Title: DESIGN OF REINFORCED CONCRETE BEAMS WITH OPENINGS By Eng. Waleed El-Demerdash El-Demerdash El-Sawi
Page Number: 230 pages
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File size: 13 MB
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Contents
CHAPTER 1: INTRODUCTION
1.1 GENERAL ...................................................................
1.2 PROBLEM IDENTIFICATION ....................................................
1.3 RESEARCH SIGNIFICANCE .....................................................
1.4 OBJECTIVES AND SCOPE ......................................................
1.5 THESIS ARRANGEMENT ........................................................
2.1 INTRODUCTION ..............................................................
2.2 PREVIOUS STUDIES ON ORDINARY BEAMS WITH OPENINGS
2.2.1 Classification of Openings...........................................
2.2.1.1 Small Openings.................................................
2.2.1.2 Large Openings ................................................
2.3 PREVIOUS STUDIES ON SHEAR BEHAVIOR OF SIMPLY SUPPORTED NORMAL-STRENGTH CONCRETE DEEP BEAMS WITH AND WITHOUT OPENINGS.....
2.4 PREVIOUS STUDIES ON SHEAR BEHAVIOR OF SIMPLY SUPPORTED HIGH STRENGTH CONCRETE DEEP BEAMS WITH AND WITHOUT OPENINGS.......
2.5 PREVIOUS STUDIES ON SHEAR STRENGTH OF NORMAL- AND HIGH-STRENGTH CONCRETE SOLID CONTINUOUS DEEP BEAMS ....................
2.6 PREVIOUS STUDIES ON THE SHEAR BEHAVIOR OF CONTINUOUS DEEP BEAMS WITH WEB OPENINGS........................
CHAPTER 3: STRUT-AND-TIE MODELING OF BEAMS WITH OPENINGS
3.1 INTRODUCTION ..............................................................
3.2 OPENINGS IN ORDINARY BEAMS...............................................
3.2.1 Modeling ...........................................................
3.2.1.1 The Approach for Developing a STM for Beams with Openings.....
3.2.1.2 Case-Study....................................................
3.2.2 Strength Limits of Strut-and-tie Model′s Components.................
3.2.3 Verification Examples...............................................
3.3 DEEP BEAMS AND OPENINGS IN DEEP BEAMS.............................
3.3.1 Modeling ...........................................................
3.3.1.1 Case-Study....................................................
3.3.2 Verification Examples ..............................................
3.4 SUMMARY AND CONCLUSIONS.................................................
CHAPTER 4: NONLINEAR FINITE ELEMENT ANALYSIS
4.1 INTRODUCTION..............................................................
4.2 ANSYS′ FINITE ELEMENT MODELS..............................................
4.2.1 Element Types ......................................................
4.2.1.1 Solid65.......................................................
4.2.1.2 Solid45.......................................................
4.2.1.3 Link8-3D......................................................
4.2.2 Material Models.....................................................
4.2.2.1 Concrete in Compression.......................................
4.2.2.2 Concrete in Tension...........................................
4.2.2.3 Reinforcement in Tension......................................
4.2.2.4 Bond between Concrete and Reinforcement..................
4.2.3 Solution Strategy...................................................
4.2.3.1 Automatic Time Stepping.......................................
4.2.3.2 Loading.......................................................
4.2.3.3 Newton-Raphson Method of Analysis........................
4.3 ANALYSIS OF ORDINARY BEAMS WITH OPENINGS.........................
4.3.1 Verification Group B: Simple Beams With and Without Circular Openings.
4.3.1.1 Model Description and Material Properties....................
4.3.1.2 Meshing.........................................................
4.3.1.3 Loads and Boundary Conditions................................
4.3.1.4 Finite Element Results.............................................
4.3.1.5 Comparison of the Results........................................
4.3.2 Verification Group C: Simple Beams With and Without Rectangular Openings....
4.3.2.1 Model Description and Material Properties...................
4.3.2.2 Meshing............................................................
4.3.2.3 Loads and Boundary Conditions...............................
4.3.2.4 Finite Element Results...........................................
4.3.2.5 Comparison of the Results.......................................
4.3.3 Verification Group D: Simple Beams With Rectangular Openings....
4.3.3.1 Model Description and Material Properties ..................
4.3.3.2 Meshing.............................................................
4.3.3.3 Loads and Boundary Conditions................................
4.3.3.4 Finite Element Results............................................
4.3.3.5 Comparison of the Results........................................
4.4 ANALYSIS OF DEEP BEAMS WITH OPENINGS................................
4.4.1 Verification Group A: Simple and continuous Beams With Rectangular Openings..
4.4.1.1 Model Description and Material Properties ..................
4.4.1.2 Meshing............................................................
4.4.1.3 Loads and Boundary Conditions...............................
4.4.1.4 Finite Element Results...........................................
4.4.1.5 Comparison of the Results......................................
4.4.2 Verification Group B: Simple Beams With Rectangular Openings....
4.4.2.1 Model Description and Material Properties ..................
4.4.2.2 Meshing............................................................
4.4.2.3 Loads and Boundary Conditions...............................
4.4.2.4 Finite Element Results...........................................
4.4.2.5 Comparison of the Results.......................................
4.5 CONCLUSIONS.........................................................................
CHAPTER 5: DESIGN PROCEDURE, DETAILING, AND DESIGN RECOMMENDATIONS FOR BEAMS WITH OPENINGS
5.1 INTRODUCTION........................................................................
5.2 SHALLOW (ORDINARY) BEAMS...................................................
5.2.1 General Guidelines............................................................
5.2.2 Design of Reinforced Concrete Beams with Small Openings using Traditional Approach.....
5.2.2.1 Pure Bending......................................................
5.2.2.2 Combined Bending and Shear...................................
5.2.2.3 Reinforcement Detailing.........................................
5.2.2.4 Numerical Example for Beam ND80X350 (Case 2) with Small Openings...........
5.2.3 Redesign of Reinforced Concrete Beam ND80X350 using Strut-and-Tie Method ............
5.2.4 Design of Reinforced Concrete Beams with Large Openings using the Traditional Approach.....
5.2.4.1 Available Design Procedures ....................................
5.2.4.2 Numerical Example for Case 2-Beam (Group C) with Large Rectangular Openings 100×300mm.................
5.2.5 Redesign for the previous Case 2-Beam (Group C) with Large Rectangular Opening 100×300mm using Strut-and-Tie Method.........
5.3 DEEP BEAMS.............................................................................
5.3.1 A general Procedure for Strut-and-Tie Modeling for Discontinuity Regions............
5.3.2 Example-Design of a RC Deep Beam with Openings using Strut-and-Tie Method ...........
5.3.2.1 Geometry and Loads..............................................
5.3.2.2 Design Procedure..................................................
5.3.2.3 Design Calculations................................................
5.4 DESIGN RECOMMENDATIONS......................................................
CHAPTER 6: SUMMARY AND CONCLUSIONS
6.1 INTRODUCTION........................................................................
6.2 SUMMARY..............................................................................
6.3 CONCLUSIONS.........................................................................
