three Point Equilibrium 1 and planar trusses ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2014 lecture
|
|
- Jade Walton
- 5 years ago
- Views:
Transcription
1 ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2014 lecture three point equilibrium nisee.berkeley.edu/godden and planar trusses Point Equilibrium 1
2 Equilibrium balanced steady resultant of forces on a particle is 0 X X = Point Equilibrium 2
3 Equilibrium on a Point analytically R F x x 0 R F y y 0 Newton convinces us it will stay at rest Point Equilibrium 3
4 Equilibrium on a Point collinear force system ex: cables F in line 0 R F 0 R F 0 x x y y Point Equilibrium 4
5 Equilibrium on a Point concurrent force system ex: cables R F x x 0 R F y y 0 Point Equilibrium 5
6 Free Body Diagram FBD (sketch) tool to see all forces on a body or a point including external forces weights force reactions internal forces Point Equilibrium 6
7 Free Body Diagram determine point FREE it from: ground supports & connections draw all external forces acting ON the body reactions (supporting forces) applied forces gravity = m g Point Equilibrium 7
8 Free Body Diagram sketch FBD with relevant geometry resolve each force into components known & unknown angles name them known & unknown forces name them are any forces related to other forces? for the unknowns write only as many equilibrium equations as needed solve up to 2 equations Point Equilibrium 8
9 Free Body Diagram solve equations most times 1 unknown easily solved plug into other equation(s) common to have unknowns of force magnitudes force angles Point Equilibrium 9
10 Truss Structures ancient (?) wood Romans 500 B.C. Renaissance revival 1800 s analysis efficient Point Equilibrium 10
11 Truss Structures analogous to cables and struts Point Equilibrium 11
12 Truss Structures comprised of straight members geometry with triangles is stable loads applied only at pin joints nisee.berkeley.edu/godden Point Equilibrium 12
13 Truss Structures 2 force members forces in line, equal and opposite compression tension 3 members connected by 3 joints 2 more members need 1 more joint b 2n 3 Point Equilibrium 13
14 Truss Structures compression and tension Point Equilibrium 14
15 Truss Structures statically determinate indeterminate unstable Point Equilibrium 15
16 Trusses common designs Point Equilibrium 16
17 Trusses common designs Point Equilibrium 17
18 Trusses uses roofs & canopies long spans lateral bracing Point Equilibrium 18
19 Truss Connections pins nisee.berkeley.edu/godden Point Equilibrium 19
20 Sainsbury Center, Foster 1978 Point Equilibrium 20
21 Sainsbury Center, Foster 1978 Point Equilibrium 21
22 Truss Analysis visualize compression and tension from deformed shape nisee.berkeley.edu/godden Point Equilibrium 22
23 Truss Analysis Method of Joints Graphical Methods Method of Sections all rely on equilibrium of bodies internal equilibrium Point Equilibrium 23
24 Method of Joints isolate each joint P enforce equilibrium in F x and F y can find all forces A F E C D P B long easy to mess up Point Equilibrium 24
25 Joint Cases two bodies connected equal equal and 0 Point Equilibrium 25
26 Joint Cases three bodies with two in line C B A D or A B C D or even A D B C x 0 x 0 0 x Point Equilibrium 26
27 Joint Cases crossed A B D P C A B P D C A D B E C A D B E C equal Point Equilibrium 27
28 Tools Multiframe in computer lab Point Equilibrium 28
29 Tools Multiframe frame window define truss members or pre-defined truss select points, assign supports select members, assign section & assign pin ends load window select points, add point load Point Equilibrium 29
30 Tools Multiframe to run analysis choose Analyze menu plot Linear choose options results choose options Point Equilibrium 30
three Equilibrium 1 and planar trusses ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SPRING 2015 lecture ARCH 614
ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SPRING 2015 lecture three equilibrium and planar trusses Equilibrium 1 Equilibrium balanced steady resultant of forces
More informationthree point equilibrium and planar trusses Equilibrium Equilibrium on a Point Equilibrium on a Point
RHITETURL STRUTURES: FORM, EHVIOR, N ESIGN R. NNE NIHOLS SUMMER 2014 lecture three Equilibrium balanced steady resultant of forces on a particle is 0 X point equilibrium and planar trusses http:// nisee.berkeley.edu/godden
More informationtwo loads, forces and vectors ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SPRING 2017 lecture ARCH 614
ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SPRING 2017 lecture two y x z loads, forces and vectors Forces 1 Structural Design planning preliminary structural configuration
More informationNewton 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 informationThe centroid of an area is defined as the point at which (12-2) The distance from the centroid of a given area to a specified axis may be found by
Unit 12 Centroids Page 12-1 The centroid of an area is defined as the point at which (12-2) The distance from the centroid of a given area to a specified axis may be found by (12-5) For the area shown
More informationFRAMES 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 informationChapter 6: Structural Analysis
Chapter 6: Structural Analysis APPLICATIONS Trusses are commonly used to support a roof. For a given truss geometry and load, how can we determine the forces in the truss members and select their sizes?
