumax = \frac{Tc}{J} T = internal torque...
  50. 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...
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