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. 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...
  2. 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...
  3. 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}}} +...
  4. 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}##...
  5. 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...
  6. 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
  7. 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...
  8. 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...
  9. 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...
  10. D

    Difference between partical shear stress and boundary shear stress

    Hi all, I am currently studying civil hydraulics in my civil engineering course and we are going through estimating critical shear stresses for sediments. I am confused about the difference between boundary shear stress and particle shear stress. In terms of estimating critical shear stress...
  11. N

    Deriving the equation for Shear Stress for Different cross-sections

    Hi I know the general equation for shear stress in beams is this: Shear Stress τ = F/Ib ∫y dA Depending on the shape of the cross section (ie. If its an I beam, T-beam, hollow square/circle) , after integration we will end up with a different equation. I want to know the exact procedure to...
  12. N

    Shear Stress equation in Beams

    I was working on a question where I had to find the maximum shear stress in a I-beam due to a shear force applied on it. Heres the question : An I girder 600 mm x 300 mm has flanges 25 mm thick and a web 13 mm thick. Find the maximum shear stress due to a shear force of 500 kN and compare this...
  13. M

    Answer: Factor of Safety for Bolt Shear & Tensile Stress

    Homework Statement The material for the bolt shown in the angled joint above has an ultimate tensile strength of 500 MPa and a shear strength of 300 MPa. The diameter of the bolt is 8 mm. Determine the factor of safety in operation. Homework Equations The Attempt at a Solution...
  14. A

    How to calculate normal stress and shear stress on the beams.

    This is the my homework.Who can solve this for me ? i upload my solutions and the problem .Thanks.
  15. S

    What is the relationship between normal and shear forces in structural analysis?

    Homework Statement Given in uploaded file Homework Equations σallow=\frac{P}{A} τallow=\frac{V}{A} The Attempt at a Solution Given in uploaded file Answers are d=16mm, h=10mm I tried using methods used in previous questions but it didn't work out for me here, if anyone could...
  16. S

    Solve Shear Stress Qn: Mx,My,Mz, Mc,I,J, VQ,It

    Homework Statement Homework Equations Mx=200Nm My=300Nm Mz=600Nm Normal stress caused by bending moment at A = Mc/I = (300*0.02)/((pi*0.02^4)/4)= 47.7MPa. This answer is correct. Shear stress by Torsional Moment=Tc/J Polar moment of inertia J=(pi/2)*c^4 So I...
  17. S

    Max Stress + Shear Stress for 10,000N Axial Load

    Homework Statement A draw bar between a tractor and trailer is made from a length of steel bar 0.08m by 0.012m rectangular cross-section. The load is transmitted by means of a 0.015 diameter pin at each end. Determine the maximum stresses in the bar and pin if the axial load is 10,000N...
  18. W

    How do you Calculate shear stress?

    So i have a stub axle shaft, I have determined maximum bending stress at several locations and the bending moments, my question is how do you calculate shear stress in a cantilevered beam? I assumed the shear would be longitudinal along the shaft. Thanks for any assistance given.
  19. G

    Materials Science Help - Slip Systems & Resolved Shear Stress

    Hi everyone, I've taken a course at uni that may be a little bit over my head, and am pushing through an assignment for it at the moment in an attempt to do well. I've hit a bit of a roadblock on one question though, so am hoping that someone kind here can help me out! The question is...
  20. V

    Torsional shear stress for square bars

    Hi can anyone help how to calculate torsional shear stress for square bars Regards, venkata prasad.G
  21. J

    Howt to calculate shear stress?

    I have a cross-section of a beam like this one http://imageshack.us/photo/my-images/810/img0129xf.jpg/ And I have to calculate the shear stress τ. I have these things allready calculated: Xc=8cm; Yc=6.9cm Moment of Inertia Ix=2946.7 cm^4 Moment of resistance Wmin=323.8 cm^3; Wmax=427.1 cm^3...
  22. P

    Find the average shear stress at each pin

    Homework Statement View image for all details Homework Equations tao = V/A The Attempt at a Solution I went ahead and solved the force at BC and the x and y components at A, but I feel as though my solutions are incorrect. At BC I have F = 825 kN (up and to the left), A_x = 714.5...
  23. A

    Why shear stress is produce in shafts

    hi my name is adil from Pakistan.what is a reason to produce shear stress in shaft,can normal stresses is produced in shaft&where is max shear stress is apply in solid shaft at end or center.
  24. B

    Calculating Shear Stress in a Flange Coupling with 4 Bolts

    Homework Statement A flange coupling is use to transmit torque of 1500 Nm between two shafts. The coupling has four 8mm dia. bolts equally spaced on a PCD of 175mm. Determine the shear stress on the bolts Homework Equations fs=\frac{F}{A} The Attempt at a Solution Back of the...
  25. S

    When calculating the shear stress, what should the area be?

