MEG 741 Energy and Variational Methods in Mechanics I

Size: px
Start display at page:

Download "MEG 741 Energy and Variational Methods in Mechanics I"

Transcription

1 MEG 741 Energy and Variational Methods in Mechanics I Brendan J. O Toole, Ph.D. Associate Professor of Mechanical Engineering Howard R. Hughes College of Engineering University of Nevada Las Vegas TBE B-122 (702) bj@me.unlv.edu

2 First Day Class Outline Review Syllabus & Course Overview Mechanics of Materials Highlights Discuss Vectors, Tensors, & Matrices Chapter 1 from text

3 MEG 741 Energy and Variational Methods in Mechanics I Professor: Office: Fall Semester 2004 Brendan J. O'Toole, Ph.D. TBE B122 Phone: bj@me.unlv.edu Class: MW / 2:30 PM 3:45 PM / MPE 232 Text: Website: Mechanics of Structures: Variational and Computational Methods, 2 nd Edition, Pilkey & Wunderlich, CRC Press 2002, ISBN

4 MEG 741 Course Description and Objectives This course provides an overview of the fundamentals used to solve many types of solid mechanics problems. The material presented in the course provides a solid background for other courses such as Finite Element Analysis for Structural Applications, Advanced Strength of Materials, Theory of Plates and Shells, or Computational Solid Mechanics. The objective of the course is to develop a better understanding of the fundamental theories behind most solid mechanics solution methods. Students should be able to apply the fundamental analysis techniques to solve a variety of different truss, beam, and plate mechanics problems.

5 Course Outline (First Half) Class Dates Reading Lecture Topics HW 1 2 M 8/30 W 9/ Introduction: Vectors, Matrices, Tensors Definitions, Strain-Displacement Equations, Material Laws 3 M 9/6 W 9/ Labor Day Recess (No Class) Equilibrium, Boundary Conditions, Governing Equations 4 5 M 9/13 W 9/ Stress Analysis, Beam Theory & Torsion Work & Energy, Classical Variational Principles HW M 9/20 W 9/ Generalized Variational Principles Engineering Beam Theory 8 9 M 9/27 W 9/ App I Differential & Integral Forms of Gov. Eqns. Fundamentals of Variational Calculus 10 M 10/4 3.1 Virtual Work: Castigliano s Theorem HW 2 11 W 10/6 3.1 Virtual Work: Unit Displacement Method M 10/11 W 10/ Exam 1: Chapters 1 & 2 Complementary Virtual Work M 10/18 W 10/ Reciprocal Theorems Fundamental Relations for a Beam Element HW 3

6 Course Outline (Second Half) Class Dates Reading Lecture Topics HW M 10/25 W 10/ Element Matrices, Stiffness Matrices Transfer Matrices M 11/1 W 11/ Structural Systems, Displacement Method: Virtual Work Displacement Method: Direct Derivation, Stiffness Matrices HW M 11/8 W 11/ Displacement Method: Trusses & Frames Exam 2: Chapters 3 & M 11/15 W 11/ Force Method The Finite Element Method 24 M 11/ Plane Problems HW 5 25 W 11/ Trial Functions, Convergence, Accuracy M 11/29 W 12/ Numerical Integration, Isoparametric Elements Governing Differential Equations M 12/6 W 12/ Residual Methods Variational & Trial Function Methods HW 6 Final Exam Wednesday, December 15, 3:10 PM

7 Homework These assignments may be modified during the semester. Problems B1, B2, B3, etc. are additional assignments that do not correspond exactly to problems in the textbook.

8 Grading

9 Research Project Objective: Provide students the opportunity to thoroughly review and summarize a particular solid mechanics topic. Scope: Perform a detailed literature review on a particular topic. The review can contain information from textbooks, reference books, journal articles, conference proceedings, and websites. The review must include a minimum of 15 journal articles. Topics: All topics must be approved by Dr. O Toole. A list of topic ideas will be distributed during the second week of the semester.

10 Office Hours Office hours and a weekly schedule for Dr. O Toole will be posted on the following webpage by the start of week 2 of the semester.

11 Instructor: Dr. Brendan J. O Toole Education Ph.D. & M.S. in Mechanical Engineering, University of Delaware, Newark, DE, Dissertation: Modelling the Effect of Heterogeneity in Composite Structures Thesis: A Photoelastic Investigation of Crack-Inclusion Interaction B.S. in Mechanical and Aerospace Engineering, University of Delaware, Employment Associate Professor - Mechanical Engineering Dept., University of Nevada Las Vegas (8/92 - present) Teach undergraduate and graduate courses in: Solid mechanics, composite materials, experimental mechanics, design, and dynamics Conduct research in the following areas: experimental and computational solid mechanics, analysis, design, and fabrication of components and structures (emphasis on composites), mechanics of solid cellular foams: dynamic & static properties Program Manager Soldiers Future Force Electronics Reliability and Survivability Technology Program UNLV / U.S. Army Research Laboratory Cooperative Agreement (4/03 present) Director of Engineering High Pressure Science and Engineering Center University of Nevada Las Vegas (1/03 - present) Visiting Research Associate - Composites and Lightweight Structures Branch U.S. Army Research Laboratory, Aberdeen MD (10/01-4/02) Computational simulation of composite armor systems under ballistic impact loading. Visiting Research Engineer - Composites and Lightweight Structures Branch U.S. Army Research Laboratory, Aberdeen MD (7/00-8/00) Developed computer model for dynamic analysis of composite plates and ceramic tiles.

