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.
How do two light beams combine at a shear angle?
Two electromagnetic beams cross at a shear angle. They have equal phase, intensity and polarization.
The angle is shear enough, so that in region in which they intersect, there is less than a quarter wave difference in phase over the...
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...
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...
Hi all,
I was just wondering if someone could confirm that my answer to the below question is correct. The point where the question asks you to find the shear stress is at 2m (n). However, I don't believe this value needs to be included in the calculation anywhere?
Homework Statement
Diffusion coefficient (D) of 100 nm particles ( density = 1050 kg/m3) in a viscous solvent at 25 C is 2.2 x 10-13 m3/s
What is the average shear rate at the particle surface?
Homework Equations
D = kT/ 6πηa (1)
where k is Boltzman constant, T = temperature, ηsusp =...
Hi all, my professor has hinted at proposing a question of this sort to us for a shear and bending moment diagram. Now while I am comfortable with having [either] a uniformly distributed load or a varying one, I'm not sure how to deal with both. I can't seem to find anything in my textbook to...
Homework Statement
Finding the critical value of shear stress at the junction and at the neutral axis
Homework Equations
stress max = (Bending moment x height from neutral axis)/Moment of inertia
Shear stress = Shear force/area
The Attempt at a Solution
I am able to do the first 2 parts but...
Snow blower Stanley SS30
Type :Dual Stage
Maximum RPM: 3600
Torque : 21.56 Nm
Impeller Diameter :16" inch
Auger Diameter:16" inch
CC: 302
Tire Size : 16" * 6.5
I do not know the gear ratio : if assume its 12:1
Gear output torque will be 258.72 Nm
Homework Equations
Assume the Shaft diameter =...
Dear Colleagues,
This problem causes me a headache - any suggestions?
I have a truncated cone under bending on two axes.
I take a section where I have two acting side forces - Qx & Qy
I want to find shear stresses acting in the point A which is on a circumstance of the section 45° between axes...
Homework Statement
For a crystalline metal material
- Elastic modulus E
- Poisson ratio v
- A table with test data of stresses vs. total strains, from a monotonic uniaxial tension test, which generates a stress-strain curve.
How would you use this data to find the corresponding pure shear...
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...
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...
Can someone help me with determining the free body force diagram, and hopefully I can go on from there.
Homework Equations
M = F.dI found T = 500N
The answers are shear force = -62.5N , Moment = 64.4 Nm , Tension = 500N
Homework Statement
a viscous fluid with viscosity η flows through a circular vessel of length L and radius R under a pressure difference of P. Assuming the flow is laminar, calculate:
a)the force on the walls of the vessel.
b)the net force on the vessel.
Homework Equations
Hagen-Poiseuille...
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...
It's about shear stress and strain. We are talking about Newtonian fluids, a situation where we are lubricating a rotating shaft with oil.
I cannot understand what we are measuring that we use as the strain.
SOLIDS. As far as I know we can say: Stress (F/A) = G x (Δ l / l)
Where G is shear...
Homework Statement
Hi,
I need some help analysing this frame. First of all i bellive its hard, if not impossible, to get as detailed results by hand calculations as my softwear CSI Sap2000. Becourse of shear and axial deformation.
Is it possible to obtain the stiffness matrix of this frame at...
Hello lol first post . so I've done an experiment in determining the modulus of rigidity for a bar of an unknown material (torsion experiment). I have been asked to analyse the results, which I still have no idea what that means and find the material with the G value that i have. I've been...
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...
Hello Forum,
I have some conceptual doubts about shear viscosity and would like some help if possible. In general, viscosity depends both on temperature and on shear forces (more strongly on shear forces).
"Shear viscosity" is the viscosity that a molten plastic assumes when the molten fluid...
Homework Statement
Hi Everyone,
I am going to be doing an experiment soon using strain gauges on a beam and I will have to, among other things, calculate the direction of the maximum shear strain with respect to the axis of the beam. I am trying to find the correct equation to use.
Homework...
Homework Statement
jan 2012 q3.jpg
I've solved everything up to part d). I generally struggle with questions on bolts and I'm really not sure how to tackle this problem.
Homework Equations
τ = Tr/J, τ = 200MPa, T=1kNm
The Attempt at a Solution
I worked out the separation of the bolts (I...
The situation I am looking at involves a round beam that goes through two rigid round holes (top beam in the image). The holes are meant to fix the beam. The beam length is between 1m and 2m and the diameter is less than 2 cm. If the beam was attached at the end with only one holes fixing it I...
Hi, question and solution attached.
I'm having trouble converting the second equation in 2 (b) to the corresponding bending moment equation. I have worked out everything else, I'm just unsure how the '-1562.5N' part is calculated.
http://snag.gy/Uqrel.jpg
Help is much appreciated, thanks!
< Mentor Note -- thread moved to HH from the technical engineering forums, so no HH Template is shown >
Hi, I'm having problems with the shear force question attached. I've attached the solution as well.
I'm looking at 2. (b), I have the 0 > x > 3 bit, but I'm struggling with the 3 > x > 4...
