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.
Homework Statement
View image below
Homework Equations
The Attempt at a Solution
I don't understand where the normal and shear forces are applied. Are there one of each on both inclined planes or is there just one normal force and one shear force? If you could provide a drawing I...
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...
Homework Statement
I am trying to work out the Shear force and bending moments in a simple cantilever bean with a point load and a U.D.L but am not sure of the equations or how to go about starting it. Its a 2 m long cantilever beam built into a wall at the right-hand end, Point C. A UDL is...
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...
Hey guys, I was just doing some mechanics of solids. I haven't done this section at uni yet, had holidays so was just trying to go ahead a bit. But the problem is I am completely lost on shear centre. If you could help me on a question, i'd be very grateful.
Homework Statement The question is...
Homework Statement
Neglecting the size of the pulley at G, draw the shear and bending moment diagrams for beam AB.
Homework Equations
Fxnet=0
Fynet=0
Netmoment=0
The Attempt at a Solution\
What I want to do first is figure out the reactions at A and C, however I'm not sure...
Need help calculating Shear on a 5/8" square key
PF,
I am trying to figure out how to calculate the shear on a 5/8" x 5/8" x 3-1/2"L standard shaft key, when the OD of the shaft it fits into is 3". A tire of ~40" dia rides on the shaft and at any given time, let's say a load of 20,000lbs is...
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...
Does anyone have any empirically based equation for estimating torsional shear strength of a tube made from a given steel. I've seen "estimates" ranging from 57% UTS to 75% UTS, but nothing empirical. I'm open to anything based on UTS, a given offset strength, or JAEL yield. Thanks!
Folks,
I was checking to see was it possible to determine the bending moment diagram from the shear force diagram.
Seemingly one can do it for simply supported beams but if we consider a rigidly supported beam on either end its not possible to derive the bending moment diagram from the shear...
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...
This is my first course in Engineering and the professor told us today that we have to do shear and bending moment diagrams for an arch bridge. Anyone have any clue on how to do this? He gave us no information on how to do it and nothing in a book. Please help??
Homework Statement
draw/find the shear and bending moment diagrams of:
Homework Equations
V : shear
M : bending moment
ω : distributed load
The Attempt at a Solution
i already understood how the solution worked but i can't quite understand how the equations with the boxes were derived
id like to think i did this right, but i just want to make sure. i can't do symbols so let d equal sigma.
the stress components are d_xx= 200 MPa, d_xy= 50 MPa, d_yy=-100 MPa. I need to find the max shear stress, and the principal stresses, and then a_s and a_p.
heres what i got:
max...
Homework Statement
Homework Equations
\gamma_{max} = {\left|{\epsilon_1} - {\epsilon_2} \right|}
The Attempt at a Solution
I calculated the maximum shear strain to be 200 \mu.
For the angle, I don't know exactly how to go about finding it. However, the solution says that the angle is...
Homework Statement
This would be really difficult to type, so I've attached the given problem and my work. I think it is legible for the most part, but let me know if you have problems reading something.
The Attempt at a Solution
My shear diagram worked nicely. I've run into a problem...
Hi there,
I should probably know this (attempting to do a PhD in physics!) but is there a way to differentiate between longitudinal and shear acoustic waves in a solid?
I know that seismologists know which is which by using the time of flight difference for the two types of waves and the...
Hi,
i would just like to clarify some terms used in aerodynamics with you guys here and find out more about these terms at the same time.
Turbulent shear layer: Does this term refer to the first layer of air immediately adjacent to the wall surface over which the air flows? Turbulent...
Hi guys,
its been awhile since i have been back. Right now, i am involved in some research on aeroacoustics and i have been trying to get some of the basic fundamentals on aerodynamic generation of sounds. Unfortunately most of the online literature do not give much details on the physics of...
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
I need to create N-, M-, V- and T- diagrams for a frame beam. (see picture attached)
The beam is 1m. The force on top is 1200N.
Homework Equations
/The Attempt at a Solution
I started with the shear diagram. But i was having difficulties with the two normal-forces on the...
