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IASS-SLTE Symposium 2014: Shells, Membranes and Spatial Structures: Footprints


IASS Symposium 2014

SESSION: General 2: Structural Analysis and Design

Calculation formula for stress of a slab subjected to uniform load with geometrical initial imperfection

< Table of Contents for General 2: Structural Analysis and Design
  • Proceedings Name: IASS-SLTE Symposium 2014: Shells, Membranes and Spatial Structures: Footprints
  • ISSN: (Electronic Version) 2518-6582
  • Session: General 2: Structural Analysis and Design
  • Title: Calculation formula for stress of a slab subjected to uniform load with geometrical initial imperfection
  • Author(s): Masafumi TANAKA, Ryoichi SHIBATA
  • Keywords: Initial imperfection, Slab, Uniform load, Fixed end support, Finite element analysis, Calculation formula for stress
Abstract
Slab refers to a flat physical body whose thickness is smaller than other dimensions (length, width). Classical bending theory of isotropic slab is also known as thin plate theory of Poisson-Kirchhoff, but it is based on the hypothesis that idealizes that plate thickness is uniform1). On the other hand, the reinforced concrete structural calculation standards and its explanation2) (hereinafter abbreviated as RC standards) uses a solution that postulates and determines a bidirectional cross beam from the properties of the bending moment generated in a slab. These were used as the methods that allow confirming the safety ever since the computers were not developed adequately. However, it is extremely difficult to derive bending moment considering geometrical imperfection of a plate from the bending moment calculation formula determined in theoretical solutions and RC standards. Objective of the present paper is to derive calculation formula for stress of a slab considering initial imperfection using finite element analysis in the case of occurrence of surface unevenness in a concrete slab.

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