12 Active Projects for Dr. Brendan J. O Toole Development of a Reconfigurable Tooling System, 2Phase Technologies, Inc. Characterization of Reversible Epoxy Foams and Property Gradients in Polymeric Foams, Department of Energy Stockpile Stewardship Program Soldier FERST - Soldier s Objective Force Electronics Reliability and Survivability Technology Program, US Army Ballistic Shock Propagation Through Structural Joints Characterization of Honeycomb Shock Mitigators in an Experimental Gun Tube Design/Education Oriented Projects Human Powered Vehicle Design, ASME Competition Developing a Balloon Satellite Program, NASA Space Grant/EPSCoR Program High School First Robotics Competition, NASA Space Grant/EPSCoR Program Composite Blast Containment Vessels, Sandia National Laboratories Blast Loading on Vehicle Structures, DOD EPSCoR and UNLV Mechanistic Understanding of High-Temperature Deformation of Alloy EP-823 for Transmutation Applications, DOE Advanced Accelerator Applications Development of a Materials Performance Laboratory, DOE Advanced Accelerator Applications

13 Overview of Mechanics of Materials Introduction The prerequisite for this course is a fundamental undergraduate course in Civil or Mechanical Engineering similar to the UNLV course: MEG 302 Materials Mechanics Sometimes it is called: Strength of Materials or Mechanics of Materials

14 Typical Undergraduate Text

15 Instructor: Dr. Brendan J. O Toole, Ph.D. Professor: Brendan J. O'Toole, Ph.D. Office: TBE B122 Phone: bj@me.unlv.edu Days/Time/Room: TR / 11:30 AM 12:45 PM / BEH 108 Text: Mechanics of Materials, Beer, Johnston, & DeWolf McGraw Hill, 2002 O Toole Website: Course Website:

16 MEG 302 Course Objectives Learn the Vocabulary Improve Your Skill at Drawing Free Body Diagrams Learn About Material Behavior Learn How To Solve Mechanics Problems. This is the largest part of the class. The solution procedure for most mechanics problems involves one or more of the following tasks: A statics analysis of a component to find the internal reactions (forces & moments) Determine stresses and strains in a component based on internal reactions Find the deformation of the component Compare calculated values of stress & deformation with known acceptable values Improve Your Engineering Design Skills

17 Rigid Body Deformable Body Link Truss Normal Stress Shear Stress Bearing Stress Ultimate Stress Yield Stress Failure Stress Principal Stresses Normal Strain Shear Strain Failure Strain Yield Strain Shear Modulus Poisson s Ratio True Stress Engineering Stress True Strain Elastic Behavior Plastic Behavior Thermal Expansion Torsion Torque Angle of Twist Static Indeterminacy Power Pure Bending Area Moment of Inertia Polar Moment of Inertia Vocabulary This is a sampling of terms that are defined in the text. We will discuss them throughout the semester. You are expected to understand the meaning of these terms. You are also expected to know the correct units for material properties and other variables. Shear Force Diagram Bending Moment Diagram Transverse Shear Cantilever Beam Simply Supported Beam Clamped Beam Isotropic Anisotropic Homogeneous Prismatic Thin-Walled Member Pressure Vessel Combined Loading Stress Transformation Mohr s Circle Plane Stress Superposition Elastic Curve Column Buckling Euler Buckling Plane Strain Ductile Behavior Brittle Behavior Axial Stiffness 3-point Bending 4-point Bending Modulus of Elasticity Young s Modulus Modulus of Rigidity Principal Strains Flexural Stiffness

18 Free Body Diagrams Free Body Diagrams were first introduced in Physics and Statics courses. They are a powerful tool that help define the important loads, reactions, geometry, and coordinate system in a problem so that the correct equilibrium equations are defined and solved.

19 Axial Loading Example from Software CD included with textbook.

20 Material Response to Loading

21 RT EP U19 Stress vs Strain Tensile Test of EP Maraging Steel Stress (ksi) Strain

22 Torsion

23 Beams and Bending

24 Pressure Vessels & Design

25 Buckling

26 Overview of MEG 741 This class is a theoretical solid mechanics course. We will discuss general governing equations that can be applied to many solid mechanics problems. We will discuss several solution procedures for solving these governing equations. We will solve some specific types of problems: Truss structures Frame structures We will introduce structural analysis methods that define structural elements and matrices. We will introduce the finite element method for solving 2-dimensional problems

27 Overview of MEG 741 MEG 741 is not an applied finite element analysis course. We will not be learning how to use commercial FEA software programs in the class. Most (if not all) of the problems can be solved by hand calculations. Programs like MathCad or Matlab may be useful for solving some of the longer problems. FEA programs could be used to check your handcalculated solutions but this is not a requirement.

28 Example Problem Statically Indeterminate problems were introduced in undergraduate mechanics courses. Equilibrium equations alone do not provide enough information to solve some problems. Usually, some geometric phenomenon was considered in order to find another equation to use with the equations of equilibrium.

29 Example: Axial Load and Load Sharing

30 Example: Axial Load Displacement Equations

31 Example: Solving Axial Load Statically Indeterminate Problems

32 Example Related to MEG 741 The first part of MEG 741 discusses the general equations used to solve mechanics problems. These general equations provide a formal procedure for solving all mechanics problems, including statically indeterminate problems. The governing equations include: Equilibrium equations (e.g.: force balance) Kinematic Equations (relate strains to displacements) Material Laws (Hookes Law, constitutive relations)

ME 025 Mechanics of Materials

ME 025 Mechanics of Materials ME 025 Mechanics of Materials General Information: Term: 2019 Summer Session Instructor: Staff Language of Instruction: English Classroom: TBA Office Hours: TBA Class Sessions Per Week: 5 Total Weeks:

More information

Physical Science and Engineering. Course Information. Course Number: ME 100

Physical Science and Engineering. Course Information. Course Number: ME 100 Physical Science and Engineering Course Number: ME 100 Course Title: Course Information Basic Principles of Mechanics Academic Semester: Fall Academic Year: 2016-2017 Semester Start Date: 8/21/2016 Semester

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS STATICS AND MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr, John T. DeWolf David E Mazurek \Cawect Mc / iur/» Craw SugomcT Hilt Introduction 1 1.1 What is Mechanics? 2 1.2 Fundamental

More information

Montgomery County Community College EGR 213 Mechanics of Materials 3-2-2

Montgomery County Community College EGR 213 Mechanics of Materials 3-2-2 Montgomery County Community College EGR 213 Mechanics of Materials 3-2-2 COURSE DESCRIPTION: This course covers the deformation of beams and shafts using energy methods and structural analysis, the analysis

More information

CE 715: Advanced Strength of Materials

CE 715: Advanced Strength of Materials CE 715: Advanced Strength of Materials Lecture 1 CE 715 Course Information Instructor: Tasnim Hassan Office: Mann Hall 419 Office Hours: TTh 2:00-4:00 pm Phone: 515-8123 Email: thassan@eos.ncsu.edu 1 Course

More information

ME Final Exam. PROBLEM NO. 4 Part A (2 points max.) M (x) y. z (neutral axis) beam cross-sec+on. 20 kip ft. 0.2 ft. 10 ft. 0.1 ft.

