Final Examination Study Set 1. (Solutions will be in the Solutions Manual of Textbook)

Size: px
Start display at page:

Download "Final Examination Study Set 1. (Solutions will be in the Solutions Manual of Textbook)"

Transcription

1 Final Examination Study Set 1 (Solutions will be in the Solutions Manual of Textbook)

2

3

4

5

6

7

8

9 Final Examination Study Set 2 (Solutions will be in the Solutions Manual of Textbook)

10

11 3/86 The shaft, lever, and handle are welded together and consitute a single rigid body. Their combined mass is 28kg with mass centre at G. The assembly is mounted in bearings A and B, and rotation is prevented by link CD. Determine the forces exerted on the shaft by bearings A and B while the 30 N m couple is applied to the handle as shown? Would these forces change if the couple were applied to the shaft AB rather than to the handle?

12

13 4/109 Determine the compression force C exerted on the can for an applied force P=50N when the can crusher is in the position shown. Note that there are two links AB and two links AOD, with one pair of linkages on each side of the stationary portion of the crusher. Also, pin B is on the vertical centerline of the can. Finally, note that small square projections E of the moving jaw move in recessed slots of the fixed frame. Ans: C = 249 N

14

15

16

17 Engineering Statics Full Course Overview and Final Exam Guidelines (Statics MRU Spring 2012 Kaitlin Ford)

18 REVIEW FOR FINAL Outline: Exam Format and Content Tips and Strategies Course Review Review Problems

19 EXAM FORMAT Thursday, June 21 9 a.m. to noon(3 hours) Room: B101 Allowed one page (8½ x 11) both sides handwritten notes Allowed pencil, pen, eraser, calculator, ruler You will be given a table of centroids 7 full solution questions COVERS THE ENTIRE COURSE!

20

21 EXAM GENERAL TIPS Get enough sleep the night before Eat well Show up early Read all of the instructions Pay attention to the time and total number of marks Read all of the questions Attempt all questions Stay positive and calm

22 EXAM STATICS TIPS Start every question (MARKS!) Write givens and finds Draw a nice diagram (FBD) Write equations of equilibrium Make your solutions tidy Don t crowd your work Draw clear, large, labeled diagrams Explain your work (words, equations, assumptions) Check answers ** Chapter 2 Review Slides have more detailed tips**

23 COURSE REVIEW CHAPTER 1 Chapter 1 Introduction and Background Material Types of Questions: Chapter covers basic skills, you need to know this material to do all other chapters.

24 COURSE REVIEW CHAPTER 2 Properties of Forces Two Dimensional Force Systems Rectangular components Moment Couple Resultants Three Dimensional Force Systems Rectangular components Moment Couple Resultants Need unit vectors

25 COURSE REVIEW CHAPTER 2 Types of Questions: Resultant Force (R = ΣF) Moment about a point Moment about a line Moment of a couple Equivalent couples Equivalent systems Reduction of systems Again, chapter covers basic skills, you need to know this material to do all other chapters.

26 COURSE REVIEW CHAPTER 3 Chapter 3 - EQUILIBRIUM Free-Body Diagrams Reactions at supports and connections Equilibrium in Two-Dimensions 2 & 3 force bodies Constraints & determinacy Equilibrium in Three-Dimensions Types of Questions: Rigid Body Equilibrium ( F = 0, M = 0) 2D or 3D

27 COURSE REVIEW CHAPTER 4 Chapter 4 - STRUCTURES Trusses Method of Joints Special Cases Method of Sections Frames Machines Types of Questions: Find force in member(s), and/or reactions

28 COURSE REVIEW CHAPTER 5 Chapter 5 Distributed Forces Centres of Mass and Centroids Composite Bodies Beams External Effects & Internal Effects Types of Questions: Find centroid (composite) Find reactions at end of beam with distributed loads Draw shear and/or bending moment diagrams Find maximum values of shear or bending

29 COURSE REVIEW CHAPTER 6 Chapter 6 Friction odry Friction oimpending motion Types of Questions: oequilibrium with Friction Force acting owill it slide? (versus stay still or tip) owhat force will keep it in equilibrium

30 REVIEW QUESTION CHAPTER 3 & 5 The framework is supported by the member AB which rests on the smooth floor. When loaded, the pressure distribution on AB is linear as shown. Determine the smallest length d of member AB so that it will prevent the frame from tipping over. What is the intensity w for this case?

