Study on different moduli T-section beams: Pure bending elastic solution and PMMA experiment

In order to accurately analyze the bending problem of T-section beams, a novel analytical method is proposed based on the simplified mechanical model of T-section beams with different tension and compression moduli. Firstly, the expressions of the neutral layer position, normal stress, bending stiff...

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Main Authors: Aijun Li, Zijiang Yang, Shizhong Liu, Yanhai Liu
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Polymer Testing
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0142941821003421
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author Aijun Li
Zijiang Yang
Shizhong Liu
Yanhai Liu
author_facet Aijun Li
Zijiang Yang
Shizhong Liu
Yanhai Liu
author_sort Aijun Li
collection DOAJ
description In order to accurately analyze the bending problem of T-section beams, a novel analytical method is proposed based on the simplified mechanical model of T-section beams with different tension and compression moduli. Firstly, the expressions of the neutral layer position, normal stress, bending stiffness and displacement of the four-point bending test beam of two types of T-section beams are derived based on the classical beam theory. Then, the expressions of the rectangular section beam are obtained by degenerating the expressions of T-section. Finally, the proposed method is verified via the finite element simulation and the four-point bending test beam of two types of T-section beams with Polymethyl methacrylate (PMMA). From the comparative analysis, the theoretical solutions of the proposed analytical method agree well with the results of the experimental data and the finite element. The flexural modulus can be obtained accurately by the proposed method with the compression and tensile moduli of the beam, which can be used as an efficient and theoretical approach to determine the flexural modulus of the T beam instead of conducting bending experiments.
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spelling doaj.art-413cd97799f74cecb0bad6fb3dc72c8d2022-12-21T23:09:30ZengElsevierPolymer Testing0142-94182021-12-01104107397Study on different moduli T-section beams: Pure bending elastic solution and PMMA experimentAijun Li0Zijiang Yang1Shizhong Liu2Yanhai Liu3Corresponding author.; School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, ChinaSchool of Civil Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, ChinaSchool of Civil Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, ChinaSchool of Civil Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, ChinaIn order to accurately analyze the bending problem of T-section beams, a novel analytical method is proposed based on the simplified mechanical model of T-section beams with different tension and compression moduli. Firstly, the expressions of the neutral layer position, normal stress, bending stiffness and displacement of the four-point bending test beam of two types of T-section beams are derived based on the classical beam theory. Then, the expressions of the rectangular section beam are obtained by degenerating the expressions of T-section. Finally, the proposed method is verified via the finite element simulation and the four-point bending test beam of two types of T-section beams with Polymethyl methacrylate (PMMA). From the comparative analysis, the theoretical solutions of the proposed analytical method agree well with the results of the experimental data and the finite element. The flexural modulus can be obtained accurately by the proposed method with the compression and tensile moduli of the beam, which can be used as an efficient and theoretical approach to determine the flexural modulus of the T beam instead of conducting bending experiments.http://www.sciencedirect.com/science/article/pii/S0142941821003421Different moduliAnalytical methodFlexural modulusPolymethyl methacrylateFlexural behavior
spellingShingle Aijun Li
Zijiang Yang
Shizhong Liu
Yanhai Liu
Study on different moduli T-section beams: Pure bending elastic solution and PMMA experiment
Polymer Testing
Different moduli
Analytical method
Flexural modulus
Polymethyl methacrylate
Flexural behavior
title Study on different moduli T-section beams: Pure bending elastic solution and PMMA experiment
title_full Study on different moduli T-section beams: Pure bending elastic solution and PMMA experiment
title_fullStr Study on different moduli T-section beams: Pure bending elastic solution and PMMA experiment
title_full_unstemmed Study on different moduli T-section beams: Pure bending elastic solution and PMMA experiment
title_short Study on different moduli T-section beams: Pure bending elastic solution and PMMA experiment
title_sort study on different moduli t section beams pure bending elastic solution and pmma experiment
topic Different moduli
Analytical method
Flexural modulus
Polymethyl methacrylate
Flexural behavior
url http://www.sciencedirect.com/science/article/pii/S0142941821003421
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AT zijiangyang studyondifferentmodulitsectionbeamspurebendingelasticsolutionandpmmaexperiment
AT shizhongliu studyondifferentmodulitsectionbeamspurebendingelasticsolutionandpmmaexperiment
AT yanhailiu studyondifferentmodulitsectionbeamspurebendingelasticsolutionandpmmaexperiment