WORCESTER POLYTECHNIC INSTITUTE
|
|
- Norah Hawkins
- 5 years ago
- Views:
Transcription
1 WORCESTER POLYTECHNIC INSTITUTE MECHANICAL ENGINEERING DEPARTMENT STRESS ANALYSIS ES-2502, C 2012 Lecture 03: Stress 17 January 2012
2 General information Instructor: Cosme Furlong HL-151 (508) Teaching Assistants: Morteza Khaleghi HL-150 (508) Tatiana Popova
3 Free-body diagrams Operator applies 20-lb to pedal stretching spring by 1.5 in. Schematic representation: Free-body diagram: Actual mechanism
4 Force analysis. Free-body diagrams Number of unknowns? Equilib. Equations? Is this a statically indetermined case? Overall FBD
5 Force analysis. Free-body diagrams
6 Force analysis. Free-body diagrams 3D Number of unknowns? Equilib. Equations? 2D Overall FBD Individual FBD s
7 Arbitrary component under load Internal resultant loading Component is in equilibrium Virtual section
8 M F R F R o M o O Internal resultant loading Equivalent force and moment at the section
9 Internal resultant loading Orthogonal components of the equivalent force and moment
10 Internal resultant loading Equivalent forces and moments at the section Component is in equilibrium
11 Internal resultant loading: example A Determine resultant internal loading acting on the cross section at C of the cantilever shown: Approach: 1) Define free-body diagrams 2) Apply equilibrium equations
12 Internal resultant loading: example A Free-body diagrams (FBDs): Section to the right of C Section to the left of C Use either section to determine internal loadings
13 Internal resultant loading: example B Determine resultant internal loading acting on the cross section at C of the machine shaft shown. Shaft is supported by bearings at A and B, which only exert radial forces on the shaft Approach: 1) Define free-body diagrams 2) Apply equilibrium equations: reactions at bearings 3) Apply equilibrium equations: internal loading
14 Internal resultant loading: example B Overall free-body diagram (FBD) FBD is in2d, why? y x C
15 Internal resultant loading: example B Select and define free-body diagram of section (FBD) C Compute internal loading y x
16 Internal resultant loading: example C Determine the resultant internal torque acting on the cross sections through points C and D. Supports A and B allow free turning of the shaft Approach: 1) Define free-body diagram 2) Apply equilibrium equations
17 Internal resultant loading: example D The force F= 80 lb f acts on the gear tooth. Determine the resultant internal loadings on the root of the tooth, i.e., at the centroid point A of section a-a Approach: 1) Define free-body diagram 2) Apply equilibrium equations
18 Stress. Definition: intensity of internal force: acting on a specific plane passing through a point M F R F R o M o Equivalent force and moment at the section O
19 Stress. Definition: intensity of internal force: acting on a specific plane passing through a point Finite force F acting on a finite area A Definition Normal stress: z lim A0 F z A
20 Stress. Definition: intensity of internal force: acting on a specific plane passing through a point Finite force F acting on a finite area A A Definitions Shear stresses: zx zy lim A0 lim A0 F x A F y A
21 Stress. Definition: intensity of internal force: acting on a specific plane passing through a point Finite force F acting on a finite area A Normal and shear stresses on plane x
22 General state of stresses State of stresses of a finite size cube Further sectioning leads to a stress cube
23 Average normal stress in an axially loaded bar
24 Average normal stress in an axially loaded bar Bar subjected to axial load Internal distribution of forces
25 Average normal stress in an axially loaded bar Internal distribution of forces F Rz F z df da P A A Average normal stress: P A
26 Average normal stress in an axially loaded bar Tensile average normal stress Compressive average normal stress
27 Reading assignment Chapter 1 of textbook Review notes and text: ES2001, ES2501