31 REVIEW QUESTION CHAPTER 3 & 5 Given: See the diagram Find: Smallest d for no tipping (NO MOTION) therefore equilibrium & w smallest d

32 REVIEW QUESTION CHAPTER 3 & 5

33 REVIEW QUESTION CHAPTER 5 The beam will safely support shear forces and bending moments of magnitudes 2 kn and 6.6 knm respectively. On the basis of this criterion, can it safely be subjected to the loads F = 1 kn and C = 1.6 knm?

34 REVIEW QUESTION CHAPTER 5 Given: MAX Shear Force is 2kN MAX Bending moment is 6.6kN*m Dimensions on FBD Find: Can the beam safely support F=1kN & C=1.6kN*m?

35 REVIEW QUESTION CHAPTER 5

36 REVIEW QUESTION CHAPTER 4 & 5 Determine the horizontal and vertical components of reaction at the pin supports A and E of the compound beam assembly.

37 REVIEW QUESTION CHAPTER 4 & 5

38 REVIEW QUESTION CHAPTER 4 The hinged frames ACE and DFB are connected by two hinged bars, AB and CD, which cross without being connected. Compute the force in AB. TEXT SEE 4/46 on page 195

39 REVIEW QUESTION CHAPTER 4

REVIEW. Final Exam. Final Exam Information. Final Exam Information. Strategy for Studying. Test taking strategy. Sign Convention Rules

REVIEW. Final Exam. Final Exam Information. Final Exam Information. Strategy for Studying. Test taking strategy. Sign Convention Rules Final Exam Information REVIEW Final Exam (Print notes) DATE: WEDNESDAY, MAY 12 TIME: 1:30 PM - 3:30 PM ROOM ASSIGNMENT: Toomey Hall Room 199 1 2 Final Exam Information Comprehensive exam covers all topics

More information

MEE224: Engineering Mechanics Lecture 4

MEE224: Engineering Mechanics Lecture 4 Lecture 4: Structural Analysis Part 1: Trusses So far we have only analysed forces and moments on a single rigid body, i.e. bars. Remember that a structure is a formed by and this lecture will investigate

More information

TUTORIAL SHEET 1. magnitude of P and the values of ø and θ. Ans: ø =74 0 and θ= 53 0

TUTORIAL SHEET 1. magnitude of P and the values of ø and θ. Ans: ø =74 0 and θ= 53 0 TUTORIAL SHEET 1 1. The rectangular platform is hinged at A and B and supported by a cable which passes over a frictionless hook at E. Knowing that the tension in the cable is 1349N, determine the moment

More information

Equilibrium of a Rigid Body. Chapter 5

Equilibrium 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 information

F 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

F 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 information

Equilibrium of a Particle

Equilibrium of a Particle ME 108 - Statics Equilibrium of a Particle Chapter 3 Applications For a spool of given weight, what are the forces in cables AB and AC? Applications For a given weight of the lights, what are the forces

More information

Supplement: Statically Indeterminate Trusses and Frames

Supplement: 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 information

Engineering Mechanics Statics

Engineering 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 information

Mechanics of Materials

Mechanics 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 information

ASSOCIATE DEGREE IN ENGINEERING EXAMINATIONS SEMESTER /13

ASSOCIATE DEGREE IN ENGINEERING EXAMINATIONS SEMESTER /13 ASSOCIATE DEGREE IN ENGINEERING EXAMINATIONS SEMESTER 2 2012/13 COURSE NAME: ENGINEERING MECHANICS - STATICS CODE: ENG 2008 GROUP: AD ENG II DATE: May 2013 TIME: DURATION: 2 HOURS INSTRUCTIONS: 1. This

More information

TABLE OF CONTENTS. Preface...

TABLE OF CONTENTS. Preface... TABLE OF CONTENTS Preface...................................... xiv 1 Introduction........................................ 1 1.1 Engineering and Statics.............................. 1 1.2 A Brief History

More information

1. Replace the given system of forces acting on a body as shown in figure 1 by a single force and couple acting at the point A.

