APPLICATION OF A DIRECT VARIATIONAL PRINCIPLE IN ELASTIC STABILITY ANALYSIS OF THIN RECTANGULAR FLAT PLATES

  • Type: Project
  • Department: Structural Engineering
  • Project ID: STE0003
  • Access Fee: ₦5,000 ($14)
  • Pages: 202 Pages
  • Format: Microsoft Word
  • Views: 271
  • Report This work

For more Info, call us on
+234 8130 686 500
or
+234 8093 423 853

ABSTRACT

The purpose of this work is to use the energy approach in the form of direct variational principle (Rayleigh-Ritz method) for buckling analysis of thin rectangular plates with various boundary conditions using Taylor series shape functions. To do this, thin rectangular flat plate of various boundary conditions with three dimensions Ly, Lx and t was analyzed in this research. Ly and Lx are secondary and primary in-plane dimensions respectively and t is the plate thickness. The boundary conditions covered in this research included SSSS, SSSC, SSCC, SCCC, SCSC, CCCC, SSSF, CCCF and SCFS plates. Rayleigh-Ritz method of direct variational approach for the plate analysis was adopted. The total potential energy functional of the method was derived from first principle by using equations and principles of theory of elasticity. Taylor-MacLaurin’s series was used to formulate the approximate shape functions for the plate with various boundary conditions. The shape functions from Taylor- MacLaurin’s series were substituted into the total potential energy functional, which was subsequently minimized to get the stability equations. Derived Eigen-value solver was used to solve the stability equations for plates of various aspect ratios (from 0.1 to 1 at the increment of 0.1) to get the buckling loads of the plates. The buckling loads from this study were compared with those of earlier researches. The results showed that the average percentage differences recorded for SSSS, CCCC, CSCS, CSSS, and SSFS plates are 0.069%, 3.54%, 3.071%, 6.25% and 4.14% respectively. The convergence of the shape function showed that for CSCS plate, the difference between the buckling loads when the Taylor- MacLaurin’s series were truncated at m = n = 4 and m = n = 5 is 1.11%. This difference is 0.878% for CCSS plates. These differences showed that the shape functions formulated by using Taylor-McLauruin’s series has rapid convergence and very good approximation of the exact displacement functions of the deformed thin rectangular plate under in-plane loading. 

APPLICATION OF A DIRECT VARIATIONAL PRINCIPLE IN ELASTIC STABILITY ANALYSIS OF THIN RECTANGULAR FLAT PLATES
For more Info, call us on
+234 8130 686 500
or
+234 8093 423 853

Share This
  • Type: Project
  • Department: Structural Engineering
  • Project ID: STE0003
  • Access Fee: ₦5,000 ($14)
  • Pages: 202 Pages
  • Format: Microsoft Word
  • Views: 271
Payment Instruction
Bank payment for Nigerians, Make a payment of ₦ 5,000 to

Bank GTBANK
gtbank
Account Name Obiaks Business Venture
Account Number 0211074565

Bitcoin: Make a payment of 0.0005 to

Bitcoin(Btc)

btc wallet
Copy to clipboard Copy text

500
Leave a comment...

    Details

    Type Project
    Department Structural Engineering
    Project ID STE0003
    Fee ₦5,000 ($14)
    No of Pages 202 Pages
    Format Microsoft Word

    Related Works

    This experiment was conducted in order to have a broader knowledge on hydraulic jump and its applications. It was performed in the hydraulic laboratory of the department of Water Resources and Environmental Engineering, Ahmadu Bello University, Zaria, using the TQH23, 2.52m flow rectangular channel and the HID hydraulic bench which provides water... Continue Reading
    This experiment was conducted in order to have a broader knowledge on hydraulic jump and its  applications. It was performed in the hydraulic laboratory of the department of Water Resources  and Environmental Engineering, Ahmadu Bello University, Zaria, using the TQH23, 2.52m flow  rectangular channel and the HID hydraulic bench which provides... Continue Reading
    ABSTRACT John Rawls’ “A theory of justice” published in 1971, changed contemporary political theory. In the book, John Rawls presented a reformulation of the social contract theory of John Locke, Jean Jacque Rosseau and Immanuel Kant, providing a justification of the liberal... Continue Reading
    A COMPARATIVE ANALYSIS OF MACHIAVELLIAN  PRINCIPLE AND NIGERIAN SOCIETY                                                     TABLE OF CONTENT TITLE…………………………………………………….………………..i... Continue Reading
    TABLE OF CONTENTS DECLARATION ............................................................................................................................. i APPROVAL ................................................................................................................................... ii DEDICATION... Continue Reading
    TABLE OF CONTENTS Ill IV v vi vii 1.1 Background of the Study I 1.2 Statement of the Problem 9 1.3 Significance of the Study I 0 1.4 Objectives I 0 1.4.1 General Objectives I 0 1.4.2 Specific Objectives II 1.5 Res~arch Questions II 1.6 Scope of the Study II 1.6.1 Geographical scope II 1.6.2 Content scope I I 1.6.3 Time scope II CHAPTER TWO 2.1... Continue Reading
    TABLE OF CONTENTS DECLARATION .......................................... .................................................................................. i APPROVAL .................................................................................................................................. ii DEDICATION... Continue Reading
    FOREIGN DIRECT INVESTMENT AND POVERTY REDUCTION IN NIGERIA (REGRESSION ANALYSIS USING OLS) TABLE OF CONTENT Title page Approval page Dedication Acknowledgment Abstract Table of content CHAPTER ONE –INTRODUCTION 1.1    Background of the study 1.2    Statement of the problem 1.3    Objectives of the study 1.4    Research questions... Continue Reading
    ABSTRACT This report is on stability study in electrical power system. The ability of an electric power system to reestablish the initial state (or one practically identical) after any disturbance manifested as a deviation from the initial parameter values for the system’s operation. The electric power sources in a power system are usually... Continue Reading
    ABSTRACT The construction sector occupies a focal position in the economy of any nation because it is an important contributor to the process of development (Aje, 2008). In the conduct of economic activities, the construction sector is always used by government as the stimulus for the buoyancy of the economy (Akindoyemi, 2011). The construction... Continue Reading
    Call Us
    whatsappWhatsApp Us