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. D

    Loading reaction with shear and bending moment diagrams

    a motor vehicle has a wheel base of 3m. four posta ramp with two wheels each side. ramps front wheels have 6kn and rear 8kn. determine the reaction of the supports on the beam? vehicle is raised 2.25 m vertically this is done in 45 seconds calculate power of electric motor required use...
  2. J

    Shear Force and Bending Moment Diagram

    Homework Statement I have to find the Shear Force and Bending Moment diagrams for this problem. The lengths in the picture are 1.2m each and the peak force is 4kN/m and I calculated the support reactions to be: Ay=4,8kN (up) Ma= 5.76kN.m (anticlockwise) Homework Equations These are what I'm...
  3. E

    General loading, shear and moment relationships

    Hi everyone, I'm struggling to get my head around the convention of internal moments and shear forces of a loaded beam. I just can't seem to make any sense of why F is facing upwards and F+dF is facing downwards. It's driving me absolutely insane. Surely both of them will be facing upwards...
  4. D

    What Is the Shear Centre in Mechanics?

    A very tough question I'm trying to solve from my textbook as revision before exams. Thanks in advance. http://img509.imageshack.us/img509/1398/assignment.jpg
  5. 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...
  6. I

    Fracture and shear forces on a beam

    Homework Statement A 20.0 meter long uniform beam weighing 820 N rests on walls A and B, as shown in the figure a)Find the maximum weight of a person who can walk to the extreme end D without tipping the beam. b)Find the force that the wall A exert on the beam when the person is...
  7. 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...
  8. S

    Shear force and bending moment diagrams

    Hi. The question is: Draw the shear force and bending moment diagrams for the simply supported beam shown below. State the values of the greatest shear force and bending moment, and the bending moment at D. The diagram is attached as is my attempt at the answer. I hvae not stated the values of...
  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. B

    Meaning of Gravitaional Shear?

    Is there more than one meaning for "gravitational shear". It seems to refer to focusing of light beams. When I calculate the difference in velocity, of Earth's side closest and farthest from the sun: the difference is about one meter/second. Is that gravitational shear? Calculation...
  11. J

    Shear and moment diagram-Need help

    Shear and moment diagram--Need help! Homework Statement On the attached question: Fpy = 10 N Ffy = 10 N Mp = 0.15 Nm Mf = 0.45 Nm Homework Equations Draw the shear and moment diagrams. The Attempt at a Solution If you look at the answer I posted, I believe the shear...
  12. 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...
  13. J

    Cantilever beam bending moment and shear force

    Homework Statement im trying to write a program for a class but first i need the formulas for the bending moment and shear force. i have the displacement and angle of the cantilever beam under a point load: Y = -[(WX^2)/(6EI)][3a – x] for 0<x<a Y = -[(Wa^2)/(6EI)][3x – a] for a<x<L...
  14. 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...
  15. H

    Determine the shear modulus

    hi there, I am completely stuck on this question and was wondering if anyone could help me out here; ''a metal wire has a diameter of 1mm. when subjected to a tensile load of 200N the diameter is 0.99925. if the youngs modulus of the titanium is 110GPa, determine the shear modulus of the...
  16. L

    How do I determine the distribution of shear flow along a bent metal?

    Question We have a bent piece of metal subjected to a shear V; we're to sketch the distribution of shear flow along the leg AB. (see attached) What I've Done So Far I've tried to determine the second moment of inertia but have failed to produce the same results given in the hints...
  17. J

    Direct and shear stresses acting on the outer surface of a hollow shaft

    Homework Statement High strength steel hollow shaft which can withstand complex stresses generated by a combo of loading conditions. Tresca yield criterion is to be used as the basis of design with a factor of safety of 1.5. Shaft is of 50mm and 40mm outer and inner diameters and is subjected...
  18. 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...
  19. 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...
  20. N

    Solving Shear and Bending Moment for a Beam

    Homework Statement For the beam and loading, draw the shear and bending moment diagrams. Find the max and min abs vals of shear and bending moment. += pointing upwards, - = pointing downwards The beam is 1.4m long. Load A = -.54kN at x=0, Load B= pin support at x=.2m (Found to be +1.8kN)...
  21. 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
  22. 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...
  23. 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...
  24. 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...
  25. K

    Max Magnitude P for Pin Shear Stress < 80 MPa

    Homework Statement 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. The Attempt...
  26. Q

    Finding Axial and Shear Loads in Stiffened Shear Panels: Step-by-Step Guide"

    Hey guys. The question states:for the following beam, find the axial loads in the stiffening rods and the shear loads acting on each of the following edges. I basically worked out the shear for the panels by making an imaginary cut and letting internal momment equal to zero. Giving 70.7KN...
  27. 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...
  28. W