1. Replace the given system of forces acting on a body as shown in figure 1 by a single force and couple acting at the point A. Code No: Z0321 / R07 Set No. 1 I B.Tech - Regular Examinations, June 2009 CLASSICAL MECHANICS ( Common to Mechanical Engineering, Chemical Engineering, Mechatronics, Production Engineering and Automobile

More information

The case where there is no net effect of the forces acting on a rigid body

The case where there is no net effect of the forces acting on a rigid body The case where there is no net effect of the forces acting on a rigid body Outline: Introduction and Definition of Equilibrium Equilibrium in Two-Dimensions Special cases Equilibrium in Three-Dimensions

More information

STATICS. FE Review. Statics, Fourteenth Edition R.C. Hibbeler. Copyright 2016 by Pearson Education, Inc. All rights reserved.

STATICS. FE Review. Statics, Fourteenth Edition R.C. Hibbeler. Copyright 2016 by Pearson Education, Inc. All rights reserved. STATICS FE Review 1. Resultants of force systems VECTOR OPERATIONS (Section 2.2) Scalar Multiplication and Division VECTOR ADDITION USING EITHER THE PARALLELOGRAM LAW OR TRIANGLE Parallelogram Law: Triangle

More information

11.1 Virtual Work Procedures and Strategies, page 1 of 2

11.1 Virtual Work Procedures and Strategies, page 1 of 2 11.1 Virtual Work 11.1 Virtual Work rocedures and Strategies, page 1 of 2 rocedures and Strategies for Solving roblems Involving Virtual Work 1. Identify a single coordinate, q, that will completely define

More information

Equilibrium of a Rigid Body. Engineering Mechanics: Statics

Equilibrium of a Rigid Body. Engineering Mechanics: Statics Equilibrium of a Rigid Body Engineering Mechanics: Statics Chapter Objectives Revising equations of equilibrium of a rigid body in 2D and 3D for the general case. To introduce the concept of the free-body

More information

STATICS SECOND EDITION

STATICS SECOND EDITION Engineering Mechanics STATICS SECOND EDITION Michael E. Plesha Department of Engineering Physics University of Wisconsin-Madison Gary L. Gray Department of Engineering Science and Mechanics Penn State

More information

Name. ME 270 Fall 2005 Final Exam PROBLEM NO. 1. Given: A distributed load is applied to the top link which is, in turn, supported by link AC.

Name. ME 270 Fall 2005 Final Exam PROBLEM NO. 1. Given: A distributed load is applied to the top link which is, in turn, supported by link AC. Name ME 270 Fall 2005 Final Exam PROBLEM NO. 1 Given: A distributed load is applied to the top link which is, in turn, supported by link AC. Find: a) Draw a free body diagram of link BCDE and one of link

More information

Statics Chapter II Fall 2018 Exercises Corresponding to Sections 2.1, 2.2, and 2.3

Statics Chapter II Fall 2018 Exercises Corresponding to Sections 2.1, 2.2, and 2.3 Statics Chapter II Fall 2018 Exercises Corresponding to Sections 2.1, 2.2, and 2.3 2 3 Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the

More information

Announcements. Trusses Method of Joints

Announcements. Trusses Method of Joints Announcements Mountain Dew is an herbal supplement Today s Objectives Define a simple truss Trusses Method of Joints Determine the forces in members of a simple truss Identify zero-force members Class

More information

Similar to trusses, frames are generally fixed, load carrying structures.

Similar to trusses, frames are generally fixed, load carrying structures. Similar to trusses, frames are generally fixed, load carrying structures. The main difference between a frame and a truss is that in a frame at least one member is a multi force member (çoklu kuvvet elemanı).

More information

Final Exam - Spring

Final 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 information

EQUATIONS OF EQUILIBRIUM & TWO- AND THREE-FORCE MEMBERS

EQUATIONS 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, and, b) Recognize two-force members. APPLICATIONS

More information

ME Statics. Structures. Chapter 4

ME Statics. Structures. Chapter 4 ME 108 - Statics Structures Chapter 4 Outline Applications Simple truss Method of joints Method of section Germany Tacoma Narrows Bridge http://video.google.com/videoplay?docid=-323172185412005564&q=bruce+lee&pl=true

More information

Announcements. Equilibrium of a Rigid Body

Announcements. 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 information

ENGR-1100 Introduction to Engineering Analysis. Lecture 13

ENGR-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 information

Sample 5. Determine the tension in the cable and the horizontal and vertical components of reaction at the pin A. Neglect the size of the pulley.

