Author: L. G. Jaeger
Publisher: Elsevier
ISBN: 1483147002
Category : Technology & Engineering
Languages : en
Pages : 119
Book Description
Elementary Theory of Elastic Plates deals with plate theory, particularly on the elastic behavior of initially flat thin plates subjected to loads, producing deflexions. This book discusses rectangular plates and circular plates subjected to different types of load conditions. This text describes the bending moment and curvature of beams, and gives the formula of principal axes, where the location of a neutral axis that experiences zero stress and strain, can be found. This book also notes how calculations can show small or negligible deflexions. The text discusses Possion's ratio effect and the Mohr's circle relationship. This text analyzes the various loads acting on different parts of the rectangular plate using the Navier method; the Levy's method is taken up when considerations are on other forms of boundary support on the rectangular plate. This book then addresses the circular plate that experiences bending moments and curvatures when it is placed under radially symmetric loads. This text explains the equation that is applicable in a radially symmetric case. This book also addresses understanding approximations of energy in stability problems when there is bending and twisting as shown in a strut with a certain thickness, radial length of the arms, and length of the strut. Engineers, physicists, architects, and designers of industrial equipment subject to heavy loads will appreciate the information found in this book.
Elementary Theory of Elastic Plates
Author: L. G. Jaeger
Publisher: Elsevier
ISBN: 1483147002
Category : Technology & Engineering
Languages : en
Pages : 119
Book Description
Elementary Theory of Elastic Plates deals with plate theory, particularly on the elastic behavior of initially flat thin plates subjected to loads, producing deflexions. This book discusses rectangular plates and circular plates subjected to different types of load conditions. This text describes the bending moment and curvature of beams, and gives the formula of principal axes, where the location of a neutral axis that experiences zero stress and strain, can be found. This book also notes how calculations can show small or negligible deflexions. The text discusses Possion's ratio effect and the Mohr's circle relationship. This text analyzes the various loads acting on different parts of the rectangular plate using the Navier method; the Levy's method is taken up when considerations are on other forms of boundary support on the rectangular plate. This book then addresses the circular plate that experiences bending moments and curvatures when it is placed under radially symmetric loads. This text explains the equation that is applicable in a radially symmetric case. This book also addresses understanding approximations of energy in stability problems when there is bending and twisting as shown in a strut with a certain thickness, radial length of the arms, and length of the strut. Engineers, physicists, architects, and designers of industrial equipment subject to heavy loads will appreciate the information found in this book.
Publisher: Elsevier
ISBN: 1483147002
Category : Technology & Engineering
Languages : en
Pages : 119
Book Description
Elementary Theory of Elastic Plates deals with plate theory, particularly on the elastic behavior of initially flat thin plates subjected to loads, producing deflexions. This book discusses rectangular plates and circular plates subjected to different types of load conditions. This text describes the bending moment and curvature of beams, and gives the formula of principal axes, where the location of a neutral axis that experiences zero stress and strain, can be found. This book also notes how calculations can show small or negligible deflexions. The text discusses Possion's ratio effect and the Mohr's circle relationship. This text analyzes the various loads acting on different parts of the rectangular plate using the Navier method; the Levy's method is taken up when considerations are on other forms of boundary support on the rectangular plate. This book then addresses the circular plate that experiences bending moments and curvatures when it is placed under radially symmetric loads. This text explains the equation that is applicable in a radially symmetric case. This book also addresses understanding approximations of energy in stability problems when there is bending and twisting as shown in a strut with a certain thickness, radial length of the arms, and length of the strut. Engineers, physicists, architects, and designers of industrial equipment subject to heavy loads will appreciate the information found in this book.
Simplified Analytical Methods of Elastic Plates
Author: Hideo Takabatake
Publisher: Springer
ISBN: 9811300860
Category : Science
Languages : en
Pages : 344
Book Description
This book presents simplified analytical methodologies for static and dynamic problems concerning various elastic thin plates in the bending state and the potential effects of dead loads on static and dynamic behaviors. The plates considered vary in terms of the plane (e.g. rectangular or circular plane), stiffness of bending, transverse shear and mass. The representative examples include void slabs, plates stiffened with beams, stepped thickness plates, cellular plates and floating plates, in addition to normal plates. The closed-form approximate solutions are presented in connection with a groundbreaking methodology that can easily accommodate discontinuous variations in stiffness and mass with continuous function as for a distribution. The closed-form solutions can be used to determine the size of structural members in the preliminary design stages, and to predict potential problems with building slabs intended for human beings’ practical use.