ME Final Exam. PROBLEM NO. 4 Part A (2 points max.) M (x) y. z (neutral axis) beam cross-sec+on. 20 kip ft. 0.2 ft. 10 ft. 0.1 ft. ME 323 - Final Exam Name December 15, 2015 Instructor (circle) PROEM NO. 4 Part A (2 points max.) Krousgrill 11:30AM-12:20PM Ghosh 2:30-3:20PM Gonzalez 12:30-1:20PM Zhao 4:30-5:20PM M (x) y 20 kip ft 0.2

More information

ERM - Elasticity and Strength of Materials

ERM - Elasticity and Strength of Materials Coordinating unit: Teaching unit: Academic year: Degree: ECTS credits: 2018 205 - ESEIAAT - Terrassa School of Industrial, Aerospace and Audiovisual Engineering 712 - EM - Department of Mechanical Engineering

More information

Mechanics of Materials II. Chapter III. A review of the fundamental formulation of stress, strain, and deflection

Mechanics of Materials II. Chapter III. A review of the fundamental formulation of stress, strain, and deflection Mechanics of Materials II Chapter III A review of the fundamental formulation of stress, strain, and deflection Outline Introduction Assumtions and limitations Axial loading Torsion of circular shafts

More information

CE 221: MECHANICS OF SOLIDS I CHAPTER 1: STRESS. Dr. Krisada Chaiyasarn Department of Civil Engineering, Faculty of Engineering Thammasat university

CE 221: MECHANICS OF SOLIDS I CHAPTER 1: STRESS. Dr. Krisada Chaiyasarn Department of Civil Engineering, Faculty of Engineering Thammasat university CE 221: MECHANICS OF SOLIDS I CHAPTER 1: STRESS By Dr. Krisada Chaiyasarn Department of Civil Engineering, Faculty of Engineering Thammasat university Agenda Introduction to your lecturer Introduction

More information

INTERMEDIATE MECHANICS OF DEFORMABLE BODIES (58:150/51:151/53:140) Fall 2003

INTERMEDIATE MECHANICS OF DEFORMABLE BODIES (58:150/51:151/53:140) Fall 2003 INTERMEDIATE MECHANICS OF DEFORMABLE BODIES (58:150/51:151/53:140) Fall 2003 Instructor: Lecture: Office Hours: Sharif Rahman, 2140 SC, 335-5679, rahman@engineering.uiowa.edu WF, 3:30 4:45 pm at 3315 SC

More information

A. Objective of the Course: Objectives of introducing this subject at second year level in civil branches are: 1. Introduction 02

A. Objective of the Course: Objectives of introducing this subject at second year level in civil branches are: 1. Introduction 02 Subject Code: 0CL030 Subject Name: Mechanics of Solids B.Tech. II Year (Sem-3) Mechanical & Automobile Engineering Teaching Credits Examination Marks Scheme Theory Marks Practical Marks Total L 4 T 0 P

More information

Course Syllabus for CIVL 2110 STATICS Spring

Course Syllabus for CIVL 2110 STATICS Spring Course Syllabus for CIVL 2110 STATICS Spring 2016-2017 Instructor: email: ilias@ust.hk Dr. Ilias DIMITRAKOPOULOS room: 3583 tel: 2358-5975: office hours Wed, Fri: 11:00-12:00 Lectures: Wed, Fri 16:30-18:00

More information

202 Index. failure, 26 field equation, 122 force, 1

202 Index. failure, 26 field equation, 122 force, 1 Index acceleration, 12, 161 admissible function, 155 admissible stress, 32 Airy's stress function, 122, 124 d'alembert's principle, 165, 167, 177 amplitude, 171 analogy, 76 anisotropic material, 20 aperiodic

More information

Chapter 3. Load and Stress Analysis. Lecture Slides

Chapter 3. Load and Stress Analysis. Lecture Slides Lecture Slides Chapter 3 Load and Stress Analysis 2015 by McGraw Hill Education. This is proprietary material solely for authorized instructor use. Not authorized for sale or distribution in any manner.

More information

MECHANICS OF SOLIDS Credit Hours: 6

MECHANICS OF SOLIDS Credit Hours: 6 MECHANICS OF SOLIDS Credit Hours: 6 Teaching Scheme Theory Tutorials Practical Total Credit Hours/week 4 0 6 6 Marks 00 0 50 50 6 A. Objective of the Course: Objectives of introducing this subject at second

More information

TEMPLATE FOR COURSE SPECIFICATION

TEMPLATE FOR COURSE SPECIFICATION TEMPLATE FOR COURSE SPECIFICATION HIGHER EDUCATION PERFORMANCE REVIEW: PROGRAMME REVIEW COURSE SPECIFICATION This Course Specification provides a concise summary of the main features of the course and

More information

Department of Mechanical Engineering MECH 221 (with MECH 224 & MATH 255) Engineering Science I

Department of Mechanical Engineering MECH 221 (with MECH 224 & MATH 255) Engineering Science I Department of Mechanical Engineering MECH 221 (with MECH 224 & MATH 255) Engineering Science I Calendar Description: Rigid body kinetics and kinematics, basic electrical circuits, work and power, stress

More information

GATE SOLUTIONS E N G I N E E R I N G

GATE SOLUTIONS E N G I N E E R I N G GATE SOLUTIONS C I V I L E N G I N E E R I N G From (1987-018) Office : F-16, (Lower Basement), Katwaria Sarai, New Delhi-110016 Phone : 011-65064 Mobile : 81309090, 9711853908 E-mail: info@iesmasterpublications.com,

More information

Module 4 : Deflection of Structures Lecture 4 : Strain Energy Method

Module 4 : Deflection of Structures Lecture 4 : Strain Energy Method Module 4 : Deflection of Structures Lecture 4 : Strain Energy Method Objectives In this course you will learn the following Deflection by strain energy method. Evaluation of strain energy in member under

More information

CENTRAL TEXAS COLLEGE SYLLABUS FOR ENGR 2301 Engineering Mechanics - Statics. Semester Hours Credit: 3

CENTRAL TEXAS COLLEGE SYLLABUS FOR ENGR 2301 Engineering Mechanics - Statics. Semester Hours Credit: 3 CENTRAL TEXAS COLLEGE SYLLABUS FOR ENGR 2301 Engineering Mechanics - Statics Semester Hours Credit: 3 I. INTRODUCTION A. ENGR 2301, Engineering Mechanics Statics, is a three-semester hour course that is