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 informationENGINEERING MECHANICS STATIC
Trusses Simple trusses The basic element of a truss is the triangle, three bars joined by pins at their ends, fig. a below, constitutes a rigid frame. The term rigid is used to mean noncollapsible and
More informationEngineering Mechanics: Statics STRUCTURAL ANALYSIS. by Dr. Ibrahim A. Assakkaf SPRING 2007 ENES 110 Statics
CHAPTER Engineering Mechanics: Statics STRUCTURAL ANALYSIS College of Engineering Department of Mechanical Engineering Tenth Edition 6a by Dr. Ibrahim A. Assakkaf SPRING 2007 ENES 110 Statics Department
More informationTo 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 informationChapter 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 informationPlane 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 informationENGR-1100 Introduction to Engineering Analysis. Lecture 19
ENGR-1100 Introduction to Engineering Analysis Lecture 19 SIMPLE TRUSSES, THE METHOD OF JOINTS, & ZERO-FORCE MEMBERS Today s Objectives: Students will be able to: In-Class Activities: a) Define a simple
More informationMethod of Sections for Truss Analysis
Method of Sections for Truss Analysis Notation: (C) = shorthand for compression P = name for load or axial force vector (T) = shorthand for tension Joint Configurations (special cases to recognize for
More informationCHAPTER 2: EQUILIBRIUM OF RIGID BODIES
For a rigid body to be in equilibrium, the net force as well as the net moment about any arbitrary point O must be zero Summation of all external forces. Equilibrium: Sum of moments of all external forces.
More informationStatics: Lecture Notes for Sections
Chapter 6: Structural Analysis Today s Objectives: Students will be able to: a) Define a simple truss. b) Determine the forces in members of a simple truss. c) Identify zero-force members. READING QUIZ
More informationME 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 informationOutline: 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 informationCHAPTER 5 ANALYSIS OF STRUCTURES. Expected Outcome:
CHAPTER ANALYSIS O STRUCTURES Expected Outcome: Able to analyze the equilibrium of structures made of several connected parts, using the concept of the equilibrium of a particle or of a rigid body, in
More informationPin-Jointed Frame Structures (Frameworks)
Pin-Jointed rame Structures (rameworks) 1 Pin Jointed rame Structures (rameworks) A pin-jointed frame is a structure constructed from a number of straight members connected together at their ends by frictionless
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 5 Statically Determinate Plane Trusses
CHAPTER 5 Statically Determinate Plane Trusses TYPES OF ROOF TRUSS TYPES OF ROOF TRUSS ROOF TRUSS SETUP ROOF TRUSS SETUP OBJECTIVES To determine the STABILITY and DETERMINACY of plane trusses To analyse
More informationCHAPTER 5 Statically Determinate Plane Trusses TYPES OF ROOF TRUSS
CHAPTER 5 Statically Determinate Plane Trusses TYPES OF ROOF TRUSS 1 TYPES OF ROOF TRUSS ROOF TRUSS SETUP 2 ROOF TRUSS SETUP OBJECTIVES To determine the STABILITY and DETERMINACY of plane trusses To analyse
More informationMEE224: 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 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 informationSRSD 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 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 information7 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 information6.6 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 informationtwo forces and moments Structural Math Physics for Structures Structural Math
RHITETURL STRUTURES: ORM, EHVIOR, ND DESIGN DR. NNE NIHOLS SUMMER 05 lecture two forces and moments orces & Moments rchitectural Structures 009abn Structural Math quantify environmental loads how big is
More information3.1 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 informationTheory of structure I 2006/2013. Chapter one DETERMINACY & INDETERMINACY OF STRUCTURES
