# University of Sheffield The development of finite elements for 3D structural analysis in fire

Size: px
Start display at page:

Download "University of Sheffield The development of finite elements for 3D structural analysis in fire"

## Transcription

1 The development of finite elements for 3D structural analysis in fire Chaoming Yu, I. W. Burgess, Z. Huang, R. J. Plank Department of Civil and Structural Engineering StiFF 05/09/2006

2 3D composite structures Concrete-filled steel tube columns Bi-Steel panels

3 Why 3D brick elements? Complicated 3D problems. The elevated-temperature concrete material models used in a series of finite element programs, such as ABAQUS and Ansys, are too inefficient to converge. In theory, triaxial concrete failure criteria at high temperatures were still problems.

4 The development of 3D brick elements There were only slab, beam-column, spring and shear-connector elements in Vulcan. A new 3D brick element had to be developed and implemented into Vulcan. Both geometric and material non-linearities were considered.

5 The procedure 3D brick element 3D Nonlinear material law Steel Concrete Verifications Parametric studies

6 3D geometric model Static finite element equilibrium equation t t t+ t ( K + K U = R ) 0 L 0 NL t T 0 0 K L = 0 BL C B d t t 0 0 L 0V t T t 0 K NL = 0 BNL 0 S B V t t 0 0 NL 0V t T F = B Sˆ d t t L 0 0V V d V 0 t F K L, K NL are respectively the linear-strain incremental stiffness matrix and the nonlinear-strain incremental stiffness matrix; U is the vector of increments in the nodal point displacements; R is the vector of externally applied nodal point loads; F is the vector of nodal point forces equivalent to the element stresses at time t z y x t s r

7 Triaxial steel model The von Mises criterion was chosen as the yield function of steel. It changes with the temperature. Plastic theory 2 f ( J 2 ) = J 2 k = 0 k = σ 0 3 J 2 is the second invariant of the deviatoric stress tensor; k is material constant; σ 0 is the uniaxial yield stress.

8 3D concrete model The Drucker-Prager function Material degradation considered Plastic theory f ( I, J 2 ) = α I1 + J 2 k 1 = 1 α = 3 k 2 = 3 f f f f c c c c + + f f f t f t t t 0 I 1 is the first invariant of the stress tensor; α and k are material constants; f c is the uniaxial compressive strength; f t is the uniaxial tensile strength.

9 Post-failure definitions for concrete model Assumptions: After the initiation of cracking in a single principal direction, concrete is treated as an orthotropic material. Cracks can close in terms of the development of principal stresses. For the crushing failure mode, the material is assumed to lose its loadcarrying capacity completely.

10 Post-failure definitions for concrete model First cracking Crushing Symmetric σ 1 σ 1 σ 3 /f c σ 2 /f c Second cracking Crushing

11 Post-failure definitions for concrete model After the second cracking happened, the third principal stress is used to determine the next failure mode. If σ 3 f t, the third cracking occurs. If σ 3 f c, it reaches to the crushing failure.

12 No. 1 Specimen label Han-1 Dimensions h b t (mm) Validations of the developed 3D models 4 tests, which were stub concretefilled steel columns at ambient temperature, have been simulated by a series of 3D eight-noded brick elements in Vulcan. Length (mm) 300 Steel properties Yield strength (MPa) 228 Young's modulus (MPa) Concrete properties Compressive strength (MPa) 49.3 Young's modulus (MPa) Han Stephen-S Stephen-R

13 Validations of the developed 3D models

14 Comparisons with elevatedtemperature tests The fire behaviours of two concrete-filled steel columns were modelled by the developed brick elements, and presented here. Specimen label Han-R-1 Chabot- SQ-22 Dimensions h b t (mm) Bar ratio (%) Length (mm) Steel yield strength (MPa) Concrete compressive strength (MPa) Test load (kn) Fail mode Crush Crush

15 Comparisons with elevatedtemperature tests

16 Case study-bi-steel At ambient temperature, the structural behaviour of Bi- Steel panels has been studied during recent years. However, there have been few research of the behaviour in fire of Bi-Steel components or structures. In the building fire resistance context, it is necessary to do some detailed research in this field. For Bi-Steel panels, the calculation of fire resistance involves the determination of temperature distribution, deformation and stress under various types of loading.

