Module 3 Design for Strength. Version 2 ME, IIT Kharagpur

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Module 3 Design for Strength. Version 2 ME, IIT Kharagpur"

Transcription

1 Module 3 Design for Srengh

2 Lesson 2 Sress Concenraion

3 Insrucional Objecives A he end of his lesson, he sudens should be able o undersand Sress concenraion and he facors responsible. Deerminaion of sress concenraion facor; experimenal and heoreical mehods. Faigue srengh reducion facor and noch sensiiviy facor. Mehods of reducing sress concenraion Inroducion In developing a machine i is impossible o avoid changes in cross-secion, holes, noches, shoulders ec. Some examples are shown in figure KEY COLLAR BEARING GEAR GRUB SCREW F- Some ypical illusraions leading o sress concenraion. Any such disconinuiy in a member affecs he sress disribuion in he neighbourhood and he disconinuiy acs as a sress raiser. Consider a plae wih a cenrally locaed hole and he plae is subjeced o uniform ensile load a he ends. Sress disribuion a a secion A-A passing hrough he hole and anoher

4 secion BB away from he hole are shown in figure Sress disribuion away from he hole is uniform bu a AA here is a sharp rise in sress in he viciniy of he hole. Sress concenraion facor k is defined as k 3 = av, where av a secion AA is simply Pw ( 2 b) and P 1 =. This is he heoreical or w geomeric sress concenraion facor and he facor is no affeced by he maerial properies. P B A 2b B A w P F- Sress concenraion due o a cenral hole in a plae subjeced o an uni-axial loading. I is possible o predic he sress concenraion facors for cerain geomeric shapes using heory of elasiciy approach. For example, for an ellipical hole in an infinie plae, subjeced o a uniform ensile sress 1 (figure ), sress disribuion around he disconinuiy is disurbed and a poins remoe from he disconinuiy he effec is insignifican. According o such an analysis 2b 3 = 1 1+ a If a=b he hole reduces o a circular one and herefore 3 =3 1 which gives k =3. If, however b is large compared o a hen he sress a he edge of ransverse

5 crack is very large and consequenly k is also very large. If b is small compared o a hen he sress a he edge of a longiudinal crack does no rise and k = a 2b F- Sress concenraion due o a cenral ellipical hole in a plae subjeced o a uni-axial loading. Sress concenraion facors may also be obained using any one of he following experimenal echniques: 1. Srain gage mehod 2. Phooelasiciy mehod 3. Brile coaing echnique 4. Grid mehod For more accurae esimaion numerical mehods like Finie elemen analysis may be employed. Theoreical sress concenraion facors for differen configuraions are available in handbooks. Some ypical plos of heoreical sress concenraion facors and r raio for a sepped shaf are shown in figure d

6 F- Variaion of heoreical sress concenraion facor wih r/d of a sepped shaf for differen values of D/d subjeced o uni-axial loading (Ref.[2]). In design under faigue loading, sress concenraion facor is used in modifying he values of endurance limi while in design under saic loading i simply acs as sress modifier. This means Acual sress= k calculaed sress. For ducile maerials under saic loading effec of sress concenraion is no very serious bu for brile maerials even for saic loading i is imporan. I is found ha some maerials are no very sensiive o he exisence of noches or disconinuiy. In such cases i is no necessary o use he full value of k and

7 insead a reduced value is needed. This is given by a facor known as faigue srengh reducion facor k f and his is defined as k f Endurance lim i of noch free specimens = Endurance lim i of noched specimens Anoher erm called Noch sensiiviy facor, q is ofen used in design and his is defined as k 1 = f q k 1 The value of q usually lies beween 0 and 1. If q=0, k f =1 and his indicaes no noch sensiiviy. If however q=1, hen k f = k and his indicaes full noch sensiiviy. Design chars for q can be found in design hand-books and knowing k, k f may be obained. A ypical se of noch sensiiviy curves for seel is shown in figure F- Variaion of noch sensiiviy wih noch radius for seels of differen ulimae ensile srengh (Ref.[2]).

8 3.2.2 Mehods of reducing sress concenraion A number of mehods are available o reduce sress concenraion in machine pars. Some of hem are as follows: 1. Provide a fille radius so ha he cross-secion may change gradually. 2. Someimes an ellipical fille is also used. 3. If a noch is unavoidable i is beer o provide a number of small noches raher han a long one. This reduces he sress concenraion o a large exen. 4. If a projecion is unavoidable from design consideraions i is preferable o provide a narrow noch han a wide noch. 5. Sress relieving groove are someimes provided. These are demonsraed in figure (a) Force flow around a sharp corner Force flow around a corner wih fille: Low sress concenraion. (b) Force flow around a large noch Force flow around a number of small noches: Low sress concenraion.

9 (c) Force flow around a wide projecion Force flow around a narrow projecion: Low sress concenraion. (d) Force flow around a sudden change in diameer in a shaf Force flow around a sress relieving groove F- Illusraions of differen mehods o reduce sress concenraion (Ref.[1]) Theoreical basis of sress concenraion Consider a plae wih a hole aced upon by a sress. S. Veran s principle saes ha if a sysem of forces is replaced by anoher saically equivalen sysem of forces hen he sresses and displacemens a poins remoe from he region concerned are unaffeced. In figure a is he radius of he hole and a r=b, b>>a he sresses are no affeced by he presence of he hole.

