Stress Definition and 1000 Threads

If I have a rod with a steel core bonded to an aluminum shell, how can I find the stress in the rod when it is subjected to a temperature change? I know how to find the stress due to temp change if the tool is made of the same material throughout, but how do I do it if there are two? I...

Homework Statement In the steel structure shown, a 6‐mm‐diameter pin is used at C and 10‐mm‐diameter pins are used at B and D. The ultimate shearing stress is 150 MPa at all connections, and the ultimate normal stress is 400 MPa in link BD. Knowing that a factor of safety of 3.0 is desired...

In a delta strain rosette problem if normal strains are given and asked to find the six components of stress and strain , is it considered as a plain stress or plain strain problem.??

hello all... Please can i know physically why the pressure drop in a fluid when there's shear stress? what happens? thank you

A uniform simply supported beam, 5 m long and having a cross-section as shown, is to support a load which varies linearly from zero at the left hand support to a magnitude of 20 kN/m at the right hand support. Determine the position and magnitude of the maximum bending stress. ANS : 140 MPa...

(a) The steel cable to the hoist is 15m in length and has a diameter of 25mm. Its steel has a maximum permissible working stress of 200N/mm2 and a Young’s modulus of elasticity of 210,000N/mm2. The maximum load allowed on the hoist is 75kN. Determine the following:- (i) the cross-sectional...

Homework Statement (b) A steel alloy has an ultimate tensile strength of 820MN/m2 and a fatigue endurance limit of 390MN/m2. The steel is used in a fatigue application in which the alternating stress is 0.3 times the mean stress. Using the Goodman method with a factor of safety of 1.5...

Homework Statement The equation F/A = -Y\alpha\Delta T gives the stress required to keep the length of a rod constant as its temperature changes. Show that if the length is permitted to change by an amount \Delta L when its temperature changes by \Delta T, the stress is equal to F/A = Y(\Delta...

Homework Statement My Question paper is listed under attachement Question 2 Homework Equations M/I = σ/y The Attempt at a Solution My attempt at the solution is as per Q 2 attachment. What I am looking for is to see if I am on the right track. I'm worried that the units seem...

I've noticed the only times I truly feel stressed are when I don't manage my time well and I end up somewhat backed up on coursework and have to learn and apply a lot of tough concepts in a short amount of time. Did anyone here go through school with lower amounts of stress (no stress would...

Homework Statement L=52 in A=2.76 in^2 E=10.4*10^6 psi Homework Equations σ=F/A ε=σ/E δ=εLThe Attempt at a Solution 4) σAB = (3P)/A ε=(3P)/(AE) δAB=(3PL)/(6AE) → δAB=(PL)/(2AE) solving for P P=[0.17*2*2.76*(10.4*106)]/52 → P=187680 lb → P=187.7 kip 5) Because AB and CD are in tension i...

Homework Statement 2)Both, a brass tube and the steel rod located inside the brass tube are solidly attached to common end plates A and B at either end. The respective diameters are : Do = 5.4 [cm] Di = 3.0 [cm] d= 2.8[cm] Brass: alpha=19x10^-6/degree celcius E=210GPa Steel...

if you look at the attached photo. we have 2 beams, 1) is shorter, 2) is longer. cross-sectional area is the same. same force is applied X cm from the fixed end. what is the max stress in each case? why are they the same ( and why not)? Take gravity out of the equation. FEA shows...

Hi guys, have been struggling with this exercise, could anyone give any help? thank you so much!

I have a design where a beam gets welded to a plate. The plate is not against a wall or foundation, but for simplicity I can say that the edges of the plate are fixed. I am concerned about the stress in the plate, and the deflection in the beam. I have access to solidworks simulation, but I want...

Homework Statement I am pretty confused with how to go about answering this question: Calculate the maximum lenth of conveyor which can be used to avoid the belt failing from stress, for an installation carrying 140 t/h up a gradient of 10 degrees, if the belt width is 1.1m, the speed is 1.7...

