Investigation of shear deformation theories for flexure of thick beams /
The goal of this work is to investigate the accuracy of several shear deformation theories on the static flexural deformation of the benchmark model by comparing with the analytical results and other methods. Currently, there are several theories on the flexural deformation of thick beam. Many of t...
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Main Author: | |
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Format: | Thesis |
Language: | English |
Published: |
Kuala Lumpur :
Kulliyyah of Engineering, International Islamic University Malaysia,
2018
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Subjects: | |
Online Access: | http://studentrepo.iium.edu.my/handle/123456789/4923 |
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Summary: | The goal of this work is to investigate the accuracy of several shear deformation theories on the static flexural deformation of the benchmark model by comparing with the analytical results and other methods. Currently, there are several theories on the flexural deformation of thick beam. Many of the theories are good in one situation but are not the best in other conditions. A thorough analysis to investigate the accuracy of the various shear deformation theories are carried out analytically and numerically by using MATLAB. Several assumptions related to load and displacement, constitutive law and its solution using spectral element approach have been made to investigate the high order shear deformation theory for flexure of thick beam under uniform load. Equations of displacement field, strain-displacement relationship, stress-strain relationship, and boundary conditions are taken into consideration to achieve the goal of the research. Several thick beam structure models are set as benchmark models and the analytical formulation in the form of stress, strain and deformations are presented. The code development is presented to show the unified treatment for each of the thick beam structure models. Based on the numerical results, error of each model has been analyzed to determine the accuracy of the various high order theories and the most accurate models are highlighted. |
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Physical Description: | xi, 92 leaves : colour illustrations ; 30cm. |
Bibliography: | Includes bibliographical references (leaves 71-76). |