More information

Bachelor of Technology Civil Engineering. 01CI0301: Mechanics of Solids

Bachelor of Technology Civil Engineering. 01CI0301: Mechanics of Solids 01CI0301: Mechanics of Solids Objective of the Course Objectives of introducing this subject at second year level in civil branches are: To study about identification of different types of forces, systematic

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS For updated version, please click on http://ocw.ump.edu.my MECHANICS OF MATERIALS COURSE INFORMATION by Nur Farhayu Binti Ariffin Faculty of Civil Engineering and Earth Resources farhayu@ump.edu.my MECHANICS

More information

MECHANICS OF AERO-STRUCTURES

MECHANICS OF AERO-STRUCTURES MECHANICS OF AERO-STRUCTURES Mechanics of Aero-structures is a concise textbook for students of aircraft structures, which covers aircraft loads and maneuvers, as well as torsion and bending of singlecell,

More information

QUESTION BANK DEPARTMENT: CIVIL SEMESTER: III SUBJECT CODE: CE2201 SUBJECT NAME: MECHANICS OF SOLIDS UNIT 1- STRESS AND STRAIN PART A

QUESTION BANK DEPARTMENT: CIVIL SEMESTER: III SUBJECT CODE: CE2201 SUBJECT NAME: MECHANICS OF SOLIDS UNIT 1- STRESS AND STRAIN PART A DEPARTMENT: CIVIL SUBJECT CODE: CE2201 QUESTION BANK SEMESTER: III SUBJECT NAME: MECHANICS OF SOLIDS UNIT 1- STRESS AND STRAIN PART A (2 Marks) 1. Define longitudinal strain and lateral strain. 2. State

More information

: APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4021 COURSE CATEGORY : A PERIODS/ WEEK : 5 PERIODS/ SEMESTER : 75 CREDIT : 5 TIME SCHEDULE

: APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4021 COURSE CATEGORY : A PERIODS/ WEEK : 5 PERIODS/ SEMESTER : 75 CREDIT : 5 TIME SCHEDULE COURSE TITLE : APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4021 COURSE CATEGORY : A PERIODS/ WEEK : 5 PERIODS/ SEMESTER : 75 CREDIT : 5 TIME SCHEDULE MODULE TOPIC PERIODS 1 Simple stresses

More information

KINGS COLLEGE OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK. Subject code/name: ME2254/STRENGTH OF MATERIALS Year/Sem:II / IV

KINGS COLLEGE OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK. Subject code/name: ME2254/STRENGTH OF MATERIALS Year/Sem:II / IV KINGS COLLEGE OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK Subject code/name: ME2254/STRENGTH OF MATERIALS Year/Sem:II / IV UNIT I STRESS, STRAIN DEFORMATION OF SOLIDS PART A (2 MARKS)

More information

SYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595. l. Course #: PHYSC NAME OF ORIGINATOR /REVISOR: ALENA O CONNOR

SYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595. l. Course #: PHYSC NAME OF ORIGINATOR /REVISOR: ALENA O CONNOR SYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595 l. Course #: PHYSC 121 2. NAME OF ORIGINATOR /REVISOR: ALENA O CONNOR NAME OF COURSE ENGINEERING PHYSICS 1 WITH LAB 3. CURRENT DATE: SUMMER

More information

Mechanical Engineering Ph.D. Preliminary Qualifying Examination Solid Mechanics February 25, 2002

Mechanical Engineering Ph.D. Preliminary Qualifying Examination Solid Mechanics February 25, 2002 student personal identification (ID) number on each sheet. Do not write your name on any sheet. #1. A homogeneous, isotropic, linear elastic bar has rectangular cross sectional area A, modulus of elasticity

More information

Structural Analysis. For. Civil Engineering.

Structural Analysis. For. Civil Engineering. Structural Analysis For Civil Engineering By www.thegateacademy.com ` Syllabus for Structural Analysis Syllabus Statically Determinate and Indeterminate Structures by Force/ Energy Methods; Method of Superposition;

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS 2009 The McGraw-Hill Companies, Inc. All rights reserved. Fifth SI Edition CHAPTER 3 MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf David F. Mazurek Torsion Lecture Notes:

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS Third E CHAPTER 2 Stress MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf Lecture Notes: J. Walt Oler Texas Tech University and Strain Axial Loading Contents Stress & Strain:

More information

BOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE 2 ND YEAR STUDENTS OF THE UACEG

BOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE 2 ND YEAR STUDENTS OF THE UACEG BOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE ND YEAR STUDENTS OF THE UACEG Assoc.Prof. Dr. Svetlana Lilkova-Markova, Chief. Assist. Prof. Dimitar Lolov Sofia, 011 STRENGTH OF MATERIALS GENERAL

More information

QUESTION BANK SEMESTER: III SUBJECT NAME: MECHANICS OF SOLIDS

QUESTION BANK SEMESTER: III SUBJECT NAME: MECHANICS OF SOLIDS QUESTION BANK SEMESTER: III SUBJECT NAME: MECHANICS OF SOLIDS UNIT 1- STRESS AND STRAIN PART A (2 Marks) 1. Define longitudinal strain and lateral strain. 2. State Hooke s law. 3. Define modular ratio,

More information

Bachelor of Technology Civil Engineering. 01CI0301: Mechanics of Solids

Bachelor of Technology Civil Engineering. 01CI0301: Mechanics of Solids 01CI0301: Mechanics of Solids Objective of the Course Objectives of introducing this subject at second year level in civil branches are: To study about identification of different types of forces, systematic

More information

Module 5: Theories of Failure

Module 5: Theories of Failure Module 5: Theories of Failure Objectives: The objectives/outcomes of this lecture on Theories of Failure is to enable students for 1. Recognize loading on Structural Members/Machine elements and allowable

More information

CO~RSEOUTL..INE. revisedjune 1981 by G. Frech. of..a.pqij~t(..~ttsa.fidteconol.q.gy. Sault ",Ste'...:M~ri,e.: SAUl. ir.ft\,nl~t';~l' G ". E b:.