Chapter one DETERMINACY & INDETERMINACY OF STRUCTURES Introduction A structure refers to a system of connected parts used to support a load. Important examples related to civil engineering include buildings,
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 informationLecture 20. ENGR-1100 Introduction to Engineering Analysis THE METHOD OF SECTIONS
ENGR-1100 Introduction to Engineering Analysis Lecture 20 THE METHOD OF SECTIONS Today s Objectives: Students will be able to determine: 1. Forces in truss members using the method of sections. In-Class
More informationENGR-1100 Introduction to Engineering Analysis. Lecture 20
ENGR-1100 Introduction to Engineering Analysis Lecture 20 Today s Objectives: THE METHOD OF SECTIONS Students will be able to determine: 1. Forces in truss members using the method of sections. In-Class
More informationEngineering Mechanics Department of Mechanical Engineering Dr. G. Saravana Kumar Indian Institute of Technology, Guwahati
Engineering Mechanics Department of Mechanical Engineering Dr. G. Saravana Kumar Indian Institute of Technology, Guwahati Module 3 Lecture 6 Internal Forces Today, we will see analysis of structures part
More informationChapter 5: Equilibrium of a Rigid Body
Chapter 5: Equilibrium of a Rigid Body Chapter Objectives To develop the equations of equilibrium for a rigid body. To introduce the concept of a free-body diagram for a rigid body. To show how to solve
More informationIshik University / Sulaimani Architecture Department. Structure. ARCH 214 Chapter -5- Equilibrium of a Rigid Body
Ishik University / Sulaimani Architecture Department 1 Structure ARCH 214 Chapter -5- Equilibrium of a Rigid Body CHAPTER OBJECTIVES To develop the equations of equilibrium for a rigid body. To introduce
More informationContinuing 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 informationSTATICS VECTOR MECHANICS FOR ENGINEERS: Eleventh Edition CHAPTER. Ferdinand P. Beer E. Russell Johnston, Jr. David F. Mazurek
Eleventh E 6 Analysis CHAPTER VECTOR MECHANICS OR ENGINEERS: STATICS erdinand P. Beer E. Russell Johnston, Jr. David. Mazurek of Structures Contents Application Introduction Definition of a Truss Simple
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. READING
More informationThe area of structural engineering should cover four important aspects : - Planning - Analysis - Design - Construction
Chapter 1 INTRODUCTION TO STRUCTURE Bambang Prihartanto; Shahrul Niza Mokhatar 1.1 STRUCTURE & STRUCTURAL ANALYSIS A structure is defined to a system of connected/fabricated parts used to support a load
More informationAnnouncements. 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 informationModule 1 : Introduction : Review of Basic Concepts in Mechnics Lecture 4 : Static Indeterminacy of Structures
Module 1 : Introduction : Review of Basic Concepts in Mechnics Lecture 4 : Static Indeterminacy of Structures Objectives In this course you will learn the following Review of the concepts of determinate
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 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 informationSIMPLE TRUSSES, THE METHOD OF JOINTS, & ZERO-FORCE MEMBERS
SIMPLE TRUSSES, THE METHOD OF JOINTS, & ZERO-FORCE MEMBERS Today s Objectives: Students will be able to: a) Define a simple truss. b) Determine the forces in members of a simple truss. c) Identify zero-force
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 informationMethod of Sections for Truss Analysis
RH 331 Note Set 5.2 F2013abn Method of Sections for Truss nalysis Notation: () = shorthand for compression = name for load or axial force vector (T) = shorthand for tension Joint onfigurations (special
More informationThe 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 informationSTATICS. Bodies VECTOR MECHANICS FOR ENGINEERS: Ninth Edition CHAPTER. Ferdinand P. Beer E. Russell Johnston, Jr.
