Fundamentals of Structural Mechanics, Dynamics, and Stability

627 Pages·2020·26.971 MB·English

by  A.I. Rusakov

Fundamentals of Structural
Mechanics, Dynamics, and
Stability
Fundamentals of Structural
Mechanics, Dynamics, and
Stability
A.I. Rusakov
First edition published [2021]
by CRC Press
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Library of Congress Cataloging-in-Publication Data
Names: Rusakov, A. I. (Alexander Ivanovich), 1955- author.
Title: Fundamentals of structural mechanics, dynamics, and stability / A.I.
Rusakov.
Description: First edition. | Boca Raton : CRC Press, 2021. | Includes index.
Identifiers: LCCN 2020026403 (print) | LCCN 2020026404 (ebook) | ISBN
9781498770422 (hardback) | ISBN 9780429155291 (ebook)
Subjects: LCSH: Structural analysis (Engineering)—Textbooks. | Structural
dynamics—Textbooks. | Structural stability—Textbooks.
Classification: LCC TA645 .R87 2021 (print) | LCC TA645 (ebook) | DDC
624.1/7—dc23
LC record available at https://lccn.loc.gov/2020026403
LC ebook record available at https://lccn.loc.gov/2020026404
ISBN: 978-1-4987-7042-2 (hbk)
ISBN: 978-0-429-15529-1 (ebk)
Typeset in Times
by Deanta Global Publishing Services, Chennai, India
Contents
About the Author
Introduction
SECTION I Basic Concepts
Chapter 1 Kinematic Analysis Basics in Structural
Mechanics
1.1 Basic Terms: Geometrical Stability and
Instability of Systems; Discs, Constraints,
Degrees of Freedom
1.2 Number of Constraints as Criterion of
System Stability and Determinacy
Supplement to Chapter
Kinematic Analysis of Plane Systems by
Examples
SECTION II Influence Lines
Chapter 2 Movable Loads on a Beam
2.1 Classification of Bar Systems
2.2 Influence Lines and Particular Case of
Beams; Properties of Influence Lines
2.3 Analysis of the Stress-Strain State of Girders
by Using a Beam with Indirect Load
Application
Supplement to Chapter
Reduction of Loads from Vehicle on Bridge
to Plane System of Forces
Chapter 3 Theoretical Basics of Calculations via
Influence Lines
3.1 Determination of Design Position of Live
Load Series for Given Influence Line
3.2 Bridge Design Live Loads Specified by
Design Regulations
3.2.1 Highway Bridges
3.2.2 Railroad Bridges
SECTION III Three-Hinged Arches
Chapter 4 Arches: General Info and Diagrams of
Internal Forces
4.1 Concept of Arches and Calculation of
Support Reactions for Three-Hinged Arches
4.2 Analytical Calculation of Internal Forces and
the Rational Axis of A THREE-HINGED
ARCH
Chapter 5 Three-Hinged Arches under Live Static
Load
5.1 Analytical Technique of Influence Line
Construction and Nil Point Method
5.2 Kern Moments and Normal Stresses
SECTION IV Hinged Beams
Chapter 6 Hinged Beams
6.1 Concept of a Hinged Beam and Its Kinematic
Analysis; Interaction Scheme
6.2 Static Method of Influence Line Construction
6.3 Kinematic Method of Influence Line
Construction
SECTION V Statically Determinate
Trusses
Chapter 7 Preliminaries on Trusses
Introduction from Linear Algebra
7.1 Classification of Trusses
7.2 Stability and Determinacy of Trusses
7.3 Conversion of a Load Exerted upon a
Member of a Statically Determinate Truss
to Its Joints
Chapter 8 Internal Forces in Statically Determinate
Trusses
8.1 Method of Moment Point
8.2 Method of Projections and Method of Joints;
Zero-Force Members
8.3 Method of Substitute Members
8.4 Method of Load Conversion for Analysis of
Trusses with Secondary Truss Members
Chapter 9 Influence Lines for Internal Forces and
Support Reactions in Trusses
9.1 Construction of Influence Lines for Internal
Forces in Truss Girders Using the Static
Method
9.2 Method of Substitute Members for
Construction of Influence Lines and
Utilization of the Kinematic Method
Chapter 10 Space Statically Determinate Trusses
10.1 Space Connections and Geometrical
Stability
10.2 Equations of Statics in Space
10.3 Methods of Determination of Internal
Forces in Space Trusses
Supplement to Chapter
Representation of a Complete Set of Statics
Equations for a Rigid Body in the Form
of Equations of Axial Moment
Equilibrium
SECTION VI Energy Methods in
Deflection Analysis
Chapter 11 Foundations of Energy Approach in
Displacement Analysis of Elastic Systems
11.1 Properties of Elastic Systems; Strain Energy
of Bar Systems
11.2 Generalized Force and Displacement;
Theorems of Reciprocal Works and
Reciprocal Displacements
11.3 Reciprocal Work Calculation and Mohr
Integral
Supplements to Chapter
Strain Energy of Elastic Systems
Castigliano’s Second Theorem
Chapter 12 Reactions of Constraints in Elastic
Systems
12.1 Representation of Internal Forces by
Reactions of Constraints and Displacement
in the Direction of the Removed Constraint
12.2 Rayleigh First Theorem and Calculation of
Reactions Due to Displacements in
Constraints