CO~RSEOUTL..INE. revisedjune 1981 by G. Frech. of..a.pqij~t(..~ttsa.fidteconol.q.gy. Sault ,Ste'...:M~ri,e.: SAUl. ir.ft\,nl~t';~l' G . E b:. -/ 1/ /.. SAUl. ir.ft\,nl~t';~l' G ". E b:.~~~~~, of..a.pqij~t(..~ttsa.fidteconol.q.gy. Sault ",Ste'...:M~ri,e.: ',' -.\'~. ~ ;:T.., CO~RSEOUTL..INE ARCHITECTURAL ENGINEERING II ARC 200-4 revisedjune 1981

More information

Composite Structural Mechanics using MATLAB

Composite Structural Mechanics using MATLAB Session 2520 Composite Structural Mechanics using MATLAB Oscar Barton, Jr., Jacob B. Wallace United States Naval Academy Annapolis, Md 21402 Abstract In this paper MATLAB is adopted as the programming

More information

Jeff Brown Hope College, Department of Engineering, 27 Graves Pl., Holland, Michigan, USA UNESCO EOLSS

Jeff Brown Hope College, Department of Engineering, 27 Graves Pl., Holland, Michigan, USA UNESCO EOLSS MECHANICS OF MATERIALS Jeff Brown Hope College, Department of Engineering, 27 Graves Pl., Holland, Michigan, USA Keywords: Solid mechanics, stress, strain, yield strength Contents 1. Introduction 2. Stress

More information

STATE UNIVERSITY OF NEW YORK COLLEGE OF TECHNOLOGY CANTON, NEW YORK COURSE OUTLINE ENGS STATICS

STATE UNIVERSITY OF NEW YORK COLLEGE OF TECHNOLOGY CANTON, NEW YORK COURSE OUTLINE ENGS STATICS STATE UNIVERSITY OF NEW YORK COLLEGE OF TECHNOLOGY CANTON, NEW YORK COURSE OUTLINE PREPARED BY: ARTHUR HURLBUT, Ph.D. P.E.(October 2006) UPDATED BY: MICHAEL J. NEWTOWN, P.E. (October 2006) REVISED BY:

More information

MAAE 2202 A. Come to the PASS workshop with your mock exam complete. During the workshop you can work with other students to review your work.

MAAE 2202 A. Come to the PASS workshop with your mock exam complete. During the workshop you can work with other students to review your work. It is most beneficial to you to write this mock final exam UNDER EXAM CONDITIONS. This means: Complete the exam in 3 hours. Work on your own. Keep your textbook closed. Attempt every question. After the

More information

ENGINEERING MECHANICS

ENGINEERING MECHANICS ENGINEERING MECHANICS Engineering Mechanics Volume 2: Stresses, Strains, Displacements by C. HARTSUIJKER Delft University of Technology, Delft, The Netherlands and J.W. WELLEMAN Delft University of Technology,

More information

Engineering Physics. In the Science Program, Engineering Physics contributes to the following program goals described in the Exit Profile:

Engineering Physics. In the Science Program, Engineering Physics contributes to the following program goals described in the Exit Profile: Engineering Physics Objectives: 00UV Discipline: Physics Ponderation: 3-2-3 Course Code: 203-BZE-05 Prerequisite: 00UR (Mechanics ) Course Credit: 2 2/3 Corequisite: 00UP (Calculus II) Semester: 4 Introduction

More information

Using MATLAB and. Abaqus. Finite Element Analysis. Introduction to. Amar Khennane. Taylor & Francis Croup. Taylor & Francis Croup,

Using MATLAB and. Abaqus. Finite Element Analysis. Introduction to. Amar Khennane. Taylor & Francis Croup. Taylor & Francis Croup, Introduction to Finite Element Analysis Using MATLAB and Abaqus Amar Khennane Taylor & Francis Croup Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Croup, an informa business

More information

Plates and Shells: Theory and Computation. Dr. Mostafa Ranjbar

Plates and Shells: Theory and Computation. Dr. Mostafa Ranjbar Plates and Shells: Theory and Computation Dr. Mostafa Ranjbar Outline -1-! This part of the module consists of seven lectures and will focus on finite elements for beams, plates and shells. More specifically,

More information

Lecture 15 Strain and stress in beams

Lecture 15 Strain and stress in beams Spring, 2019 ME 323 Mechanics of Materials Lecture 15 Strain and stress in beams Reading assignment: 6.1 6.2 News: Instructor: Prof. Marcial Gonzalez Last modified: 1/6/19 9:42:38 PM Beam theory (@ ME

More information

Bergen Community College Division of Math, Science and Technology Department of Physical Sciences. Course Syllabus PHY 294 Engineering Mechanics

Bergen Community College Division of Math, Science and Technology Department of Physical Sciences. Course Syllabus PHY 294 Engineering Mechanics Bergen Community College Division of Math, Science and Technology Department of Physical Sciences Course Syllabus PHY 294 Engineering Mechanics Semester and year: Course Number: Meeting Times and Locations:

More information

D : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each.

D : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each. GTE 2016 Q. 1 Q. 9 carry one mark each. D : SOLID MECHNICS Q.1 single degree of freedom vibrating system has mass of 5 kg, stiffness of 500 N/m and damping coefficient of 100 N-s/m. To make the system

More information

Chapter 3. Load and Stress Analysis

Chapter 3. Load and Stress Analysis Chapter 3 Load and Stress Analysis 2 Shear Force and Bending Moments in Beams Internal shear force V & bending moment M must ensure equilibrium Fig. 3 2 Sign Conventions for Bending and Shear Fig. 3 3

More information

Esben Byskov. Elementary Continuum. Mechanics for Everyone. With Applications to Structural Mechanics. Springer

Esben Byskov. Elementary Continuum. Mechanics for Everyone. With Applications to Structural Mechanics. Springer Esben Byskov Elementary Continuum Mechanics for Everyone With Applications to Structural Mechanics Springer Contents Preface v Contents ix Introduction What Is Continuum Mechanics? "I Need Continuum Mechanics

More information

COURSE TITLE : APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4017 COURSE CATEGORY : A PERIODS/WEEK : 6 PERIODS/ SEMESTER : 108 CREDITS : 5

COURSE TITLE : APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4017 COURSE CATEGORY : A PERIODS/WEEK : 6 PERIODS/ SEMESTER : 108 CREDITS : 5 COURSE TITLE : APPLIED MECHANICS & STRENGTH OF MATERIALS COURSE CODE : 4017 COURSE CATEGORY : A PERIODS/WEEK : 6 PERIODS/ SEMESTER : 108 CREDITS : 5 TIME SCHEDULE MODULE TOPICS PERIODS 1 Simple stresses

More information

Mechanics of Materials Primer

Mechanics of Materials Primer Mechanics of Materials rimer Notation: A = area (net = with holes, bearing = in contact, etc...) b = total width of material at a horizontal section d = diameter of a hole D = symbol for diameter E = modulus