28 Homework assignment As indicated on webpage of our course
WORCESTER POLYTECHNIC INSTITUTE
WORCESTER POLYTECHNIC INSTITUTE MECHANICAL ENGINEERING DEPARTMENT STRESS ANALYSIS ES-2502, C 2012 Lecture 02: Internal Forces 13 January 2012 General information Instructor: Cosme Furlong HL-151 (508)
More informationWORCESTER POLYTECHNIC INSTITUTE
WORCESTER POLYTECHNIC INSTITUTE MECHANICAL ENGINEERING DEPARTMENT STRESS ANALYSIS ES-2502, C 2012 Lecture 17: 10 February 2012 General information Instructor: Cosme Furlong HL-151 (508) 831-5126 cfurlong@wpi.edu
More informationWORCESTER POLYTECHNIC INSTITUTE
WORCESTER POLYTECHNIC INSTITUTE MECHANICAL ENGINEERING DEPARTMENT STRESS ANALYSIS ES-2502, C 2012 Lecture 07: Stress and Strain 24 January 2012 General information Instructor: Cosme Furlong HL-151 (508)
More informationWORCESTER POLYTECHNIC INSTITUTE
WORCESTER POLYTECHNIC INSTITUTE MECHANICAL ENGINEERING DEPARTMENT DESIGN OF MACHINE ELEMENTS ME-3320, B 2018 Lecture 04 October 2018 Office hours: Announcements (also in the website of our course) Prof.
More informationStress 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 informationMECE 3321 MECHANICS OF SOLIDS CHAPTER 1
MECE 3321 MECHANICS O SOLIDS CHAPTER 1 Samantha Ramirez, MSE WHAT IS MECHANICS O MATERIALS? Rigid Bodies Statics Dynamics Mechanics Deformable Bodies Solids/Mech. Of Materials luids 1 WHAT IS MECHANICS
More information[8] Bending and Shear Loading of Beams
[8] Bending and Shear Loading of Beams Page 1 of 28 [8] Bending and Shear Loading of Beams [8.1] Bending of Beams (will not be covered in class) [8.2] Bending Strain and Stress [8.3] Shear in Straight
More informationBeams. Beams are structural members that offer resistance to bending due to applied load
Beams Beams are structural members that offer resistance to bending due to applied load 1 Beams Long prismatic members Non-prismatic sections also possible Each cross-section dimension Length of member
More informationMECE 3321: Mechanics of Solids Chapter 6
MECE 3321: Mechanics of Solids Chapter 6 Samantha Ramirez Beams Beams are long straight members that carry loads perpendicular to their longitudinal axis Beams are classified by the way they are supported
More informationfive moments ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SPRING 2014 lecture ARCH 614
ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SPRING 2014 lecture five moments Moments 1 Moments forces have the tendency to make a body rotate about an axis http://www.physics.umd.edu
More information[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 informationENGR-1100 Introduction to Engineering Analysis. Lecture 13
ENGR-1100 Introduction to Engineering Analysis Lecture 13 EQUILIBRIUM OF A RIGID BODY & FREE-BODY DIAGRAMS Today s Objectives: Students will be able to: a) Identify support reactions, and, b) Draw a free-body
More informationMechanics of Materials
Mechanics of Materials 2. Introduction Dr. Rami Zakaria References: 1. Engineering Mechanics: Statics, R.C. Hibbeler, 12 th ed, Pearson 2. Mechanics of Materials: R.C. Hibbeler, 9 th ed, Pearson 3. Mechanics
More informationMECHANICS 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 informationMECHANICS OF MATERIALS
GE SI CHAPTER 3 MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf David F. Mazurek Torsion Lecture Notes: J. Walt Oler Texas Tech University Torsional Loads on Circular Shafts
More informationMECHANICS 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 informationAluminum shell. Brass core. 40 in
PROBLEM #1 (22 points) A solid brass core is connected to a hollow rod made of aluminum. Both are attached at each end to a rigid plate as shown in Fig. 1. The moduli of aluminum and brass are EA=11,000
More informationSupplement: Statically Indeterminate Frames
: Statically Indeterminate Frames Approximate Analysis - In this supplement, we consider another approximate method of solving statically indeterminate frames subjected to lateral loads known as the. Like