10 y a Q P b x F- A plae wih a cenral hole subjeced o a uni-axial sress Here, x =, y = 0, τ xy = 0 For plane sress condiions: = cos θ+ sin θ+ 2τ cosθsinθ 2 2 r x y xy = sin θ+ cos θ 2τ cosθsinθ θ 2 2 x y xy ( ) sin cos ( cos 2 sin 2 ) τ = θ θ+τ θ θ rθ x y xy This reduces o 2 r =cos θ= ( cos2θ+ 1) = + cos2θ θ = sin θ= ( 1 cos2θ ) = cos2θ τ rθ = sin2θ 2 such ha 1 s componen in r and θ is consan and he second componen varies wih θ. Similar argumen holds for τ rθ if we wrie τ rθ = sin 2θ. The 2 sress disribuion wihin he ring wih inner radius r i = a and ouer radius r o due o 1 s componen can be analyzed using he soluions of hick cylinders and = b

11 he effec due o he 2 nd componen can be analyzed following he Sress-funcion approach. Using a sress funcion of he form φ = ( ) Rrcos2θ he sress disribuion due o he 2 nd componen can be found and i was noed ha he dominan sress is he Hoop Sress, given by 2 4 a 3a θ = 1+ 1 cos θ 2 r 2 r This is maximum a θ=±π 2 and he maximum value of 2 4 a 3a θ = r r Therefore a poins P and Q where r = a θ is maximum and is given by θ = 3 i.e. sress concenraion facor is Problems wih Answers Q.1: The fla bar shown in figure is 10 mm hick and is pulled by a force P producing a oal change in lengh of 0.2 mm. Deermine he maximum sress developed in he bar. Take E= 200 GPa. Fille wih sress concenraion facor 2.5 Hole wih sress concenraion facor 2 50 mm 25 mm 25 mm P Fille wih sress concenraion facor mm 300 mm 250 mm F A.1: Toal change in lengh of he bar is made up of hree componens and his is given by 0.2x P = x x x x10 3 This gives P= KN. 9

12 Sress a he shoulder s =k ( )x0.01 where k=2. This gives h = MPa. Q.2: Find he maximum sress developed in a sepped shaf subjeced o a wising momen of 100 Nm as shown in figure Wha would be he maximum sress developed if a bending momen of 150 Nm is applied F r = 6 mm d = 30 mm D = 40 mm. A.2: Referring o he sress- concenraion plos in figure for sepped shafs subjeced o orsion for r/d = 0.2 and D/d = 1.33, K T Torsional shear sress is given by τ=. Considering he smaller diameer and π 3 d he sress concenraion effec a he sep, we have he maximum shear sress as τ = K 16x100 π ( 0.03) max 3 This gives τ max = MPa. Similarly referring o sress-concenraion plos in figure for sepped shaf subjeced o bending, for r/d = 0.2 and D/d = 1.33, K M Bending sress is given by = πd 3 Considering he smaller diameer and he effec of sress concenraion a he sep, we have he maximum bending sress as = K 32x150 π max 3 ( 0.03) This gives max = MPa.

13 F- Variaion of heoreical sress concenraion facor wih r/d for a sepped shaf subjeced o orsion (Ref.[5]) F- Variaion of heoreical sress concenraion facor wih r/d for a sepped shaf subjeced o a bending momen (Ref.[5]). Q.3: In he plae shown in figure i is required ha he sress concenraion a Hole does no exceed ha a he fille. Deermine he hole diameer.

14 5 mm 100 mm d' 50 mm P F A.3: Referring o sress-concenraion plos for plaes wih filles under axial loading (figure ) for r/d = 0.1 and D/d = 2, sress concenraion facor, K 2.3. From sress concenraion plos for plaes wih a hole of diameer d under axial loading ( figure ) we have for K = 2.3, d /D = This gives he hole diameer d = 35 mm F- Variaion of heoreical sress concenraion facor wih r/d for a plae wih filles subjeced o a uni-axial loading (Ref.[5]).

15 F- Variaion of heoreical sress concenraion facor wih d/w for a plae wih a ransverse hole subjeced o a uni-axial loading (Ref.[5]) Summary of his Lesson Sress concenraion for differen geomeric configuraions and is relaion o faigue srengh reducion facor and noch sensiiviy have been discussed. Mehods of reducing sress concenraion have been demonsraed and a heoreical basis for sress concenraion was considered.

A = p 4 (0.05)2 = 1.9635(10-3 ) m 2. J = p 2 (0.025)4 = 0.61359(10-4 ) m 4. s = P A = 2(10 3 ) 1.9635(10-3 = 1.019 MPa. t = Tc J = 500(0.

A = p 4 (0.05)2 = 1.9635(10-3 ) m 2. J = p 2 (0.025)4 = 0.61359(10-4 ) m 4. s = P A = 2(10 3 ) 1.9635(10-3 = 1.019 MPa. t = Tc J = 500(0. 014 Pearson Educaion, Inc., Upper Saddle River, NJ. All righs reserved. This maerial is proeced under all copyrigh laws as hey currenly exis. No porion of his maerial may be reproduced, in any form or

More information

Mechanical Fasteners Tensile and Shear Stress Areas

Mechanical Fasteners Tensile and Shear Stress Areas Mechanical Faseners Tensile and Shear Sress reas Lecure 28 Engineering 473 Machine Design Threaded Faseners Bol Threaded fasener designed o pass hrough holes in maing members and o be secured by ighening

More information

Torsion of Closed Thin Wall (CTW) Sections

Torsion of Closed Thin Wall (CTW) Sections 9 orsion of losed hin Wall (W) Secions 9 1 Lecure 9: ORSION OF LOSED HIN WALL (W) SEIONS ALE OF ONENS Page 9.1 Inroducion..................... 9 3 9.2 losed W Secions.................. 9 3 9.3 Examples......................

More information

The Torsion of Thin, Open Sections

The Torsion of Thin, Open Sections EM 424: Torsion of hin secions 26 The Torsion of Thin, Open Secions The resuls we obained for he orsion of a hin recangle can also be used be used, wih some qualificaions, for oher hin open secions such

More information

Chapter 8: Regression with Lagged Explanatory Variables

Chapter 8: Regression with Lagged Explanatory Variables Chaper 8: Regression wih Lagged Explanaory Variables Time series daa: Y for =1,..,T End goal: Regression model relaing a dependen variable o explanaory variables. Wih ime series new issues arise: 1. One

More information

Form measurement systems from Hommel-Etamic Geometrical tolerancing in practice DKD-K-02401. Precision is our business.

