Stress Definition and 1000 Threads

I don't really understand how to calculate the stress in a deformable body that is unconstrained and acted on by an external force. For example, consider a rod with a circular cross-section lying parallel to the x-axis. If one end is constrained from translating in the x direction and the other...

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...

"Stress" around fulcrum helo, I have a couple of forces described in f''(t), and the f'(t) yields a momentum vector plane like pic: in this picture, we have a solid square plate of some hard material, and an axis where the white rod is. Since the sum of the vectors on each side equal 0...

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...

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 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...

1.The center rod CD of the assembly shown in the figure is heated from T1 = 30oC to T2 = 180oC using electrical resistance heating. The two end rods AB and EF are heated from T1 = 30oC to T2 = 50oC. At the lower temperature T1, the gap between C and the rigid bar is 0.7 mm. Rods AB and EF are...

Hi all, This is my first post in PF I'm doing my ninth standard in India,My knowledge in physics is limited so please forgive me if I ask something basic Can anyone clearly explain me the relationship stress and strain,because I thought when a material deforms (even to the slightest...

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, I am doing simulation using Finite element for the concrete ,this I found the concrete model for the concrete in euro code as attached in the picture. But what I don't understand is basically why the peak of the curve is not the Fck (compressive strength), because the curve maximum is...

Hi everyone, I am curious as to whether it is possible to calculate the difference in density due to applied (mechanical) stress on an object. E.g.: apply a controlled force of, say, 50 N on a structure, calculate the mechanical stress in the object with sigma = M/I * z and then go on from...

Can anybody tell the stress developed during extrusion of Al Alloy. More importantly, is there a type of Al alloy that prefer least amount of stress.

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...

Homework Statement In a prismatic bar (same cross sectional area throughout the entire length), the load applied to both ends is 100 N causing the member to be in tension. If the cross sectional area of the member is 5 cm2. What is the normal stress in the in kPa? Homework Equations...

Homework Statement Here is a link to a picture of the problem: http://imgur.com/5nOnpJE Click on the picture to make it bigger, and readable!I need to find the angle that the two rods will have the same stress. We are talking about normal stress here! Homework Equations \sigma = Force /...

http://im32.gulfup.com/u6n3f.jpg

Hi. I have a huge problem and without solving it I can't move forward. I will appreciate any help. Having the stress tensor S: 163.666557052527 -63.0272557558942 0.000000000000000E+000 -63.0272557558942 70.3802282767392 0.000000000000000E+000...

Problem Description: Internally pressurised pipe elbow with open ends. I have to compare the Finite Element Von Mises stress with that calculated by hand. I am having issues calculating this. The formulae that I am using are: Hoop Stress: σ_1 = \frac{P*d}{2*h} Where: P is pressure...

Hi Everyone, I am a student studying civil engineering and want to do a stress analysis on a part I have made in Solidworks (CAD software). However, it is somewhat complex for handcalculation purposes, so I have simplified it down. I want to run a full ansys simulation on the part, however I...

Hi Guys I'm analysing a heat exchanger based on an existing commercial model in SolidWorks Simulation. The same materials etc have been applied to it in the Static analysis. Deflection on the heat exchanger is very small. The one thing that baffles me though is how, regardless of even...

HI. :) help me please. when the problems says that there is an allowance stress, especially in thin or thick walled vessels, what kind of stress could it be? thanks!

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...

How can I calculated the wood strain in compression to plot it with stress, if the data that I have is the length and several extension data. The extension data corresponds since the 0 load to the the failure. Thanks. Since the equation for Strain is: ΔLength/Initial Length In order to...

Firstly, does a stress vs. strain graph for a material always take the same general shape as its load vs. extension graph (with the same important points, e.g. UTS, having the same shape and corresponding to the same thing)? Secondly, what do the stress-strain and load-extension graphs look...

Hello All, I have a fixture that is used for lifting an engine. See attached image for the part in question. You can see in the 'front' view the hole where a pin passes through the part and the lifting lug of the engine. You can also see the loading. We want to machine the part down such...

Homework Statement An Aluminum cable of length 3.5m has 15,000 N tensile force acting on it if the wire is only allowed to be stretched by 1mm before it breaks, What must be the radius of the wire if the Young's modulus of Al is 6.9 x 10^10 N/m^2? I am also supposed to find the tensile...

Homework Statement The position of piston Cd is locked and force P = 350lb is applied as shown. The diameter of all pins and bolts is 3/8 in., member BCE has a thickness of 1/4 in., and member Ef has a width of 1 in. adn thickness 1/4 in. Homework Equations The Attempt at a...

Homework Statement Explain in terms of stress and strain what happens to the stretched material beyond the ultimate tensile stress. Homework Equations A curve similar to this The Attempt at a Solution I can see that the curve beyond UTS represents increasing stiffness but i can't...

Hi everyone. I'm working on deriving Friedmanns Equations from the Einstein Field Equations. I've got the '00' components worked out but I'm having some trouble with the spatial indices 'ii' of the stress energy tensor ## T_{ii} ##. I'm the FLRW metric with c=1 and signature (-,+,+,+) so that...

