Statics: A Lecturebook
Edition: 2
Copyright: 2021
Pages: 512
Edition: 1
Copyright: 2021
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"Statics: A Lecturebook is a hybrid textbook/lecture notes set is designed to provide you with an undergraduate-level, engineering-focused introduction to the topic of engineering statics. To this end, the text covers the following key topical areas:
• Vector fundamentals: including basic definitions of vector operations; the writing of vectors in terms of unit vectors and magnitudes; and, extending the basic vector operation definitions to practical implementation with Cartesian components.
• Equilibrium: including drawing free body diagrams; mathematical descriptions of reaction supports; solving problems of equilibrium of particles and rigid bodies, in both two and three dimensions.
• Equivalent force/couple systems: including writing general force systems in terms of their equivalent force/couple systems, and in terms of single-force equivalents; single-force equivalents of weight forces (centers of mass and centroids); single-force equivalents of distributed line loads; and, single-force equivalents of hydrostatic forces.
• Friction: including a review of Coulomb's laws of friction; solving equilibrium problems in statics; problems involving slipping vs. tipping; friction in cable/pulley systems; and, friction in systems with wedges.
• Internal force analysis: including the equilibrium solutions of problems involving truss and frame structures, and machines.
• Internal force/couple resultants: including studies of internal resultants in general systems; and, specifically, the internal shear force and bending moment resultants in beams.
• Stress analysis: including stress analysis of axially-loaded structural members, shaft systems with axial torque loads and exude stresses in transversely-loaded beams.
Stylistically speaking, the text provides you with pertinent background information, while emphasizing fundamental engineering principles, conceptual understanding, and optimal problem solving techniques. The Lecturebook also incorporates an extensive array of practical examples with which you can hone your skills. Rest assured that the material included herein will be key to your future success as a practicing engineer.
Structurally speaking, the text is founded upon the aforementioned hybrid textbook/lecture note format wherein most of factual information is provided in full, while brief in presentation, and extended examples are provided with ample white space, allowing you to actively work the problem with the instructor's assistance inside of a lecture environment, or outside of the lecture environment on your own or with the assistance of online videos.
Statics: A Lecturebook is backed by a wide array of multimedia content, designed specially for self-paced factual delivery, and ultimately self-learning. The cornerstone of this multimedia content is the set of hundreds of instructor-produced videos, which highlight, in a step-by-step fashion, the problem-solving approaches required for all of the Lecturebook's examples, and the related homework problem sets. Continually updated to leverage the most advanced educational recording methodologies, this content has been proven to be both a favorite with our own students and a very effective asymmetric learning tool. Be sure to leverage these resources as you advance through the course."