Form measurement systems from Hommel-Etamic Geometrical tolerancing in practice DKD-K-02401. Precision is our business. Form measuremen sysems from Hommel-Eamic Geomerical olerancing in pracice DKD-K-02401 Precision is our business. Drawing enries Tolerance frame 0.01 0.01 Daum leer Tolerance value in mm Symbol for he oleranced

More information

TORSIONAL SECTION PROPERTIES OF STEEL SHAPES

TORSIONAL SECTION PROPERTIES OF STEEL SHAPES TORSIONAL SECTION PROPERTIES OF STEEL SHAPES Canadian Insiue of Seel Consrucion, 00 Conens Page Inroducion.............................................................. S. Venan Torsional Consan................................................

More information

Machine Design II Prof. K.Gopinath & Prof. M.M.Mayuram. Flywheel. A flywheel is an inertial energy-storage device. It absorbs mechanical

Machine Design II Prof. K.Gopinath & Prof. M.M.Mayuram. Flywheel. A flywheel is an inertial energy-storage device. It absorbs mechanical Flywheel A lywheel is an inerial energy-sorage device. I absorbs mechanical energy and serves as a reservoir, soring energy during he period when he supply o energy is more han he requiremen and releases

More information

Mathematics in Pharmacokinetics What and Why (A second attempt to make it clearer)

Mathematics in Pharmacokinetics What and Why (A second attempt to make it clearer) Mahemaics in Pharmacokineics Wha and Why (A second aemp o make i clearer) We have used equaions for concenraion () as a funcion of ime (). We will coninue o use hese equaions since he plasma concenraions

More information

Appendix A: Area. 1 Find the radius of a circle that has circumference 12 inches.

Appendix A: Area. 1 Find the radius of a circle that has circumference 12 inches. Appendi A: Area worked-ou s o Odd-Numbered Eercises Do no read hese worked-ou s before aemping o do he eercises ourself. Oherwise ou ma mimic he echniques shown here wihou undersanding he ideas. Bes wa

More information

Acceleration Lab Teacher s Guide

Acceleration Lab Teacher s Guide Acceleraion Lab Teacher s Guide Objecives:. Use graphs of disance vs. ime and velociy vs. ime o find acceleraion of a oy car.. Observe he relaionship beween he angle of an inclined plane and he acceleraion

More information

Random Walk in 1-D. 3 possible paths x vs n. -5 For our random walk, we assume the probabilities p,q do not depend on time (n) - stationary

Random Walk in 1-D. 3 possible paths x vs n. -5 For our random walk, we assume the probabilities p,q do not depend on time (n) - stationary Random Walk in -D Random walks appear in many cones: diffusion is a random walk process undersanding buffering, waiing imes, queuing more generally he heory of sochasic processes gambling choosing he bes

More information

Chapter 2: Principles of steady-state converter analysis

Chapter 2: Principles of steady-state converter analysis Chaper 2 Principles of Seady-Sae Converer Analysis 2.1. Inroducion 2.2. Inducor vol-second balance, capacior charge balance, and he small ripple approximaion 2.3. Boos converer example 2.4. Cuk converer

More information

Molding. Injection. Design. GE Plastics. GE Engineering Thermoplastics DESIGN GUIDE

Molding. Injection. Design. GE Plastics. GE Engineering Thermoplastics DESIGN GUIDE apple GE Plasics GE Engineering Thermoplasics DESIGN GUIDE Wall Thickness Paring Lines Ejecion Appearance Pars Ribs/Gusses Bosses Holes Depressions Radii, Filles and Corners Molding Design Injecion s for

More information

SOLID MECHANICS TUTORIAL GEAR SYSTEMS. This work covers elements of the syllabus for the Edexcel module 21722P HNC/D Mechanical Principles OUTCOME 3.

SOLID MECHANICS TUTORIAL GEAR SYSTEMS. This work covers elements of the syllabus for the Edexcel module 21722P HNC/D Mechanical Principles OUTCOME 3. SOLI MEHNIS TUTORIL GER SYSTEMS This work covers elemens of he syllabus for he Edexcel module 21722P HN/ Mechanical Principles OUTOME 3. On compleion of his shor uorial you should be able o do he following.

More information

PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE

PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE Profi Tes Modelling in Life Assurance Using Spreadshees PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE Erik Alm Peer Millingon 2004 Profi Tes Modelling in Life Assurance Using Spreadshees

More information

Capacitors and inductors

Capacitors and inductors Capaciors and inducors We coninue wih our analysis of linear circuis by inroducing wo new passive and linear elemens: he capacior and he inducor. All he mehods developed so far for he analysis of linear

More information

µ r of the ferrite amounts to 1000...4000. It should be noted that the magnetic length of the + δ

µ r of the ferrite amounts to 1000...4000. It should be noted that the magnetic length of the + δ Page 9 Design of Inducors and High Frequency Transformers Inducors sore energy, ransformers ransfer energy. This is he prime difference. The magneic cores are significanly differen for inducors and high

More information

Forecasting, Ordering and Stock- Holding for Erratic Demand

Forecasting, Ordering and Stock- Holding for Erratic Demand ISF 2002 23 rd o 26 h June 2002 Forecasing, Ordering and Sock- Holding for Erraic Demand Andrew Eaves Lancaser Universiy / Andalus Soluions Limied Inroducion Erraic and slow-moving demand Demand classificaion

More information

cooking trajectory boiling water B (t) microwave 0 2 4 6 8 101214161820 time t (mins)

cooking trajectory boiling water B (t) microwave 0 2 4 6 8 101214161820 time t (mins) Alligaor egg wih calculus We have a large alligaor egg jus ou of he fridge (1 ) which we need o hea o 9. Now here are wo accepable mehods for heaing alligaor eggs, one is o immerse hem in boiling waer

More information

Design of a Composite Drive Shaft and its Coupling for Automotive Application

Design of a Composite Drive Shaft and its Coupling for Automotive Application Design of a Composie Drive Shaf and is Coupling for uomoive pplicaion M.R. Khoshravan,. Paykani * Deparmen of Mechanical ngineering, Parand Branch, Islamic zad Universiy Parand, Iran *a.paykani@gmail.com