17 3D heat transfer simulation A Bi-Steel panel without additional fire protection, exposed to the standard ISO 834 fire, is presented for thermal analysis. The finite element analysis software ABAQUS was used to generate temperature information. Because of the inherent symmetry of the case, only a cube of Bi-Steel panel was considered here. Temperature plot at mid-plane

18 3D heat transfer simulation

19 The influence of thermal parameters Effect of heat flux Fig.1 Temperature distributions along the steel bar connector Effect of steel bar connectors Fig.2 Temperature variation at mid-plane

20 The influence of thermal parameters Effect of the moisture content of concrete Fig.3 Concrete temperature variation at mid-plane Effect of the emissivity of the fire Fig.4 Temperatures at hot plate

21 3D structural analysis L Cross section view h c Parameters: Plate thickness (mm) 10 Fire ISO834 / Hydrocarbon Load ratio 0.3 / 0.5 S Boundary condition Yield strength of steel plates (MPa) 355 Bar diameter (mm) 25 Yield strength of Bars (MPa) 370 Fire Fire H c (mm) S (mm) 200 Ambient Ambient L (mm) 3140 Compressive strength of concrete (MPa)

22 The analysis of mesh sensitivity Fire At ambient temperature Ambient Total node number Total element number At elevated temperatures Finest mesh Fine mesh Medium mesh Coarse mesh

23 Structural responses of Bi-Steel in ISO834 fire

24 Comparisons in different fires Fire Ambient

25 Conclusions The developed brick element works well. Thermal behaviours of Bi-Steel panels. Structural fire behaviours of Bi-Steel panels. Underpin the theoretical basis of Bi- Steel structures. Further studies on the Bi-Steel panels.

26 Thank you! Any questions?

### THE BEHAVIOUR OF REINFORCED CONCRETE AS DEPICTED IN FINITE ELEMENT ANALYSIS.

THE BEHAVIOUR OF REINFORCED CONCRETE AS DEPICTED IN FINITE ELEMENT ANALYSIS. THE CASE OF A TERRACE UNIT. John N Karadelis 1. INTRODUCTION. Aim to replicate the behaviour of reinforced concrete in a multi-scale

### Design issues of thermal induced effects and temperature dependent material properties in Abaqus

Materials Characterisation VII 343 Design issues of thermal induced effects and temperature dependent material properties in Abaqus I. Both 1, F. Wald 1 & R. Zaharia 2 1 Department of Steel and Timber

### Modelling the behaviour of plastics for design under impact

Modelling the behaviour of plastics for design under impact G. Dean and L. Crocker MPP IAG Meeting 6 October 24 Land Rover door trim Loading stages and selected regions Project MPP7.9 Main tasks Tests

### Nonlinear FE Analysis of Reinforced Concrete Structures Using a Tresca-Type Yield Surface

Transaction A: Civil Engineering Vol. 16, No. 6, pp. 512{519 c Sharif University of Technology, December 2009 Research Note Nonlinear FE Analysis of Reinforced Concrete Structures Using a Tresca-Type Yield

### Stresses Analysis of Petroleum Pipe Finite Element under Internal Pressure

ISSN : 48-96, Vol. 6, Issue 8, ( Part -4 August 06, pp.3-38 RESEARCH ARTICLE Stresses Analysis of Petroleum Pipe Finite Element under Internal Pressure Dr.Ragbe.M.Abdusslam Eng. Khaled.S.Bagar ABSTRACT

### FINITE ELEMENT ANALYSIS OF TAPERED COMPOSITE PLATE GIRDER WITH A NON-LINEAR VARYING WEB DEPTH

Journal of Engineering Science and Technology Vol. 12, No. 11 (2017) 2839-2854 School of Engineering, Taylor s University FINITE ELEMENT ANALYSIS OF TAPERED COMPOSITE PLATE GIRDER WITH A NON-LINEAR VARYING

### A CONNECTION ELEMENT FOR MODELLING END-PLATE CONNECTIONS IN FIRE

A CONNECTION ELEMENT OR MODELLING END-PLATE CONNECTIONS IN IRE Dr Zhaohui Huang Department of Civil & Structural Engineering, University of Sheffield 22 September 29 1. INTRODUCTION Three approaches for

