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.
1)When we are asked to calculate the shear stress at AB should we consider the width as T or as 2T?
2)And when applying t=vq/it what sections should we take and is the value we found located on the bottom of the area?(I'm not talking about this beam but any beam in general)
3)And finally given...
Material: PVC
E-modulus: 1300 N/mm^2
Poisson's ratio: 0.35
Applied shear force: 100 N
Resisting area: 28 mm^2
Shear modulus: E = 2G(1+v) --> G = E/(2(1+v)) = 1300/(2(1+0.35) = 481 N/mm^2
Does this mean that a force which can be applied to the area without fracturing is 481 N/mm^2 * 28 mm^2?
I...
Homework Statement
Hi all,
For my CW I have a question on a simple beam, ABCD and its cross-section. Please see attachment for figures
The material of the beam is steel, where modulus of elasticity, E = 210 GN/m^2
I have been asked to calculate the principle stresses and the maximum shear...
Let the second invariant of the stress deviator be expressed in terms of its principal values, that is, by
$$
\text{\MakeUppercase{\romannumeral 2}}_{\text{S}} = \text{S}_{\text{\MakeUppercase{\romannumeral 1}}}\text{S}_{\text{\MakeUppercase{\romannumeral 2}}} +...
The state of stress at point ##\mathbf{P}## is given in ksi with respect to axes ##P_{x_1x_2x_3}## by the matrix
$$
[t_{ij}] = \begin{bmatrix}
1 & 0 & 2\\
0 & 1 & 0\\
2 & 0 & -2
\end{bmatrix}.
$$
Determine
(1)the principal stress value and principal stress direction at ##\mathbf{P}##...
Hi all,
I'm having problems with visualising shearforce for a body.Let us take a rectangular prism and fix one of its ends.Let the other end be subjected to a tensile force T Newtons.The normal stress acting on the cross section is the tensile force /area of cross section perpendicular to...
Homework Statement
The depicted construct is made of a rod with a square cross-section and two plates. The plates are jointed together through 4 similar rivets. The square rod is welded to the wall at "B" and to the plates at the other end through peripheral corner welds.
On the board acts an...
I have completed bending moment and shear force diagrams and have a question asking for the mean shear stress. I know this is worked out using the formula: tau = F/A.
I am unsure of what force to use is it the max shear force on my diagram? My other thought is that it could be an avergae of...
Hey guys,
I am trying to conceptualize as to why shear stress in a vessel is highest at the wall of the vessel and why it is at a minimum at the center.
First let me see if I actually understand shear stress - In a vessel with blood flow, it is the force required to overcome the...
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...
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...
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...
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...
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...
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...
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...
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.
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...
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...
Homework Statement
View image for all details
Homework Equations
tao = V/A
The Attempt at a Solution
I went ahead and solved the force at BC and the x and y components at A, but I feel as though my solutions are incorrect. At BC I have F = 825 kN (up and to the left), A_x = 714.5...
hi my name is adil from Pakistan.what is a reason to produce shear stress in shaft,can normal stresses is produced in shaft&where is max shear stress is apply in solid shaft at end or center.
Homework Statement
A flange coupling is use to transmit torque of 1500 Nm between two shafts. The coupling has four 8mm dia. bolts equally spaced on a PCD of 175mm. Determine the shear stress on the bolts
Homework Equations
fs=\frac{F}{A}
The Attempt at a Solution
Back of the...
Homework Statement
I'm looking at some problems and solutions to them, and when they calculate shear stress instead of having the area of the thing be pi*r^2, there is usually a (pi/4)*r^2.
Homework Equations
Shear Stress = V/A
The Attempt at a Solution
I don't understand where...
Homework Statement
A layer of viscous incompressible fluid of thickness H lies on top of a solid wall that oscillates simple harmonically w/ angular frequency Ω. u(wall)=Acos(Ωt). Ignore the motion of air above the fluid layer and find the shear stress at the wall. (Shear stress on free...
Stress's for circular bar?
Calculate the maximum normal and shearing stresses
of a circular bar with diameter 0.05m and axial compression load of 150000 N ..
I know for stress = Force / Area, how do you solve for shear stress?
Homework Statement
Homework Equations
\sigma = F/A
The Attempt at a Solution
I understand that I should evaluate the different forms of stress to find different values of the ultimate load. I also understand that I should choose the smallest value among them since anything...
Homework Statement
I just want to know the difference between certain equations for shear stress. I'm trying to find the factor of safety for pins that are in double shear and have a circular cross section.