N E 4 Equilibrium CHAPTER VECTOR MECHANICS FOR ENGINEERS: STATICS Ferdinand P. Beer E. Russell Johnston, Jr. Lecture Notes: J. Walt Oler Texas Tech University of Rigid Bodies 2010 The McGraw-Hill Companies,
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 informationChapter 04 Equilibrium of Rigid Bodies
Chapter 04 Equilibrium of Rigid Bodies Application Engineers designing this crane will need to determine the forces that act on this body under various conditions. 4-2 Introduction For a rigid body, the
More informationSimilar 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 informationENT 151 STATICS. Contents. Introduction. Definition of a Truss
CHAPTER 6 Analysis ENT 151 STATICS Lecture Notes: Mohd Shukry Abdul Majid KUKUM of Structures Contents Introduction Definition of a Truss Simple Trusses Analysis of Trusses by the Method of Joints Joints
More informationEquilibrium 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 informationMECHANICS OF STRUCTURES SCI 1105 COURSE MATERIAL UNIT - I
MECHANICS OF STRUCTURES SCI 1105 COURSE MATERIAL UNIT - I Engineering Mechanics Branch of science which deals with the behavior of a body with the state of rest or motion, subjected to the action of forces.
More informationChapter 4: Newton's Laws of Motion
Chapter 4 Lecture Chapter 4: Newton's Laws of Motion Goals for Chapter 4 To understand force either directly or as the net force of multiple components. To study and apply Newton's first law. To study
More informationEngineering Mechanics: Statics in SI Units, 12e
Engineering Mechanics: Statics in SI Units, 12e 3 Equilibrium of a Particle 1 Chapter Objectives Concept of the free-body diagram for a particle Solve particle equilibrium problems using the equations
More informationThe analysis of trusses Mehrdad Negahban (1999)
The analysis of trusses Mehrdad Negahban (1999) A truss: A truss is a structure made of two force members all pin connected to each other. The method of joints: This method uses the free-body-diagram of
More informationT R U S S. Priodeep Chowdhury;Lecturer;Dept. of CEE;Uttara University//TRUSS Page 1
T R U S S A truss is a structure that consists of All straight members connected together with pin joints connected only at the ends of the members and All external forces (loads & reactions) must be applied
More informationName ME 270 Summer 2006 Examination No. 1 PROBLEM NO. 3 Given: Below is a Warren Bridge Truss. The total vertical height of the bridge is 10 feet and each triangle has a base of length, L = 8ft. Find:
More informationREADING 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 informationLecture 0. Statics. Module 1. Overview of Mechanics Analysis. IDeALab. Prof. Y.Y.KIM. Solid Mechanics
Lecture 0. Statics Module 1. Overview of Mechanics Analysis Overview of Mechanics Analysis Procedure of Solving Mechanics Problems Objective : Estimate the force required in the flexor muscle Crandall,
More informationCalculating Truss Forces. Method of Joints