Are those the same? if not, how do I calculate the initial yield stress from the tensile strength? all the materials properties I see on the web only specify tensile strength, and I need the initial yield stress as an input on non-linear FEA analysis. Is it possible to extract the initial yield...

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...

Homework Statement Here is the problem along with the solution: I am confused about part (a). Why is it that the area used is 2*0.008*(0.036-0.016). If you draw a cross section at just one of the holes, wouldn't that give you the max average stress? So the area used should instead be...

A 25mm diameter solid circular section bar made from given material tested is to be bored axially to produce a cylinder of uniform thickness. If this cylinder is then subjected to an axial tensile load of 75kN, what is the maximum diameter of the bore possible if the stress in the cylinder is...

Hi, I am trying to find out if permissible stress and tensile are the same.If not,what is their relation?Thank you.

why stress is "bad" for the heart Hi. I don't understand why stress is "bad" for the heart while exercising is "good". For example I'm having a final exam tomorrow worth 100% of my grade for a course and I'm having a huge stress (I feel adrenaline rushes almost permanently). I'm also used to...

Homework Statement An open-end cylinder with inner and outer diameters of 2a=30 and 2b= 60 mm, respectively, is subjected to a uniform temperatures change from 25 oC to 45 oC. Assuming the cylinder is rest on a table and free to move, determine the stress and the final dimensions (i.e. length...

Homework Statement Calculate the deformation of a sphere of radius R and density \rho under the influence of its own gravity. Assume Hooke's law holds for the material. Homework Equations Not applicable; my question is simply one of understanding. The Attempt at a Solution I want...

if you have a beam or something, anchored at one end and apply a moment at the other end, then the bending stress is given by M*y / I, where I is the moment of inertia of the beam. what affect does the length of the beam (i.e. the distance between the anchor and the end of the beam, where the...

Homework Statement After the shaft is manufactured you are informed by the client that the shaft is subjected to an additional thrust force of 5000N. Provide a revised factor of safety for the client. Found the previous factor of safety to equal 2 Shear stress τ = 250MPa Diameter = 36mm...

Homework Statement "Texbooks that describe perfect fluids are often a little unclear about what is being assumed. It may not be immediately obvious why can't the pressures be different in different directions? Let's examine this. Suppose Tαβ = diag(ρ,(1+ε)P,P,P) . Show that if one performs a...

Hello .. I have problem understanding how to decide which material is more elastic based on stress strain curve.. my understanding is as follows 1)if a material has big youngs modulus.. then it is more stiff 2)a material with a big youngs modulus may be or may not be very elastic (elasticity...

1. Knowing that a 0.5 mm gap exists when the temperature is 20 degree celsius, Determine the tempature at which the normal stress in the aluminum bar will be equal to -90 MPa,And the corresponding exact length of the aluminum bar. The Attempt at a Solution I am not familiar with this topic...

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...

Hi guys. Please look at the uploaded picture. Normal stress is difined as: σ= P/A. And the Maximum normal stress σ = P/ (b*h/cos(θ)) ?? The right answers should be σAB= 97,7 MPa and σBC = -66,5 MPa. But how do I calculate it? What I have tried: Force AB: 40* sin(60deg) = 34,641 kN...

Homework Statement One end of a uniform 3 m beam, that weighs 15 N, is supported by a mass-less cable. The other end rests against the wall. The coefficient of static friction between the wall and the beam is μs=.5 Figure: http://i.imgur.com/Ad9R2.jpg?1 Determine the minimum distance x...

1. Homework Statement I have a bar, 500mm long (0.05m) 10mm wide (0.01m) and 3mm deep (0.003 m)The bat has a load applied in the centre of 30nI know the maximum yield stress is 150 mpa 150x10^6How do I calculate the maximum load the bar can take?2. Homework Equations I used stress = m y / I3...

