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. 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 =...
  2. M

    Solid mechanics (shear stress) question

    Hi, if the shear stress on an element in a solid is SAy/bI, where S is the shear force and y is the distance from the neutral axis, what value of y do i use if the point I'm calculating is on the neutral axis?
  3. 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...
  4. 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...
  5. 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...
  6. 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.
  7. B

    Comsol-Fluid flow and shear stress

    Dear all, I was trying to calculate the shear stress due to fluid flow inbetween two parallel plates from the velocity profile taken from the middle of the flow channel (along vertical axis 'y') using comsol. The solution i got is two times the analytical solution i have calculated. The...
  8. I

    Shear stress distribution in triangular steel profile

    For my job I have to calculate the maximum shear stress in a triangular thin wall steel beam. I know how to calculate this for a retangular shape. The general formula is: tau=Vy*Sza/(b*Iz) with: tau= shear stress Vy=force Sza = statistical moment b= width Iz = moment of Inertia I...
  9. W

    Shear Stress Differential Equation

    Homework Statement Equation solved from previous problem: (g/\nu) = (1/r) d/dr [ r dvz/dr] T = \mu * dvz/dr Boundary condtions: vz (r=a) = vz (r=b) = 0 The Attempt at a Solution (d/dr)[d/dr r*vz = g*r / \nu (d/dr) r*vz = gr2/2\nu + A vz = gr2/6\nu + A + B/r I am...
  10. N

    Which Area Should Be Used to Calculate Shear Stress in a Cheese Grater Scenario?

    Homework Statement The bottom surface (8 cm x 12 cm) of a rectangular block of cheese (3 cm thick) is clamped in a cheese grater. The grating mechanism moving across the top surface of the cheese, applies a lateral force of 20 N. The shear modulus, G, of the cheese is 3.7 kPa. Assuming the...
  11. S

    Calculating Shear Stress on a Rivet in Tension with Angle of Load

    A load of 5kN is applied to the tensile member shown in the figure below and is carried at the joint by a single rivet of 20mm diameter. The angle of the joint is 60 degrees to the axis of the load (the axis of the rivet is at 30 degrees to the line of action of the load P). Calculate: (a) the...
  12. B

    Maximum shear stress in square tubing

    Does anyone have the equation for this. I tried one from my textbook, and the answer I get is less than the average shear stress which is impossible. So I was curious to look at onother version, because perhaps the eq. has a typo? Also, does it occur at the neutral axis like it would in a round...
  13. S

    Shear stress on bolts (in different planes)

    I am trying to understand the behavior of bolt in different plane. My doubt is when shear force acts on bolts in 2 different plane simultaneously, does it share the shear force (F/2) or each bolts experience the total force (F). I am sure that if there is a bolt pattern on the same...
  14. S

    How to obtain Allowable Shear Stress

    Hi every one, I am going to find the maximum allowable torque of a 4340 shaft, 30Dia. However I think that the maximum allowable shear stress is still missing. Can i use the tensile strength instead?? http://www.matweb.com/search/DataSheet.aspx?MatGUID=4a3cfc1e1cfd451091e67d3f3b66bb80&ckck=1
  15. M

    Calculating Shear Stress in a Steel Drum

    Homework Statement A steel drum contains oil with a density of 0.712 and is standing on one of its ends. It has a diameter of 66cm and its height is 1.98m. The plate it is rolled from is 1.2mm thick and has an E=200GPa. It also has an ultimate strength of 510MPa. Homework Equations...
  16. L

    Fluid Mechanics (Shear Stress)

    1. Question A large plate moves with speed (v.o) over a stationary plate on a layer of oil of thickness (d) and viscosity (u). If the velocity profile is that of a parabola, with the oil at the plates having the same velocity as the plates, what is the shear stress on the moving plate from the...
  17. Saladsamurai

    Question About Shear Stress Naming Convention

    Question About Shear Stress "Naming" Convention I cannot seem to find this in any of my texts. For a shaft of circular cross-section, how do you name the shear stress \tau_{ij} caused by a Torque? That is, how do you assign the indices i j ? Is it the plane that contains the cross-section...
  18. Saladsamurai

    Fluid Mechanics~ Wall shear stress

    Homework Statement My main problem here is that I do not understand what they are asking. What is the wall shear stress? Do they mean the stress at the "floor" (or whatever you want to call it)? If so, I am assuming I use Newton's Law of Viscosity \tau=\mu\frac{du}{dy} since this is...
  19. C

    Determine Maximum Magnitude P for Shear Stress of Beam

    Homework Statement Question 3: The beam is supported by a pin at A and a short link BC, as shown in Figure 3.0. Determine the maximum magnitude P of the loads the beam will support if the average shear stress in each pin is not to exceed 80 MPa. The diameter for each of the pins is 18 mm...
  20. J

    Calculating Bolt Diameter for Shear Stress in a Riveted Joint

    This is a problem given for laboratory analysis, but there are no relevant equations in our textbook to help solving the problem. Could anyone just give me a hint on what equation should be used to solve the problem? the only relevant equation I know is : shear stress = F/A 1. The figure...
  21. W

    What is the Relationship Between Shear Stress and Density for Fluids?

