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. F

    Maximum shear stress in Mohr's circle

    Homework Statement I am not sure how to get the maximum shear force in mohr's circle [/B] Homework EquationsThe Attempt at a Solution To get the ##\theta_s max ## , we have to 'turn' the B to ##\tau_{max}## , right ? So , it should be like this ( in the figure , orange arrow) ? Am i right ...
  2. F

    Shear stress at different points of beam

    Homework Statement i'm not sure how to calculate the shear stress at point F and point G . I know that shear stress has formula of $$ \tau = VQ/It $$ The maximum shear force that i calculated earlier is V = 205kN , Ixx = 2.1x10^-4 for Q at $$\tau$$ at F , i have...
  3. F

    Direction of Shear Stress at the Edge: Why Do the Top and Front Planes Meet?

    Homework Statement In the notes , i noticed that the shear stress on the top plane and the front plane will 'meet together' at the edge . I don't understand it why the direction is like that . Homework EquationsThe Attempt at a Solution Is it possible for both the shear stress to become like...
  4. F

    Variation of shear stress at the rectangle cross section

    Homework Statement In the notes , I don't understand why the shear stress is maximum at the edge ( circle part) . Homework EquationsThe Attempt at a Solution I think it's wrong . Refer to another diagram attached , i found that the shear stress varies parabolically across the vertical length...
  5. F

    Shear Stress: Examining the Discrepancy

    Homework Statement In the notes, the author stated that the shear stress is constant over the bottom face of the segment ... why in figure 7-4 , we can see that the shear stress varies ? Homework EquationsThe Attempt at a Solution Which is correct ? The red circled part or the figure ? [/B]
  6. F

    Shear stress at different points

    Homework Statement In this notes , i don't understand how the Q=(Ay) of the is considered ... Homework EquationsThe Attempt at a Solution I think the both Q at part C and part B should be = (60)(15)(mm^2) ... i have redrawn the structure , i am not sure whether it is correct or not... From...
  7. F

    Shear stress at centroid vs other point

    [ Mod Note: moving this to Physics H/W ] Homework Statement for this question , I'm having problem with the shear stress at point E and shear stress at centorid. normally , the shear stress at the centoid will be maximum . But , in my working , I found that the shear stress at the centroid is...
  8. F

    Shear stress at particular point in beam

    Homework Statement In the example , I suspect the selected A (area) is wrong... From the notes , A' is the area of top (or bottom ) portion of the member cross sectional area . But , in the example , we could see that the selected area is located to the right of the point where shear stress is...
  9. C

    Why Is the Larger Shear Force Value Used in Beam Stress Calculations?

    Homework Statement In this notes , why the shear force used is the 19.5kN ? Why not 6.5kN ? From what i know , the formula of shear stress is tau = VQ/ It , where V is the shear force ... There are two values of V in this question , why the larger one (19.5kN ) is chosen ?Homework EquationsThe...
  10. F

    Moment of inertia in shear stress formula

    Homework Statement In the first photo , i was told that the I represent the moment of inertia about the neutral axis ... But , in the 2nd photo , i found that the author calculate the moment of inertia about the x-axis (parallel to neutral axis ) and y -axis ( perpendicular to neutral axis) ...
  11. 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}##.
  12. MaxKang

    How is shear stress related to shear rate in aerodynamic applications?

    Hello everyone, I came across this in J. Anderson's book "Fundamentals of Aerodynamics". "For the type of gases and liquids of interest in aerodynamic applications, the value of the shear stress at a point on a streamline is proportional to the spatial rate of change of velocity normal to the...
  13. C

    Shear stress acting on an element

    Homework Statement When an element of material is subjected to pure shear stress , equlibrium requires that equal shear stress must be developed on four faces of an element . Homework EquationsThe Attempt at a Solution I can't understand the statement . I assume the 'element ' is cubic ...
  14. Sean Trainor

    What is shear stress on the Key

    Hi guys, I'm trying to work out the following: Assume uniform shear stress distribution across "Key" width. What is the shear stress (psi) on the "Key" at the interface with the "Shaft"? Torque (in-lb) = 4959 Shaft diameter (in) = 2 Key width/height (in) = 0.3 Key length (in) = 2
  15. C

    Moment of inertia in shear stress

    Homework Statement In the question , the author calculated the Ixx and Iyy , but he used the greater value (Ixx) in the calculation to calculate the shear stress , why did he do so ? why the greater value is used ? Homework EquationsThe Attempt at a Solution
  16. C

    Allowable shear stress in bending

    Homework Statement I think the notes is wrong . in the notes , it's given that σ allowable > Mmax / Ze Homework EquationsThe Attempt at a Solution i think it should be σ allowable > Mmax < Ze , am i right ? How could the σ allowable > Mmax / Ze ? If σ allowable > Mmax / Ze , the beam will...
  17. C