After a fall, a 77 kg rock climber finds himself dangling from the end of a rope that had been 15 m long and 9.1 mm in diameter but has stretched by 2.3 cm. For the rope, calculate (a) the strain, (b) the stress, and (c) the Young's modulus. strain = ΔL/L stress = F/A Young's modulus =...

Homework Statement For each material calculate the cross sectional area in m². Each sample is of rectangular cross section 20mm by 1mm. Produce Stress and Strain tables for the data. TEST DATA FOR X (N) EXTENSION (mm) 1000 0.48 2000 0.60 3000 0.70 4000 0.80 Homework...

Hi there Are anyone familiar with tables of stress concentration factors, or the like for short beams for different span/depth ratios. My beam is technically not a beam, but I would still like to estimate maximum bending stresses related to normal stresses caused by bending moment (sigma =...

Homework Statement Knowing that the stress and strain for an isotropic media can be related with the following expressions: \sigma_{xx} = (\lambda + 2\mu)\varepsilon_{xx} + \lambda\varepsilon_{yy} + \lambda\varepsilon_{zz} \sigma_{yy} = \lambda\varepsilon_{xx} + (\lambda +...

I'm trying to figure out the stress on member AB in the attached diagram, given a load of 250lbs at point C. Obviously there is a torque of 250ft-lbs at point B, but I'm not sure how to translate that into stress on member AB? My end goal is to size member AB so that the stress is stays below...

first what's the difference between bearing and shear. I managed to solve a easily. for part b i calculated fb(√(bx^2+by^2) and divided by ∏*4^2 I don't know how to solve c.

A 1.80-m long round steel wire with a cross-sectional diameter of 0.80 mm is placed over a light frictionless pulley, with one end of the wire connected to a 23.0-kg mass and the other end connected to a 14.0-kg mass. By how much does the wire stretch when the masses are in motion? S= F/A e=...

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...

hello everyone. I am in desperate need of help from some mechanical design/materials engineers/students. I am an Electrical/Electronic Engineering student currently completing a project and require assistance on some mechanical design issues. I have searched numerous websites and books...

ladies and gents I have been set a question for homework which is one where if you get one part wrong then the rest of your answers are in correct. It is a 3 questions in one question and i have answered 1 and 2 but can't seem to do part 3 the question is A torque T = 75Nm is applied to...

Hello everybody, Can you please tell me what's the difference between plane stress and plane strain ? Does one imply the other ? For example, does plane stress imply the plane strain ? Thank you in advance.

Homework Statement A stepped solid shaft of circular cross section is rigidly clamped at ends A and D and loaded by twisting moments T1= 1kN.m and T2 = 1.5kN.m at points B and C. The material is steel for which G = 84x10^9 N/m^2, the length L of the shaft is 500mm, and the diameters of AB and...

The state of stress at ##\mathbf{P}##, when referred to axes ##P_{x_1x_2x_3}## is given in ksi unites by the matrix $$ [t_{ij}] = \begin{bmatrix} 9 & 3 & 0\\ 3 & 9 & 0\\ 0 & 0 & 18 \end{bmatrix}. $$ Determine (1)the principal stress values at ##\mathbf{P}## and The trace of...

Hello, I have a system that consists of a clamped-clamped beam with a residual stress and am trying to find an equation that governs its deflection due to a point force that takes stress into consideration. A formula I have come across: d = (F*L^3)/(192*E*I) does not accurately model the...

I'm having some trouble calculating the stress tensor in the case of a static electric field without a magnetic field. Following the derivation on Wikipedia, 1. Start with Lorentz force: \mathbf{F} = q(\mathbf{E} + \mathbf{v}\times\mathbf{B}) 2. Get force density \mathbf{f} =...

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...

Hi, I'm trying to calculate the maximum bending stress in a beam with a varying cross section. I found a great resource (link below) that gives examples on how to do this but am a little confused. Basically the equation used is σ=M/Sx I know what σ and M are, but I haven't a clue what Sx is...

The rod is made of A-36 steel and has a diameter of 0.25 in and a length of 4 ft. Attached to each end of the rod is a spring which is fixed to a wall. If the springs are compressed 0.5 in. when the temperature of the rod is T=40 F, determine the force in the rod when its temperature is T=160 F...

Homework Statement Given a cylinder in the Ox1x2x3 coordinate system, such that x1 is in the Length direction and x2 and x3 are in the radial directions. The stress components are given by the tensor $$ [T_{ij}] = \begin{bmatrix}Ax_2 + Bx_3 & Cx_3 & -Cx_2 \\ Cx_3 & 0 & 0 \\ -C_2 & 0 &...

1. Problem statement In a two-dimensional problem, σx=300xy and σy=300xy and τxy=0 at x=y=0. Determine lines of constant shear stress τxy in the x-y plane and plot them for τxy=100, 300, 400. Homework Equations dσx/dx + dτxy/dy + X = 0 [1] dτxy/dx + dσy/dy + Y = 0 [2] At least I think...