More information

CHARGE AND DISCHARGE OF A CAPACITOR

CHARGE AND DISCHARGE OF A CAPACITOR REFERENCES RC Circuis: Elecrical Insrumens: Mos Inroducory Physics exs (e.g. A. Halliday and Resnick, Physics ; M. Sernheim and J. Kane, General Physics.) This Laboraory Manual: Commonly Used Insrumens:

More information

The Transport Equation

The Transport Equation The Transpor Equaion Consider a fluid, flowing wih velociy, V, in a hin sraigh ube whose cross secion will be denoed by A. Suppose he fluid conains a conaminan whose concenraion a posiion a ime will be

More information

Entropy: From the Boltzmann equation to the Maxwell Boltzmann distribution

Entropy: From the Boltzmann equation to the Maxwell Boltzmann distribution Enropy: From he Bolzmann equaion o he Maxwell Bolzmann disribuion A formula o relae enropy o probabiliy Ofen i is a lo more useful o hink abou enropy in erms of he probabiliy wih which differen saes are

More information

Chapter 6: Business Valuation (Income Approach)

Chapter 6: Business Valuation (Income Approach) Chaper 6: Business Valuaion (Income Approach) Cash flow deerminaion is one of he mos criical elemens o a business valuaion. Everyhing may be secondary. If cash flow is high, hen he value is high; if he

More information

MTH6121 Introduction to Mathematical Finance Lesson 5

MTH6121 Introduction to Mathematical Finance Lesson 5 26 MTH6121 Inroducion o Mahemaical Finance Lesson 5 Conens 2.3 Brownian moion wih drif........................... 27 2.4 Geomeric Brownian moion........................... 28 2.5 Convergence of random

More information

Module 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur

Module 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur Module 4 Single-phase A circuis ersion EE T, Kharagpur esson 5 Soluion of urren in A Series and Parallel ircuis ersion EE T, Kharagpur n he las lesson, wo poins were described:. How o solve for he impedance,

More information

Fatigue in Dental Implants

Fatigue in Dental Implants Faigue in Denal Implans J. M. Ayllón, C. Navarro, J. Vázquez and J. Domínguez Deparameno de Ingeniería Mecánica y de los Maeriales, Escuela Superior de Ingenieros. Camino de los Descubrimienos s/n, 41092,

More information

Chabot College Physics Lab RC Circuits Scott Hildreth

Chabot College Physics Lab RC Circuits Scott Hildreth Chabo College Physics Lab Circuis Sco Hildreh Goals: Coninue o advance your undersanding of circuis, measuring resisances, currens, and volages across muliple componens. Exend your skills in making breadboard

More information

1. y 5y + 6y = 2e t Solution: Characteristic equation is r 2 5r +6 = 0, therefore r 1 = 2, r 2 = 3, and y 1 (t) = e 2t,

1. y 5y + 6y = 2e t Solution: Characteristic equation is r 2 5r +6 = 0, therefore r 1 = 2, r 2 = 3, and y 1 (t) = e 2t, Homework6 Soluions.7 In Problem hrough 4 use he mehod of variaion of parameers o find a paricular soluion of he given differenial equaion. Then check your answer by using he mehod of undeermined coeffiens..

More information

STUDY ON THE GRAVIMETRIC MEASUREMENT OF THE SWELLING BEHAVIORS OF POLYMER FILMS

STUDY ON THE GRAVIMETRIC MEASUREMENT OF THE SWELLING BEHAVIORS OF POLYMER FILMS 452 Rev. Adv. Maer. Sci. 33 (2013) 452-458 J. Liu, X.J. Zheng and K.Y. Tang STUDY ON THE GRAVIMETRIC MEASUREMENT OF THE SWELLING BEHAVIORS OF POLYMER FILMS J. Liu, X. J. Zheng and K. Y. Tang College of

More information

5.8 Resonance 231. The study of vibrating mechanical systems ends here with the theory of pure and practical resonance.

5.8 Resonance 231. The study of vibrating mechanical systems ends here with the theory of pure and practical resonance. 5.8 Resonance 231 5.8 Resonance The sudy of vibraing mechanical sysems ends here wih he heory of pure and pracical resonance. Pure Resonance The noion of pure resonance in he differenial equaion (1) ()

More information

Individual Health Insurance April 30, 2008 Pages 167-170

Individual Health Insurance April 30, 2008 Pages 167-170 Individual Healh Insurance April 30, 2008 Pages 167-170 We have received feedback ha his secion of he e is confusing because some of he defined noaion is inconsisen wih comparable life insurance reserve

More information

Behaviour of Corroded Stud Shear Connectors under Fatigue Loading

Behaviour of Corroded Stud Shear Connectors under Fatigue Loading 5h Inernaional Conference on Durabiliy of Concree Srucures Jun 30 Jul 1, 2016 Shenzhen Universiy, Shenzhen, Guangdong Province, P.R.China Behaviour of Corroded Sud Shear Connecors under Faigue Loading

More information

Duration and Convexity ( ) 20 = Bond B has a maturity of 5 years and also has a required rate of return of 10%. Its price is $613.

Duration and Convexity ( ) 20 = Bond B has a maturity of 5 years and also has a required rate of return of 10%. Its price is $613. Graduae School of Business Adminisraion Universiy of Virginia UVA-F-38 Duraion and Convexiy he price of a bond is a funcion of he promised paymens and he marke required rae of reurn. Since he promised

More information

UNIT 3 POWER TRANSMISSION DEVICES

UNIT 3 POWER TRANSMISSION DEVICES UNI 3 POWER RANSMISSION DEVIES Power ransmission Devices Srucure 3. Inroducion Objecives 3. Power ransmission Devices 3.. Bels 3.. hain 3..3 Gears 3.3 ransmission Screw 3.4 Power ransmission by Bels 3.4.