Sample 5. Determine the tension in the cable and the horizontal and vertical components of reaction at the pin A. Neglect the size of the pulley. Sample 1 The tongs are designed to handle hot steel tubes which are being heat-treated in an oil bath. For a 20 jaw opening, what is the minimum coefficient of static friction between the jaws and the

More information

P.E. Civil Exam Review:

P.E. Civil Exam Review: P.E. Civil Exam Review: Structural Analysis J.P. Mohsen Email: jpm@louisville.edu Structures Determinate Indeterminate STATICALLY DETERMINATE STATICALLY INDETERMINATE Stability and Determinacy of Trusses

More information

3.1 CONDITIONS FOR RIGID-BODY EQUILIBRIUM

3.1 CONDITIONS FOR RIGID-BODY EQUILIBRIUM 3.1 CONDITIONS FOR RIGID-BODY EQUILIBRIUM Consider rigid body fixed in the x, y and z reference and is either at rest or moves with reference at constant velocity Two types of forces that act on it, the

More information

Supplement: Statically Indeterminate Frames

Supplement: 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 information

Eng Sample Test 4

Eng 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 information

ENGINEERING MECHANICS SOLUTIONS UNIT-I

ENGINEERING MECHANICS SOLUTIONS UNIT-I LONG QUESTIONS ENGINEERING MECHANICS SOLUTIONS UNIT-I 1. A roller shown in Figure 1 is mass 150 Kg. What force P is necessary to start the roller over the block A? =90+25 =115 = 90+25.377 = 115.377 = 360-(115+115.377)

More information

Beams. 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 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 information

ENG202 Statics Lecture 16, Section 7.1

ENG202 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 information

When a rigid body is in equilibrium, both the resultant force and the resultant couple must be zero.

When a rigid body is in equilibrium, both the resultant force and the resultant couple must be zero. When a rigid body is in equilibrium, both the resultant force and the resultant couple must be zero. 0 0 0 0 k M j M i M M k R j R i R F R z y x z y x Forces and moments acting on a rigid body could be

More information

6.6 FRAMES AND MACHINES APPLICATIONS. Frames are commonly used to support various external loads.

6.6 FRAMES AND MACHINES APPLICATIONS. Frames are commonly used to support various external loads. 6.6 FRAMES AND MACHINES APPLICATIONS Frames are commonly used to support various external loads. How is a frame different than a truss? How can you determine the forces at the joints and supports of a

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS MM 210 MECHANICS OF MATERIALS 2012-2013 1 1.INTRODUCTION TO MECHANICS OF MATERIALS WHAT IS MECHANICS OF MATERIALS? Mechanics is the physical science that deals with the conditions of rest or motion of

More information

Plane Trusses Trusses

Plane Trusses Trusses TRUSSES Plane Trusses Trusses- It is a system of uniform bars or members (of various circular section, angle section, channel section etc.) joined together at their ends by riveting or welding and constructed

More information

ENGR-1100 Introduction to Engineering Analysis. Lecture 23

ENGR-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 information

FRAMES AND MACHINES Learning Objectives 1). To evaluate the unknown reactions at the supports and the interaction forces at the connection points of a

FRAMES AND MACHINES Learning Objectives 1). To evaluate the unknown reactions at the supports and the interaction forces at the connection points of a FRAMES AND MACHINES Learning Objectives 1). To evaluate the unknown reactions at the supports and the interaction forces at the connection points of a rigid frame in equilibrium by solving the equations

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

7 STATICALLY DETERMINATE PLANE TRUSSES

7 STATICALLY DETERMINATE PLANE TRUSSES 7 STATICALLY DETERMINATE PLANE TRUSSES OBJECTIVES: This chapter starts with the definition of a truss and briefly explains various types of plane truss. The determinancy and stability of a truss also will

More information

Solution: The moment of inertia for the cross-section is: ANS: ANS: Problem 15.6 The material of the beam in Problem

Solution: 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 information

Chapter Objectives. Copyright 2011 Pearson Education South Asia Pte Ltd

Chapter Objectives. Copyright 2011 Pearson Education South Asia Pte Ltd Chapter Objectives To develop the equations of equilibrium for a rigid body. To introduce the concept of the free-body diagram for a rigid body. To show how to solve rigid-body equilibrium problems using

