Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/2. A = x-area

Size: px
Start display at page:

Download "Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/2. A = x-area"

Transcription

1 Materials Selection and Design: Introduction Outline Introduction Design Requirements Exampls: - Example 1: Strong and light Tie-Rod - Example 2: Stiff & ight Tension Members - - Example 4: ight and Strong Beam - Example 5: ight and Stiff Beam Materials Attributes: physical, mechanical, thermal, electrical, economic, environmental. Function Process Shape For selection, one must establish a link between materials and function, with shape and process playing also an important role (We will focus on the function part) Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/1 Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/2 Design Requirements Function: support a load, withstand temperature, transmit heat, etc. What does the component do? Objective: make thing cheaply, light weight, increase safety, etc., or combinations of these. What is to be maximized or minimized? Constraints: make thing cheaply, light weight, increase safety, etc., or combinations of these. What essential conditions to be met? Free variables: Which design variables are free? From which we obtain: - Screening Criteria: go / no-go criteria - Ranking Criteria: an ordering of the materials that go Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/3 A = x-area Function: Example 1: Strong and light Tie-Rod Tie-rod Tie-rod is common mechanical component. Tie-rod must carry tensile force, F, w/o failure. is usually fixed by design. While strong, need lightweight, or low mass. Objective: Minimize mass: M = A. (1) Constraints: = fixed length must not fail under load F (A can carry the load) F/A σ f. (2) Free variables: Material choice Section area A fixed Performance index: Eliminate A in (1) and (2): m = F σ f Chose materials with smallest /σ f Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/4

2 Example 1: Strong and light Tie-Rod Maximize P = σ f / P is performance index Example 1: Strong and light Tie-Rod Performance Index where a higher number gives better performance Consider log σ f vs log P = 1000 P = 100 P = 10 For fixed P, look at log σ f = log + C For fixed P, you look for ines of Slope = 1. Each ine of Slope = 1 have the same P values! But NOT the same materials properties (σ f or ) e.g. some less dense (lighter). For fixed P: log P = log σ f log = constant = C Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/5 Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/6 Example 2: Stiff & ight Tension Members Example 2: Stiff & ight Tension Members c c F, δ Bar must not lengthen by more than δ under force F; must have initial length. Stiffness relation: Mass of bar: F (σ = Eε) c 2 = E δ M =c 2 Eliminate the "free" design parameter, c: M = F2 δ specified by application E minimize for small M P = E for stiff tension members log P = log E log = C Maximize the Performance Index: P = E (stiff, light tension members) Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/7 Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/8

3 Example 3: Strong & ight Torsion Members Bar must carry a moment, Mt must have a length. Strength relation: Mass of bar: f M =πr 2 N = 2M t πr 3 N is a safety factor Eliminate the "free" design parameter, R: specified by application M = ( 2 π NM t ) 2/3 2/3 f minimize for small M Maximize the Performance Index: (strong, light torsion members) P = 2/3 f Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/9 Maximize Performance Material Index log = 3/2 [ log + log P ] ys P= Need to consider lines of constant P with slope of 3/2 on log-scale Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/10 2/3 Additional constraint E.g. require P 10 and f 300 MPa. All parallel lines have same performance index. 100 This identifies search region- shaded 300 MPa However, P=30 has 1/3 the mass of P=10 (mass 1/P ) P = 10 All materials that lie on these lines will perform equally for strength-per-mass basis. However, each line has a different Materials M index, or overall Performance P index. Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/11 Strength vs Density Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/12

4 Example 4: ight and Stiff Beam F b b d=deflection Bending is common mode of loading in engineering, e.g., golf clubs, wing spars, floor joists. ight, square beam (A=b 2 ) with length, loaded in bending must meet a constraint on its stiffness, S, so that it does not deflect more than d with load F. Stiffness Constraint S= F d C 1 EI 3 Eliminating Area, A: m 12S C 1 =C 1 E b 4 3 = C 1 E A /2 ( 3 ) Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/13 Mass m = A. Constraint If beam remains square, the ight, Stiff Beam is one with largest P = E1/2 If only beam height can change (not A), then P = (E 1/3 /) (Car door) I b 3 w If only beam width can change (not A), then P = (E/) E 1/2 (note in first bracket) Maximize the Performance Index: P = σ 1/2 Strength, σf (MPa) Example 5: Strong & ight Bending Members 10 4 bending members Ceramics Cermets 10 3 PMCs Steels 10 2 grain Metal alloys Adapted from Fig. 6.22, 10 Polymers Callister 6e. grain 1 wood Density, (Mg/m 3 ) slope = 2 Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/14 Examples of Materials Indices Strong & ight Tension vs. torsion Members Function, Objective, and Constraint Index Tie, minimum weight, stiffness E/ Beam, minimum weight, stiffness E 1/2 / Beam, minimum weight, strength σ 2/3 / Beam, minimum cost, stiffness E 1/2 /C m Beam, minimum cost, strength σ 2/3 /C m Column, minimum cost, buckling load E 1/2 /C m Spring, minimum weight for given energy storage σ YS2 /E Thermal insulation, minimum cost, heat flux 1/(α C m ) Electromagnet, maximum field, temperature rise κ C p C m =cost/mass α =thermal cond κ =elec. cond Strength, σf (MPa) 10 4 Ceramics 10 3 Cermets PMCs Steels 10 2 grain Metal alloys 10 Polymers grain 1 tension 0.1 members Density, (Mg/m 3 ) wood slope = 1 slope = 3/2 torsion members Adapted from Fig. 6.22, Callister 6e. Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/15 Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/16