More information

17 Laplace transform. Solving linear ODE with piecewise continuous right hand sides

17 Laplace transform. Solving linear ODE with piecewise continuous right hand sides 7 Laplace ransform. Solving linear ODE wih piecewise coninuous righ hand sides In his lecure I will show how o apply he Laplace ransform o he ODE Ly = f wih piecewise coninuous f. Definiion. A funcion

More information

Making a Faster Cryptanalytic Time-Memory Trade-Off

Making a Faster Cryptanalytic Time-Memory Trade-Off Making a Faser Crypanalyic Time-Memory Trade-Off Philippe Oechslin Laboraoire de Securié e de Crypographie (LASEC) Ecole Polyechnique Fédérale de Lausanne Faculé I&C, 1015 Lausanne, Swizerland philippe.oechslin@epfl.ch

More information

CLASSIFICATION OF REINSURANCE IN LIFE INSURANCE

CLASSIFICATION OF REINSURANCE IN LIFE INSURANCE CLASSIFICATION OF REINSURANCE IN LIFE INSURANCE Kaarína Sakálová 1. Classificaions of reinsurance There are many differen ways in which reinsurance may be classified or disinguished. We will discuss briefly

More information

Communication Networks II Contents

Communication Networks II Contents 3 / 1 -- Communicaion Neworks II (Görg) -- www.comnes.uni-bremen.de Communicaion Neworks II Conens 1 Fundamenals of probabiliy heory 2 Traffic in communicaion neworks 3 Sochasic & Markovian Processes (SP

More information

Full EHD-SIMPACK-Tower Analysis of a Flexible Conrod

Full EHD-SIMPACK-Tower Analysis of a Flexible Conrod Full EHD-SIMPACK-Tower Analysis of a Flexible Conrod Jochen Lang, IST GmbH, Aachen 19.05.2011 Agenda 1. SIMPACK-TOWER EHD-Inerface - Overall Concep - Elasohydrodynamic - Mixed Lubricaion Regime 3. TOWER

More information

Rotational Inertia of a Point Mass

Rotational Inertia of a Point Mass Roaional Ineria of a Poin Mass Saddleback College Physics Deparmen, adaped from PASCO Scienific PURPOSE The purpose of his experimen is o find he roaional ineria of a poin experimenally and o verify ha

More information

Chapter 9 Bond Prices and Yield

Chapter 9 Bond Prices and Yield Chaper 9 Bond Prices and Yield Deb Classes: Paymen ype A securiy obligaing issuer o pay ineress and principal o he holder on specified daes, Coupon rae or ineres rae, e.g. 4%, 5 3/4%, ec. Face, par value

More information

A Probability Density Function for Google s stocks

A Probability Density Function for Google s stocks A Probabiliy Densiy Funcion for Google s socks V.Dorobanu Physics Deparmen, Poliehnica Universiy of Timisoara, Romania Absrac. I is an approach o inroduce he Fokker Planck equaion as an ineresing naural

More information

Idealistic characteristics of Islamic Azad University masters - Islamshahr Branch from Students Perspective

Idealistic characteristics of Islamic Azad University masters - Islamshahr Branch from Students Perspective Available online a www.pelagiaresearchlibrary.com European Journal Experimenal Biology, 202, 2 (5):88789 ISSN: 2248 925 CODEN (USA): EJEBAU Idealisic characerisics Islamic Azad Universiy masers Islamshahr

More information

SELF-EVALUATION FOR VIDEO TRACKING SYSTEMS

SELF-EVALUATION FOR VIDEO TRACKING SYSTEMS SELF-EVALUATION FOR VIDEO TRACKING SYSTEMS Hao Wu and Qinfen Zheng Cenre for Auomaion Research Dep. of Elecrical and Compuer Engineering Universiy of Maryland, College Park, MD-20742 {wh2003, qinfen}@cfar.umd.edu

More information

LEASING VERSUSBUYING

LEASING VERSUSBUYING LEASNG VERSUSBUYNG Conribued by James D. Blum and LeRoy D. Brooks Assisan Professors of Business Adminisraion Deparmen of Business Adminisraion Universiy of Delaware Newark, Delaware The auhors discuss

More information

Journal Of Business & Economics Research September 2005 Volume 3, Number 9

Journal Of Business & Economics Research September 2005 Volume 3, Number 9 Opion Pricing And Mone Carlo Simulaions George M. Jabbour, (Email: jabbour@gwu.edu), George Washingon Universiy Yi-Kang Liu, (yikang@gwu.edu), George Washingon Universiy ABSTRACT The advanage of Mone Carlo

More information

Morningstar Investor Return

Morningstar Investor Return Morningsar Invesor Reurn Morningsar Mehodology Paper Augus 31, 2010 2010 Morningsar, Inc. All righs reserved. The informaion in his documen is he propery of Morningsar, Inc. Reproducion or ranscripion

More information

Period 4 Activity Solutions: Transfer of Thermal Energy

Period 4 Activity Solutions: Transfer of Thermal Energy Period 4 Aciviy Soluions: Transfer of Thermal nergy 4.1 How Does Temperaure Differ from Thermal nergy? a) Temperaure Your insrucor will demonsrae molecular moion a differen emperaures. 1) Wha happens o

More information

USE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES

USE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES USE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES Mehme Nuri GÖMLEKSİZ Absrac Using educaion echnology in classes helps eachers realize a beer and more effecive learning. In his sudy 150 English eachers were

More information

AP Calculus BC 2010 Scoring Guidelines

AP Calculus BC 2010 Scoring Guidelines AP Calculus BC Scoring Guidelines The College Board The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and opporuniy. Founded in, he College Board

More information

2. Dissipation mechanisms: Resistive Eddy currents Flux pinning Coupling currents

2. Dissipation mechanisms: Resistive Eddy currents Flux pinning Coupling currents AC loss par I Fedor Gömöry Insiue of Elecrical Engineering Slovak Academy of Sciences Dubravska cesa 9, 84101 raislava, Slovakia elekgomo@savba.sk www.elu.sav.sk Ouline of Par I: 1. Wha is AC loss 2. Dissipaion

More information

Single-machine Scheduling with Periodic Maintenance and both Preemptive and. Non-preemptive jobs in Remanufacturing System 1

Single-machine Scheduling with Periodic Maintenance and both Preemptive and. Non-preemptive jobs in Remanufacturing System 1 Absrac number: 05-0407 Single-machine Scheduling wih Periodic Mainenance and boh Preempive and Non-preempive jobs in Remanufacuring Sysem Liu Biyu hen Weida (School of Economics and Managemen Souheas Universiy