More informationEQUATIONS OF EQUILIBRIUM & TWO- AND THREE-FORCE MEMEBERS
EQUATIONS OF EQUILIBRIUM & TWO- AND THREE-FORCE MEMEBERS Today s Objectives: Students will be able to: a) Apply equations of equilibrium to solve for unknowns, and, b) Recognize two-force members. In-Class
More informationMembers Subjected to Combined Loads
Members Subjected to Combined Loads Combined Bending & Twisting : In some applications the shaft are simultaneously subjected to bending moment M and Torque T.The Bending moment comes on the shaft due
More informationMECHANICS OF MATERIALS
Third E CHAPTER 1 Introduction MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf Lecture Notes: J. Walt Oler Texas Tech University Concept of Stress Contents Concept of Stress
More informationChapter 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 informationFailure from static loading
Failure from static loading Topics Quiz /1/07 Failures from static loading Reading Chapter 5 Homework HW 3 due /1 HW 4 due /8 What is Failure? Failure any change in a machine part which makes it unable
More informationARC 341 Structural Analysis II. Lecture 10: MM1.3 MM1.13
ARC241 Structural Analysis I Lecture 10: MM1.3 MM1.13 MM1.4) Analysis and Design MM1.5) Axial Loading; Normal Stress MM1.6) Shearing Stress MM1.7) Bearing Stress in Connections MM1.9) Method of Problem
More informationEquilibrium of a Rigid Body. Chapter 5
Equilibrium of a Rigid Body Chapter 5 Overview Rigid Body Equilibrium Free Body Diagrams Equations of Equilibrium 2 and 3-Force Members Statical Determinacy CONDITIONS FOR RIGID-BODY EQUILIBRIUM Recall
More informationMAAE 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 informationEQUILIBRIUM OF A RIGID BODY & FREE-BODY DIAGRAMS
Today s Objectives: Students will be able to: EQUILIBRIUM OF A RIGID BODY & FREE-BODY DIAGRAMS a) Identify support reactions, and, b) Draw a free-body diagram. In-Class Activities: Check Homework Reading
More informationJeff 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 informationENGI 1313 Mechanics I
ENGI 1313 Mechanics I Lecture 25: Equilibrium of a Rigid Body Shawn Kenny, Ph.D., P.Eng. Assistant Professor Faculty of Engineering and Applied Science Memorial University of Newfoundland spkenny@engr.mun.ca
More informationEMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 3 Torsion
EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 3 Torsion Introduction Stress and strain in components subjected to torque T Circular Cross-section shape Material Shaft design Non-circular
More informationFinal Examination Study Set 1. (Solutions will be in the Solutions Manual of Textbook)
Final Examination Study Set 1 (Solutions will be in the Solutions Manual of Textbook) Final Examination Study Set 2 (Solutions will be in the Solutions Manual of Textbook) 3/86 The shaft, lever,
More informationLecture 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 informationSolution: The moment of inertia for the cross-section is: ANS: ANS: Problem 15.6 The material of the beam in Problem
Problem 15.4 The beam consists of material with modulus of elasticity E 14x10 6 psi and is subjected to couples M 150, 000 in lb at its ends. (a) What is the resulting radius of curvature of the neutral
More informationENG202 Statics Lecture 16, Section 7.1
ENG202 Statics Lecture 16, Section 7.1 Internal Forces Developed in Structural Members - Design of any structural member requires an investigation of the loading acting within the member in order to be
More informationCE 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 informationSupplement: Statically Indeterminate Trusses and Frames
: Statically Indeterminate Trusses and Frames Approximate Analysis - In this supplement, we consider an approximate method of solving statically indeterminate trusses and frames subjected to lateral loads
More informationExample: 5-panel parallel-chord truss. 8 ft. 5 k 5 k 5 k 5 k. F yield = 36 ksi F tension = 21 ksi F comp. = 10 ksi. 6 ft.
