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Design of RC Sections with Single Reinforcement According to EC2-1-1 and the Rectangular Stress Distribution

Plevris, Vagelis; Papazafeiropoulos, George
Journal article, Peer reviewed
Accepted version
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URI
https://hdl.handle.net/10642/4208
Date
2017
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  • TKD - Institutt for bygg- og energiteknikk [467]
Original version
Papadrakakis M, Plevris V, Lagaros N. Computational Methods in Earthquake Engineering, Volume 3. Springer Publishing Company; 2017. 418 p.. Computational Methods in Applied Sciences(44)  
Abstract
Nowadays, the design of concrete structures in Europe is governed by

the application of Eurocode 2 (EC2). In particular, EC2

—

Part 1-1 deals with the

general rules and the rules for concrete buildings. An important aspect of the design

is specifying the necessary tensile (and compressive, if needed) steel reinforcement

required for a Reinforced Concrete (RC) section. In this study we take into account

the equivalent rectangular stress distribution for concrete and the bilinear

stress-strain relation with a horizontal top branch for steel. This chapter presents

three detailed methodologies for the design of rectangular cross sections with

tensile reinforcement, covering all concrete classes, from C12/15 up to C90/105.

The purpose of the design is to calculate the necessary tensile steel reinforcement.

The

fi

rst methodology provides analytic formulas and an algorithmic procedure that

can be easily implemented in any programming language. The second methodology

is based on design tables that are provided in Appendix A, requiring less calcu-

lations. The third methodology provides again analytic formulas that can replace the

use of tables and even be used to reproduce the design tables. Apart from the direct

problem, the inverse problem is also addressed, where the steel reinforcement is

given and the purpose is to

fi

nd the maximum bending moment that the section can

withstand, given also the value and position of the axial force. For each case

analytic relations are extracted in detail with a step-by-step procedure, the relevant

assumptions are highlighted and results for four different cross section design

examples are presented.
Publisher
Springer
Series
Computational Methods in Applied Sciences;44

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