More information

FINAL EXAMINATION. (CE130-2 Mechanics of Materials)

FINAL EXAMINATION. (CE130-2 Mechanics of Materials) UNIVERSITY OF CLIFORNI, ERKELEY FLL SEMESTER 001 FINL EXMINTION (CE130- Mechanics of Materials) Problem 1: (15 points) pinned -bar structure is shown in Figure 1. There is an external force, W = 5000N,

More information

Lecture 4 Honeycombs Notes, 3.054

Lecture 4 Honeycombs Notes, 3.054 Honeycombs-In-plane behavior Lecture 4 Honeycombs Notes, 3.054 Prismatic cells Polymer, metal, ceramic honeycombs widely available Used for sandwich structure cores, energy absorption, carriers for catalysts

More information

Stress Analysis Lecture 3 ME 276 Spring Dr./ Ahmed Mohamed Nagib Elmekawy

Stress Analysis Lecture 3 ME 276 Spring Dr./ Ahmed Mohamed Nagib Elmekawy Stress Analysis Lecture 3 ME 276 Spring 2017-2018 Dr./ Ahmed Mohamed Nagib Elmekawy Axial Stress 2 Beam under the action of two tensile forces 3 Beam under the action of two tensile forces 4 Shear Stress

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS Third CHTR Stress MCHNICS OF MTRIS Ferdinand. Beer. Russell Johnston, Jr. John T. DeWolf ecture Notes: J. Walt Oler Texas Tech University and Strain xial oading Contents Stress & Strain: xial oading Normal

More information

COURSE TITLE : THEORY OF STRUCTURES -I COURSE CODE : 3013 COURSE CATEGORY : B PERIODS/WEEK : 6 PERIODS/SEMESTER: 90 CREDITS : 6

COURSE TITLE : THEORY OF STRUCTURES -I COURSE CODE : 3013 COURSE CATEGORY : B PERIODS/WEEK : 6 PERIODS/SEMESTER: 90 CREDITS : 6 COURSE TITLE : THEORY OF STRUCTURES -I COURSE CODE : 0 COURSE CATEGORY : B PERIODS/WEEK : 6 PERIODS/SEMESTER: 90 CREDITS : 6 TIME SCHEDULE Module Topics Period Moment of forces Support reactions Centre

More information

L13 Structural Engineering Laboratory

L13 Structural Engineering Laboratory LABORATORY PLANNING GUIDE L13 Structural Engineering Laboratory Content Covered subjects according to the curriculum of Structural Engineering... 2 Main concept... 4 Initial training provided for laboratory

More information

[7] Torsion. [7.1] Torsion. [7.2] Statically Indeterminate Torsion. [7] Torsion Page 1 of 21

[7] Torsion. [7.1] Torsion. [7.2] Statically Indeterminate Torsion. [7] Torsion Page 1 of 21 [7] Torsion Page 1 of 21 [7] Torsion [7.1] Torsion [7.2] Statically Indeterminate Torsion [7] Torsion Page 2 of 21 [7.1] Torsion SHEAR STRAIN DUE TO TORSION 1) A shaft with a circular cross section is

More information

공업역학/ 일반물리1 수강대상기계공학과 2학년

공업역학/ 일반물리1 수강대상기계공학과 2학년 교과목명 ( 국문) 고체역학 ( 영문) Solid Mechanics 담당교수( 소속) 박주혁( 기계공학과) 학수번호/ 구분/ 학점 004510/ 전필/3(3) 1반 전화( 연구실/HP) 3408-3771/010-6214-3771 강의시간/ 강의실화목9:00-10:15/ 충무관106 선수과목 공업역학/ 일반물리1 수강대상기계공학과 2학년 jhpark@sejong.ac.kr

More information

University of Macau Department of Electromechanical Engineering MECH102 - Applied Mechanics Syllabus 1 st Semester 2011/2012 Part A Course Outline

University of Macau Department of Electromechanical Engineering MECH102 - Applied Mechanics Syllabus 1 st Semester 2011/2012 Part A Course Outline University of Macau Department of Electromechanical Engineering MECH102 - Applied Mechanics Syllabus 1 st Semester 2011/2012 Part A Course Outline Compulsory course in Electromechanical Engineering Course

More information

Mechanical Properties of Materials

Mechanical Properties of Materials Mechanical Properties of Materials Strains Material Model Stresses Learning objectives Understand the qualitative and quantitative description of mechanical properties of materials. Learn the logic of

More information

PDDC 1 st Semester Civil Engineering Department Assignments of Mechanics of Solids [ ] Introduction, Fundamentals of Statics

PDDC 1 st Semester Civil Engineering Department Assignments of Mechanics of Solids [ ] Introduction, Fundamentals of Statics Page1 PDDC 1 st Semester Civil Engineering Department Assignments of Mechanics of Solids [2910601] Introduction, Fundamentals of Statics 1. Differentiate between Scalar and Vector quantity. Write S.I.

More information

Lecture 8. Stress Strain in Multi-dimension

Lecture 8. Stress Strain in Multi-dimension Lecture 8. Stress Strain in Multi-dimension Module. General Field Equations General Field Equations [] Equilibrium Equations in Elastic bodies xx x y z yx zx f x 0, etc [2] Kinematics xx u x x,etc. [3]

More information

DETAILED SYLLABUS FOR DISTANCE EDUCATION. Diploma. (Three Years Semester Scheme) Diploma in Architecture (DARC)

DETAILED SYLLABUS FOR DISTANCE EDUCATION. Diploma. (Three Years Semester Scheme) Diploma in Architecture (DARC) DETAILED SYLLABUS FOR DISTANCE EDUCATION Diploma (Three Years Semester Scheme) Diploma in Architecture (DARC) COURSE TITLE DURATION : Diploma in ARCHITECTURE (DARC) : 03 Years (Semester System) FOURTH

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS Third CHTR Stress MCHNICS OF MTRIS Ferdinand. Beer. Russell Johnston, Jr. John T. DeWolf ecture Notes: J. Walt Oler Texas Tech University and Strain xial oading Contents Stress & Strain: xial oading Normal

More information

ELAS - Elasticity

ELAS - Elasticity Coordinating unit: Teaching unit: Academic year: Degree: ECTS credits: 2017 295 - EEBE - Barcelona East School of Engineering 737 - RMEE - Department of Strength of Materials and Structural Engineering