Calculating Truss Forces Method of Joints Forces Compression body being squeezed Tension body being stretched Truss truss is composed of slender members joined together at their end points. They are usually
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 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 informationStatic equilibrium. Biomechanics 2 Static Equilibrium. Free-Body diagram Internal forces of structures. Last week: Forces and Moments
Static equilibrium Biomechanics 2 Static Equilibrium Free-Body diagram Internal forces of structures Last week: Forces and Moments Force F: tends to change state of rest or motion Moment M: force acting
More informationNAME: Section: RIN: Tuesday, May 19, :00 11:00. Problem Points Score Total 100
RENSSELAER POLYTECHNIC INSTITUTE TROY, NY FINAL EXAM INTRODUCTION TO ENGINEERING ANALYSIS (ENGR-1100) NAME: Section: RIN: Tuesday, May 19, 2015 8:00 11:00 Problem Points Score 1 20 2 20 3 20 4 20 5 20
More informationME 201 Engineering Mechanics: Statics
ME 201 Engineering Mechanics: Statics Unit 7.1 Simple Trusses Method of Joints Zero Force Members Simple Truss structure composed of slender members joined together at their end points Planar Truss Simple
More informationP.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 informationMATHEMATICS 132 Applied Mathematics 1A (Engineering) SUPPLEMENTARY EXAMINATION
MATHEMATICS 132 Applied Mathematics 1A (Engineering) SUPPLEMENTARY EXAMINATION DURATION: 3 HOURS 17TH JUNE 2011 MAXIMUM MARKS: 100 LECTURERS: PROF J. VAN DEN BERG AND DR J. M. T. NGNOTCHOUYE EXTERNAL EXAMINER:
More informationLecture 14 February 16, 2018
Statics - TAM 210 & TAM 211 Lecture 14 February 16, 2018 SoonTrending.com Announcements Structured office hours of working through practice problems will be held during Sunday office hours, starting Sunday
More informationEquilibrium. Rigid Bodies VECTOR MECHANICS FOR ENGINEERS: STATICS. Eighth Edition CHAPTER. Ferdinand P. Beer E. Russell Johnston, Jr.
Eighth E 4 Equilibrium CHAPTER VECTOR MECHANICS FOR ENGINEERS: STATICS Ferdinand P. Beer E. Russell Johnston, Jr. Lecture Notes: J. Walt Oler Texas Tech University of Rigid Bodies Contents Introduction
More informationIf the number of unknown reaction components are equal to the number of equations, the structure is known as statically determinate.
1 of 6 EQUILIBRIUM OF A RIGID BODY AND ANALYSIS OF ETRUCTURAS II 9.1 reactions in supports and joints of a two-dimensional structure and statically indeterminate reactions: Statically indeterminate structures
More 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 informationENG1001 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 informationSTATICS. 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 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 informationMATHEMATICS 132 Applied Mathematics 1A (Engineering) EXAMINATION
MATHEMATICS 132 Applied Mathematics 1A (Engineering) EXAMINATION DURATION: 3 HOURS 26TH MAY 2011 MAXIMUM MARKS: 100 LECTURERS: PROF J. VAN DEN BERG AND DR J. M. T. NGNOTCHOUYE EXTERNAL EXAMINER: DR K.