I'm attempting to figure out the torque required for a twist drill bit to shear through a material. I have no idea if this is even remotely correct but this is the process I used.
Ultimate shear strength = Force/Area
Therefore Force = USS x Area
The USS of the material = 360 N/mm^2
I...
Homework Statement
http://postimg.org/image/9va37id55/
The question is to find the shear stress at the points A, B and C. The solution uses the sectioning planes aa, bb and cc to do so.
For example, at C, how should I know whether to use a horizontal or vertical sectioning plane. Also, how...
Here is the sketch of the tv mount. http://1drv.ms/1G4yW6W
The known values to me are the diameter of the rod (6mm), the length of the rod (600mm), the mass of the TV= 8.7kg and that the tv is supposed to move 600mm in 5 secs. Is there any information that I am missing in order to calculate the...
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...
Homework Statement
A material which has a Young’s modulus of elasticity of 250 GN m–2 and
a poisons ratio of 0.32, calculate:
(a) the bulk modulus of the material
(b) the shear modulus of the material.
Homework Equations
E=3(1−2ν)K
3. The Attempt at a Solution
a)
E = 3(1−2ν)K
K = E /...
1. Determine average shear stress. Question attached2. Shear Stress = F/A , Sum of Forces and Moments = 0, Trig3. Attempt attached.
Having a hard time determining reaction at pins. I worked out that the opposite side is 4.5m. I assume the next step is to determine reaction then apply Shear...
Hi everyone here is the question I'm having trouble with. included is my attempt and the question.
1. The Reactions at A (Assuming the boom weight is negligible)
2. The shear force and bending moment along the boom length and indicate the point of maximum bending moment.
3. The maimum bending...
Problem:
I do not know how to approach this problem. For a beam which has two reactions, the shear stress is equivalent to the reaction.
I suppose that the stress is calculated using moment some how. But how?
For seeing if the beam is allowable stress design compliant, you can use the...
Homework Statement
I've been working on this question for a while but can't get anywhere.
I was able to calculate Force BD and Force CE
Now I am not sure how they calculated the area of section BD
the math isn't making much sense to me
Homework Equations
σ = P / A
A= π r2
The Attempt at a...
Homework Statement
What force is required to punch a 20-mm-diameter hole in a plate that is 25 mm thick? The shear strength is 350 MN/m2.
Homework Equations
σ = V / A
The Attempt at a Solution
The first thing I did was rearrange the formula to isolate for V.
I got the area which (A=πr2) gave...
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)...
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...
Homework Statement
W= 3kip/ft.
Find the shear force and moment at C.
Homework EquationsThe Attempt at a Solution
Skipping some initial steps, I found the reactions to be Ax=0 and Ay=9
These are known to be correct.
Now, slicing the beam from a to c.
I get Ay=9.
Now I take 3(1/2)6= 9 from...
Hi :), I need to calculate the shear stress applied between 2 plates and I don't remember how to take the thickness of the plates into account, --So basically I will be grateful if somebody could write the equillibrium for shearing stress between 2 plates (1 plate is applying force on the other...
Hi there,
I have created lots of shear force and bending moment diagrams for simply supported beams. I have used the maximum value on the bending mement diagram for bending and stress equations, but I have never found any real use for the shear force diagram. Yes they tell you the distribution...
I'm trying to understand a problem found on Mechanics of Materials and did not completely understood the problem. I can solve problems like this but I still don't know why I'm solving this way.
It is a simple question: Why the shearing force V does not cause shear stress (\tau_2) on the point A...
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...
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...
http://postimg.org/image/onxjqc26l/
I have found the shear stress of the inner cylinder to be 405 Pa like in the solution
but I am having trouble visualizing the total moment of this stress about the center line.
I was wondering if someone could explain where that d(theta) in the moment...
This is not a textbook problem, instead it is how to understand a common diagram. The diagram occurs in the wiki entry for shear stress
http://en.wikipedia.org/wiki/Shear_stress
It shows a 2D square, anchored on the bottom side, and with positive (rightward) shear stress applied to the...
Homework Statement
(a) Calculate the maximum bending moment
(b) Calculate the maximum stress in the beam
(c) At the point of maximum stress sketch a graph of the stress
distribution through the thickness of the beam, indicating which are
tensile and compressive stresses.
(d) Determine the...
The state of plane-stress at a point is given by σx = -200 MPa, σy = 100 MPa, σxy = 100 MPa
The Maximum shear stress (in MPa) is:
A) 111.8
B) 150.1
C) 180.3
D) 223.6
Explain Procedure also with Answer.
Attempt: i already used Max Shear Stress τ = QV/ib, then also answer is not matching...
What is the meaning of...
1. Governing differential equations obtained are consistent with the assumed displacement field (If for a particular theory, governing differential equations are derived using variational approach).
2. Obtained boundary conditions are consistent with the governing...
I have been looking into shear thickening fluids and how they are used with Kevlar for bullet proof vests. I am considering alternative uses but have limited knowledge on the subject. I would like to create a rigid solid that becomes harder and less flexible when a large force is suddenly...