5 Next time: Continue Materials Selection Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech321 lecture 20/17

2.2 - Screening and ranking for optimal selection. Outline

2.2 - Screening and ranking for optimal selection. Outline 2 - Ashby Method 2.2 - Screening and ranking for optimal selection Outline Basic steps of selection 1. Translation of design requirements into a material specification 2. Screening out of materials that

More information

Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon.

Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon. Modes of Loading (1) tension (a) (2) compression (b) (3) bending (c) (4) torsion (d) and combinations of them (e) Figure 4.2 1 Standard Solution to Elastic Problems Three common modes of loading: (a) tie

More information

Materials Selection and Design Materials Selection - Practice

Materials Selection and Design Materials Selection - Practice Materials Selection and Design Materials Selection - Practice Each material is characterized by a set of attributes that include its mechanical, thermal, electrical, optical, and chemical properties; its

More information

Outline. Tensile-Test Specimen and Machine. Stress-Strain Curve. Review of Mechanical Properties. Mechanical Behaviour

Outline. Tensile-Test Specimen and Machine. Stress-Strain Curve. Review of Mechanical Properties. Mechanical Behaviour Tensile-Test Specimen and Machine Review of Mechanical Properties Outline Tensile test True stress - true strain (flow curve) mechanical properties: - Resilience - Ductility - Toughness - Hardness A standard

More information

Materials and Shape. Part 1: Materials for efficient structure. A. K. M. B. Rashid Professor, Department of MME BUET, Dhaka. Learning Objectives

Materials and Shape. Part 1: Materials for efficient structure. A. K. M. B. Rashid Professor, Department of MME BUET, Dhaka. Learning Objectives MME445: Lecture 27 Materials and Shape Part 1: Materials for efficient structure A. K. M. B. Rashid Professor, Department of MME BUET, Dhaka Learning Objectives Knowledge & Understanding Understand the

More information

Introduction to Engineering Materials ENGR2000. Dr. Coates

Introduction to Engineering Materials ENGR2000. Dr. Coates Introduction to Engineering Materials ENGR2 Chapter 6: Mechanical Properties of Metals Dr. Coates 6.2 Concepts of Stress and Strain tension compression shear torsion Tension Tests The specimen is deformed

More information

Module 2 Selection of Materials and Shapes. IIT, Bombay

Module 2 Selection of Materials and Shapes. IIT, Bombay Module Selection o Materials and Shapes Lecture Selection o Materials - I Instructional objectives By the end o this lecture, the student will learn (a) what is a material index and how does it help in

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

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

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

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

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

Module 2 Selection of Materials and Shapes. IIT, Bombay

Module 2 Selection of Materials and Shapes. IIT, Bombay Module Selection of Materials and Shapes Lecture 3 Selection of Materials - II Instructional objectives This is a continuation of the previous lecture. By the end of this lecture, the student will further

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

Mechanical properties 1 Elastic behaviour of materials

Mechanical properties 1 Elastic behaviour of materials MME131: Lecture 13 Mechanical properties 1 Elastic behaviour of materials A. K. M. B. Rashid Professor, Department of MME BUET, Dhaka Today s Topics Deformation of material under the action of a mechanical

More information

3.032 Problem Set 1 Fall 2007 Due: Start of Lecture,

3.032 Problem Set 1 Fall 2007 Due: Start of Lecture, 3.032 Problem Set 1 Fall 2007 Due: Start of Lecture, 09.14.07 1. The I35 bridge in Minneapolis collapsed in Summer 2007. The failure apparently occurred at a pin in the gusset plate of the truss supporting