Publisher: Springer
ISBN: 9811300860
Category : Science
Languages : en
Pages : 344
Book Description
This book presents simplified analytical methodologies for static and dynamic problems concerning various elastic thin plates in the bending state and the potential effects of dead loads on static and dynamic behaviors. The plates considered vary in terms of the plane (e.g. rectangular or circular plane), stiffness of bending, transverse shear and mass. The representative examples include void slabs, plates stiffened with beams, stepped thickness plates, cellular plates and floating plates, in addition to normal plates. The closed-form approximate solutions are presented in connection with a groundbreaking methodology that can easily accommodate discontinuous variations in stiffness and mass with continuous function as for a distribution. The closed-form solutions can be used to determine the size of structural members in the preliminary design stages, and to predict potential problems with building slabs intended for human beings’ practical use.
The Theory of Thin Elastic Plates with Small Deflection
Author: Koi-yuan Yeh (and others.)
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 0
Book Description
On the Dynamic Behavior of Thin Elastic Plates
Author: Michael John O'Sullivan
Publisher:
ISBN:
Category : Electronic dissertations
Languages : en
Pages : 242
Book Description
Publisher:
ISBN:
Category : Electronic dissertations
Languages : en
Pages : 242
Book Description
Thin Elastic Plates
Author: Fu-feng Chang
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 262
Book Description
Contents: the history of the development of the theory of elastic thin plates, theory of elastic thin plates, problems associated with the cylindrical bending of long rectangular plates, bending of simply supported rectangular plates, equilibrium, stability and vibration of rectangular plates with fixed edges, rectangular plates with two adjacent edges fixed and two adjacent edges simply supported, equilibrium, stability and vibration of continuous rectangular plates, problems associated with rectangular plates supported at the corner points.
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 262
Book Description
Contents: the history of the development of the theory of elastic thin plates, theory of elastic thin plates, problems associated with the cylindrical bending of long rectangular plates, bending of simply supported rectangular plates, equilibrium, stability and vibration of rectangular plates with fixed edges, rectangular plates with two adjacent edges fixed and two adjacent edges simply supported, equilibrium, stability and vibration of continuous rectangular plates, problems associated with rectangular plates supported at the corner points.
Thin Elastic Plates Subject to Vibration in Their Own Plane
Author: Don Akiba Halperin
Publisher:
ISBN:
Category : Elastic plates and shells (Engineering)
Languages : en
Pages : 156
Book Description
Publisher:
ISBN:
Category : Elastic plates and shells (Engineering)
Languages : en
Pages : 156
Book Description
Thin Elastic Plates with Rectangular Rigid Inner Supports Or Inclusions
Author: Bengt Åkesson
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
Book Description
A Nonlinear Theory for Thin Elastic Plates
Author: Jatin M. Anadkat
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 130
Book Description
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 130
Book Description
Poisson Theory of Elastic Plates
Author: Kaza Vijayakumar
Publisher: Springer Nature
ISBN: 9813342102
Category : Technology & Engineering
Languages : en
Pages : 149
Book Description
This groundbreaking book resolves the main lacuna in Kirchhoff theory of bending of plates in the Poisson-Kirchhoff boundary conditions paradox through the introduction of auxiliary problem governing transverse stresses. The book highlights new primary bending problem which is formulated and analyzed by the application of developed Poisson theory. Analysis with prescribed transverse stresses along faces of the plate, neglected in most reported theories, is presented with an additional term in displacements. The book presents a systematic procedure for the analysis of unsymmetrical laminates. This volume will be a useful reference for students, practicing engineers as well as researchers in applied mechanics.
Publisher: Springer Nature
ISBN: 9813342102
Category : Technology & Engineering
Languages : en
Pages : 149
Book Description
This groundbreaking book resolves the main lacuna in Kirchhoff theory of bending of plates in the Poisson-Kirchhoff boundary conditions paradox through the introduction of auxiliary problem governing transverse stresses. The book highlights new primary bending problem which is formulated and analyzed by the application of developed Poisson theory. Analysis with prescribed transverse stresses along faces of the plate, neglected in most reported theories, is presented with an additional term in displacements. The book presents a systematic procedure for the analysis of unsymmetrical laminates. This volume will be a useful reference for students, practicing engineers as well as researchers in applied mechanics.
Bending of Thin Elastic Plates of Variable Thickness
Author: Y. C. Fung
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description