CE 331, Spring 2004 Beam Analogy for Designing Trusses 1 / 9 We need to make several decisions in designing trusses. First, we need to choose a truss. Then we need to determine the height of the truss
More informationSAULT COLLEGE OF APPLIED ARTS & TECHNOLOGY SAULT STE. MARIE, ONTARIO COURSE OUTLINE STRENGTH OF MATERIALS MECHANICAL TECHNOLOGY
(/.- SAULT COLLEGE OF APPLIED ARTS & TECHNOLOGY SAULT STE. MARIE, ONTARIO COURSE OUTLINE Course Title: Code No.: Program: Semester: Date: Author: STRENGTH OF MATERIALS MCH 202 MECHANICAL TECHNOLOGY THREE
More informationSTRESS. 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 informationES230 STRENGTH OF MATERIALS
ES230 STRENGTH OF MATERIALS Exam 1 Study Guide. Exam 1: Wednesday, February 8 th, in-class Updated 2/5/17 Purpose of this Guide: To thoroughly prepare students for the exact types of problems that will
More informationStatics - TAM 211. Lecture 14 October 19, 2018
Statics - TAM 211 Lecture 14 October 19, 2018 Announcements Students are encouraged to practice drawing FBDs, writing out equilibrium equations, and solving these by hand using your calculator. Expending
More informationEngineering Mechanics Statics
Mechanical Systems Engineering _ 2016 Engineering Mechanics Statics 7. Equilibrium of a Rigid Body Dr. Rami Zakaria Conditions for Rigid-Body Equilibrium Forces on a particle Forces on a rigid body The
More informationME C85/CE C30 Midterm 2. Introduction to Solid Mechanics ME C85/CE C30. Midterm Exam 2. Fall, 2013
ME C85/CE C30 Midterm 2 Introduction to Solid Mechanics ME C85/CE C30 Midterm Exam 2 1. Do not open the exam until you are told to begin. 2. Put your name and SID on every page of your answer book. 3.
More informationFME201 Solid & Structural Mechanics I
FME201 Solid & Structural Mechanics I Dr.Hussein Jama Hussein.jama@uobi.ac.ke Office 414 Lecture: Mon 11am -1pm (E207) Tutorial Tue 12-1pm (E207) 10/1/2013 1 Outline This lecture is based on chapter 1
More informationShafts: Torsion of Circular Shafts Reading: Crandall, Dahl and Lardner 6.2, 6.3
M9 Shafts: Torsion of Circular Shafts Reading: Crandall, Dahl and Lardner 6., 6.3 A shaft is a structural member which is long and slender and subject to a torque (moment) acting about its long axis. We
More information4. SHAFTS. A shaft is an element used to transmit power and torque, and it can support
4. SHAFTS A shaft is an element used to transmit power and torque, and it can support reverse bending (fatigue). Most shafts have circular cross sections, either solid or tubular. The difference between
More informationChapter Objectives. Copyright 2011 Pearson Education South Asia Pte Ltd
Chapter Objectives To determine the torsional deformation of a perfectly elastic circular shaft. To determine the support reactions when these reactions cannot be determined solely from the moment equilibrium
More informationStress 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 informationMECH 401 Mechanical Design Applications
MECH 401 Mechanical Design Applications Dr. M. O Malley Master Notes Spring 008 Dr. D. M. McStravick Rice University Updates HW 1 due Thursday (1-17-08) Last time Introduction Units Reliability engineering
More informationEQUILIBRIUM OF A RIGID BODY
EQUILIBRIUM OF A RIGID BODY Today s Objectives: Students will be able to a) Identify support reactions, and, b) Draw a free diagram. APPLICATIONS A 200 kg platform is suspended off an oil rig. How do we
More informationEngineering Mechanics Statics Chapter 6
ENGINEERING MECHANICS STATICS CHAPTER 6 PDF - Are you looking for engineering mechanics statics chapter 6 Books? Now, you will be happy that at this time engineering mechanics statics chapter 6 PDF is
More informationFINAL 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 informationMEMS Project 2 Assignment. Design of a Shaft to Transmit Torque Between Two Pulleys
MEMS 029 Project 2 Assignment Design of a Shaft to Transmit Torque Between Two Pulleys Date: February 5, 206 Instructor: Dr. Stephen Ludwick Product Definition Shafts are incredibly important in order
More informationStress Transformation Equations: u = +135 (Fig. a) s x = 80 MPa s y = 0 t xy = 45 MPa. we obtain, cos u + t xy sin 2u. s x = s x + s y.