More information

COLUMNS: BUCKLING (DIFFERENT ENDS)

COLUMNS: BUCKLING (DIFFERENT ENDS) COLUMNS: BUCKLING (DIFFERENT ENDS) Buckling of Long Straight Columns Example 4 Slide No. 1 A simple pin-connected truss is loaded and supported as shown in Fig. 1. All members of the truss are WT10 43

More information

ME 202 STRENGTH OF MATERIALS SPRING 2014 HOMEWORK 4 SOLUTIONS

ME 202 STRENGTH OF MATERIALS SPRING 2014 HOMEWORK 4 SOLUTIONS ÇANKAYA UNIVERSITY MECHANICAL ENGINEERING DEPARTMENT ME 202 STRENGTH OF MATERIALS SPRING 2014 Due Date: 1 ST Lecture Hour of Week 12 (02 May 2014) Quiz Date: 3 rd Lecture Hour of Week 12 (08 May 2014)

More information

How materials work. Compression Tension Bending Torsion

How materials work. Compression Tension Bending Torsion Materials How materials work Compression Tension Bending Torsion Elemental material atoms: A. Composition a) Nucleus: protons (+), neutrons (0) b) Electrons (-) B. Neutral charge, i.e., # electrons = #

More information

MATERIALS. Why do things break? Why are some materials stronger than others? Why is steel tough? Why is glass brittle?

MATERIALS. Why do things break? Why are some materials stronger than others? Why is steel tough? Why is glass brittle? MATERIALS Why do things break? Why are some materials stronger than others? Why is steel tough? Why is glass brittle? What is toughness? strength? brittleness? Elemental material atoms: A. Composition

More information

Materials Selection Case Study 1 Bases and Mechanical Properties. Professors: Anne Mertens and Davide Ruffoni Assistant: Tommaso Maurizi Enrici

Materials Selection Case Study 1 Bases and Mechanical Properties. Professors: Anne Mertens and Davide Ruffoni Assistant: Tommaso Maurizi Enrici Materials Selection Case Study 1 Bases and Mechanical Properties Professors: Anne Mertens and Davide Ruffoni Assistant: Tommaso Maurizi Enrici Thursday, October 4, 2018 Mechanical Properties Case Studies

More information

Johns Hopkins University What is Engineering? M. Karweit MATERIALS

Johns Hopkins University What is Engineering? M. Karweit MATERIALS Why do things break? Why are some materials stronger than others? Why is steel tough? Why is glass brittle? What is toughness? strength? brittleness? Elemental material atoms: MATERIALS A. Composition

More information

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1 - LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1 - LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS EDEXCEL NATIONAL CERTIICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQ LEVEL 3 OUTCOME 1 - LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS 1. Be able to determine the effects of loading in static engineering

More information

Introduction. Machine Element Design Walid Khraisat

Introduction. Machine Element Design Walid Khraisat Introduction Machine Element Design 0906437 Walid Khraisat What Is Design? Engineering design is a systematic process by which solutions to the needs of humankind are obtained Examples Lightweight,compact

More information

High Tech High Top Hat Technicians. An Introduction to Solid Mechanics. Is that supposed to bend there?

High Tech High Top Hat Technicians. An Introduction to Solid Mechanics. Is that supposed to bend there? High Tech High Top Hat Technicians An Introduction to Solid Mechanics Or Is that supposed to bend there? Why don't we fall through the floor? The power of any Spring is in the same proportion with the

More information

Virtual Work & Energy Methods. External Energy-Work Transformation

Virtual Work & Energy Methods. External Energy-Work Transformation External Energy-Work Transformation Virtual Work Many structural problems are statically determinate (support reactions & internal forces can be found by simple statics) Other methods are required when

More information

= 50 ksi. The maximum beam deflection Δ max is not = R B. = 30 kips. Notes for Strength of Materials, ET 200

= 50 ksi. The maximum beam deflection Δ max is not = R B. = 30 kips. Notes for Strength of Materials, ET 200 Notes for Strength of Materials, ET 00 Steel Six Easy Steps Steel beam design is about selecting the lightest steel beam that will support the load without exceeding the bending strength or shear strength

More information

Mechanical Design in Optical Engineering

Mechanical Design in Optical Engineering OPTI Buckling Buckling and Stability: As we learned in the previous lectures, structures may fail in a variety of ways, depending on the materials, load and support conditions. We had two primary concerns:

