Shear Definition and 621 Threads

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. S

    Finding point loads in shear force diagram

    Homework Statement I have a shear force diagram and I am asked to find the magnitudes of the point loads and where are they situated My question is, what am I looking for to find the point loads in a shear force diagram? Homework Equations The Attempt at a Solution
  2. N

    Shear Force Diagrams and Bending Moment Diagrams

    Homework Statement http://img189.imageshack.us/img189/9131/22465062cfdd4934b51d7f5.png Hopefully the image isn't too difficult to decipher... Basically a beam balanced on to pin jointed pivots with 6 metres in between each one. Homework Equations ƩFy = 0 ƩFx = 0 ƩMP = 0 The...
  3. J

    What Is the Shear Modulus of Dry Spaghetti?

    While doing an assignment on building with spaghetti I have come across the shear modulus. I need to find the shear modulus in order to use the torsion equation. Does anyone have a value for it by any chance?
  4. W

    Design Shear Pin for Gate Valve at 763 N.m Torque

    Background: To prevent too much torque having to be transmitted through the gearbox on a gate valve, a shear pin is to be fitted between the hand wheel and the gearbox spindle. When a certain torque is reached the pin should rupture and no torque transmitted. See attachment for reference...
  5. 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...
  6. 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...
  7. N

    [fluid dynamics] why are there no shear forces in a fluid at rest?

    It is said that the stress tensor \mathbf T for a fluid at rest is diagonal. Why is this? The fact that the fluid is at rest means there is no net force, i.e. the body and surface forces cancel each other: 0 = \mathbf F + \nabla \cdot \mathbf T, but from this condition is does not follow...
  8. S

    Shear Forces in Axially Loaded Beams: Understanding & Design

    Guys when beam like this subjected to axial load only,it will create shear forces if we take a section inclined at an angle and this make since ,however when we design we don't look at inclined sections ,we just draw axial force diagram and we notice that there is not shear diagram , so this...
  9. N

    How Do You Calculate Maximum Shear Stress in an I-Beam?

    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...
  10. B

    Shear Modulus value for Alu bronze

    Hello, Does anyone have the shear modulus value for Alu Bronze CW307G-R680 Cheers Ben
  11. 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...
  12. 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.
  13. S

    Incline shear blade formula to calculate cutting force

    Hi , I want to calculate force required to cut a 1200 mm -3.5 mm sheet using incline shear blade. Anyone know what formula we can use in this case when we are cutting metal on an blade angle of 1°. Thanks Please help.
  14. S

    Calculating Stresses due to Bending and Shear Stresses.

    Hi. I am solving some questions on transformations of stress and strain. I am getting stuck in one part of the question in all the problems. I am having difficulties to determine σx, σy, τxy at a certain point in the structure. Equations σ = P/A + Mc/I τ = Tc/J + VQ/It Some...
  15. T

    Determine the modulus of elasticity, Poisson's ratio and the shear modulus.

    Homework Statement A rod with a diameter of 1.00 in and length of 6.0 ft undergoes an axial deformation of 0.150 in when subjected to an axial force of 52.0 kip. The diameter of the rod decreases by 0.0007 in at this load. Determine the modulus of elasticity, Poisson's ratio and the shear...
  16. 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...
  17. J

    What Could Be Wrong with My Shear Force Diagram?

    I have drawn the following shear force diagram however it says it is wrong. Could somebody please explain to me what is wrong with it. The points in the diagram are 0 then -4 then 1.25 then 1.25, then back to 0.
  18. B

    Basic statics question on shear moment equation

    Sorry, I meant to title it "Basic statics question on bending moment equation." Oh well. Homework Statement Problem F7-7 http://www.scribd.com/doc/94480961/Chapter-7-Fundamental-Problems Homework Equations Summation of the forces in y, summation of the momentsThe Attempt at a Solution I...
  19. 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...
  20. W

    Solve Shear Center Problem: Find Length b in Cross Section

    Homework Statement The problem and cross section are attached. (#2 on the PDF) I have to find the length of b if the shear center is at point O. The horizontal lines that are not labeled are of length a.The Attempt at a Solution I took the Moment about O to get the equation for e. I have...
  21. E

    What is the Relationship Between Shear and Moment Diagrams in Simple Beams?