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
This cantilever confuses me so much. The negative point loads and negative distributed load. And is the other one that's -40kN/m moment/torque or something. My question is how do I do the shear force and bending moment diagrams of this. Am i suppose to redraw the diagram...
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...
Looking to figure out the allowable stress (psi) of a shaft which has two pin holes in it on the transverse axis of the shaft.
tau = allowable stress, psi
T = torque, in-lb
c = distance from center of gravity to extreme fiber
J = polar moment of inertia
D = diameter of the shaft
d =...
I am having some difficulty getting my head around the terms tension (stress/strain), shear and torque in a bolt and cantilever.
Lets say we have a cantilever 1m long bolted to the wall, with the bolt in the middle of the cantilever and a 10N force hanging and/or directly attached to the end...
Homework Statement
[PLAIN]http://img823.imageshack.us/img823/6601/unledpicturex.png
Homework Equations
q = \tau/b
\tau = (VQ)/(Ib)
I would like to calculate the shear flux in one row of nail. By taking the first moment for the upper board, calculating q and dividing by 2 I get the...
I was looking at bolts strengths on this chart (bottom of page)
http://www.derose.net/steve/resources/engtables/bolts.html#largebolts
and saw that for a 1/4 unf the bolt shear was around 370 but the chart below it listed it at 2700. Why is that?
i am taking a geomechanics course, as a part of the course we are required to do labs, one of which is to test the shearing stress of a sand using the direct shear method.
we repeated the experiment 3 times changing the compressive stress each time, 0.75, 1 and 2 kg/cm2
from each...
I passed my statics course and am currently taking material stength course.
The thing that has been on my head is the fact that, although I know how to do shear and bending moment diagrams... I do not know how to READ them. In other words, the diagrams don't mean anything to me.
For...
Homework Statement
Hi,
I know how to draw simple Shear Force Diagrams, but I am struggling with the example in the below picture, as it has a UDL.
Homework Equations
The Attempt at a Solution
Normally for the solution, I should start the diagram at 26.7, then across and down...
Homework Statement
Determine shear force at point D of Beam
http://tinypic.com/r/339m5b6/7
Homework Equations
Sign conventions for cut at d when considering LHSFBD
M = xFy - yFx - cross product...
The Attempt at a Solution
I've found the reaction forces by finding the sum of moments...
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...
1. Homework Statement
A tensile load of 40KN is applied on a double shear joint. Design a bolt that holds the members safely without any kind of failure. A UTS 1250 class steel [allowable stress = 1080 MPa, Ultimate strength = 1250 MPa] bolt is used and the members (lugs) are made of AA2014...
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...
I need to find the shear center of the following cross section, but to do so i need to be able to draw the shear flow. Does anyone know how you would draw it for this case and why? It seems to be pretty easy until you get a complex cross section like this.
See cross section here...
Homework Statement
A student bumps into a tray of jello. The lime jello is jiggling side to side faster than the orange jello. Both jellos have the same spatial dimensions. Which statement is true?
Answer: Lime jello has a higher shear modulus than orange jello
Homework Equations...
Resolving Forces - Shear and Bending Moment - :)
Homework Statement
The data table and associated questions are rather complex, if you have the time it would be much appreciated if you could have a look at the attachment and provide me with a solution or point me in the right, i just can't...
I have the solution's manual for this particular problem, but I'm having hard time understanding the steps they've taken. I've attached pictures of the problem below.
For the shear, are they using 1/2*x*(wx/L) because it is equal to the area of the force?
And for the bending moment, where are...
Hey!, I was repeating for myself a course I had from a earlier year, fluid mechanics. I looked at the derivation of the navier stokes equations, and there is one term that does not give meaning to me.
Take a look at the x-momentum equation here...
Homework Statement
I have an assignment that is similar to the following question. I believe if i am able to do this question i will be able to do the assignment. However I cannot seem to be able to get this question right. Below the question and answer...
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...
I can't seem to wrap my head around the signs of shears and moments when applied to beams. Consider a cantilever beam that goes from x = 0 to x = L (with positive deflection, or y(x), corresponding to a deflection upwards).
The standard equations tell us that
\text{Moment} = EI...