More information

Use Hooke s Law (as it applies in the uniaxial direction),

Use Hooke s Law (as it applies in the uniaxial direction), 0.6 STRSS-STRAIN RLATIONSHIP Use the principle of superposition Use Poisson s ratio, v lateral longitudinal Use Hooke s Law (as it applies in the uniaxial direction), x x v y z, y y vx z, z z vx y Copyright

More information

Physics 8 Monday, November 23, 2015

Physics 8 Monday, November 23, 2015 Physics 8 Monday, November 23, 2015 Handing out HW11, due Friday, December 4. One or two more beam-related examples, then we ll move on to oscillations ( periodic motion ). This week s reading is Mazur

More information

STRESS. Bar. ! Stress. ! Average Normal Stress in an Axially Loaded. ! Average Shear Stress. ! Allowable Stress. ! Design of Simple Connections

STRESS. Bar. ! Stress. ! Average Normal Stress in an Axially Loaded. ! Average Shear Stress. ! Allowable Stress. ! Design of Simple Connections STRESS! Stress Evisdom! verage Normal Stress in an xially Loaded ar! verage Shear Stress! llowable Stress! Design of Simple onnections 1 Equilibrium of a Deformable ody ody Force w F R x w(s). D s y Support

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

AERO 214. Lab II. Measurement of elastic moduli using bending of beams and torsion of bars

AERO 214. Lab II. Measurement of elastic moduli using bending of beams and torsion of bars AERO 214 Lab II. Measurement of elastic moduli using bending of beams and torsion of bars BENDING EXPERIMENT Introduction Flexural properties of materials are of interest to engineers in many different

More information

Part 1 is to be completed without notes, beam tables or a calculator. DO NOT turn Part 2 over until you have completed and turned in Part 1.

Part 1 is to be completed without notes, beam tables or a calculator. DO NOT turn Part 2 over until you have completed and turned in Part 1. NAME CM 3505 Fall 06 Test 2 Part 1 is to be completed without notes, beam tables or a calculator. Part 2 is to be completed after turning in Part 1. DO NOT turn Part 2 over until you have completed and

More information

2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at A and supported at B by rod (1). What is the axial force in rod (1)?

2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at A and supported at B by rod (1). What is the axial force in rod (1)? IDE 110 S08 Test 1 Name: 1. Determine the internal axial forces in segments (1), (2) and (3). (a) N 1 = kn (b) N 2 = kn (c) N 3 = kn 2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at

More information

Chapter 7. Highlights:

Chapter 7. Highlights: Chapter 7 Highlights: 1. Understand the basic concepts of engineering stress and strain, yield strength, tensile strength, Young's(elastic) modulus, ductility, toughness, resilience, true stress and true

More information

Physics 8 Wednesday, November 18, 2015

Physics 8 Wednesday, November 18, 2015 Physics 8 Wednesday, November 18, 2015 Remember HW10 due Friday. For this week s homework help, I will show up Wednesday, DRL 2C4, 4pm-6pm (when/where you normally find Camilla), and Camilla will show

More information

Materials Selection in Mechanical Design Michael Ashby

Materials Selection in Mechanical Design Michael Ashby Materials Selection in Mechanical Design Michael Ashby Chapter 1. Introduction Mechanical components have mass, they carry loads, they conduct heat and electricity, they are exposed to wear and to corrosion,

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

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

Bending Load & Calibration Module

Bending Load & Calibration Module Bending Load & Calibration Module Objectives After completing this module, students shall be able to: 1) Conduct laboratory work to validate beam bending stress equations. 2) Develop an understanding of

More information

Mechanics of Materials CIVL 3322 / MECH 3322

Mechanics of Materials CIVL 3322 / MECH 3322 Mechanics of Materials CIVL 3322 / MECH 3322 2 3 4 5 6 7 8 9 10 A Quiz 11 A Quiz 12 A Quiz 13 A Quiz 14 A Quiz 15 A Quiz 16 In Statics, we spent most of our time looking at reactions at supports Two variations

More information

Determine the resultant internal loadings acting on the cross section at C of the beam shown in Fig. 1 4a.