More information

Mechanics of Solids and Structures, Second Edition

Mechanics of Solids and Structures, Second Edition Mechanics of Solids and Structures, Second Edition A revision of a popular textbook, this volume emphasizes the development of analysis techniques from basic principles for a broad range of practical problems,

More information

Lecture 4: PRELIMINARY CONCEPTS OF STRUCTURAL ANALYSIS. Introduction

Lecture 4: PRELIMINARY CONCEPTS OF STRUCTURAL ANALYSIS. Introduction Introduction In this class we will focus on the structural analysis of framed structures. We will learn about the flexibility method first, and then learn how to use the primary analytical tools associated

More information

COLLEGE OF THE DESERT

COLLEGE OF THE DESERT COLLEGE OF THE DESERT Course Code ENGR-011 Course Outline of Record 1. Course Code: ENGR-011 2. a. Long Course Title: Statics b. Short Course Title: STATICS 3. a. Catalog Course Description: This course

More information

Downloaded from Downloaded from / 1

Downloaded from   Downloaded from   / 1 PURWANCHAL UNIVERSITY III SEMESTER FINAL EXAMINATION-2002 LEVEL : B. E. (Civil) SUBJECT: BEG256CI, Strength of Material Full Marks: 80 TIME: 03:00 hrs Pass marks: 32 Candidates are required to give their

More information

Conceptual question Conceptual question 12.2

Conceptual question Conceptual question 12.2 Conceptual question 12.1 rigid cap of weight W t g r A thin-walled tank (having an inner radius of r and wall thickness t) constructed of a ductile material contains a gas with a pressure of p. A rigid

More information

HOUSTON COMMUNITY COLLEGE COURSE OUTLINE FOR Engineering Statics (ENGR 2301) Fall 2012 Class Number: 24432

HOUSTON COMMUNITY COLLEGE COURSE OUTLINE FOR Engineering Statics (ENGR 2301) Fall 2012 Class Number: 24432 HOUSTON COMMUNITY COLLEGE COURSE OUTLINE FOR Engineering Statics (ENGR 2301) Fall 2012 Class Number: 24432 Time and Location 9:00 AM 01:00 PM, Fridays, HCC Northwest College, Alief Branch, Room Number

More information

UNIVERSITY OF SASKATCHEWAN ME MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 13, 2008 Professor A. Dolovich

UNIVERSITY OF SASKATCHEWAN ME MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 13, 2008 Professor A. Dolovich UNIVERSITY OF SASKATCHEWAN ME 313.3 MECHANICS OF MATERIALS I FINAL EXAM DECEMBER 13, 2008 Professor A. Dolovich A CLOSED BOOK EXAMINATION TIME: 3 HOURS For Marker s Use Only LAST NAME (printed): FIRST

More information

If the number of unknown reaction components are equal to the number of equations, the structure is known as statically determinate.

If the number of unknown reaction components are equal to the number of equations, the structure is known as statically determinate. 1 of 6 EQUILIBRIUM OF A RIGID BODY AND ANALYSIS OF ETRUCTURAS II 9.1 reactions in supports and joints of a two-dimensional structure and statically indeterminate reactions: Statically indeterminate structures

More information

AAE 553 Elasticity in Aerospace Engineering

AAE 553 Elasticity in Aerospace Engineering AAE 553 Elasticity in Aerospace Engineering Professor Tyler N. Tallman email: ttallman@purdue.edu office location: ARMS 3214 office phone: (765) 494-2490 Course Description AAE 553 is a fundamental course

More information

ME 243. Mechanics of Solids

ME 243. Mechanics of Solids ME 243 Mechanics of Solids Lecture 2: Stress and Strain Ahmad Shahedi Shakil Lecturer, Dept. of Mechanical Engg, BUET E-mail: sshakil@me.buet.ac.bd, shakil6791@gmail.com Website: teacher.buet.ac.bd/sshakil

More information

Introduction MEAM 535. What is MEAM 535? Audience. Advanced topics in dynamics

Introduction MEAM 535. What is MEAM 535? Audience. Advanced topics in dynamics What is MEAM 535? Advanced topics in dynamics Audience Review of Newtonian mechanics MEAM 535 Introduction Analytical mechanics: Lagrangian and Hamiltonian Special topics: Stability of dynamical systems,

More information

D : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown.

D : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown. D : SOLID MECHANICS Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown. Q.2 Consider the forces of magnitude F acting on the sides of the regular hexagon having

More information

Civil Engineering. Structural Analysis. Comprehensive Theory with Solved Examples and Practice Questions. Publications

Civil Engineering. Structural Analysis. Comprehensive Theory with Solved Examples and Practice Questions. Publications Civil Engineering Structural Analysis Comprehensive Theory with Solved Examples and Practice Questions Publications Publications MADE EASY Publications Corporate Office: 44-A/4, Kalu Sarai (Near Hauz Khas

More information

Tuesday, February 11, Chapter 3. Load and Stress Analysis. Dr. Mohammad Suliman Abuhaiba, PE

Tuesday, February 11, Chapter 3. Load and Stress Analysis. Dr. Mohammad Suliman Abuhaiba, PE 1 Chapter 3 Load and Stress Analysis 2 Chapter Outline Equilibrium & Free-Body Diagrams Shear Force and Bending Moments in Beams Singularity Functions Stress Cartesian Stress Components Mohr s Circle for

More information

CE261 ENGINEERING MECHANICS - DYNAMICS

CE261 ENGINEERING MECHANICS - DYNAMICS CE1 ENGINEERING MECHANICS - DYNAMICS Instructor JORGE A. RAMÍREZ, PH.D. ASSOCIATE PROFESSOR Water Resources, Hydrologic and Environmental Sciences Division Civil Engineering Department A Engineering Bldg.

More information

Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Tuesday / Friday Sections. Spring '13.

Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Tuesday / Friday Sections. Spring '13. Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Tuesday / Friday Sections Spring 2013 Back exams, HW solutions, and other useful links can be found at the following website:

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS CHATR Stress MCHANICS OF MATRIALS and Strain Axial Loading Stress & Strain: Axial Loading Suitability of a structure or machine may depend on the deformations in the structure as well as the stresses induced

More information

Homework No. 1 MAE/CE 459/559 John A. Gilbert, Ph.D. Fall 2004

Homework No. 1 MAE/CE 459/559 John A. Gilbert, Ph.D. Fall 2004 Homework No. 1 MAE/CE 459/559 John A. Gilbert, Ph.D. 1. A beam is loaded as shown. The dimensions of the cross section appear in the insert. the figure. Draw a complete free body diagram showing an equivalent

More information

Introduction to Continuous Systems. Continuous Systems. Strings, Torsional Rods and Beams.