    Homework Statement Given the simple beam in the picture, draw the moment and shear diagram. point loads = qa distributed load : q on a length of 2a where M - is the moment, T - is the shear Homework Equations The Attempt at a Solution I draw the shear diagram, found all the ractions but I'm...
  22. 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...
  23. W

    Find Shear Centre of Cross Sections

    Please Help. Trying my best Homework Statement Locate the Shear Center of the Cross Sections Below: 1. http://tinypic.com/r/98xfd3/5 2. http://tinypic.com/r/15s4hfk/5 Homework Equations τ=VQ/IT The Attempt at a Solution 1. Moment = O Solve for Ve τ=VQ/IT...
  24. W

    Designing a shear pin for a shaft?

    Background: To prevent too much torque having to be transmitted through the gearbox on a gate valve, a shear pin is to be fitted between the hand wheel and the gearbox spindle. When a certain torque is reached the pin should rupture and no torque transmitted. See attachment for reference...
  25. 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.
  26. W

    What does a shear force diagram for a cantilever look like?

    I have the problem below, my question is what should the shear force diagram look like, I know its just a simple cantilever so does that mean the shear force diagram will be very rectangular looking?
  27. S

    Matlab Programming for Shear Force & Bending Moment Diagrams of a Beam

    Need help!Matlab programming for shear force and bending moment diagrams of a beam Homework Statement A program is required that will calculate the shear force and bending moment diagrams for a cantilevered beam of arbitrary length. The loads may be point loads or distributed loads,or a...
  28. T

    Glass-silicone-glass bonding (tension vs shear strength?)

    I'm attempting to repair a glass aquarium. Here is a drawing I made when I ordered it originally, the top brace has developed 2 small cracks. So I'd like to empty the tank, then remove the old brace, and replace it. But I'm trying to figure out what dimensions I need the new piece to be...
  29. T

    Is my Shear and Moment Diagram for a Beam Correct?

    Homework Statement I've attached my sfd and bmd for a beam, i just need someone to tell me if its right. the 15kN on the left side is a reaction force. Homework Equations The Attempt at a Solution i've attached my working
  30. 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...
  31. W

    Help : Determine shear modulus from tensile test

    Hi, i just did a unaxial tensile test for a done specimen. What i got is the stress-strain curve, and poison ratio. May i know how can i determine the shear modulus G12 ? I gt E1, E2 and V12 and V21.
  32. J

    Raychaudhuri equation for shear

    Following Wald I have nearly got the right answer out for time derivative for shear...what I am left with is showing that R_{cbad} V^c V^d + h_{ab} R_{cd} V^c V^d / 3 (which is obviously symmetric and trace-free) can be written as C_{cbad} V^c V^d + \tilde{R}_{ab} / 2 where \tilde{R}_{ab} is the...
  33. R

    Writing shear and moment equations for a simple beam problem?

    Homework Statement Analyze a simple beam writing out the integrals in mathcad. Length: 20ft (L) Distance to Reaction: 12ft (B) Distance to Distributed Load: 0ft Distributed Load: 273.33 lb/ft (w) Homework Equations V=r1-w(L-0)+r2=0 M=r1*L-w/2*(L-0)^2+r2*(L-B)=0...
  34. R

    Writing shear and moment equations for a simple beam problem?

    Im trying to generate a simple beam program in mathcad and am having trouble with the integrals. Attached is what I have so far:
  35. R

    Writing shear and moment equations for a simple beam problem?

