Abstract

The paper presents the influence of sheet/purlin fasteners location (in reference to trapezoidal profile cross section) on shear flexibility of the cladding acting as a diaphragm. Analytical procedures were presented and their limitations were discussed. Next, selected schemes of fasteners location, known from engineering practice, but not included in European codes and recommendations, were analysed numerically in order to observe the differences in shear stiffness of the panel. The cantilevered diaphragm as a part of the roof of a single storey building was chosen for the analysis. The analysis was carried out for the valley-fixed trapezoidal sheeting with wide pans. Corrugated sheets were built by two types of models: full 3D shell model and equivalent orthotropic 2D shell model. Flexibility of fasteners and connections was included in the calculations using equivalent beam finite elements. The results were discussed from the stressed-skin design point of view.

Highlights

  • Trapezoidal cladding of the steel building as a part of the diaphragm affect the stiffness and spatial character of work of the structure and, by extension, deflections and crosssectional forces of particular structural members

  • The aim of the analysis presented in the paper is to evaluate the influence of the sheet/purlin fasteners spacing on shear flexibility of the roof cladding acting as a diaphragm

  • It is worth noting that the analytical procedures for the stiffness matrix of equivalent orthotropic plate for trapezoidal sheeting, both implemented in numerical programs and known from the literature, diverge considerably

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Summary

Introduction

Trapezoidal cladding of the steel building as a part of the diaphragm affect the stiffness and spatial character of work of the structure and, by extension, deflections and crosssectional forces of particular structural members. The idea of the stressed skin design (the diaphragm design) has been widely known for many years [1], it is still rarely included in engineering practise. The development of numerical tools which support engineers in structural analysis brings new possibilities to take into consideration the stressed-skin effect. The aim of the analysis presented in the paper is to evaluate the influence of the sheet/purlin fasteners spacing (in reference to trapezoidal profile cross section) on shear flexibility of the roof cladding acting as a diaphragm. Selected schemes of fasteners location, known from engineering practice, but not included in European codes and recommendations [1,8], are analysed numerically using computer program called Autodesk Robot Structural Analysis Professional 2015 (ARSA)

Model of the structure – general description
Analytical procedures
Numerical model
Models of trapezoidal sheeting
Connections and fasteners in numerical model
Scheme of the analyses
Results and conclusions
Full Text
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