Determine the resultant internal loadings acting on the cross section at C of the beam shown in Fig. 1 4a. E X M P L E 1.1 Determine the resultant internal loadings acting on the cross section at of the beam shown in Fig. 1 a. 70 N/m m 6 m Fig. 1 Support Reactions. This problem can be solved in the most direct

More information

Solid Mechanics Homework Answers

Solid Mechanics Homework Answers Name: Date: Solid Mechanics Homework nswers Please show all of your work, including which equations you are using, and circle your final answer. Be sure to include the units in your answers. 1. The yield

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

Stress Analysis Lecture 4 ME 276 Spring Dr./ Ahmed Mohamed Nagib Elmekawy

Stress Analysis Lecture 4 ME 276 Spring Dr./ Ahmed Mohamed Nagib Elmekawy Stress Analysis Lecture 4 ME 76 Spring 017-018 Dr./ Ahmed Mohamed Nagib Elmekawy Shear and Moment Diagrams Beam Sign Convention The positive directions are as follows: The internal shear force causes a

More information

ME 2570 MECHANICS OF MATERIALS

ME 2570 MECHANICS OF MATERIALS ME 2570 MECHANICS OF MATERIALS Chapter III. Mechanical Properties of Materials 1 Tension and Compression Test The strength of a material depends on its ability to sustain a load without undue deformation

More information

and F NAME: ME rd Sample Final Exam PROBLEM 1 (25 points) Prob. 1 questions are all or nothing. PROBLEM 1A. (5 points)

and F NAME: ME rd Sample Final Exam PROBLEM 1 (25 points) Prob. 1 questions are all or nothing. PROBLEM 1A. (5 points) ME 270 3 rd Sample inal Exam PROBLEM 1 (25 points) Prob. 1 questions are all or nothing. PROBLEM 1A. (5 points) IND: In your own words, please state Newton s Laws: 1 st Law = 2 nd Law = 3 rd Law = PROBLEM

More information

Mechanics of Materials MENG 270 Fall 2003 Exam 3 Time allowed: 90min. Q.1(a) Q.1 (b) Q.2 Q.3 Q.4 Total

Mechanics of Materials MENG 270 Fall 2003 Exam 3 Time allowed: 90min. Q.1(a) Q.1 (b) Q.2 Q.3 Q.4 Total Mechanics of Materials MENG 70 Fall 00 Eam Time allowed: 90min Name. Computer No. Q.(a) Q. (b) Q. Q. Q.4 Total Problem No. (a) [5Points] An air vessel is 500 mm average diameter and 0 mm thickness, the

More information

Due Date 1 (for confirmation of final grade): Monday May 10 at 11:59pm Due Date 2 (absolute latest possible submission): Friday May 14 at 5pm

Due Date 1 (for  confirmation of final grade): Monday May 10 at 11:59pm Due Date 2 (absolute latest possible submission): Friday May 14 at 5pm ! ME345 Modeling and Simulation, Spring 2010 Case Study 3 Assigned: Friday April 16! Due Date 1 (for email confirmation of final grade): Monday May 10 at 11:59pm Due Date 2 (absolute latest possible submission):

More information

Assumptions: beam is initially straight, is elastically deformed by the loads, such that the slope and deflection of the elastic curve are

Assumptions: beam is initially straight, is elastically deformed by the loads, such that the slope and deflection of the elastic curve are *12.4 SLOPE & DISPLACEMENT BY THE MOMENT-AREA METHOD Assumptions: beam is initially straight, is elastically deformed by the loads, such that the slope and deflection of the elastic curve are very small,

More information

Question 1. Ignore bottom surface. Solution: Design variables: X = (R, H) Objective function: maximize volume, πr 2 H OR Minimize, f(x) = πr 2 H

Question 1. Ignore bottom surface. Solution: Design variables: X = (R, H) Objective function: maximize volume, πr 2 H OR Minimize, f(x) = πr 2 H Question 1 (Problem 2.3 of rora s Introduction to Optimum Design): Design a beer mug, shown in fig, to hold as much beer as possible. The height and radius of the mug should be not more than 20 cm. The

More information

STRENGTH OF MATERIALS-I. Unit-1. Simple stresses and strains

STRENGTH OF MATERIALS-I. Unit-1. Simple stresses and strains STRENGTH OF MATERIALS-I Unit-1 Simple stresses and strains 1. What is the Principle of surveying 2. Define Magnetic, True & Arbitrary Meridians. 3. Mention different types of chains 4. Differentiate between

More information

SERVICEABILITY OF BEAMS AND ONE-WAY SLABS

SERVICEABILITY OF BEAMS AND ONE-WAY SLABS CHAPTER REINFORCED CONCRETE Reinforced Concrete Design A Fundamental Approach - Fifth Edition Fifth Edition SERVICEABILITY OF BEAMS AND ONE-WAY SLABS A. J. Clark School of Engineering Department of Civil

More information

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA SCIENCE FOR TECHNICIANS OUTCOME 1 - STATIC AND DYNAMIC FORCES TUTORIAL 3 STRESS AND STRAIN