More information

EQUATIONS OF EQUILIBRIUM & TWO- AND THREE-FORCE MEMEBERS

EQUATIONS 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

Beams are bars of material that support. Beams are common structural members. Beams can support both concentrated and distributed loads

Beams 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 information

READING QUIZ. 2. When using the method of joints, typically equations of equilibrium are applied at every joint. A) Two B) Three C) Four D) Six

READING QUIZ. 2. When using the method of joints, typically equations of equilibrium are applied at every joint. A) Two B) Three C) Four D) Six READING QUIZ 1. One of the assumptions used when analyzing a simple truss is that the members are joined together by. A) Welding B) Bolting C) Riveting D) Smooth pins E) Super glue 2. When using the method

More information

[8] Bending and Shear Loading of Beams

[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 information

Outline: Frames Machines Trusses

Outline: Frames Machines Trusses Outline: Frames Machines Trusses Properties and Types Zero Force Members Method of Joints Method of Sections Space Trusses 1 structures are made up of several connected parts we consider forces holding

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

I B.TECH EXAMINATIONS, JUNE ENGINEERING MECHANICS (COMMON TO CE, ME, CHEM, MCT, MMT, AE, AME, MIE, MIM)

I B.TECH EXAMINATIONS, JUNE ENGINEERING MECHANICS (COMMON TO CE, ME, CHEM, MCT, MMT, AE, AME, MIE, MIM) Code.No: 09A1BS05 R09 SET-1 I B.TECH EXAMINATIONS, JUNE - 2011 ENGINEERING MECHANICS (COMMON TO CE, ME, CHEM, MCT, MMT, AE, AME, MIE, MIM) Time: 3 hours Max. Marks: 75 Answer any FIVE questions All questions

More information

Engineering Mechanics: Statics in SI Units, 12e

Engineering Mechanics: Statics in SI Units, 12e Engineering Mechanics: Statics in SI Units, 12e 5 Equilibrium of a Rigid Body Chapter Objectives Develop the equations of equilibrium for a rigid body Concept of the free-body diagram for a rigid body

More information

Continuing Education Course #207 What Every Engineer Should Know About Structures Part B Statics Applications

Continuing Education Course #207 What Every Engineer Should Know About Structures Part B Statics Applications 1 of 6 Continuing Education Course #207 What Every Engineer Should Know About Structures Part B Statics Applications 1. As a practical matter, determining design loads on structural members involves several

More information

EQUILIBRIUM OF A RIGID BODY

EQUILIBRIUM 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 information

Chapter 6: Structural Analysis

Chapter 6: Structural Analysis Chapter 6: Structural Analysis Chapter Objectives To show how to determine the forces in the members of a truss using the method of joints and the method of sections. To analyze the forces acting on the

More information

Lecture 23. ENGR-1100 Introduction to Engineering Analysis FRAMES S 1

Lecture 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 information

SN QUESTION YEAR MARK 1. State and prove the relationship between shearing stress and rate of change of bending moment at a section in a loaded beam.

SN QUESTION YEAR MARK 1. State and prove the relationship between shearing stress and rate of change of bending moment at a section in a loaded beam. ALPHA COLLEGE OF ENGINEERING AND TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING MECHANICS OF SOLIDS (21000) ASSIGNMENT 1 SIMPLE STRESSES AND STRAINS SN QUESTION YEAR MARK 1 State and prove the relationship

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

e14 - applied mechanics: statics e14 - applied mechanics: statics mon/wed/fri, 12:50-2:05pm, syllabus e14 - applied mechanics: statics

e14 - applied mechanics: statics e14 - applied mechanics: statics mon/wed/fri, 12:50-2:05pm, syllabus e14 - applied mechanics: statics e14 - applied mechanics: statics e14 - applied mechanics: statics mon/wed/fri, 12:50-2:05pm, 370-3701 e14 - applied mechanics: statics regular final mon, 06/06/11, 8:30-10:30am, 120 min, cubaud regular

More information

SRSD 2093: Engineering Mechanics 2SRRI SECTION 19 ROOM 7, LEVEL 14, MENARA RAZAK

SRSD 2093: Engineering Mechanics 2SRRI SECTION 19 ROOM 7, LEVEL 14, MENARA RAZAK SRSD 2093: Engineering Mechanics 2SRRI SECTION 19 ROOM 7, LEVEL 14, MENARA RAZAK SIMPLE TRUSSES, THE METHOD OF JOINTS, & ZERO-FORCE MEMBERS Today s Objectives: Students will be able to: a) Define a simple

More information

If the solution does not follow a logical thought process, it will be assumed in error.