Chapter 1: Introduction
A. What is a vector?
B. Vector notation used in this lecture book
C. Newton’s laws
D. Moments of forces
E. Dimensions and Units
F. Significant digits and accuracy
Chapter 2: Basic vector definitions and operations
A. Definitions of vector operations
B. Unit vectors and Cartesian vector components
C. Vector operations using unit vectors and vector components
D. Topic summary
E. Conceptual questions
Chapter 3: Equilibrium of particles
A. What is a particle?
B. Basic equations for equilibrium analysis
C. Drawing free body diagrams
D. Analysis strategy
E. Topic summary
F. Conceptual questions
Chapter 4: Equilibrium of rigid bodies
A. What is a rigid body?
B. Moment about a point using the cross product
C. Basic equations for equilibrium
D. Drawing free body diagrams
E. Analysis strategy
F. Topic summary
G. Conceptual questions
Chapter 5: Equivalent force systems and distributed loadings
A. Equivalent force-couple systems
B. Single-force equivalent systems
C. Centers of mass and centroids
D. Surface line loads
E. Statics of liquids: hydrostatic loads
F. Topic summary
G. Conceptual questions
Chapter 6: Friction
A. Coulomb’s laws of friction
B. Systems with friction
C. Slipping vs. tipping
D. Belt friction
E. Wedges
F. Topic summary
G. Conceptual questions
Chapter 7: Internal force analysis: trusses
A. Two-force members
B. Drawing free body diagrams
C. Method of joints
D. Zero-force members
E. Methods of sections
F. Analysis strategy
G. Indeterminate structures
H. Topic summary
I. Conceptual questions
Chapter 8: Internal force analysis: frames and machines
A. Equilibrium analysis for frames
B. Equilibrium analysis for machines
C. Strategy for equilibrium analysis of frames and machines
D. Conceptual questions
Chapter 9: Analysis of internal resultants
A. General analysis
B. Shear force and bending moment resultants
C. Statically-indeterminate structures
D. Topic Summary
E. Conceptual questions
Chapter 10: Normal stresses due to axial loads
A. Normal stresses due to axial loads
B. Normal strains due to axial loads
C. Normal stress/strain relations
D. Normal stress analysis for determinate structures
E. Failure analysis in axially-loaded members—factor of safety
F. Conceptual questions
Chapter 11: Shear stresses: direct shear and torque-carrying shafts
A. Shear stress
B. Shear strain
C. Shear stress/strain relations
D. Direct shear
E. Shear stress analysis in determinate circular cross-sectioned shafts
F. Conceptual questions
Chapter 12: Stresses due to bending loads
A. Flexural stresses in beams with pure bending: the Euler-Bernoulli hypothesis
B. Calculation of the second area moments
C. Shear stresses in beams
D. Conceptual questions
Charles M. Krousgrill: Charles M. Krousgrill is a Professor in the School of Mechanical Engineer-ing at Purdue University. He received his M.S. in mechanical engineering from Purdue University in 1975, and his M.S. and Ph.D. in applied mechanics from the California Institute of Technology in 1976 and 1980, respectively. During his more than 30 years at Purdue University, few, if any, individuals have had a greater impact on the university’s undergraduate students and the institu-tion’s commitment to engineering education. Dr. Krousgrill’s efforts in this regard have garnered numerous awards and international accolades. To date, these include the Purdue University School of Mechanical Engineering’s Harry L. Solberg Best Teacher Award (eight times), the Purdue Uni-versity College of Engineering’s Potter Best Teacher Award (four times), the Purdue University Murphy Best Teacher Award, the 2010 Purdue University Helping Students Learn Award, the 2010 Purdue Alumni Association Special Boilermaker Award and the American Society of Engineering Education’s 2011 Archie Higdon Distinguished Educator Award – the de facto lifetime achieve-ment award for educational accomplishments in the field of mechanics. In January 2018, it was announced that Dr. Krousgrill had been awarded the named 150th Anniversary Professorship by Purdue University. Outside of the classroom, Dr. Krousgrill conducts research in the general areas of dynamics and mechanical vibration.
Jeffrey F. Rhoads: Jeffrey F. Rhoads is a Professor in the School of Mechanical Engineering at Purdue University and is affiliated with both the Birck Nanotechnology Center and Ray W. Herrick Laboratories at the same institution. He also serves as the Director of Practice for MEERCat Purdue: The Mechanical Engineering Education Research Center at Purdue University and the Associate Director of PERC: The Purdue Energetics Research Center. Dr. Rhoads received his B.S., M.S., and Ph.D. degrees, each in mechanical engineering, from Michigan State University in 2002, 2004, and 2007, respectively. Dr. Rhoads’ current research interests include the predictive design, analysis, and implementation of resonant micro/nanoelectromechanical systems (MEMS/NEMS) for use in chemical and biological sensing, electromechanical signal processing, and computing; the dynamics of parametrically-excited systems and coupled oscillators; the thermomechanics of energetic materials (including explosives, pyrotechnics, and propellants); additive manufacturing; and mechanics education. Dr. Rhoads is a Member of the American Society for Engineering Education (ASEE) and a Fellow of the American Society of Mechanical Engineers (ASME), where he serves on the Design Engineering Division’s Technical Committee on Vibration and Sound. Dr. Rhoads is a recipient of numerous research and teaching awards, including the National Science Foundation’s Faculty Early Career Development (CAREER) Award; the Purdue University School of Mechanical Engineering’s Harry L. Solberg Best Teacher Award (twice), the Robert W. Fox Outstanding Instructor Award, the and B.F.S. Schaefer Outstanding Young Faculty Scholar Award; the ASEE Mechanics Division’s Ferdinand P. Beer and E. Russell Johnston, Jr. Outstanding New Mechanics Educator Award; and the ASME C. D. Mote Jr., Early Career Award. In 2014, Dr. Rhoads was included in ASEE Prism Magazine’s 20 Under 40.