    Homework Statement I have an empirically-derived equation for the shear stress of a fluid on a surface, given by the equation below. I am supposed to take the derivative of density with respect to distance, and I must use this equation to find an expression for density. Delta = Boundary...
  22. L

    Calculate Shear Stress on a Plate Moving Through Oil | Fluid Mechanics Homework

    Homework Statement A plate sitting on the surface of oil with thickness (y) and viscosity (u) moves with speed (Vo). The velocity profile is a parabola with oil at the plates having the same velocity as the plates. Find the shear stress on the plate from the oil. Repeat problem but with a...
  23. L

    Shear Stress over Stationary Plate

    [b]1. A large plate moves with speed (v.o) over a stationary plate on a layer of oil of thickness (d) and viscosity (u). If the velocity profile is that of a parabola, with the oil at the plates having the same velocity as the plates, what is the shear stress on the moving plate from the oil...
  24. C

    Shear Stress in Pins: Solving Forces in 3 Equations

    Alright so I'm working on my statics homework and am working on Shear Stress. I know that stress is the force divided by the cross sectional area, but how do I do it for these pins? I've solved for the forces in each pin by using the 3 equilibrium equations, can someone nudge me in the right...
  25. S

    Shear stress calculation for adhesive

    I want to calculate the maximum shear stress, that two surfaces joint by a single lap joint, would be able to take. I am going to suspend one surface from a rigid supoort and then put the force on the other surface downwards using weights. I am assuming that material will be able to take...
  26. R

    Calculate Average Shear Stress in Glue Bond - 50kN, 80mm

    I need to determine the average shear stress developed in the glue bond. P=50kN and P2=80mm http://users.on.net/~rohanlal/Untitled99.jpg My attempt: stress=force/area stress=(50/(200*80))+((50/2)/(200*80))*2 Is this correct?
  27. K

    Solving for Shear Stress Using Tau and Nu

    Homework Statement Tau = (some constant) * Nu Homework Equations Shear stress = (some constant) * Kinematic Viscosity The Attempt at a Solution n/a Thanks!
  28. D

    Path of shear stress over one load cycle

    Homework Statement normal tension [MPa], shear tension [MPa], equivalent tension [MPa], deformation [%], number of cycles until failure all this are given for a lot of specimen of the same material Homework Equations \sigma_\theta, \tau_\theta The Attempt at a Solution Find...
  29. A

    What Causes the Discrepancy in Calculating Wall Shear Stress in Pipe Flow?

    fully developed flow liquid of dynamic viscosity 2.9x10^-3 Pa.s and relative density 0.9 in horizontal pipe of diameter 12mm, length of pipe=200mm and mean velocity is 0.5m/s To find the wall shear stress, i used τ=μ.du/dy = (2.9x10^-3)(0.5/0.012) = 0.121Pa The answer is 0.968Pa, where am...
  30. F

    Calculate Torsional Shear Stress: Step-by-Step Guide

    I require some help please. I know : Rule: T/J = t/r = GΘ/L L = length = 0.33 r = radius = 0.025 D = diameter = 0.5 The starting points and stages would help. I have to hand this in next wednesday, i thought i would ask the community. ------ Determine the distribution of...
  31. P

    Calculating Shear Stress in Stainless Steel Rod - Quick Question

    Homework Statement Just a quick question: Wikipedia tells me that due the shearing stress, the yeild strength of Stainless Steel is 520Mpa But how can i find out the Yeild strength of a 100mm long rod with diameter 10mm. Is the info for wikipedia based on a 1mx1mx1m cube? or some...
  32. P

    Shear Stress of a particular length rod

    Just a quick question: Wikipedia tells me that due the shearing stress, the yeild strength of Stainless Steel is 520Mpa But how can i find out the Yeild strength of a 100mm long rod with diameter 10mm. Is the info for wikipedia based on a 1mx1mx1m cube? or some sort of SI unit. Cheers
  33. H

    Shear stress in an annular plate

    Hi Everyone, I am having a problem finding the shear stresses in an annular plate. The problem is as follows. I have an annular plate with outer radius a, inner radius b. Outer and inner edges are fixed. I also have an annular line load at radius r. I am trying to calculate the shear...
  34. Saladsamurai