If 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 information

Newton s Third Law Newton s Third Law: For each action there is an action and opposite reaction F

Newton s Third Law Newton s Third Law: For each action there is an action and opposite reaction F FRAMES AND MACHINES Learning Objectives 1). To evaluate the unknown reactions at the supports and the interaction forces at the connection points of a rigid frame in equilibrium by solving the equations

More information

WORCESTER POLYTECHNIC INSTITUTE

WORCESTER POLYTECHNIC INSTITUTE WORCESTER POLYTECHNIC INSTITUTE MECHANICAL ENGINEERING DEPARTMENT STRESS ANALYSIS ES-2502, C 2012 Lecture 03: Stress 17 January 2012 General information Instructor: Cosme Furlong HL-151 (508) 831-5126

More information

Physics 8, Fall 2017, Practice Exam.

Physics 8, Fall 2017, Practice Exam. Physics 8, Fall 2017, Practice Exam. Name: This open-book take-home exam is 10% of your course grade. (The in-class final exam will be 20% of your course grade. For the in-class exam, you can bring one

More information

When a rigid body is in equilibrium, both the resultant force and the resultant couple must be zero.

When a rigid body is in equilibrium, both the resultant force and the resultant couple must be zero. When a rigid body is in equilibrium, both the resultant force and the resultant couple must be zero. 0 0 0 0 k M j M i M M k R j R i R F R z y x z y x Forces and moments acting on a rigid body could be

More information

Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Monday / Thursday Sections. Fall '17.

Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Monday / Thursday Sections. Fall '17. Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Monday / Thursday Sections Fall 2017 All course materials are available on the RPI Learning Management System (LMS) website.

More information

SOLUTION 8 1. a+ M B = 0; N A = 0. N A = kn = 16.5 kn. Ans. + c F y = 0; N B = 0

SOLUTION 8 1. a+ M B = 0; N A = 0. N A = kn = 16.5 kn. Ans. + c F y = 0; N B = 0 8 1. The mine car and its contents have a total mass of 6 Mg and a center of gravity at G. If the coefficient of static friction between the wheels and the tracks is m s = 0.4 when the wheels are locked,

More information

MECE 3321: Mechanics of Solids Chapter 6

MECE 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 information

IDE 110 Mechanics of Materials Spring 2006 Final Examination FOR GRADING ONLY

IDE 110 Mechanics of Materials Spring 2006 Final Examination FOR GRADING ONLY Spring 2006 Final Examination STUDENT S NAME (please print) STUDENT S SIGNATURE STUDENT NUMBER IDE 110 CLASS SECTION INSTRUCTOR S NAME Do not turn this page until instructed to start. Write your name on

More information

Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Monday / Thursday Sections. Fall '10.

Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Monday / Thursday Sections. Fall '10. Introduction to Engineering Analysis - ENGR1100 Course Description and Syllabus Monday / Thursday Sections Fall 2010 All course materials are available on the RPI Learning Management System (LMS) website.

More information

ES226 (01) Engineering Mechanics: Statics Spring 2018 Lafayette College Engineering Division

ES226 (01) Engineering Mechanics: Statics Spring 2018 Lafayette College Engineering Division ES226 (01) Engineering Mechanics: Statics Spring 2018 Lafayette College Engineering Division Exam 1 Study Guide Exam 1: Tuesday, February 6, 2018 7:30 to 8:30pm Kirby Room 104 Exam Format: 50 minute time

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

ME 201 Engineering Mechanics: Statics. Final Exam Review

ME 201 Engineering Mechanics: Statics. Final Exam Review ME 201 Engineering Mechanics: Statics inal Exam Review inal Exam Testing Center (Proctored, 1 attempt) Opens: Monday, April 9 th Closes : riday, April 13 th Test ormat 15 Problems 10 Multiple Choice (75%)

More information

Please review the following statement: I certify that I have not given unauthorized aid nor have I received aid in the completion of this exam.