014 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently 9 7. Determine the normal stress and shear stress acting
More informationLaith Batarseh. internal forces
Next Previous 1/8/2016 Chapter seven Laith Batarseh Home End Definitions When a member is subjected to external load, an and/or moment are generated inside this member. The value of the generated internal
More informationChapter 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 informationLecture M1 Slender (one dimensional) Structures Reading: Crandall, Dahl and Lardner 3.1, 7.2
Lecture M1 Slender (one dimensional) Structures Reading: Crandall, Dahl and Lardner 3.1, 7.2 This semester we are going to utilize the principles we learnt last semester (i.e the 3 great principles and
More informationTEMPLATE 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 informationStrength of Materials Prof. S.K.Bhattacharya Dept. of Civil Engineering, I.I.T., Kharagpur Lecture No.26 Stresses in Beams-I
Strength of Materials Prof. S.K.Bhattacharya Dept. of Civil Engineering, I.I.T., Kharagpur Lecture No.26 Stresses in Beams-I Welcome to the first lesson of the 6th module which is on Stresses in Beams
More informationMECHANICS OF MATERIALS. Analysis of Beams for Bending
MECHANICS OF MATERIALS Analysis of Beams for Bending By NUR FARHAYU ARIFFIN Faculty of Civil Engineering & Earth Resources Chapter Description Expected Outcomes Define the elastic deformation of an axially
More informationSolution: The strain in the bar is: ANS: E =6.37 GPa Poison s ration for the material is:
Problem 10.4 A prismatic bar with length L 6m and a circular cross section with diameter D 0.0 m is subjected to 0-kN compressive forces at its ends. The length and diameter of the deformed bar are measured
More informationSamantha Ramirez, MSE
Samantha Ramirez, MSE Centroids The centroid of an area refers to the point that defines the geometric center for the area. In cases where the area has an axis of symmetry, the centroid will lie along
More informationF R. + F 3x. + F 2y. = (F 1x. j + F 3x. i + F 2y. i F 3y. i + F 1y. j F 2x. ) i + (F 1y. ) j. F 2x. F 3y. = (F ) i + (F ) j. ) j
General comments: closed book and notes but optional one page crib sheet allowed. STUDY: old exams, homework and power point lectures! Key: make sure you can solve your homework problems and exam problems.
More informationTuesday, 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 informationMECHANICS OF MATERIALS
Fifth SI Edition CHTER 1 MECHNICS OF MTERILS Ferdinand. Beer E. Russell Johnston, Jr. John T. DeWolf David F. Mazurek Introduction Concept of Stress Lecture Notes: J. Walt Oler Teas Tech University Contents
More informationComb resonator design (2)
Lecture 6: Comb resonator design () -Intro Intro. to Mechanics of Materials School of Electrical l Engineering i and Computer Science, Seoul National University Nano/Micro Systems & Controls Laboratory
More informationModule 2 Stresses in machine elements. Version 2 ME, IIT Kharagpur
Module Stresses in machine elements Lesson Compound stresses in machine parts Instructional Objectives t the end of this lesson, the student should be able to understand Elements of force system at a beam
More informationStatics. Phys101 Lectures 19,20. Key points: The Conditions for static equilibrium Solving statics problems Stress and strain. Ref: 9-1,2,3,4,5.