More information

AP Calculus AB 2010 Scoring Guidelines

AP Calculus AB 2010 Scoring Guidelines AP Calculus AB 1 Scoring Guidelines The College Board The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and opporuniy. Founded in 1, he College

More information

The Real Business Cycle paradigm. The RBC model emphasizes supply (technology) disturbances as the main source of

The Real Business Cycle paradigm. The RBC model emphasizes supply (technology) disturbances as the main source of Prof. Harris Dellas Advanced Macroeconomics Winer 2001/01 The Real Business Cycle paradigm The RBC model emphasizes supply (echnology) disurbances as he main source of macroeconomic flucuaions in a world

More information

HSS Hollow. Structural Sections DIMENSIONS AND SECTION PROPERTIES HSS: TECHNICAL BROCHURE

HSS Hollow. Structural Sections DIMENSIONS AND SECTION PROPERTIES HSS: TECHNICAL BROCHURE HSS Hollow Srucural Secions DIMENSIONS AND SETION PROPERTIES HSS: TEHNIAL BROHURE 01 Seel Tube Insiue 516 Waukegan Road, Suie 17 Glenview, IL 6005 TEL: 87.61.1701 FA: 87.660.7981 Technical Brochure: Dimensions

More information

AP Calculus AB 2013 Scoring Guidelines

AP Calculus AB 2013 Scoring Guidelines AP Calculus AB 1 Scoring Guidelines The College Board The College Board is a mission-driven no-for-profi organizaion ha connecs sudens o college success and opporuniy. Founded in 19, he College Board was

More information

Using RCtime to Measure Resistance

Using RCtime to Measure Resistance Basic Express Applicaion Noe Using RCime o Measure Resisance Inroducion One common use for I/O pins is o measure he analog value of a variable resisance. Alhough a buil-in ADC (Analog o Digial Converer)

More information

RC, RL and RLC circuits

RC, RL and RLC circuits Name Dae Time o Complee h m Parner Course/ Secion / Grade RC, RL and RLC circuis Inroducion In his experimen we will invesigae he behavior of circuis conaining combinaions of resisors, capaciors, and inducors.

More information

DYNAMIC MODELS FOR VALUATION OF WRONGFUL DEATH PAYMENTS

DYNAMIC MODELS FOR VALUATION OF WRONGFUL DEATH PAYMENTS DYNAMIC MODELS FOR VALUATION OF WRONGFUL DEATH PAYMENTS Hong Mao, Shanghai Second Polyechnic Universiy Krzyszof M. Osaszewski, Illinois Sae Universiy Youyu Zhang, Fudan Universiy ABSTRACT Liigaion, exper

More information

Design and Development of Torque Testing Rig for a Gearbox

Design and Development of Torque Testing Rig for a Gearbox Design and Developmen of Torque Tesing Rig for a Gearbox Amrua Lomae 1, Suhas ohie, and Rahul Shinde 3 1 echanical Deparmen, Bharai Vidhyapeeh, College of Engineering, Pune, aharashra Amu384@yahoo.co.in

More information

II.1. Debt reduction and fiscal multipliers. dbt da dpbal da dg. bal

II.1. Debt reduction and fiscal multipliers. dbt da dpbal da dg. bal Quarerly Repor on he Euro Area 3/202 II.. Deb reducion and fiscal mulipliers The deerioraion of public finances in he firs years of he crisis has led mos Member Saes o adop sizeable consolidaion packages.

More information

Fatigue Life Prediction of a Hoop-Wrapped Composite CNG Cylinder Containing Surface Flaw

Fatigue Life Prediction of a Hoop-Wrapped Composite CNG Cylinder Containing Surface Flaw Inernaional Journal o Emerging Technology and Advanced Engineering Websie: www.ijeae.com (ISSN 2250-2459, ISO 9001:2008 Ceriied Journal, Volume 4, Issue 3, March 2014) Faigue Lie Predicion o a Hoop-Wrapped

More information

Planning Demand and Supply in a Supply Chain. Forecasting and Aggregate Planning

Planning Demand and Supply in a Supply Chain. Forecasting and Aggregate Planning Planning Demand and Supply in a Supply Chain Forecasing and Aggregae Planning 1 Learning Objecives Overview of forecasing Forecas errors Aggregae planning in he supply chain Managing demand Managing capaciy

More information

Establishing Prefabricated Wood I-Joist Composite EI

Establishing Prefabricated Wood I-Joist Composite EI July 008 Esablishing Prefabricaed Wood I- Composie EI INTRODUCTION Composie (glued/nailed) floors are common in boh residenial and commercial consrucion, and have been successfully designed by Prefabricaed

More information

Strategic Optimization of a Transportation Distribution Network

Strategic Optimization of a Transportation Distribution Network Sraegic Opimizaion of a Transporaion Disribuion Nework K. John Sophabmixay, Sco J. Mason, Manuel D. Rossei Deparmen of Indusrial Engineering Universiy of Arkansas 4207 Bell Engineering Cener Fayeeville,

More information

Imagine a Source (S) of sound waves that emits waves having frequency f and therefore

Imagine a Source (S) of sound waves that emits waves having frequency f and therefore heoreical Noes: he oppler Eec wih ound Imagine a ource () o sound waes ha emis waes haing requency and hereore period as measured in he res rame o he ource (). his means ha any eecor () ha is no moing

More information

Cointegration: The Engle and Granger approach

Cointegration: The Engle and Granger approach Coinegraion: The Engle and Granger approach Inroducion Generally one would find mos of he economic variables o be non-saionary I(1) variables. Hence, any equilibrium heories ha involve hese variables require

More information

Term Structure of Prices of Asian Options

Term Structure of Prices of Asian Options Term Srucure of Prices of Asian Opions Jirô Akahori, Tsuomu Mikami, Kenji Yasuomi and Teruo Yokoa Dep. of Mahemaical Sciences, Risumeikan Universiy 1-1-1 Nojihigashi, Kusasu, Shiga 525-8577, Japan E-mail:

More information

ANALYSIS AND COMPARISONS OF SOME SOLUTION CONCEPTS FOR STOCHASTIC PROGRAMMING PROBLEMS

ANALYSIS AND COMPARISONS OF SOME SOLUTION CONCEPTS FOR STOCHASTIC PROGRAMMING PROBLEMS ANALYSIS AND COMPARISONS OF SOME SOLUTION CONCEPTS FOR STOCHASTIC PROGRAMMING PROBLEMS R. Caballero, E. Cerdá, M. M. Muñoz and L. Rey () Deparmen of Applied Economics (Mahemaics), Universiy of Málaga,

More information

Why Did the Demand for Cash Decrease Recently in Korea?