    Shear Interferometer to test collimation

    Hello everyone, I am trying to test the collimation of light emerging from an off-axis parabolic mirror. My mirror has a diameter of 0.5m or so. The focal length is about 5m. The light source I am using is a red laser focused at a pinhole. To test the collimation of this point source, I am...
  29. 7

    Brake caliper bracket mount - single shear bolt question

    I'm installing a set of front brake calipers on my track car, and the mounting brackets are made of aluminum (7075). What is the better mounting scenario - Thread the mounting bolts directly into the aluminum, or use a through hole mounting method with a proper bolt and nut combination? The...
  30. 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...
  31. S

    Shear modulus as a funtion of temperature

    Why does the shear modulus of a metal decrease with increasing temperature, on an atomic scale? Is it something to do with electrons gaining more energy allowing "layers" to slide around more easily??
  32. 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...
  33. J

    Detection of longitudinal and shear acoustic waves in solids

    I want to be able to differentiate between longitudinal(P) and Shear(S) waves in solids. Using one Acoustic emission (AE) senor placed 2 to 20 cm form a AE source e.g. a stress induced crack or pencil lead test, how can one detect both the P and S waves and determine what part of the receive...
  34. 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...
  35. 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...
  36. C

    Single Shear Bolt application, strength info required

    I have a suspension arm that I am rebuilding, the main reason is to make it adjustable in length, and the other is to replace the ball joint. The original equipment is a standard automotive ball joint, greased and the shaft is 1 piece with the ball. The new setup would use a 5/8 spherical...
  37. K

    Shear failure in threaded fasteners

    Hi How can i derive an equation to prove that a bolt won't fail due to shear stress if the length of thread engagement of the bolt with nut is equal to the diameter of the bolt. I got a formula, but i don't know whether it is useful in this case. A_s,e = pi*n*L_e*K_nmax*[1/2n +...
  38. C

    Diving Board Stress Points: Shear, Compressible, & Normal

    Hi, This is not homework but out of curiosity. On a diving board where are the points where stress is applied? Including shearing, compressible, and normal stress? Thanks
  39. H

    Shear deformation of diamond cubic lattice

    I'm doing MD calculations and I am having trouble providing a satisfactory explanation for the following to my profs. I am trying to calculate c44 for a diamond cubic crystal (Si), and to do that I have to calculate energy vs shear strain. For each value of the shear strain, I have to do...
  40. 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...
  41. L

    How Do You Solve for Reactions in Shear and Moment Diagrams?

    kindly help me with this problem. i can't solve for the reactions and draw the shear and moment diagrams. can you solve it for me? pls help me. thanks in advance.
  42. S

    I-beam Shear Force calculation

    So I'm taking a Strengths of Materials class right now (aka Mechanics of Materials) and my teacher absolutely sucks. We ask him questions but he doesn't have answers, so in turn I have no idea what is going on and why the book does what it does. Right now we're working with I-beams and some...
  43. 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...
  44. V

    Calculating Shear Strain in 3 Dimensions

    http://folk.ntnu.no/stoylen/strainrate/mathemathics/ This page shows how to find shear strain in three dimensions. I understand how they found the shear strains as x and y components from dividing the change in length by the original length. But from the line "From the figure, it is...
  45. S

    Reactions And bending moment and shear force diagrams

    Hi. I've been given this to calculate the support reactions but I'm not sure how to handle the increasing udl. And how would this be shown on a Bending moment and shear force diagram?? Also with non increasing Udl's when calculating the reaction is it best to change the udl to one force...
  46. R

    Beam and bolt shear force

    if a beam has a shear force limit of x and a bolt that is passing through the beam has a shear force limit of y and y < x would the maximum allowable shear force for the whole system become y?
  47. T

    Determining Maximum bending moment via shear force diagram

    Homework Statement http://imagebin.ca/img/uzuDsi.jpg and by maximum it means in magnitude Homework Equations I figured the best (easiest/quickest) method would be to draw the shear force diagram. When I originally did this problem I came up with equations for M and V by dividing...
  48. J

    Finding the Shear and Compressive Forces for a Running Rhino

    A black Rhinoceros weighs in at 1400 Kg and is running 11 m/s and has to stop in 1s or fall into a ravine. In order to accomplish this, the Rhino places his front legs directly out in front of him at a 60degree angle to the ground. What is the compressive and shear forces that the front legs...
  49. M

    What's the physical meaning of true shear strain and simple shear strain

    :smile:Hey guys. I just get some information about true shear strain and simple shear strain from the lecture of engineering mechanic material .And i just want to know the physical meaning of true shear strain and simple shear strain.As a result, i have found some reference books ,but i still...
  50. P

    Normal and shear stresses due to tension

    Homework Statement at a point in a stressed body, there are normal stresses of 95 MPa (tension) on a vertical plane and 125 MPa (tension) on a horizontal plane. determine the normal and shear stresses at this point on the inclined plane a-b (please see attachment) the solution should be...
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