    I am trying to write shear and moment equations in mathcad for a simple beam problem. Any help would be greatly appreciated. Thanks
  36. V

    Torsional shear stress for square bars

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

    Engineering mechanics problem about shear and moment in beams

    fresh out of ideas. Need help. 1) Solve for shear and moment at the given distances a) at midspan b) 5m from ROLLER "A" SO FAR I GOT THE REACTIONS AT POINT A AND B. 13KN AND 15.5KN RESPECTIVELY 2) Solve for shear and moment at the given distances a) 5m from ROLLER "A" b) 9m from ROLLER...
  38. M

    Analyzing Bolt Tension & Shear: A Mohr's Circle Approach

    How would I analize a bolt in tension and shear. Imagine an "L" bracket bolted in the configuration below "||" represents a bolt. There is a force "<--" at the top of the bracket. <--| ...| ...|_____||_ The bolt will see tension and shear. There will be tension in the y direction (Sigma...
  39. B

    Maximum Force Supported by Allowable Shear

    Homework Statement The simple pin-connected structure carries a concentrated load P as shown. The rigid bar supported by structure AB and by pin at C. The steel strut Ab has a cross sectional area of .25in2 and a yield strength of 60ksi. The diameter of the steel pin at C is 0.375in and the...
  40. D

    Finding Average Shear Strain in a flexible connection of rubber and steel

    Homework Statement [See Attachment] Given: Thickness, load, G Find:γ and horizontal displacement. Homework Equations τ=γG Angle change should be the shear strain. The Attempt at a Solution I tried plugging 800 into tau and the given value of G to get γ, but that isn't...
  41. C

    Shear valve Design. Wall thickness at break point.

    Hi. Situation: A pipe with a cut out so it will break when a shear force is exerted at the top of the pipe. The break point is at the cut out and the the force is impact in lbs. What is the wall thickness(or cross sectional area) at the cut out point? I know i may be missing variables...
  42. J

    Shear Modulus of Steel: Help Understanding Imperial Calcs

    I am reading through some calculations in a book that refer to an average shear modulus of steel (19700)... they give no units and it has completely thrown me off track while following through the calcs can anybody help? I know the unit is imperial and if i convert some of the other units...
  43. K

    Shear force and Bending moment of a Cantilever Rod

    1. I have a rod as pictured in the attachment. The rod is at a 45 degree angle. The load force is 115.118lbf The force is y-direction is 97.954lbf The Force at A is 5 inches from Force in the y-direction. The force at B is 10.5 inches from the Force in the y-direction I need to find...
  44. S

    Spacetime Fabric Shear Strength

    Inside a black hole singularily, the center is pulling spacetime to it, but because the spacetime fabric inside and outside the event horizon are connected... it doesn't shear or break. But during a Big Crunch, the entire spacetime of the universe would be sucked back into the singularity and...
  45. Femme_physics

    Mechanics of Materials - Shear and Compression

    Homework Statement http://img62.imageshack.us/img62/9815/mechmatt.jpg P = 235 kN d = 50mm (diameter of the axis) t = 20 mm t1 = 12 mm Safety coeffecient = 2.0 σy = 320 MPa Check the axis for strength (shear and compression) Homework Equations...
  46. nearc

    Relativistic effects on planetary shear [tidal forces]

    before i ask my question i want to review two points: 1. place a body like a moon or a planet near a black hole, as the body approaches the extreme gravity affects the body deferentially. 2. review the tidal forces on Jupiter's moon Io leading to volcanic/tectonic consequences. now take...
  47. W

    Shear and bending of a safety pin?

    Homework Statement Designing a safety pin for gate valve, picture is attached! Material: EN24 (λ=680MPa and E= 207 GPa) Total distance between supports = 98 mm! Force applied by gate is 64705 N! Question: Minimum diameter of pin for 1) No shearing , 2) a maximum deflection of 1 mm...
  48. M

    Shear Center of thing circular section

    Hi there, i have a problem trying to derive the equation for the shear centre of a thin walled slit circular section of uniform section. I have attached a photo of the question bellow. it is taken from mechanics of materials. I hope someone can help.
  49. 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...
  50. P

    The theory underlying the shear modulus of metals

    Hi, I'm trying to more understand the theory behind the shear modulus for various materials and have come across this text: http://www.scribd.com/doc/49116294/Electronic-Basis-of-the-Strength-of-Materials-Gilman-J-CUP-2003 The chapter on shear modulus starts on page 153 and there is a part...
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