Shear stress Definition and 39 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. curiousPep

    Hertzian contact pressure & shear stress

    Hello, I am trying to get some intuition about the direction of the shear stress caused by the Hertz contact pressure. Once I exert some pressure downwards on a spherical object the direction of the Hertz pressure will be upwards. However, this case some shear stress to exist, but I can't see...
  2. H

    How to calculate the maximum stress in a rib of a complex construction

    A Construction is stiffened by a bottemplate with welded ribs. A flange welded to the inletpipe is bolted at the botomplate. I want to simulate the current situation. Therfore I need a handcalculation of the stresses in the ribs of the constuction. The forces and moments are working in the worst...
  3. P

    Calculate the maximum vertical point force P that this beam can sustain

    A simply-supported steel beam with a vertical point force P is shown in Fig. 2(a). A cross-section of the beam, which is composed of two identical C-shaped members bolted back-to-back, is shown in Fig. 2(b). Both C-shaped members have a uniform thickness of 1 cm. Pairs of bolts are located at a...
  4. A

    Shear Force on Bolts mounting gearbox to engine

    Hello, I have designed a gearbox that bolts on to a fixed engine and fixed pump. It is completely supported by them. The total mass of the gearbox and the components attaching it to the engine and pump is 7.7kg. Its centre of mass is 0.167m along the x-axis and 0.09m along the z-axis from the...
  5. L

    Integral for the calculation of torque

    Hello, I found an integral to calculate the torque from the applied torsional shear stress, and I didn't find an explanation of how this integral is deviated. Where does it come from? Could someone explain? T = ∫τ⋅r⋅dA = ∫τ⋅2πr⋅dr, where T is the torque and τ the shear stress. Thanks a lot!
  6. A

    Shear Stress Distribution Along a Beam

    I know that shear stress in horizontal beams has a parabolic distribution, so that the max shear stress occurs at the neutral axis. I also understand that for a beam subject to a distributed load with supports at its ends, the magnitude of the shear force is highest at the left and right ends of...
  7. M

    Calculating Shear Force between a Moving Film and a Cylinder

    If I have a catheter covered in a thin sheathe (think a cylinder, covered by a thin plastic film), how should I go about calculating the shear force it takes to unsheathe the catheter from the sheath (no torque here, just the catheter moving in and out)? I've thought about strain gauges (but...
  8. vivek_salman

    Shearing / Cutting Force - Rubber bale

    I have been assigned by my tutor to design a hydraulic guillotine (rubber bale cutter). After designing its features of the hydraulic, cutting blade etc. I tried to calculate the force needed of cutting a piece of Rubber bale (Natural as reference) having an ultimate tensile strength of 30 MPa...
  9. naji0044

    Find an expression for the shear stress of this figure

    Summary: I have trouble to define the y distance in my coordinatesystem I need to find an expression for the shear stress on the I figure, where the green parabola illustrates the function. I made a cut, where I defined the length from the start of figure I to the cut as z1. The formula for...
  10. W

    Deformation under eccentric shear stress

    Hi, Starting with an example to clarify what I am looking for. Assume an extension force applied on a distance from the centroid/neutral axis of a body: see attached, please. As result, bending force besides the tensile force will be generated in that body as presented in section A-A in the...
  11. EastWindBreaks

    Where did torsional shear stress in the x-y plane came from?

    Homework Statement Homework Equations maximum torsional shear stress = (Torque*radius)/polar moment of inertia The Attempt at a Solution I am lost on equation(4-14), I looked through the textbook but didn't find a derivation.
  12. E

    Fluid Mechanics air velocity

    Homework Statement If the velocity v of the air in a boundary layer having a dynamic viscosity of 18x10-6 kg/ms is given in terms of the distance y from the surface by v = ay + by2 where a and b are constants, calculate the surface shear stress if at 1.5 mm from the surface the velocity is 75...
  13. G

    Mechanics of Materials -- inclined ladder

    Homework Statement [/B] The inclined ladder AB supports a house painter (85 kg) at C and the self weight (q = 40 N/m) of the ladder itself. Each ladder rail (tr = 4 mm) is supported by a shoe (ts = 5 mm) which is attached to the ladder rail by a bolt of diameter dp =8 mm. 1) Find support...
  14. D

    Material Thickness and Bolt Shear Strength

    I am wondering why the material thickness is not factored into calculating bolt shear strength in a joint. I know that it is used when calculating the strength of the material itself and its susceptibility to deformation and tear out but why not the bolt? When you cut a piece of cheese you use...
  15. Sean Trainor

    A How do i calculate shear stress on a Key and a bolt?

    I have been attempting the Solidworks Simulation certification but keep just missing out by a few marks and I believe these questions are the main ones which are killing me. I haven't done these calculations in years and I've been lost with how to do the hand calc's. Any help would be appreciated.
  16. D

    Shear Stress, Area of Projection

    I am learning about shearing stress, and I am a little confused about the area of projection mentioned in my book. When it introduces it, it shows a plate with a rivet through it. The plate is of thickness t, and the diameter of the rivet, d. It shows the plate and the rivet cut in half by a...
  17. arpon

    I Isn't the force calculated twice?

    Isn't the force calculated twice here? For example, the force along AB is at first calculated for the resultant force along OB, then for the resultant force along AC. I think the compression and tensile stress should be ##\frac{F}{2a}##.
  18. Ravi Singh choudhary

    Hydrostatic stress on cube placed in deep sea

    Ques: If one metal cube placed in deep sea where will be maximum shear stress in cube? What I know: In hydrostatic condition there would be no shear stress, that means on any face of cube there would be not shear stress at all. In case of two dimensional stress; if we have same...
  19. Jonski

    Angle of twist

    Homework Statement What is the angle of twist at gear A relative to the motor? (Round to the closest 6th decimal) Homework Equations I know to find the angle its θ = ∑ (TL/JG) but it can also be θ = Lτ/Gr The Attempt at a Solution So i used both these equations, and I got...
  20. C

    Stress tensor for non-newtonian fluid

    How does one setup the stress tensor for a non-Newtonian fluid? I know that for any fluid the normals should be the pressure and for a power law fluid the shear stress in the direction of flow is related by K(du/dy)^n. Does this mean that all other components are 0 for a symmetric pipe or...
  21. P

    Shear stress in a thin profile

    Homework Statement Hello guys, I have to calculate the shear stress in this figure. The sizes are: a = 250mm, b = 100mm, c = 250mm, d = 150mm and t = 10mm. The shear force working on it is Vcd = 39802.01 N (calculated before) The center of the construction Nc is at 157.95 mm (from the...
  22. G

    Experimental data modelling off-road vehicle travel

    Hi everyone, I am looking for any available experimental data which models off-road vehicle travel in clay and measures tyre and soil parameters. Parameters I am looking for include pull, torque, shear strength of the soil, sinkage, slip and deflection. If anyone knows of any available raw data...
  23. G

    Shear Stress in Blood Vessel

    Homework Statement Blood supply to the heart occurs through coronary arteries. Consider one of the arteries to be 2.5 mm in diameter and 3 cm in length. The average velocity of blood flow through that artery is 1.5 cm/s. Assuming the density of blood to be 1.056 g/cc and viscosity to be 3 cP...
  24. 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...
  25. 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...
  26. 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...
  27. 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...
  28. 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...
  29. 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...
  30. 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...
  31. 3

    Hooke's law in tensor form

    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...
  32. 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...
  33. 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...
  34. J

    Tensile Lap-Shear Testing

    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...
  35. 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...
  36. 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)...
  37. R

    Shear and bending moment

    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...
  38. 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...
  39. 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...