    Homework Statement I'm looking at some problems and solutions to them, and when they calculate shear stress instead of having the area of the thing be pi*r^2, there is usually a (pi/4)*r^2. Homework Equations Shear Stress = V/A The Attempt at a Solution I don't understand where...
  26. A

    Shear stress on oscillating wall in viscous incompressible fluid

    Homework Statement A layer of viscous incompressible fluid of thickness H lies on top of a solid wall that oscillates simple harmonically w/ angular frequency Ω. u(wall)=Acos(Ωt). Ignore the motion of air above the fluid layer and find the shear stress at the wall. (Shear stress on free...
  27. R

    Find stress and shear stress

    Stress's for circular bar? Calculate the maximum normal and shearing stresses of a circular bar with diameter 0.05m and axial compression load of 150000 N .. I know for stress = Force / Area, how do you solve for shear stress?
  28. N

    Shear Stress In A Wooden Block

    Homework Statement Homework Equations \sigma = F/A The Attempt at a Solution I understand that I should evaluate the different forms of stress to find different values of the ultimate load. I also understand that I should choose the smallest value among them since anything...
  29. G

    Calculating Shear Stress & Safety Factor for Double Shear Pins

    Homework Statement I just want to know the difference between certain equations for shear stress. I'm trying to find the factor of safety for pins that are in double shear and have a circular cross section. Homework Equations So far I've used stress = 2F/pi*d^2 for double shear...
  30. F

    Shear stress in a pinned shaft

    So I am trying to figure out this shear stress problem that I have no idea how to approach. I have a shaft which is transmisitting a torque. It can be locked to its housing by using a pin which passes through it radially. I need to know that the shaft won't snap when transmitting its torque...
  31. A

    Fluids Mechanics, Wall shear stress, Velocity, Fricition Example

    Homework Statement A two-dimensional incompressible flow takes place in the space between two parallel solid plane boundaries, which are a distance 2b apart. The density of the fluid is p, the dynamic viscosity is p. and the velocity distribution in the flow is given by the expression I...
  32. S

    How Is Maximum Shear Stress Calculated for a Solid Circular Shaft?

    Homework Statement A solid circular steel drive shaft is 4 m long and 60 mm diameter. The modulus of rigidity of the steel is 85 GPa and its maximum allowable shear strength is 150 MPa. The shaft is used to transmit a power of 30 kW while rotating at 500 rev/min. Calculate the following...
  33. P

    Shear Stress & Hole Compression

    Dear forum, I need some guidence on how to solve shear stress on a pin and the hole compression due to force load on the pin. I haven't provided number as I can work those out later, but simply I am asking for a step by step! [PLAIN]http://img835.imageshack.us/img835/8623/problemsb.jpg
  34. M

    Why can maximum shear stress in a web be replaced by the average shear stress?

    I've been reading my strength of materials text about design of steel beams. I understand everything up to the point where the text tells me to use the average web shear stress (V/dt) instead of max shear stress (VQ/It) to determine if a given beam is within the allowable shear stress. I...
  35. C

    Can We Lift a Giant Tank with D-Bolts? Analyzing Shear Stress on Sheet Metal

    Hey so I am currently trying to calculate whether or not we can lift a giant tank made of corrugated sheet metal. I am looking for conceptual answers here, but will give some details. A potential plan is to place a number of D-bolts (let's say 8 for now) through holes near the top of the...
  36. 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...
  37. S

    Fluid Shear Stress Direction?

    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...
  38. 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...
  39. 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...
  40. 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...
  41. 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...
  42. 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...
  43. 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...
  44. 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.
  45. 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 = -...
  46. 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...
  47. 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?
  48. 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...
  49. F

    Shear stress for annealed & toughened glass

    Are there any figures available for shear stress of annealed and toughened glass?
  50. 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...
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