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.
Hi,
I am having trouble understanding why Tij can be non-zero for i≠j. Tij is the flux of the i-th component of momentum across a surface of constant xj. Isn't the i-th component of momentum tangent to the surface of constant xj and therefore its flux across that surface zero? What am I...
Draw the shear and moment diagrams for the beam in the figure. Clearly show all values, including the maximum shear and maximum moment and their positions on the diagrams. Assume the supports at A and C are rollers and D is a pin support. note there is a hinge at point B.
I am having trouble...
Homework Statement
The force on a knee cartilage can cause a large force to deform it. The cartilage area is 11cm^2 and the shear modulus is 12MPa. Max force at impact is 904N at an angle of 12 degrees with the cartilage, through what angle (in degrees) will the cartilage be deformed...
Homework Statement
Homework Equations
The moment and shear flow equations
Solved with Matlab
The Attempt at a Solution
I am getting real close to the answer but something is off and I can't figure it out.
The full code (Matlab)
deg = pi/180;
G = 4.e6...
…or must it be of displacement, x?
In a shear force, V (or bending moment, M) diagram, isn't it usually the shear force (or bending moment) plotted as a function of displacement, x?
When someone asks to "draw the shear force and bending moment diagrams as a function of the applied load...
If I use the un-threaded section of a 3/8th inch bolt as a pin to lock a sprocket hub to a drive shaft I would drill and ream so that the bolt would need to be lightly tapped to go through the assembly.
If the fit was looser (.025 thousands clearance) would that reduce the capacity of the...
Homework Statement
Hi all, I have a problem determining the moment and shear force at a location. The moment, I think, I have already solved. But I get stuck at calculating the shear force at the same location. It is for a element that is suspended in water, thus the weight of the element...
Hello Everyone
I'm trying to get a deeper understand about this, and I hope you guys can shed some light on the issue. I'm not an enginner, so this may sound a little dumb. Anyway, here it goes.
Suposse I drop a piece of chalk. As it hits the floor, it will likely break into pieces, and...
Homework Statement
Draw the shear diagram for the compound supported beam.
Homework Equations
Statics... so sum of moments at any point or forces in any direction are 0
The Attempt at a Solution
I summed the forces in the y direction, as well as the moments at A and moments at B...
Homework Statement
So in my notes we have the following example:
So I decided to try to solve it another way, this time I flipped the figure and here is my attempt:
I got the correct moment but then the signs on my shear is flipped. Does anyone know why?
Homework Statement
Double Shear Pin Connection
Homework Equations
∑Fx = -2V + P = 0
The Attempt at a Solution
When calculating the shear force along the planes of the pin, where I have a reaction at Ax and Ay, why do I have to use the magnitude of the reaction force as opposed to...
Homework Statement
I have attached a diagram
Homework Equations
14 + Va -32 + Vb -15=0??
or Vb=-15?
The Attempt at a Solution
The reason why I cannot attempt this problem is that I'm not sure whether it is valid that there can be a point load at Support B or whether they are...
Can someone link a website or attach a picture of a chart distinguishing the differences between the stress risers in a shear pin (round circular shaft) with a V-notch groove versus if it was a rounded groove. I have been looking but can only find charts, tables and graphs for round circular...
Homework Statement
My problem is how to calculate the Shear Flow Distribution through this open cross-section.
The section has a uniform thickness of 2mm and all other dimensions are on the attached picture.
There is also a 100 kN downwards force applied.
Homework Equations
q(s) =...
Problem statement:
Two 3/4-in.-diameter nylon rods are spliced together by gluing a 2-in. section of plastic pipe over the rod ends, as shown in the figure. If a tensile force of P = 500 lb is applied to the spliced nylon rod, what is the average shear stress in the glue going between the pipe...
Problem statement:
Two 3/4-in.-diameter nylon rods are spliced together by gluing a 2-in. section of plastic pipe over the rod ends, as shown in the figure. If a tensile force of P = 500 lb is applied to the spliced nylon rod, what is the average shear stress in the glue going between the pipe...
Homework Statement For the beam shown in the figure: a) Draw necessary free body diagrams
b) Calculate support reactions
c) Draw the shear force and bending moments
Homework Equations
∑Fy = 0; ∑M = 0; V(x) = ∫ L(x) ; M(x) = ∫ V(x)
The Attempt at a...