"Statics: A Lecturebook is a hybrid textbook/lecture notes set is designed to provide you with an undergraduate-level, engineering-focused introduction to the topic of engineering statics. To this end, the text covers the following key topical areas:
• Vector fundamentals: including basic definitions of vector operations; the writing of vectors in terms of unit vectors and magnitudes; and, extending the basic vector operation definitions to practical implementation with Cartesian components.
• Equilibrium: including drawing free body diagrams; mathematical descriptions of reaction supports; solving problems of equilibrium of particles and rigid bodies, in both two and three dimensions.
• Equivalent force/couple systems: including writing general force systems in terms of their equivalent force/couple systems, and in terms of single-force equivalents; single-force equivalents of weight forces (centers of mass and centroids); single-force equivalents of distributed line loads; and, single-force equivalents of hydrostatic forces.
• Friction: including a review of Coulomb's laws of friction; solving equilibrium problems in statics; problems involving slipping vs. tipping; friction in cable/pulley systems; and, friction in systems with wedges.
• Internal force analysis: including the equilibrium solutions of problems involving truss and frame structures, and machines.
• Internal force/couple resultants: including studies of internal resultants in general systems; and, specifically, the internal shear force and bending moment resultants in beams.
• Stress analysis: including stress analysis of axially-loaded structural members, shaft systems with axial torque loads and exude stresses in transversely-loaded beams.
Stylistically speaking, the text provides you with pertinent background information, while emphasizing fundamental engineering principles, conceptual understanding, and optimal problem solving techniques. The Lecturebook also incorporates an extensive array of practical examples with which you can hone your skills. Rest assured that the material included herein will be key to your future success as a practicing engineer.
Structurally speaking, the text is founded upon the aforementioned hybrid textbook/lecture note format wherein most of factual information is provided in full, while brief in presentation, and extended examples are provided with ample white space, allowing you to actively work the problem with the instructor's assistance inside of a lecture environment, or outside of the lecture environment on your own or with the assistance of online videos.
Statics: A Lecturebook is backed by a wide array of multimedia content, designed specially for self-paced factual delivery, and ultimately self-learning. The cornerstone of this multimedia content is the set of hundreds of instructor-produced videos, which highlight, in a step-by-step fashion, the problem-solving approaches required for all of the Lecturebook's examples, and the related homework problem sets. Continually updated to leverage the most advanced educational recording methodologies, this content has been proven to be both a favorite with our own students and a very effective asymmetric learning tool. Be sure to leverage these resources as you advance through the course."