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA SCIENCE FOR TECHNICIANS OUTCOME 1 - STATIC AND DYNAMIC FORCES TUTORIAL 3 STRESS AND STRAIN EDEXCEL NATIONAL CERTIFICATE/DIPLOMA SCIENCE FOR TECHNICIANS OUTCOME 1 - STATIC AND DYNAMIC FORCES TUTORIAL 3 STRESS AND STRAIN 1 Static and dynamic forces Forces: definitions of: matter, mass, weight,

More information

Lecture 2: Introduction to Uncertainty

Lecture 2: Introduction to Uncertainty Lecture 2: Introduction to Uncertainty CHOI Hae-Jin School of Mechanical Engineering 1 Contents Sources of Uncertainty Deterministic vs Random Basic Statistics 2 Uncertainty Uncertainty is the information/knowledge

More information

MATERIALES INDUSTRIALES II ( ) EJERCICIOS APLICACION CES EDUPACK SEGUNDA PARTE-2DO CUAT. 2012

MATERIALES INDUSTRIALES II ( ) EJERCICIOS APLICACION CES EDUPACK SEGUNDA PARTE-2DO CUAT. 2012 MATERIALES INDUSTRIALES II ( 72.13 ) EJERCICIOS APLICACION CES EDUPACK SEGUNDA PARTE-2DO CUAT. 2012 GRUPO N 1 Case Study on a Light, Stiff, Strong Tie (Multiple constraints) 1. A tie, of length L loaded

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

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

EE C247B / ME C218 INTRODUCTION TO MEMS DESIGN SPRING 2014 C. Nguyen PROBLEM SET #4

EE C247B / ME C218 INTRODUCTION TO MEMS DESIGN SPRING 2014 C. Nguyen PROBLEM SET #4 Issued: Wednesday, Mar. 5, 2014 PROBLEM SET #4 Due (at 9 a.m.): Tuesday Mar. 18, 2014, in the EE C247B HW box near 125 Cory. 1. Suppose you would like to fabricate the suspended cross beam structure below

More information

Lecture 16-17, Sandwich Panel Notes, 3.054

Lecture 16-17, Sandwich Panel Notes, 3.054 Sandwich Panels Two stiff strong skins separated by a lightweight core Separation of skins by core increases moment of inertia, with little increase in weight Efficient for resisting bending and buckling

More information

Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA Problem Set 14

Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA Problem Set 14 Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA 02139 16.01/16.02 Unified Engineering I, II Fall 2003 Problem Set 14 Name: Due Date: 12/9/03 F18 F19 F20 M19

More information

ENG1001 Engineering Design 1

ENG1001 Engineering Design 1 ENG1001 Engineering Design 1 Structure & Loads Determine forces that act on structures causing it to deform, bend, and stretch Forces push/pull on objects Structures are loaded by: > Dead loads permanent

More information

Name :. Roll No. :... Invigilator s Signature :.. CS/B.TECH (CE-NEW)/SEM-3/CE-301/ SOLID MECHANICS

Name :. Roll No. :... Invigilator s Signature :.. CS/B.TECH (CE-NEW)/SEM-3/CE-301/ SOLID MECHANICS Name :. Roll No. :..... Invigilator s Signature :.. 2011 SOLID MECHANICS Time Allotted : 3 Hours Full Marks : 70 The figures in the margin indicate full marks. Candidates are required to give their answers

More information

five Mechanics of Materials 1 ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 lecture

five Mechanics of Materials 1 ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 lecture ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 lecture five mechanics www.carttalk.com of materials Mechanics of Materials 1 Mechanics of Materials MECHANICS MATERIALS

More information

Laboratory 4 Bending Test of Materials

Laboratory 4 Bending Test of Materials Department of Materials and Metallurgical Engineering Bangladesh University of Engineering Technology, Dhaka MME 222 Materials Testing Sessional.50 Credits Laboratory 4 Bending Test of Materials. Objective

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

SRI CHANDRASEKHARENDRA SARASWATHI VISWA MAHAVIDHYALAYA

SRI CHANDRASEKHARENDRA SARASWATHI VISWA MAHAVIDHYALAYA SRI CHANDRASEKHARENDRA SARASWATHI VISWA MAHAVIDHYALAYA (Declared as Deemed-to-be University under Section 3 of the UGC Act, 1956, Vide notification No.F.9.9/92-U-3 dated 26 th May 1993 of the Govt. of