Homework Statement
Draw the shear and moment diagram for the beam
Homework Equations
∑Fy=0 ∑M=0; ΔV=∫w(x)dx ΔM=∫V dx
The Attempt at a Solution I am firstly finding the external forces as any statics problem(Ay=13.5kN upwards, By=13.5kN upwards).Then I found the equations of the...
Homework Statement
This is the question that I am struggling with.
http://postimg.org/image/5kb0pur3z/
I need to plot shear force and bending moment diagram of it.Homework Equations
The beam is in static equilibrium so algebraic sum of forces in x and y direction equal zero.
Also, moment is...
Homework Statement
I am self-studying this note and I am stuck in the derivation of the normal shear stress. I can't see how the relations (23) and (24) come about, i.e. I don't understand
\tau'_{xx} = \frac{\tau_{xx}+\tau_{yy}}{2}+\tau_{yx}
and
\tau'_{yy} =...
Homework Statement
Let me first add a picture of the experiment and than try to describe my problem:
So I have two rods (one with a square profile and the other one with a circle profile) and what I do is I apply some force in the middle. The rod bends under the applied pressure...
Hi
When we talk about shear stresses in a fluid, we find that the shear stress is given by
\tau_{xy} = \mu(\partial_y u + \partial_x v) = \tau_{yx}
This relation we get when only looking at one side of our fluid-"cube". Now, in order to take into account the opposite side we assume that the...
Homework Statement
Homework Equations
qs1(0)=qs3(5)
qs2(0)=qs1(5)
qs3(0)=qs2(6)
Vy=0
q(s)=-Vy/Iyy*Q(s)
Where Q(s)=y*A
Where y=y coordinate of centroid and A=Area
The Attempt at a Solution
To be honest I'm not sure how to separate the q(0) term, nor do I know what the...
A solid shaft 100mm diameter which transmits 75kw at 150 rev/min.
the question is asking me to find the max shear stress and angle of twist per metre of the shaft length.
G=80GN/m^2
I was under the impression to find the angle of twist you needed the length in the first place. None of...
Homework Statement
In the question (see attached images), it asks me to draw the shear and moment diagrams for the beam shown in the figure. To do this, we use the equilibrium equations. What I do not understand is why M is present in the equilibrium equation for bending. Isn't the pivot...
Homework Statement
DIAGRAM ATTACHED AT BOTTOM
Q. The following statements are true for an element in plane stress state. (this is 2D)
(1) one of the principle stresses is 40Mpa;
(2) σx= -2τxy; (the algebraic values)
(3) in x'oy' with θ=30°, the two normal stresses σx'=σy'
Determine...
Homework Statement
http://postimg.org/image/me4or4j7p/
http://postimg.org/image/tvdw6c8qt/
Using the views "a-a" and "b-b", can someone explain if these are single or double shear?
I''d have thought they were both double shear, but the solution to the second one treats it as single...
Homework Statement
A Bolt is in single shear and is tightened so that it exerts a tension force of 39.886kN, the
diameter of the bolt is 20mm and the shear loading is 26.276kN;
Given that the tensile stress should not exceed 290MPa and the maximum shear stress should be
taken as 60%...
Homework Statement
What is:
i) In diagram 1, the magnitude of the normal force at A
ii) In diagram 2, the magnitude of the shear force at B
iii) In diagram 3, the magnitude of the bending moment at C
iv) In diagram 4, the magnitude of the bending moment at the support...
Homework Statement
i am study for a physics test and i think my physics teacher gave me the wrong equation for shear stress
Homework Equations
she gave me F=Δx/l *A
The Attempt at a Solution
Hello,
I am wondering, is the area A in the equation meant to be the area of the empty space in the shaft, going all the way to the half way point of the structure (meaning, the area of the space included in the dotted lines in the diagram on my attempt?
suppose i have 4 solids like this:
and the solid have shear stress and tensile stress 12N/mm2 and 15N/mm2 respectively,
suppose i know the area of each surface,
how can i judge whether this solid is able to withstand 20N load?
what kind of formula should i use?
Homework Statement
A Solid rod with .375 in. D sits glued in the hole with .38 in. D. There is glue only on the annulus of the rod. A force is applied to the back side of the rod until the glue bond is fully sheared and the rod falls out.
Find the shear stress
Homework Equations...