Homework Equations
So far I've used stress = 2F/pi*d^2 for double shear...
So I am trying to figure out this shear stress problem that I have no idea how to approach. I have a shaft which is transmisitting a torque. It can be locked to its housing by using a pin which passes through it radially. I need to know that the shaft won't snap when transmitting its torque...
Homework Statement
A two-dimensional incompressible flow takes place in the space between two parallel
solid plane boundaries, which are a distance 2b apart. The density of the fluid is p, the
dynamic viscosity is p. and the velocity distribution in the flow is given by the expression
I...
Homework Statement
A solid circular steel drive shaft is 4 m long and 60 mm diameter. The modulus of
rigidity of the steel is 85 GPa and its maximum allowable shear strength is 150 MPa.
The shaft is used to transmit a power of 30 kW while rotating at 500 rev/min.
Calculate the following...
Dear forum,
I need some guidence on how to solve shear stress on a pin and the hole compression due to force load on the pin. I haven't provided number as I can work those out later, but simply I am asking for a step by step!
[PLAIN]http://img835.imageshack.us/img835/8623/problemsb.jpg
I've been reading my strength of materials text about design of steel beams. I understand everything up to the point where the text tells me to use the average web shear stress (V/dt) instead of max shear stress (VQ/It) to determine if a given beam is within the allowable shear stress. I...
Hey so I am currently trying to calculate whether or not we can lift a giant tank made of corrugated sheet metal. I am looking for conceptual answers here, but will give some details.
A potential plan is to place a number of D-bolts (let's say 8 for now) through holes near the top of the...
Homework Statement
A cantilever beam (length, L, height, 2h, thickness 1). The top surface is subjected to shear stress tsubxy = s. Determine the stress function psi. The boundary conditions at the end of the free end (x=L) can be satisfied by integration (e.g., traction free can be...
Homework Statement
A submersed, vertical plate is moving downward. The positive coordinate is downward. Mass is M (per unit area). Shear stress is \tauw.Homework Equations
\SigmaF = 0The Attempt at a Solution
I have \SigmaF = Mg - 2*\tauw = 0.
(2 for the two sides of the plate)(using unit area...
Homework Statement
If I have a 2x2 stress tensor and a normal vector n and want to find the shear stress. Is it the same which shear stress I find?
I mean
Pn = P dot n
Pnn = Pn dot n
Shear stress = Pnt = Pn - Pnnn
This gives Shear stress with the same unit vectors as n, f.ex i an j
But I can...
Hi all - first post at PF. As a 'science enthusiast' with no training in the tensor math of GR, was initially bewildered by the common assertion that still hypothetical 'dark energy' would act as a source of 'negative gravity' despite having positive energy density. Finally grasped that pressure...
1. Problem Statement
The long bolt passes through the 30-mm-thick plate. If the force in the bolt shank is 8kN, determine the average normal stress in the shank, the average shear stress along the cylindrical area of the plate defined by the section lines a-a, and the average shear stress in the...
Something has been bugging me for a long time, since I took my first statics class a few years ago. I have a problem with a common figure found in many statics books. I have attached the figure to my post.
My question deals with the delta V added to the shear force on the right side of the...
Homework Statement
A simply supported beam with its cross-section is shown in the attached figure 2.2. For the beam and loading shown, determine the largest shearing stress in the section n~n and shearing stress at point a shown in cross-section of the beam.
Homework Equations
The...
Hello
I am trying to understand if is it reasonable to use "slip walls" or "zero shear stress" to model smooth walls.
I am working with turbulent air flows in ducts.
Please share your comments.
What is the definition of shear stress in a cylindrical tube? It seems like sometimes that is written
\tau = \mu \frac {\partial u} {\partial r}
but then at some magic moment it gets rewritten as
\tau = - \mu \frac {\partial u} {\partial r}
so as to arrive at formula like
\tau = -...
Homework Statement
Determine the Max, Min & average shear stress, and the shear force in web
V = 125kN
Note th attachment
Homework Equations
The Attempt at a Solution
First I calculated the Moment of Inertia
I = (1/12)(bh3 - bh13 + th13) = 3.43X10-4 m4
Max Shear...
I have this flow with Reynold's number in the 10^5, which I think it's big enough to treat the fluid as inviscid, does this also mean I can assume the shear stress is negligible?
Homework Statement
I have encountered this problem several times in class, but have never really understood it. There is a solid round bar that is fixed on one end, and that bends 90 degrees a ways down. At the free end of the bar there are forces applied in each Cartesian direction.
Like...