Chapter 1: Introduction
A. What is a vector?
B. Vector notation used in this lecture book
C. Newton’s laws
D. Moments of forces
E. Dimensions and Units
F. Significant digits and accuracy
Chapter 2: Basic vector definitions and operations
A. Definitions of vector operations
B. Unit vectors and Cartesian vector components
C. Vector operations using unit vectors and vector components
D. Topic summary
E. Conceptual questions
Chapter 3: Equilibrium of particles
A. What is a particle?
B. Basic equations for equilibrium analysis
C. Drawing free body diagrams
D. Analysis strategy
E. Topic summary
F. Conceptual questions
Chapter 4: Equilibrium of rigid bodies
A. What is a rigid body?
B. Moment about a point using the cross product
C. Basic equations for equilibrium
D. Drawing free body diagrams
E. Analysis strategy
F. Topic summary
G. Conceptual questions
Chapter 5: Equivalent force systems and distributed loadings
A. Equivalent force-couple systems
B. Single-force equivalent systems
C. Centers of mass and centroids
D. Surface line loads
E. Statics of liquids: hydrostatic loads
F. Topic summary
G. Conceptual questions
Chapter 6: Friction
A. Coulomb’s laws of friction
B. Systems with friction
C. Slipping vs. tipping
D. Belt friction
E. Wedges
F. Topic summary
G. Conceptual questions
Chapter 7: Internal force analysis: trusses
A. Two-force members
B. Drawing free body diagrams
C. Method of joints
D. Zero-force members
E. Methods of sections
F. Analysis strategy
G. Indeterminate structures
H. Topic summary
I. Conceptual questions
Chapter 8: Internal force analysis: frames and machines
A. Equilibrium analysis for frames
B. Equilibrium analysis for machines
C. Strategy for equilibrium analysis of frames and machines
D. Conceptual questions
Chapter 9: Analysis of internal resultants
A. General analysis
B. Shear force and bending moment resultants
C. Statically-indeterminate structures
D. Topic Summary
E. Conceptual questions
Chapter 10: Normal stresses due to axial loads
A. Normal stresses due to axial loads
B. Normal strains due to axial loads
C. Normal stress/strain relations
D. Normal stress analysis for determinate structures
E. Failure analysis in axially-loaded members—factor of safety
F. Conceptual questions
Chapter 11: Shear stresses: direct shear and torque-carrying shafts
A. Shear stress
B. Shear strain
C. Shear stress/strain relations
D. Direct shear
E. Shear stress analysis in determinate circular cross-sectioned shafts
F. Conceptual questions
Chapter 12: Stresses due to bending loads
A. Flexural stresses in beams with pure bending: the Euler-Bernoulli hypothesis
B. Calculation of the second area moments
C. Shear stresses in beams
D. Conceptual questions
Charles M. Krousgrill: Charles M. Krousgrill is a Professor in the School of Mechanical Engineer-ing at Purdue University. He received his M.S. in mechanical engineering from Purdue University in 1975, and his M.S. and Ph.D. in applied mechanics from the California Institute of Technology in 1976 and 1980, respectively. During his more than 30 years at Purdue University, few, if any, individuals have had a greater impact on the university’s undergraduate students and the institu-tion’s commitment to engineering education. Dr. Krousgrill’s efforts in this regard have garnered numerous awards and international accolades. To date, these include the Purdue University School of Mechanical Engineering’s Harry L. Solberg Best Teacher Award (eight times), the Purdue Uni-versity College of Engineering’s Potter Best Teacher Award (four times), the Purdue University Murphy Best Teacher Award, the 2010 Purdue University Helping Students Learn Award, the 2010 Purdue Alumni Association Special Boilermaker Award and the American Society of Engineering Education’s 2011 Archie Higdon Distinguished Educator Award – the de facto lifetime achieve-ment award for educational accomplishments in the field of mechanics. In January 2018, it was announced that Dr. Krousgrill had been awarded the named 150th Anniversary Professorship by Purdue University. Outside of the classroom, Dr. Krousgrill conducts research in the general areas of dynamics and mechanical vibration.
Jeffrey F. Rhoads: Jeffrey F. Rhoads is a Professor in the School of Mechanical Engineering at Purdue University and is affiliated with both the Birck Nanotechnology Center and Ray W. Herrick Laboratories at the same institution. He also serves as the Director of Practice for MEERCat Purdue: The Mechanical Engineering Education Research Center at Purdue University and the Associate Director of PERC: The Purdue Energetics Research Center. Dr. Rhoads received his B.S., M.S., and Ph.D. degrees, each in mechanical engineering, from Michigan State University in 2002, 2004, and 2007, respectively. Dr. Rhoads’ current research interests include the predictive design, analysis, and implementation of resonant micro/nanoelectromechanical systems (MEMS/NEMS) for use in chemical and biological sensing, electromechanical signal processing, and computing; the dynamics of parametrically-excited systems and coupled oscillators; the thermomechanics of energetic materials (including explosives, pyrotechnics, and propellants); additive manufacturing; and mechanics education. Dr. Rhoads is a Member of the American Society for Engineering Education (ASEE) and a Fellow of the American Society of Mechanical Engineers (ASME), where he serves on the Design Engineering Division’s Technical Committee on Vibration and Sound. Dr. Rhoads is a recipient of numerous research and teaching awards, including the National Science Foundation’s Faculty Early Career Development (CAREER) Award; the Purdue University School of Mechanical Engineering’s Harry L. Solberg Best Teacher Award (twice), the Robert W. Fox Outstanding Instructor Award, the and B.F.S. Schaefer Outstanding Young Faculty Scholar Award; the ASEE Mechanics Division’s Ferdinand P. Beer and E. Russell Johnston, Jr. Outstanding New Mechanics Educator Award; and the ASME C. D. Mote Jr., Early Career Award. In 2014, Dr. Rhoads was included in ASEE Prism Magazine’s 20 Under 40.