More information

Matlab Sheet 2. Arrays

Matlab Sheet 2. Arrays Matlab Sheet 2 Arrays 1. a. Create the vector x having 50 logarithmically spaced values starting at 10 and ending at 1000. b. Create the vector x having 20 logarithmically spaced values starting at 10

More information

Tensile stress strain curves for different materials. Shows in figure below

Tensile stress strain curves for different materials. Shows in figure below Tensile stress strain curves for different materials. Shows in figure below Furthermore, the modulus of elasticity of several materials effected by increasing temperature, as is shown in Figure Asst. Lecturer

More information

PERIYAR CENTENARY POLYTECHNIC COLLEGE PERIYAR NAGAR - VALLAM THANJAVUR. DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK

PERIYAR CENTENARY POLYTECHNIC COLLEGE PERIYAR NAGAR - VALLAM THANJAVUR. DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK PERIYAR CENTENARY POLYTECHNIC COLLEGE PERIYAR NAGAR - VALLAM - 613 403 - THANJAVUR. DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK Sub : Strength of Materials Year / Sem: II / III Sub Code : MEB 310

More information

Statics Principles. The laws of motion describe the interaction of forces acting on a body. Newton s First Law of Motion (law of inertia):

Statics Principles. The laws of motion describe the interaction of forces acting on a body. Newton s First Law of Motion (law of inertia): Unit 2 Review Statics Statics Principles The laws of motion describe the interaction of forces acting on a body Newton s First Law of Motion (law of inertia): An object in a state of rest or uniform motion

More information

Physics 8 Monday, November 20, 2017

Physics 8 Monday, November 20, 2017 Physics 8 Monday, November 20, 2017 Pick up HW11 handout, due Dec 1 (Friday next week). This week, you re skimming/reading O/K ch8, which goes into more detail on beams. Since many people will be traveling

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

(Refer Slide Time: 2:43-03:02)

(Refer Slide Time: 2:43-03:02) Strength of Materials Prof. S. K. Bhattacharyya Department of Civil Engineering Indian Institute of Technology, Kharagpur Lecture - 34 Combined Stresses I Welcome to the first lesson of the eighth module

More information

DESIGN OF BEAMS AND SHAFTS

DESIGN OF BEAMS AND SHAFTS DESIGN OF EAMS AND SHAFTS! asis for eam Design! Stress Variations Throughout a Prismatic eam! Design of pristmatic beams! Steel beams! Wooden beams! Design of Shaft! ombined bending! Torsion 1 asis for

More information

MECHANICS OF MATERIALS. Prepared by Engr. John Paul Timola

MECHANICS OF MATERIALS. Prepared by Engr. John Paul Timola MECHANICS OF MATERIALS Prepared by Engr. John Paul Timola Mechanics of materials branch of mechanics that studies the internal effects of stress and strain in a solid body. stress is associated with the

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

Q. 1 Q. 5 carry one mark each.

Q. 1 Q. 5 carry one mark each. General ptitude G Set-8 Q. 1 Q. 5 carry one mark each. Q.1 The chairman requested the aggrieved shareholders to him. () bare with () bore with (C) bear with (D) bare Q.2 Identify the correct spelling out

More information

Module 2 Selection of Materials and Shapes. IIT, Bombay

Module 2 Selection of Materials and Shapes. IIT, Bombay Module Selection of Materials and Shapes Lecture 4 Case Studies - I Instructional objectives This is a continuation of the previous lecture. By the end of this lecture, the student will further learn how

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

Initial Stress Calculations

Initial Stress Calculations Initial Stress Calculations The following are the initial hand stress calculations conducted during the early stages of the design process. Therefore, some of the material properties as well as dimensions

More information

Introduction to Structural Member Properties

Introduction to Structural Member Properties Introduction to Structural Member Properties Structural Member Properties Moment of Inertia (I): a mathematical property of a cross-section (measured in inches 4 or in 4 ) that gives important information

More information

Flexural properties of polymers

Flexural properties of polymers A2 _EN BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS FACULTY OF MECHANICAL ENGINEERING DEPARTMENT OF POLYMER ENGINEERING Flexural properties of polymers BENDING TEST OF CHECK THE VALIDITY OF NOTE ON

More information

INTRODUCTION (Cont..)