Why Did the Demand for Cash Decrease Recently in Korea? Why Did he Demand for Cash Decrease Recenly in Korea? Byoung Hark Yoo Bank of Korea 26. 5 Absrac We explores why cash demand have decreased recenly in Korea. The raio of cash o consumpion fell o 4.7% in

More information

2.5 Life tables, force of mortality and standard life insurance products

2.5 Life tables, force of mortality and standard life insurance products Soluions 5 BS4a Acuarial Science Oford MT 212 33 2.5 Life ables, force of moraliy and sandard life insurance producs 1. (i) n m q represens he probabiliy of deah of a life currenly aged beween ages + n

More information

Mobile Broadband Rollout Business Case: Risk Analyses of the Forecast Uncertainties

Mobile Broadband Rollout Business Case: Risk Analyses of the Forecast Uncertainties ISF 2009, Hong Kong, 2-24 June 2009 Mobile Broadband Rollou Business Case: Risk Analyses of he Forecas Uncerainies Nils Krisian Elnegaard, Telenor R&I Agenda Moivaion Modelling long erm forecass for MBB

More information

DYNAMICS MODEL FOR PREDICTING MAXIMUM AND TYPICAL ACCELERATION RATES OF PASSENGER VEHICLES. Matthew C. Snare

DYNAMICS MODEL FOR PREDICTING MAXIMUM AND TYPICAL ACCELERATION RATES OF PASSENGER VEHICLES. Matthew C. Snare DYNAMICS MODEL FOR PREDICTING MAXIMUM AND TYPICAL ACCELERATION RATES OF PASSENGER VEHICLES Mahew C. Snare Thesis submied o he Faculy of he Virginia Polyechnic Insiue and Sae Universiy in parial fulfillmen

More information

Information Theoretic Evaluation of Change Prediction Models for Large-Scale Software

Information Theoretic Evaluation of Change Prediction Models for Large-Scale Software Informaion Theoreic Evaluaion of Change Predicion Models for Large-Scale Sofware Mina Askari School of Compuer Science Universiy of Waerloo Waerloo, Canada maskari@uwaerloo.ca Ric Hol School of Compuer

More information

11/6/2013. Chapter 14: Dynamic AD-AS. Introduction. Introduction. Keeping track of time. The model s elements

11/6/2013. Chapter 14: Dynamic AD-AS. Introduction. Introduction. Keeping track of time. The model s elements Inroducion Chaper 14: Dynamic D-S dynamic model of aggregae and aggregae supply gives us more insigh ino how he economy works in he shor run. I is a simplified version of a DSGE model, used in cuing-edge

More information

Gradient Operation in HPLC. Dr. Shulamit Levin

Gradient Operation in HPLC. Dr. Shulamit Levin ien Operaion in HPLC Dr. Shulami Levin % Organic ien Operaion in HPLC Inroducion - Opimizing ien Separaions The following diagram illusraes he cycle ime parameers ha are used in a ypical grien Dr. Shulami

More information

INTRODUCTION TO FORECASTING

INTRODUCTION TO FORECASTING INTRODUCTION TO FORECASTING INTRODUCTION: Wha is a forecas? Why do managers need o forecas? A forecas is an esimae of uncerain fuure evens (lierally, o "cas forward" by exrapolaing from pas and curren

More information

MACROECONOMIC FORECASTS AT THE MOF A LOOK INTO THE REAR VIEW MIRROR

MACROECONOMIC FORECASTS AT THE MOF A LOOK INTO THE REAR VIEW MIRROR MACROECONOMIC FORECASTS AT THE MOF A LOOK INTO THE REAR VIEW MIRROR The firs experimenal publicaion, which summarised pas and expeced fuure developmen of basic economic indicaors, was published by he Minisry

More information

Inductance and Transient Circuits

Inductance and Transient Circuits Chaper H Inducance and Transien Circuis Blinn College - Physics 2426 - Terry Honan As a consequence of Faraday's law a changing curren hrough one coil induces an EMF in anoher coil; his is known as muual

More information

Two Compartment Body Model and V d Terms by Jeff Stark

Two Compartment Body Model and V d Terms by Jeff Stark Two Comparmen Body Model and V d Terms by Jeff Sark In a one-comparmen model, we make wo imporan assumpions: (1) Linear pharmacokineics - By his, we mean ha eliminaion is firs order and ha pharmacokineic

More information

Present Value Methodology

Present Value Methodology Presen Value Mehodology Econ 422 Invesmen, Capial & Finance Universiy of Washingon Eric Zivo Las updaed: April 11, 2010 Presen Value Concep Wealh in Fisher Model: W = Y 0 + Y 1 /(1+r) The consumer/producer

More information

Measuring the Effects of Exchange Rate Changes on Investment. in Australian Manufacturing Industry

Measuring the Effects of Exchange Rate Changes on Investment. in Australian Manufacturing Industry Measuring he Effecs of Exchange Rae Changes on Invesmen in Ausralian Manufacuring Indusry Robyn Swif Economics and Business Saisics Deparmen of Accouning, Finance and Economics Griffih Universiy Nahan

More information

Signal Processing and Linear Systems I

Signal Processing and Linear Systems I Sanford Universiy Summer 214-215 Signal Processing and Linear Sysems I Lecure 5: Time Domain Analysis of Coninuous Time Sysems June 3, 215 EE12A:Signal Processing and Linear Sysems I; Summer 14-15, Gibbons