    Sign convention of shear stress

    Homework Statement In the in the first image , it's shown that the shear stresses has positive sign, whereas in the second image e (circled blue part) has different sign convention,which is positive and negative, which is correct? Homework EquationsThe Attempt at a Solution IMO, the second...
  18. C

    Shear stress at boundary of wall = 0

    Homework Statement in the formula of shear stress τ = (V)(Q) / It , Q=Ay = first moment of inertia of area, the area can be located above(or bottom) at the point of interest) when the chosen point is at the wall(boundary) , why shear stress = 0? Homework EquationsThe Attempt at a Solution When...
  19. C

    Angle between principal stress and shear stress

    Homework Statement I know that an element that is subjected to max shear stress is 45 degree away from position of an element that is subjected to principal stress.I couldn't understand why the θ s= θ p -45 degree? Cant it be θ s= θ p +45 degree ? Homework EquationsThe Attempt at a Solution...
  20. C

    Shear stress at different points

    Homework Statement in the formula of shear stress, t is the width of member's cross sectional area calculated about neutral axis. for τc , why t is 6.4 ? Why not 102.1 ? second question, why we have to consider that specific area? Cant we consider the (red) area? Homework EquationsThe Attempt...
  21. C

    Calculating Shear Stress: Choosing Between Ixx and Iyy for Point P

    Homework Statement i know that to calculate the shear stress, formula is τ= (V)(Q)/ (I)(t) So, why the author choose to use Ixx, but not Iyy for shear stress at P? Homework EquationsThe Attempt at a Solution IMO, we should done the question in 2 ways, which are by using Ixx and Iyy...
  22. C

    Why is the direction of shear stress important in pure shear stress?

    Homework Statement In my book, I was told that when an element is subjected to pure shear stress, equalibrium required that equal shear stress must be developed on four sides of the element...these stresses must be direct toward or away from opposite corners of element.. Homework EquationsThe...
  23. F

    Shear Stress in Beams: Proof & Explanation

    Homework Statement where V = total shear force at the location in question; Q = statical moment of area; t = thickness in the material perpendicular to the shear; I = Moment of Inertia of the entire cross sectional area. based on this formula , the shear stress is max at the neutral axis of...
  24. C

    Calculating Shear Stress in Beams: V and A Formula

    Homework Statement in the old thread , i was told that The formula for calculating the shear stress is a beam is ##τ = \frac{V ⋅ Q}{I ⋅ t}## τ - shear stress V - shear force Q - first moment of area above the location where the shear stress is calculated. I - second moment of area for the...
  25. C

    Calculating Shear Stress: Understanding the Role of Y in Shear Force Diagrams

    Homework Statement Refer to the second photo , Q= Ay Does the author mean point P is at the center of the region (62.5mm x 100mm) ?The figure is not labelled well i am confused Homework EquationsThe Attempt at a Solution In the notes , I was told that y is the location of the shear stress is...
  26. C

    Angle of shear stress vs normal stress

    Homework Statement why the angle of shear stress ( θs) is given by θp - 45 ?? Homework EquationsThe Attempt at a Solution the difference in angle of shear stress and normal stress is90 degree , am i right? why it's negative 45 degree? is it wrong?
  27. F

    Shear stress and normal stress

    Homework Statement why the shear stress is maximum at the center ? while the normal stress is maximum at the boundary ? Homework EquationsThe Attempt at a Solution why shouldn't the shear stresss maximum at the boundary ? this is because shear stress is to pull the 2 surface apart [/B]
  28. H

    Shear stress on surface of a bar

    Homework Statement I want to understand why in noncicular members in torsion book tells me that surface of a member is free and so no shearing stresses there. This is from wikipedia for shafts: Note that the highest shear stress occurs on the surface of the shaft, where the radius is...
  29. 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...
  30. I

    Calculating the maximum shear stress in a shaft

    Homework Statement Homework Equations Torque = Force x Distance Shear stress = Force/Area 3. The Attempt at a Solution I know how to do this question as I've seen the mark scheme. However, initially I did it wrong. What I did was as follows: Torque = Force x Distance therefore...
  31. W

    Shear Stress on sleeve with grooves

    1. There is a valve body in which there is a butterfly plate. A shaft goes through the butterfly plate allowing it to open and close. A sleeve is inserted into the I.D. of the butterfly plate that the shaft goes through. The I.D. of the hole (butterfly plate) that the sleeve is inserted is is...
  32. Jonski

    Finding Angle of Twist at Gear A Relative to Motor

    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...
  33. P

    Bending shear stress distribution

    I modeled a simple cantilever rectangular beam in Patran of (L,W,H = 100, 6, 4) with Hexa8 elements and applied a vertical shear load (upwards) of some magnitude at the free end. Ran in Nastran and plotted the vertical shear stress distribution on a cross-section in middle of length (in order...
  34. OKaraali