Please review the following statement: I certify that I have not given unauthorized aid nor have I received aid in the completion of this exam. Please review the following statement: I certify that I have not given unauthorized aid nor have I received aid in the completion of this exam. Signature: INSTRUCTIONS Begin each problem in the space provided

More information

The University of Melbourne Engineering Mechanics

The University of Melbourne Engineering Mechanics The University of Melbourne 436-291 Engineering Mechanics Tutorial Four Poisson s Ratio and Axial Loading Part A (Introductory) 1. (Problem 9-22 from Hibbeler - Statics and Mechanics of Materials) A short

More information

FUNDAMENTALS OF ENGINEERING CIVIL EXAM TOPICS. Computer-Based Test (CBT)

FUNDAMENTALS OF ENGINEERING CIVIL EXAM TOPICS. Computer-Based Test (CBT) FUNDAMENTALS OF ENGINEERING CIVIL EXAM TOPICS Computer-Based Test (CBT) Total Number of Questions: 110 Time: 6 hours The new Civil FE Computer Based Test (CBT) consists of 110 multiple choice questions

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

EQUILIBRIUM OF A RIGID BODY & FREE-BODY DIAGRAMS

EQUILIBRIUM 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 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

PORTMORE COMMUNITY COLLEGE ASSOCIATE DEGREE IN ENGINEERING TECHNOLOGY

PORTMORE COMMUNITY COLLEGE ASSOCIATE DEGREE IN ENGINEERING TECHNOLOGY PORTMORE COMMUNITY COLLEGE ASSOCIATE DEGREE IN ENGINEERING TECHNOLOGY RESIT EXAMINATIONS SEMESTER 2 JUNE 2011 COURSE NAME: Mechanical Engineering Science CODE: GROUP: ADET 1 DATE: JUNE 28 TIME: DURATION:

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

Delft Applied Mechanics Course: Statics AE1-914-I. 18 August 2004, 9:00 12:00

Delft Applied Mechanics Course: Statics AE1-914-I. 18 August 2004, 9:00 12:00 Delft pplied Mechanics Course: Statics E1-914-I 18 ugust 2004, 9:00 12:00 This is the English exam. Only the answer forms will be collected ny other sheets will be rejected. Write down your name and student

More information

Spring 2018 Lecture 28 Exam Review

Spring 2018 Lecture 28 Exam Review Statics - TAM 210 & TAM 211 Spring 2018 Lecture 28 Exam Review Announcements Concept Inventory: Ungraded assessment of course knowledge Extra credit: Complete #1 or #2 for 0.5 out of 100 pt of final grade

More information

PROBLEMS. m s TAC. m = 60 kg/m, determine the tension in the two supporting cables and the reaction at D.

PROBLEMS. m s TAC. m = 60 kg/m, determine the tension in the two supporting cables and the reaction at D. 1. he uniform I-beam has a mass of 60 kg per meter of its length. Determine the tension in the two supporting cables and the reaction at D. (3/62) A( 500) m (5 23) m m = 60 kg/m determine the tension in

More information

Entrance exam Master Course

Entrance exam Master Course - 1 - Guidelines for completion of test: On each page, fill in your name and your application code Each question has four answers while only one answer is correct. o Marked correct answer means 4 points

More information

MTE 119 STATICS FINAL HELP SESSION REVIEW PROBLEMS PAGE 1 9 NAME & ID DATE. Example Problem P.1

MTE 119 STATICS FINAL HELP SESSION REVIEW PROBLEMS PAGE 1 9 NAME & ID DATE. Example Problem P.1 MTE STATICS Example Problem P. Beer & Johnston, 004 by Mc Graw-Hill Companies, Inc. The structure shown consists of a beam of rectangular cross section (4in width, 8in height. (a Draw the shear and bending

More information

Statics - TAM 211. Lecture 14 October 19, 2018

Statics - 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 information

2014 MECHANICS OF MATERIALS

2014 MECHANICS OF MATERIALS R10 SET - 1 II. Tech I Semester Regular Examinations, March 2014 MEHNIS OF MTERILS (ivil Engineering) Time: 3 hours Max. Marks: 75 nswer any FIVE Questions ll Questions carry Equal Marks ~~~~~~~~~~~~~~~~~~~~~~~~~