Homework Statement I have a bar, 500mm long (0.05m) 10mm wide (0.01m) and 3mm deep (0.003 m) The bat has a load applied in the centre of 30n I know the maximum yield stress is 150 mpa 150x10^6 How do I calculate the maximum load the bar can take? Homework Equations I used...

Hello, I am supposed to find an expression for the general stress wrt height within a truncated cone of lower and upper radii a and b (a>b), pulled down from its vertical axis by a force of the same magnitude as that pulling it up. The diagram implies that the height between the upper and lower...

Hi, I have a problem calculating the required torque that needs to be applied to a bolt. I need to torque the bolt to a maximum of 75% of the yield strength of the bolt (which I have worked out) However I am having trouble figuring out what torque will actually apply this stress to the bolt...

Homework Statement Here is the problem: I have to calculate the maximum stress for A, B and C. Homework Equations I used: σ = y*F*L / 4*I (but I don't think this is right) σ = maximum stress y = Perpendicular distance from to neutral axis F = load L = length of beam I...

Tensile stress given theta and force (I'm kinda desperate) Homework Statement Aluminum wire is lightweight. You can hang a piece of it nearly horizontally with very little tension. After having done so, you then hang a HEAVY (25 kg) block from the wire. The wire sags to make an angle of 12...

Homework Statement Here is the problem with my attempt at the solution: The magnitude of my answers are correct, HOWEVER I am getting the wrong signs. For the force balance in the x direction I get a negative P but for the force balance in the y direction I get a positive P. Does anyone...

Rubber has roughly a stress of 1.0 MPa per unit strain . how much stress has been applied to the rubber band? Stress = f/a though it was straight forward and used the formula for stress but when I looked at the answer it was 2.0 x 10^6 Pa But why?

Hello, Considering stress energy tensor as: [T00,T01,T02,T03 T10,T12,T13,T14 T20,T21,T22,T24 T30,T31,T32,T33] Is T00=Energy density? Is T10,T20,T30 = momentum density? t02=energy flux? t11,t22,t33=pressure? which is the momentum flux? where is the shear stress? Thanks, --...

This is regarding youngs elastic modulus I need help as I am trying to figure out the stress and strain of an elastic band when a force has been applied - in youngs modulus. Does anyone know how to go about this?

Homework Statement Hi guys! If I have two positive charges really close to each other, what would be the electric stress between the positive charges? Now I don't need a numerical answer, but I would like to know if my attempt is correct. Homework Equations σ=ε(EiEj-(1/2)δij(E^2))...

Hello, I am new to this, if somebody could help me: The energy density in stress-energy-tensor is the amount of energy stored in a given system per unit mass. The T00=energy density. In a 4x4 matrix, we generally start with 1,1. Why it is 0,0? Secondly, what does energy density mean...

Homework Statement A beam (note: part of a truss, I chose to use the beam in the truss with the most force and length for my calculations, which I assume is the correct thing to do) of length 6m with a force of 9N is being constructed out of a material with a Young's Modulus of E = 70 \times...

Homework Statement For a plane stress state, show that the principal stresses and strains occur in the same direction? Homework Equations Hookes Law for PLane Stress States Principal Stress is tan(2θ)=2δ/(\sigmax-\sigmay) Principal Strain is tan(2θ)=\gammaxy/(\epsilonx-\epsilony)...

I need to find the stress σ (defined as normal force/area, in N/m^2) for the following simple situation. The forces are not equal. I can't wrap my head around what's going on - the whole system should be accelerated, so what's the final force that should be used for calculating the stress?

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...

Homework Statement Establish the constitutive relationship for the cantilever beam material, i.e., provide an empirical formula for the relationship σxx=σxx(εxx) and generate a plot of this relationship. What is the cantilever beam material? Homework Equations This is a pure beam bending...

Homework Statement A positive moment of 12000Nmm at the tip applied as two equal and opposite point loads of 1000N in the x direction at C and D. The beam is fully fixed along AB. Young's modulus E = 200*(10^3) MPa and the poisson's ratio = 0.3. Geometric Properties: Width, b=10mm...