    Finding diameter of pins from allowable shear stress

    So I got the diameter of the pin at a no problem. For some reason I am screwing up the Force at B. I thought my reasoning was correct, but I am coming up short. The answer is larger then what I an getting, so my F_BC must be too small, thus I am not accounting for something. Here is...
  35. K

    Calculating Average Shear Stress with Shear Force

    I need an equation for shear force ASAP I am finding average shear stress . i have the equation for that T=V/A T being average shear stress A being area and V being Shear force. Thanks
  36. M

    Deriving Shear Stress on a Conical Bore Fluid Element

    I would like to derive a relation for shear stress on a conical bore shaped fluid element. Essentially, I have flow going through a converging nozzle. I know variables in this include length of the nozzle, inlet and outlet diameters and pressures and nozzle angle. I've done a force balance on...
  37. B

    Finding the max shear stress at a point on a plate (with a hole)

    i need to find max shear stress at a point on a plate (with a hole) under tension. i found using experimental data the principle strains at the point but i need to find the max shear stress using this data to compare it with a result found analytically. any suggestions?
  38. S

    Shear stress, what is a flat tie bar ?

    shear stress, what is a flat tie bar...? Homework Statement two lengths of flat tie bar are connected together by a lap riveted joint with three rivets each 10mm in diameter. Calculate the maximum pull that can be applied to the tie-bars if the shear stress in the rivets is not to exceed...
  39. S

    Solve Shear Stress with Expert Tips

    attached is my problem. any help will be appreciated! thanks!
  40. C

    Torque and Shear stress this time

    I'm :confused: I'm OK at electrical theory but mechanical just doesn't compute. I have the following question if anyone can help. Determine the external diameter of a tube needed to transmit a torque of 30KNm if it has an external diameter twice that of its internal diameter. The sheer...
  41. I

    Shear Stress due to Laminar flow

    Homework Statement Oil of Density 888kg/m^3 and viscosity 0.8Pa*s is flowing in a horizontal pipe of diameter 0.15m. The local flow velocity at the centerline is 10m/s. find the shear stress exerted by the oil on the wall of the pipe. Homework Equations tau = -eta*(dv/dy) The...
  42. S

    Determining Shear Stress on Bolts: A Guide

    So as you can see, the drawing I've attached shows two bolts through those 3 plates. There are the shown forces acting on the plates, and the maximum allowed shear stress is given to be 110 MPa. You're supposed to determine the minimum diameter required for the bolts. Also, the forces are...
  43. T

    Fluid Mechanics question (shear stress)

    The problem and solutions is here http://img206.imageshack.us/img206/6093/problem1rm4.th.png Isn't the shear stress for both the inner and outer negative? When i take the derivative i get negative. The derivative is basically ln ( 1/x) since the rest are just constants. Edit: I meant that...
  44. H

    Shear Stress Due to Angular Deceleration

    I have a rectangular block (propellar) with known width, thickness, legth, and uniform density. It is spinning at a constant angular velocity around its centroid. Then it is decelerated at a constant rate to rest. I want to find the relation between the radial distance from the centroid and...
  45. T

    Solve Shear Stress Eqn Using Singularities/Heaviside Function

    http://www.savefiles.net/d/ieiwoixnjfw.html Can anybody pls write for me the shear stress eqn using singularities or heaviside function in which i have attach the in the file above pls help thanx
  46. Cyrus

    Understanding Internal Moments in Mechanics of Materials

    In mechanics of materials we often look at elemental cubes or planar squares, and we write the normal stress and shear stress acting on the faces. Why are the internal moments acting on each face omited? When we cut a frame-machine, we include a shear, normal and moment, why not for the...
  47. I

    Calculating Shear Stress on Three Pin Connections | Homework Help

    On a homework assignment where a device contains three pin connections, we are asked to find the shear stress on two of the pins ( single shear) and a third which is experiencing double shear. For the single shear, I just took the force being applied at the pin connection and divided it by the...
  48. B

    Shear stress energy tensor in GR

    Where can I found an expressionfor the shear stress tensor in GR with some explanation about it? Thanks blue
  49. F

    Calculating Shear Stress on Parallel Plates at 15 deg C

    So I've got this velocity distribution for laminar flow between parallel plates. \frac{u}{u_{max}} = 1 - (\frac{2y}{h})^2 h is the distance between the plates with the origin placed midway between the plates. I'm assuming this is for water flowing at 15 deg C with u_{max} = 0.10 m/s and h...
  50. S

    Will this configuration reduce the shear stress on the main beam?

    Imagine a moderately long beam fixed at one end to a wall. Near the end of the beam, a very heavy weight is kept on top of the beam. At the same spot, two small beams are fixed under the main beam in a V shaped configuration such that the two beams form a sort of "press fit" i.e. they exert a...
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