INTRODUCTION (Cont..) INTRODUCTION Name : Mohamad Redhwan Abd Aziz Post : Lecturer @ DEAN CENTER OF HND STUDIES Subject : Solid Mechanics Code : BME 2033 Room : CENTER OF HND STUDIES OFFICE H/P No. : 019-2579663 W/SITE : Http://tatiuc.edu.my/redhwan

More information

Sabah Shawkat Cabinet of Structural Engineering Walls carrying vertical loads should be designed as columns. Basically walls are designed in

Sabah Shawkat Cabinet of Structural Engineering Walls carrying vertical loads should be designed as columns. Basically walls are designed in Sabah Shawkat Cabinet of Structural Engineering 17 3.6 Shear walls Walls carrying vertical loads should be designed as columns. Basically walls are designed in the same manner as columns, but there are

More information

Chapter 4 Deflection and Stiffness

Chapter 4 Deflection and Stiffness Chapter 4 Deflection and Stiffness Asst. Prof. Dr. Supakit Rooppakhun Chapter Outline Deflection and Stiffness 4-1 Spring Rates 4-2 Tension, Compression, and Torsion 4-3 Deflection Due to Bending 4-4 Beam

More information

12/8/2009. Prof. A.K.M.B. Rashid Department of MME BUET, Dhaka

12/8/2009. Prof. A.K.M.B. Rashid Department of MME BUET, Dhaka Prof. A.K.M.B. Rashid Department of MME BUET, Dhaka Introduction and classes of properties Case studies showing selection of the right material for the job Deformation of material under the action of a

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

MECHANICAL PROPERTIES OF SOLIDS

MECHANICAL PROPERTIES OF SOLIDS Chapter Nine MECHANICAL PROPERTIES OF SOLIDS MCQ I 9.1 Modulus of rigidity of ideal liquids is (a) infinity. (b) zero. (c) unity. (d) some finite small non-zero constant value. 9. The maximum load a wire

More information

SAMPLE PROJECT IN THE MIDDLE EAST DOCUMENT NO. STR-CALC UNITISED CURTAIN WALL 117 ENGINEER PROJECT. Pages REVISION TITLE

SAMPLE PROJECT IN THE MIDDLE EAST DOCUMENT NO. STR-CALC UNITISED CURTAIN WALL 117 ENGINEER PROJECT. Pages REVISION TITLE PROJECT ENGINEER DOCUMENT NO. STR-CALC-548 0 REVISION TITLE Pages UNITISED CURTAIN WALL 117 UNITISED CURTAIN WALL 2 of 117 Table of Contents 1 Summary 3 2 Basic Data 4 2.1 Standards and References 4 2.2

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

Mechanics of materials is one of the first application-based engineering

Mechanics of materials is one of the first application-based engineering In This Chapter Chapter 1 Predicting Behavior with Mechanics of Materials Defining mechanics of materials Introducing stresses and strains Using mechanics of materials to aid in design Mechanics of materials

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

[5] Stress and Strain

[5] Stress and Strain [5] Stress and Strain Page 1 of 34 [5] Stress and Strain [5.1] Internal Stress of Solids [5.2] Design of Simple Connections (will not be covered in class) [5.3] Deformation and Strain [5.4] Hooke s Law

More information

CHAPTER 2 Failure/Fracture Criterion

CHAPTER 2 Failure/Fracture Criterion (11) CHAPTER 2 Failure/Fracture Criterion (12) Failure (Yield) Criteria for Ductile Materials under Plane Stress Designer engineer: 1- Analysis of loading (for simple geometry using what you learn here

More information

Physics 8 Wednesday, November 29, 2017

Physics 8 Wednesday, November 29, 2017 Physics 8 Wednesday, November 29, 2017 HW11 due this Friday, Dec 1. After another day or two on beams, our last topic of the semester will be oscillations (a.k.a. vibration, periodic motion). Toward that

More information

PLAT DAN CANGKANG (TKS 4219)

PLAT DAN CANGKANG (TKS 4219) PLAT DAN CANGKANG (TKS 4219) SESI I: PLATES Dr.Eng. Achfas Zacoeb Dept. of Civil Engineering Brawijaya University INTRODUCTION Plates are straight, plane, two-dimensional structural components of which

More information

5. What is the moment of inertia about the x - x axis of the rectangular beam shown?

5. What is the moment of inertia about the x - x axis of the rectangular beam shown? 1 of 5 Continuing Education Course #274 What Every Engineer Should Know About Structures Part D - Bending Strength Of Materials NOTE: The following question was revised on 15 August 2018 1. The moment

More information

Finite Element Modelling with Plastic Hinges

Finite Element Modelling with Plastic Hinges 01/02/2016 Marco Donà Finite Element Modelling with Plastic Hinges 1 Plastic hinge approach A plastic hinge represents a concentrated post-yield behaviour in one or more degrees of freedom. Hinges only

More information