    Max Shear Stress in Thin Cylinder: Issues & Applied Pressure

    I am having some trouble finding out the Maximum shear stress, I worked out my hoop stress and axial stress for the thin cylinder theory but the radial stress i am having issues with. If the applied pressure is only internal then would the radial stress be 0.
  35. F

    Shear Stress Formula: Calculating Tau Correctly

    how to get the formula of shear stress (tau) ? i got (-dp/ds -ydz/ds )(r/2) instead of -d(p+yz)/ ds (r/2) as in the book , if it's d(p+yz)/ ds (r/2) m , i would get (-dp/ds -ydz/ds-z(dy/ds) )(r/2) ,, right ? The Attempt at a Solution P/s : I'm concerned about the derivation part , so i didnt...
  36. 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...
  37. M

    Schmid Tensor / Resolved Shear Stress question

    Homework Statement Calculate the magnitude of the resolved shear stress on the ## (112)## plane in the ##[11\bar{1}] ##direction in a bcc crystal. Homework Equations Tried to use: ## t^{\alpha} = \frac{1}{2} \sigma_{ij} (m_{i} n_{j} + m_{i} n_{j}) ## where m is the direction and n is the...
  38. C

    Maximum bending Moment and Maximum Shear Stress Question

    Is the maximum bending moment and maximum shear stress an absolute value? For example, when drawing out a bending moment diagram say if I get -400 kNm at one point and 300 kNm at a different point. If these values are the maximum/minimum points on my diagram would 400 kNm be considered as a...
  39. F

    Shear stress for contracting pipe

    Hi, I would like some guidance about a piping problem I have. I would like to know how to solve this shear stress equation for a narrowing pipe. This equation gives the shear stress on the edges of a cylindrical piece of fluid having radius r and length L within the pipe. I would like to know...
  40. H

    Calculating Shear Stress: Solving for μ = ρv in 8-41 Equation

    Homework Statement how to make μ = ρ v as in 8-41 ?Homework EquationsThe Attempt at a Solution since μ = viscocity , it has unit =( kgms^-2)s m^-2 , = kg(m^-1)(s^-1) ρ v = (kgm^-3)(ms^-1 ) = kg(m^-2)(s^-1) , the unit for LHS and RHS are not the same , can someone help pls ?
  41. G

    Understanding the Calculation for Shear Stress of Water

    Homework Statement for the second photo , why the dy is 0.005/2 ? why not 0.005 ? Homework EquationsThe Attempt at a Solution
  42. S

    Shear Stress in Beams - Full Working, getting wrong

    Hi, I'm doing question (c)(ii) in the image below, full working is provided below: (c)(i) is 150kPa. I = bh^3/12 - 2 * bh^3/12 (0.25 * 0.256^3)/12 - (2* (0.119 * 0.22^3)/12) = 1.3831 x 10^-4 m^4 Q = y*A = 0.119 * 0.018 * 0.250 = 5.355 x 10^-4 m^3 shear force = (150000 * 5.355 x...
  43. loststudent123

    Designing Shafts to Withstand Shear Stress

    Homework Statement A rule often used in shaft design states that the angle of twist shall not exceed 1° on a length equal to 20 diameters. What stress in the material does this imply if the modulus of rigidity is equal to 80 × 103 N/mm2 ? Homework Equations T/J=Gθ/L=τ/r J=π?32(D^4-d^4)[/B]...
  44. loststudent123

    Find Shear Stress in Shaft Design | Modulus of Rigidity 80kN/mm2

    A rule often used in shaft design states that the angle of twist shall not exceed 1 on a length equal to 20 diameters. What stress in the material does this imply if the modulus of rigidity is equal to 80 × 103 N/mm2 ? was wondering if anybody had an insight on how to do this ? have tried a...
  45. S

    Calculating Shear Stress for Cylinder w/Grooves & Dogs

    Hi there I've got a task where i need to use manual calculations with this setup (see attach.) there is a cylinder with two internal grooves (yellow part). 5 Dogs are equally spaced (72deg.) inside that cylinder. They are being pushed by the Force against the grooves in the cylinder. What...
  46. 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...
  47. S

    What determines the sign/direction of shear stress?

    What determines the sign/direction of shear stress arrows in Mohr's circle? Please see pictures below. Why are the shear stress arrows drawn the way it is and not in the opposite directions?
  48. 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...
  49. G

    How Do You Calculate Shear Stress in a Coronary Artery?

    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...
  50. nick miller

    Finding the average shear stress

    Homework Statement Find the shear stress alone the cylindrical area of the plate, and the average shear stress in the bolt head along the cylindrical area. the plate is 30 mm thick bolt head is 8 mm thick bolt head diameter is 18mm bolt shank diameter is 7 mm shank has 8 kn along it...
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