Phys101 Lectures 19,20 Statics Key points: The Conditions for static equilibrium Solving statics problems Stress and strain Ref: 9-1,2,3,4,5. Page 1 The Conditions for Static Equilibrium An object in static
More informationIf the solution does not follow a logical thought process, it will be assumed in error.
Please indicate your group number (If applicable) Circle Your Instructor s Name and Section: MWF 8:30-9:20 AM Prof. Kai Ming Li MWF 2:30-3:20 PM Prof. Fabio Semperlotti MWF 9:30-10:20 AM Prof. Jim Jones
More informationAnnouncements. Equilibrium of a Rigid Body
Announcements Equilibrium of a Rigid Body Today s Objectives Identify support reactions Draw a free body diagram Class Activities Applications Support reactions Free body diagrams Examples Engr221 Chapter
More informationHigh 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 informationEQUATIONS OF EQUILIBRIUM & TWO- AND THREE-FORCE MEMBERS
EQUATIONS OF EQUILIBRIUM & TWO- AND THREE-FORCE MEMBERS Today s Objectives: Students will be able to: a) Apply equations of equilibrium to solve for unknowns b) Identify support reactions c) Recognize
More informationSolution: T, A1, A2, A3, L1, L2, L3, E1, E2, E3, P are known Five equations in five unknowns, F1, F2, F3, ua and va
ME 323 Examination # 1 February 18, 2016 Name (Print) (Last) (First) Instructor PROBLEM #1 (20 points) A structure is constructed from members 1, 2 and 3, with these members made up of the same material
More informationMembers Subjected to Torsional Loads
Members Subjected to Torsional Loads Torsion of circular shafts Definition of Torsion: Consider a shaft rigidly clamped at one end and twisted at the other end by a torque T = F.d applied in a plane perpendicular
More informationMechanical Design in Optical Engineering
Torsion Torsion: Torsion refers to the twisting of a structural member that is loaded by couples (torque) that produce rotation about the member s longitudinal axis. In other words, the member is loaded
More informationDEPARTMENT OF MECHANICAL ENIGINEERING, UNIVERSITY OF ENGINEERING & TECHNOLOGY LAHORE (KSK CAMPUS).
DEPARTMENT OF MECHANICAL ENIGINEERING, UNIVERSITY OF ENGINEERING & TECHNOLOGY LAHORE (KSK CAMPUS). Lab Director: Coordinating Staff: Mr. Muhammad Farooq (Lecturer) Mr. Liaquat Qureshi (Lab Supervisor)
More informationInternal Internal Forces Forces
Internal Forces ENGR 221 March 19, 2003 Lecture Goals Internal Force in Structures Shear Forces Bending Moment Shear and Bending moment Diagrams Internal Forces and Bending The bending moment, M. Moment
More informationDesign a New Set of Strength Labs for the Course, Mechanics of Materials
Paper ID #14395 Design a New Set of Strength Labs for the Course, Mechanics of Materials Dr. Xiaobin Le P.E., Wentworth Institute of Technology Associate professor, Ph.D, PE., Department of Mechanical
More informationENGR-1100 Introduction to Engineering Analysis. Lecture 23
ENGR-1100 Introduction to Engineering Analysis Lecture 23 Today s Objectives: Students will be able to: a) Draw the free body diagram of a frame and its members. FRAMES b) Determine the forces acting at
More informationBeams are bars of material that support. Beams are common structural members. Beams can support both concentrated and distributed loads
Outline: Review External Effects on Beams Beams Internal Effects Sign Convention Shear Force and Bending Moment Diagrams (text method) Relationships between Loading, Shear Force and Bending Moments (faster
More informationEquilibrium. the linear momentum,, of the center of mass is constant
Equilibrium is the state of an object where: Equilibrium the linear momentum,, of the center of mass is constant Feb. 19, 2018 the angular momentum,, about the its center of mass, or any other point, is
More informationME 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 information3.5 STRESS AND STRAIN IN PURE SHEAR. The next element is in a state of pure shear.