More information

Announcements. Equilibrium of a Particle in 2-D

Announcements. Equilibrium of a Particle in 2-D nnouncements Equilibrium of a Particle in 2-D Today s Objectives Draw a free body diagram (FBD) pply equations of equilibrium to solve a 2-D problem Class ctivities pplications What, why, and how of a

More information

SOLUTION 8 7. To hold lever: a+ M O = 0; F B (0.15) - 5 = 0; F B = N. Require = N N B = N 0.3. Lever,

SOLUTION 8 7. To hold lever: a+ M O = 0; F B (0.15) - 5 = 0; F B = N. Require = N N B = N 0.3. Lever, 8 3. If the coefficient of static friction at is m s = 0.4 and the collar at is smooth so it only exerts a horizontal force on the pipe, determine the minimum distance x so that the bracket can support

More information

TYPES OF STRUCUTRES. HD in Civil Engineering Page 1-1

TYPES OF STRUCUTRES. HD in Civil Engineering Page 1-1 E2027 Structural nalysis I TYPES OF STRUUTRES H in ivil Engineering Page 1-1 E2027 Structural nalysis I SUPPORTS Pin or Hinge Support pin or hinge support is represented by the symbol H or H V V Prevented:

More information

SECTION A. 8 kn/m. C 3 m 3m

SECTION A. 8 kn/m. C 3 m 3m SECTION Question 1 150 m 40 kn 5 kn 8 kn/m C 3 m 3m D 50 ll dimensions in mm 15 15 Figure Q1(a) Figure Q1(b) The horizontal beam CD shown in Figure Q1(a) has a uniform cross-section as shown in Figure

More information

To show how to determine the forces in the members of a truss using the method of joints and the method of sections.

To show how to determine the forces in the members of a truss using the method of joints and the method of sections. 5 Chapter Objectives To show how to determine the forces in the members of a truss using the method of joints and the method of sections. To analyze the forces acting on the members of frames and machines

More information

techie-touch.blogspot.com DEPARTMENT OF CIVIL ENGINEERING ANNA UNIVERSITY QUESTION BANK CE 2302 STRUCTURAL ANALYSIS-I TWO MARK QUESTIONS UNIT I DEFLECTION OF DETERMINATE STRUCTURES 1. Write any two important

More information

Check Homework. Reading Quiz Applications Equations of Equilibrium Example Problems Concept Questions Group Problem Solving Attention Quiz

Check Homework. Reading Quiz Applications Equations of Equilibrium Example Problems Concept Questions Group Problem Solving Attention Quiz THREE-DIMENSIONAL FORCE SYSTEMS Today s Objectives: Students will be able to solve 3-D particle equilibrium problems by a) Drawing a 3-D free body diagram, and, b) Applying the three scalar equations (based

More information

Foundations and Applications of Engineering Mechanics

Foundations and Applications of Engineering Mechanics Foundations and Applications of Engineering Mechanics 4843/24, 2nd Floor, Ansari Road, Daryaganj, Delhi - 110002, India Cambridge University Press is part of the University of Cambridge. It furthers the

More information

Chapter 7: Bending and Shear in Simple Beams

Chapter 7: Bending and Shear in Simple Beams Chapter 7: Bending and Shear in Simple Beams Introduction A beam is a long, slender structural member that resists loads that are generally applied transverse (perpendicular) to its longitudinal axis.

More information

B.Tech. Civil (Construction Management) / B.Tech. Civil (Water Resources Engineering)

B.Tech. Civil (Construction Management) / B.Tech. Civil (Water Resources Engineering) I B.Tech. Civil (Construction Management) / B.Tech. Civil (Water Resources Engineering) Term-End Examination 00 December, 2009 Co : ENGINEERING MECHANICS CD Time : 3 hours Maximum Marks : 70 Note : Attempt

More information

Determinate portal frame

Determinate portal frame eterminate portal frame onsider the frame shown in the figure below with the aim of calculating the bending moment diagram (M), shear force diagram (SF), and axial force diagram (F). P H y R x x R y L

More information

Name: Fall 2014 CLOSED BOOK

Name: Fall 2014 CLOSED BOOK Name: Fall 2014 1. Rod AB with weight W = 40 lb is pinned at A to a vertical axle which rotates with constant angular velocity ω =15 rad/s. The rod position is maintained by a horizontal wire BC. Determine

More information