Introduction to Continuous Systems. Continuous Systems. Strings, Torsional Rods and Beams. Outline of Continuous Systems. Introduction to Continuous Systems. Continuous Systems. Strings, Torsional Rods and Beams. Vibrations of Flexible Strings. Torsional Vibration of Rods. Bernoulli-Euler Beams.

More information

March 24, Chapter 4. Deflection and Stiffness. Dr. Mohammad Suliman Abuhaiba, PE

March 24, Chapter 4. Deflection and Stiffness. Dr. Mohammad Suliman Abuhaiba, PE Chapter 4 Deflection and Stiffness 1 2 Chapter Outline Spring Rates Tension, Compression, and Torsion Deflection Due to Bending Beam Deflection Methods Beam Deflections by Superposition Strain Energy Castigliano

More information

FLEXIBILITY METHOD FOR INDETERMINATE FRAMES

FLEXIBILITY METHOD FOR INDETERMINATE FRAMES UNIT - I FLEXIBILITY METHOD FOR INDETERMINATE FRAMES 1. What is meant by indeterminate structures? Structures that do not satisfy the conditions of equilibrium are called indeterminate structure. These

More information

Analytical Strip Method for Thin Isotropic Cylindrical Shells

Analytical Strip Method for Thin Isotropic Cylindrical Shells IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 2278-1684,p-ISSN: 2320-334X, Volume 14, Issue 4 Ver. III (Jul. Aug. 2017), PP 24-38 www.iosrjournals.org Analytical Strip Method for

More information

ME101: Engineering Mechanics ( )

ME101: Engineering Mechanics ( ) ME101: Engineering Mechanics (3 1 0 8) 2016-2017 (II Semester); Division IV Budhaditya Hazra Room N-307 Department of Civil Engineering budhaditya.hazra@iitg.ernet.in Phone: 258 3334/5334 Web: www.iitg.ernet.in/budhaditya.hazra

More information

Sample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator.

Sample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator. Sample Questions for the ME328 Machine Design Final Examination Closed notes, closed book, no calculator. The following is from the first page of the examination. I recommend you read it before the exam.

More information

Chapter 2: Deflections of Structures

Chapter 2: Deflections of Structures Chapter 2: Deflections of Structures Fig. 4.1. (Fig. 2.1.) ASTU, Dept. of C Eng., Prepared by: Melkamu E. Page 1 (2.1) (4.1) (2.2) Fig.4.2 Fig.2.2 ASTU, Dept. of C Eng., Prepared by: Melkamu E. Page 2

More information

Course Syllabus: Continuum Mechanics - ME 212A

Course Syllabus: Continuum Mechanics - ME 212A Course Syllabus: Continuum Mechanics - ME 212A Division Course Number Course Title Academic Semester Physical Science and Engineering Division ME 212A Continuum Mechanics Fall Academic Year 2017/2018 Semester

More information

Computational Analysis for Composites

Computational Analysis for Composites Computational Analysis for Composites Professor Johann Sienz and Dr. Tony Murmu Swansea University July, 011 The topics covered include: OUTLINE Overview of composites and their applications Micromechanics

More information

Review Lecture. AE1108-II: Aerospace Mechanics of Materials. Dr. Calvin Rans Dr. Sofia Teixeira De Freitas

Review Lecture. AE1108-II: Aerospace Mechanics of Materials. Dr. Calvin Rans Dr. Sofia Teixeira De Freitas Review Lecture AE1108-II: Aerospace Mechanics of Materials Dr. Calvin Rans Dr. Sofia Teixeira De Freitas Aerospace Structures & Materials Faculty of Aerospace Engineering Analysis of an Engineering System

More information

Structural Dynamics Lecture Eleven: Dynamic Response of MDOF Systems: (Chapter 11) By: H. Ahmadian

Structural Dynamics Lecture Eleven: Dynamic Response of MDOF Systems: (Chapter 11) By: H. Ahmadian Structural Dynamics Lecture Eleven: Dynamic Response of MDOF Systems: (Chapter 11) By: H. Ahmadian ahmadian@iust.ac.ir Dynamic Response of MDOF Systems: Mode-Superposition Method Mode-Superposition Method:

More information

A Study on the Tube of Integral Propeller Shaft for the Rear-wheel Drive Automobile Using Carbon Composite Fiber

A Study on the Tube of Integral Propeller Shaft for the Rear-wheel Drive Automobile Using Carbon Composite Fiber A Study on the Tube of Integral Propeller Shaft for the Rear-wheel Drive Automobile Using Carbon Composite Fiber Kibong Han Mechatronics Department, Jungwon University, 85 Munmu-ro, Goesan-gun, South Korea.

More information

Lecture Slides. Chapter 4. Deflection and Stiffness. The McGraw-Hill Companies 2012

Lecture Slides. Chapter 4. Deflection and Stiffness. The McGraw-Hill Companies 2012 Lecture Slides Chapter 4 Deflection and Stiffness The McGraw-Hill Companies 2012 Chapter Outline Force vs Deflection Elasticity property of a material that enables it to regain its original configuration

More information

SAULTCOLLEGE of AppliedArtsand Technology SaultSte. Marie COURSEOUTLINE

SAULTCOLLEGE of AppliedArtsand Technology SaultSte. Marie COURSEOUTLINE SAULTCOLLEGE of AppliedArtsand Technology SaultSte. Marie COURSEOUTLINE STRENGTH OF ~1ATERIALS MCH 103-3 revised June 1981 by W.J. Adolph ------- STRENGHT OF MATERIALS MCH 103-3 To'Cic Periods Tooic Description

More information

Finite Element Method

Finite Element Method Finite Element Method Finite Element Method (ENGC 6321) Syllabus Objectives Understand the basic theory of the FEM Know the behaviour and usage of each type of elements covered in this course one dimensional

More information

Table of Contents. Preface...xvii. Part 1. Level

Table of Contents. Preface...xvii. Part 1. Level Preface...xvii Part 1. Level 1... 1 Chapter 1. The Basics of Linear Elastic Behavior... 3 1.1. Cohesion forces... 4 1.2. The notion of stress... 6 1.2.1. Definition... 6 1.2.2. Graphical representation...

More information