More information

Motion Along a Straight Line

Motion Along a Straight Line Moion Along a Sraigh Line On Sepember 6, 993, Dave Munday, a diesel mechanic by rade, wen over he Canadian edge of Niagara Falls for he second ime, freely falling 48 m o he waer (and rocks) below. On his

More information

The Effect of Public Expenditure Shocks on Macroeconomic Variables in a Real Business Cycle Model. Case Study: Iran

The Effect of Public Expenditure Shocks on Macroeconomic Variables in a Real Business Cycle Model. Case Study: Iran 40 School of Docoral Sudies (European Union) Journal 2010 The Effec of Public Expendiure Shocks on Macroeconomic Variables in a Real Business Cycle Model. Case Sudy: Iran Khosrow Pyraee a, Gholam Reza

More information

12. TESTING OF CEMENT PART 1.

12. TESTING OF CEMENT PART 1. Chaper 12-Tesing of Cemen Par 1 12. TESTING OF CEMENT PART 1. 12.1 Densiy The densiy is he fundamenal physical characerisic of he maerial. Densiy is defined by mass of a uni volume of a maerial subsance,

More information

Chapter 2 Kinematics in One Dimension

Chapter 2 Kinematics in One Dimension Chaper Kinemaics in One Dimension Chaper DESCRIBING MOTION:KINEMATICS IN ONE DIMENSION PREVIEW Kinemaics is he sudy of how hings moe how far (disance and displacemen), how fas (speed and elociy), and how

More information

On alternative methods of determining Radius of Curvature using Newton s Rings set up

On alternative methods of determining Radius of Curvature using Newton s Rings set up Inernaional Leers of Chemisry, Physics and Asronomy Online: 0-03-5 ISSN: 99-3843, Vol. 48, pp 7-31 doi:10.1805/www.scipress.com/ilcpa.48.7 0 SciPress Ld., Swizerland On alernaive mehods of deermining Radius

More information

Chapter 1.6 Financial Management

Chapter 1.6 Financial Management Chaper 1.6 Financial Managemen Par I: Objecive ype quesions and answers 1. Simple pay back period is equal o: a) Raio of Firs cos/ne yearly savings b) Raio of Annual gross cash flow/capial cos n c) = (1

More information

Principal components of stock market dynamics. Methodology and applications in brief (to be updated ) Andrei Bouzaev, bouzaev@ya.

Principal components of stock market dynamics. Methodology and applications in brief (to be updated ) Andrei Bouzaev, bouzaev@ya. Principal componens of sock marke dynamics Mehodology and applicaions in brief o be updaed Andrei Bouzaev, bouzaev@ya.ru Why principal componens are needed Objecives undersand he evidence of more han one

More information

ARCH 2013.1 Proceedings

ARCH 2013.1 Proceedings Aricle from: ARCH 213.1 Proceedings Augus 1-4, 212 Ghislain Leveille, Emmanuel Hamel A renewal model for medical malpracice Ghislain Léveillé École d acuaria Universié Laval, Québec, Canada 47h ARC Conference

More information

INVENTORY COST CONSEQUENCES OF VARIABILITY DEMAND PROCESS WITHIN A MULTI-ECHELON SUPPLY CHAIN

INVENTORY COST CONSEQUENCES OF VARIABILITY DEMAND PROCESS WITHIN A MULTI-ECHELON SUPPLY CHAIN INVENTORY COST CONSEQUENCES OF VARIABILITY DEMAND PROCESS WITHIN A MULTI-ECHELON SUPPLY CHAIN Francisco Campuzano Bolarín Technical Universiy of Caragena Deparameno de Economía de la Empresa Campus Muralla

More information

Return Calculation of U.S. Treasury Constant Maturity Indices

Return Calculation of U.S. Treasury Constant Maturity Indices Reurn Calculaion of US Treasur Consan Mauri Indices Morningsar Mehodolog Paper Sepeber 30 008 008 Morningsar Inc All righs reserved The inforaion in his docuen is he proper of Morningsar Inc Reproducion

More information

Time-Expanded Sampling (TES) For Ensemble-based Data Assimilation Applied To Conventional And Satellite Observations

Time-Expanded Sampling (TES) For Ensemble-based Data Assimilation Applied To Conventional And Satellite Observations 27 h WAF/23 rd NWP, 29 June 3 July 2015, Chicago IL. 1 Time-Expanded Sampling (TES) For Ensemble-based Daa Assimilaion Applied To Convenional And Saellie Observaions Allen Zhao 1, Qin Xu 2, Yi Jin 1, Jusin

More information

ICS ; Supersedes ENV :1992. English version

ICS ; Supersedes ENV :1992. English version EUROPEA STADARD ORE EUROPÉEE EUROPÄISCHE OR E 1993-1-1 a 005 ICS 91.010.30; 91.080.10 Supersedes EV 1993-1-1:199 English version Eurocode 3: Design of seel srucures - Par 1-1: General rules and rules for

More information

Chapter 4: Exponential and Logarithmic Functions

Chapter 4: Exponential and Logarithmic Functions Chaper 4: Eponenial and Logarihmic Funcions Secion 4.1 Eponenial Funcions... 15 Secion 4. Graphs of Eponenial Funcions... 3 Secion 4.3 Logarihmic Funcions... 4 Secion 4.4 Logarihmic Properies... 53 Secion

More information

Stochastic Optimal Control Problem for Life Insurance

Stochastic Optimal Control Problem for Life Insurance Sochasic Opimal Conrol Problem for Life Insurance s. Basukh 1, D. Nyamsuren 2 1 Deparmen of Economics and Economerics, Insiue of Finance and Economics, Ulaanbaaar, Mongolia 2 School of Mahemaics, Mongolian

More information

Theoretical Analysis of Inverse Weibull Distribution

Theoretical Analysis of Inverse Weibull Distribution Theoreical Analysis of Inverse Weibull Disribuion M. SUAIB KAN Deparmen of saisics The Islamia universiy of Bahawalpur. e-mail: skn_8@yahoo.com G.R PASA Deparmen of saisics Bahauddin Zakariya Universiy

More information