3.5 STRESS AND STRAIN IN PURE SHEAR The next element is in a state of pure shear. Fig. 3-20 Stresses acting on a stress element cut from a bar in torsion (pure shear) Stresses on inclined planes Fig. 3-21
More informationReg. No. : Question Paper Code : B.Arch. DEGREE EXAMINATION, APRIL/MAY Second Semester AR 6201 MECHANICS OF STRUCTURES I
WK 4 Reg. No. : Question Paper Code : 71387 B.Arch. DEGREE EXAMINATION, APRIL/MAY 2017. Second Semester AR 6201 MECHANICS OF STRUCTURES I (Regulations 2013) Time : Three hours Maximum : 100 marks Answer
More informationThe problem of transmitting a torque or rotary motion from one plane to another is frequently encountered in machine design.
CHAPER ORSION ORSION orsion refers to the twisting of a structural member when it is loaded by moments/torques that produce rotation about the longitudinal axis of the member he problem of transmitting
More informationFinal Exam - Spring
EM121 Final Exam - Spring 2011-2012 Name : Section Number : Record all your answers to the multiple choice problems (1-15) by filling in the appropriate circle. All multiple choice answers will be graded
More informationEquilibrium Equilibrium and Trusses Trusses
Equilibrium and Trusses ENGR 221 February 17, 2003 Lecture Goals 6-4 Equilibrium in Three Dimensions 7-1 Introduction to Trusses 7-2Plane Trusses 7-3 Space Trusses 7-4 Frames and Machines Equilibrium Problem
More informationCHAPTER 8 SCREWS, FASTENERS, NONPERMANENT JOINTS
CHAPTER 8 SCREWS, FASTENERS, NONPERMANENT JOINTS This chapter deals with the design and analysis of nonpermanent fasteners such as bolts, power screws, cap screws, setscrews, eys and pins. 8- Standards
More informationDetermine 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 informationPhysical 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 informationReview 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 informationEng Sample Test 4
1. An adjustable tow bar connecting the tractor unit H with the landing gear J of a large aircraft is shown in the figure. Adjusting the height of the hook F at the end of the tow bar is accomplished by
More informationBE Semester- I ( ) Question Bank (MECHANICS OF SOLIDS)
BE Semester- I ( ) Question Bank (MECHANICS OF SOLIDS) All questions carry equal marks(10 marks) Q.1 (a) Write the SI units of following quantities and also mention whether it is scalar or vector: (i)
More informationLecture 23. ENGR-1100 Introduction to Engineering Analysis FRAMES S 1
ENGR-1100 Introduction to Engineering Analysis Lecture 23 Today s Objectives: Students will be able to: a) Draw the free body diagram of a frame and its members. FRAMES b) Determine the forces acting at
More informationChapter 12. Static Equilibrium and Elasticity
Chapter 12 Static Equilibrium and Elasticity Static Equilibrium Equilibrium implies that the object moves with both constant velocity and constant angular velocity relative to an observer in an inertial
More information3. BEAMS: STRAIN, STRESS, DEFLECTIONS
3. BEAMS: STRAIN, STRESS, DEFLECTIONS The beam, or flexural member, is frequently encountered in structures and machines, and its elementary stress analysis constitutes one of the more interesting facets
More informationMarch 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 informationDiscontinuous Distributions in Mechanics of Materials
Discontinuous Distributions in Mechanics of Materials J.E. Akin, Rice University 1. Introduction The study of the mechanics of materials continues to change slowly. The student needs to learn about software
More informationMEG 741 Energy and Variational Methods in Mechanics I
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
More informationEQUATIONS OF EQUILIBRIUM & TWO- AND THREE-FORCE MEMEBERS
EQUATIONS OF EQUILIBRIUM & TWO- AND THREE-FORCE MEMEBERS Today s Objectives: Students will be able to: a) Apply equations of equilibrium to solve for unknowns, and b) Recognize two-force members. In-Class
More information