More informationIntroduction. 1.1 Introduction. 1.2 Trigonometrical definitions
Introduction 1.1 Introduction Stress analysis is an important part of engineering science, as failure of most engineering components is usually due to stress. The component under a stress investigation
More informationSTATICS. Bodies. Vector Mechanics for Engineers: Statics VECTOR MECHANICS FOR ENGINEERS: Design of a support
4 Equilibrium CHAPTER VECTOR MECHANICS FOR ENGINEERS: STATICS Ferdinand P. Beer E. Russell Johnston, Jr. Lecture Notes: J. Walt Oler Texas Tech University of Rigid Bodies 2010 The McGraw-Hill Companies,
More informationVector Mechanics: Statics
PDHOnline Course G492 (4 PDH) Vector Mechanics: Statics Mark A. Strain, P.E. 2014 PDH Online PDH Center 5272 Meadow Estates Drive Fairfax, VA 22030-6658 Phone & Fax: 703-988-0088 www.pdhonline.org www.pdhcenter.com
More informationSTATICS. Vector Mechanics for Engineers: Statics VECTOR MECHANICS FOR ENGINEERS: Contents 9/3/2015
6 Analsis CHAPTER VECTOR MECHANICS OR ENGINEERS: STATICS erdinand P. Beer E. Russell Johnston, Jr. of Structures Lecture Notes: J. Walt Oler Texas Tech Universit Contents Introduction Definition of a Truss
More informationtwo structural analysis (statics & mechanics) APPLIED ACHITECTURAL STRUCTURES: DR. ANNE NICHOLS SPRING 2017 lecture STRUCTURAL ANALYSIS AND SYSTEMS
APPLIED ACHITECTURAL STRUCTURES: STRUCTURAL ANALYSIS AND SYSTEMS DR. ANNE NICHOLS SPRING 2017 lecture two structural analysis (statics & mechanics) Analysis 1 Structural Requirements strength serviceability
More information3.032 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 informationSupport Idealizations
IVL 3121 nalysis of Statically Determinant Structures 1/12 nalysis of Statically Determinate Structures nalysis of Statically Determinate Structures The most common type of structure an engineer will analyze
More informationPROBLEM 6.1 SOLUTION. Free body: Entire truss: (3.2 m) (48 kn)(7.2 m) = 0 = = = BC. 60 kn. Free body: Joint B: = kn T. = 144.
PROBLEM 6.1 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. Free bod: Entire truss: Σ F = 0: B = 0 B = 0 Σ M =
More informationSTATICS--AN INVESTIGATION OF FORCES
STTIS--N INVESTIGTION O ORES Two areas of study to investigate forces. Statics where the forces acting on a material are balanced so that the material is either stationary or in uniform motion. or fluid
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 informationTruss Analysis Method of Joints. Steven Vukazich San Jose State University
Truss nalysis Method of Joints Steven Vukazich San Jose State University General Procedure for the nalysis of Simple Trusses using the Method of Joints 1. raw a Free Body iagram (FB) of the entire truss
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 informationARCH 614 Note Set 2 S2011abn. Forces and Vectors
orces and Vectors Notation: = name for force vectors, as is A, B, C, T and P = force component in the direction = force component in the direction h = cable sag height L = span length = name for resultant
More information141EE0402-Engineering Mechanics. UNIT- I : Basics and Statics of Particles
141EE0402-Engineering Mechanics UNIT- I : Basics and Statics of Particles Force Force is an agent which produces or tends to produce, destroys or tends to destroy the motion of body or particles. Vector
More informationNEWTON S LAWS OF MOTION (EQUATION OF MOTION) (Sections )
NEWTON S LAWS OF MOTION (EQUATION OF MOTION) (Sections 13.1-13.3) Today s Objectives: Students will be able to: a) Write the equation of motion for an accelerating body. b) Draw the free-body and kinetic
More informationStatics deal with the condition of equilibrium of bodies acted upon by forces.
Mechanics It is defined as that branch of science, which describes and predicts the conditions of rest or motion of bodies under the action of forces. Engineering mechanics applies the principle of mechanics
More informationUnit M1.4 (All About) Trusses
Unit M1.4 (ll bout) Trusses Readings: DL 1.9 16.001/002 -- Unified Engineering Department of eronautics and stronautics Massachusetts Institute of Technology LERNING OBJETIVES FOR UNIT M1.4 Through participation
More informationThis lesson is an important one since it will deal with forces acting in conjunction with one another, against one another, and the resultant of a
1 This lesson is an important one since it will deal with forces acting in conjunction with one another, against one another, and the resultant of a number of forces acting through a common point (known
More informationMETC 111. Lab Notebook Spring 2014 Jeffery B. Noggle JEFF NOGGLE 1
METC 111 Lab Notebook Spring 2014 Jeffery B. Noggle JEFF NOGGLE 1 LAB 1: Hooke s Law Theory Hooke s Law describes the relationship between the amount of force and the amount of stretch for an ideal spring.
More information