Hi All,
So here's the problem. A project I am working on has a composite metal panel assembly, which a previous engineer designed. The metal panels are simply glued to the polystyrene (styrofoam sm). The problem is that the previous engineer did not consider the difference in thermal...
Draw the shear and moment diagrams for each of the three members of the frame. Assume the frame is pin connected at A, C, and D and there is a fixed joint at B.
Please i need help with this .. would be great if anyone can help
Homework Statement
Consider a fluid between two plates. One on the bottom which is stationary, and one at the top which is moving at constant velocity V. The plates are separated by distance h.
Does shear stress change as you move further from the moving plate?
Homework Equations
the...
Homework Statement
It's a relatively simple problem I'm sure, but I'm a bit confused on how exactly to go about it:
There are three parallel plates with water (viscosity of 0.8807 cp @ 30°C) between plates 1 and 2 (plate order of 1 on bottom, 2 in middle, 3 on top), and toluene (viscosity...
Homework Statement
transverse loads are applied to the beam in the figure at A, C, and E, and a concentrated couple 3Pa is applied to the beam at E. Determine expressions for (a) the transverse shear force Vc and bending moment Mc at a section just to the left of the load at C, and (b) shear...
Homework Statement
Find the normal and shear components (\vec{\sigma}_{n},\vec{\tau}) of the stress vector on the surface ABCD.
Given:
State of stress at a point
\sigma_{xx}=3
\sigma_{yy}=0
\sigma_{zz}=-1
\sigma_{xy}=-\sqrt{2}
\sigma_{xz}=1000
Unit normal...
Hi guys, I have a repeat exam in 10 days and I have a couple of things which I would appreciate if you would help me with.
I have attached the mock exam and my attempt at question 2. I will describe where I have issues below.
Homework Statement
For the FIRST question, I have the...
Im having difficulty figuring this question as their are not enough notes or guides on longitudinal shear on bolts.
Shear flow(q/s) = VQ/I
Yc = 100
I = 3.65 X 10^8 MM^4
Q = Ax Y'
Q = 150 X 25 X 87.5 = 3281250 As analysing shear in the longitudinal which means taken consideration of...
Hey everyone,
As part of my PhD project I'm trying to design a small bioreactor in which I will be growing animal cells. This bioreactor will basically consist of a hollow cylindrical vessel that has an impeller in it which will keep the liquid medium in the vessel well mixed. The impeller I am...
Homework Statement
Homework Equations
ƩFy=0
ƩM=0
The Attempt at a Solution
Finding the reaction at A:
ƩFy=0: A + (L*w0)/6 - (L*w0)/2 = 0
A = (L*w0)/3
ƩMA=0: MA - [(L*w0)/2]*(L/3) + [(L*w0)/6]*((2L)/3) = 0
MA = (w0*L2)/18
For the shear and bending moment:
ƩFy=0: (L*w0)/3 - (x*w0)/2 +...
Homework Statement
The maximum shear force of a set of bolts is 1000 kN.
The ultimate shear stress is 750 MPa and the safety factor is 3.
The diameter of each bolt is 20 mm.
a) What is the maximum working shear stress in each bolt?
b) The cross sectional area of each bolt?
c) The maximum...
Homework Statement
Determine the shear stress, \tauE, at point E that corresponds to the maximum shear force along the length of the beam. V = 25kN
b= 55 mm
c=150 mm
d=110 mm
e=65 mm
Homework Equations
\tauE = \frac{V*Q}{I*t}
Q = \bar{y}'*A'
The Attempt at a Solution
I was able to find...
Hello all,
I'm having some difficulty understanding the relationship between the diagrams. I understand that the area under the shear force diagram curve is equal to the moment. But let's say you have a cantilever beam, 10 m long, anchored on the left. There is an evenly distributed load...
Homework Statement
A locked door handle is composed of a solid circular shaft AB with a diameter of b = 108mm and a flat plate BC with a force P = 69N applied at point C as shown. Let c = 532mm , d = 126mm , and e = 153mm .
Homework Equations
\taumax = \frac{Tc}{J}
T = internal torque...
Hello everyone, looking around I have faith that the members of this forum will be able to point me in the right direction, and I apologize if it's more basic than I'm giving it credit for.
I'm an experimental researcher in rock mechanics, but I've always been fascinated by elasto-dymamic...