### EQUIVALENT FRACTURE ENERGY CONCEPT FOR DYNAMIC RESPONSE ANALYSIS OF PROTOTYPE RC GIRDERS

EQUIVALENT FRACTURE ENERGY CONCEPT FOR DYNAMIC RESPONSE ANALYSIS OF PROTOTYPE RC GIRDERS Abdul Qadir Bhatti 1, Norimitsu Kishi 2 and Khaliq U Rehman Shad 3 1 Assistant Professor, Dept. of Structural Engineering,

### Microplane Model formulation ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary

Microplane Model formulation 2010 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary Table of Content Engineering relevance Theory Material model input in ANSYS Difference with current concrete

### NUMERICAL EVALUATION OF THE ROTATIONAL CAPACITY OF STEEL BEAMS AT ELEVATED TEMPERATURES

8 th GRACM International Congress on Computational Mechanics Volos, 12 July 15 July 2015 NUMERICAL EVALUATION OF THE ROTATIONAL CAPACITY OF STEEL BEAMS AT ELEVATED TEMPERATURES Savvas Akritidis, Daphne

### Enhancing Prediction Accuracy In Sift Theory

18 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS Enhancing Prediction Accuracy In Sift Theory J. Wang 1 *, W. K. Chiu 1 Defence Science and Technology Organisation, Fishermans Bend, Australia, Department

### FE analysis of steel-concrete composite structure with partial interactions

FE analysis of steel-concrete composite structure with partial interactions WonHo Lee 1), SeoJun Ju 2) and Hyo-Gyoung Kwa 3) 1), 2) 3) Department of Civil Engineering, KAIST, Daejeon 34141, Korea 1) wonho.lee@aist.ac.r

### Plasticity R. Chandramouli Associate Dean-Research SASTRA University, Thanjavur

Plasticity R. Chandramouli Associate Dean-Research SASTRA University, Thanjavur-613 401 Joint Initiative of IITs and IISc Funded by MHRD Page 1 of 9 Table of Contents 1. Plasticity:... 3 1.1 Plastic Deformation,

### ALGORITHM FOR NON-PROPORTIONAL LOADING IN SEQUENTIALLY LINEAR ANALYSIS

9th International Conference on Fracture Mechanics of Concrete and Concrete Structures FraMCoS-9 Chenjie Yu, P.C.J. Hoogenboom and J.G. Rots DOI 10.21012/FC9.288 ALGORITHM FOR NON-PROPORTIONAL LOADING

### Dynamic Analysis of a Reinforced Concrete Structure Using Plasticity and Interface Damage Models

Dynamic Analysis of a Reinforced Concrete Structure Using Plasticity and Interface Damage Models I. Rhee, K.J. Willam, B.P. Shing, University of Colorado at Boulder ABSTRACT: This paper examines the global

### Fracture Test & Fracture Parameters of Self Compacting Concrete using ANSYS. Zeel Vashi 1,Megha Thomas 2 I. INTRODUCTION

International Journal of Technical Innovation in Modern Engineering & Science (IJTIMES) Impact Factor: 3.45 (SJIF-2015), e-issn: 2455-2584 Volume 3, Issue 05, May-2017 Fracture Test & Fracture Parameters

### NUMERICAL SIMULATIONS OF CORNERS IN RC FRAMES USING STRUT-AND-TIE METHOD AND CDP MODEL

Numerical simulations of corners in RC frames using Strut-and-Tie Method and CDP model XIII International Conference on Computational Plasticity. Fundamentals and Applications COMPLAS XIII E. Oñate, D.R.J.

### MECHANICS OF MATERIALS. EQUATIONS AND THEOREMS

1 MECHANICS OF MATERIALS. EQUATIONS AND THEOREMS Version 2011-01-14 Stress tensor Definition of traction vector (1) Cauchy theorem (2) Equilibrium (3) Invariants (4) (5) (6) or, written in terms of principal

### **********************************************************************

Department of Civil and Environmental Engineering School of Mining and Petroleum Engineering 3-33 Markin/CNRL Natural Resources Engineering Facility www.engineering.ualberta.ca/civil Tel: 780.492.4235

### Centrifuge Shaking Table Tests and FEM Analyses of RC Pile Foundation and Underground Structure

Centrifuge Shaking Table s and FEM Analyses of RC Pile Foundation and Underground Structure Kenji Yonezawa Obayashi Corporation, Tokyo, Japan. Takuya Anabuki Obayashi Corporation, Tokyo, Japan. Shunichi

### Modeling of welded angle connections in fire

April 26-27, 211, Semnan University, Semnan, Iran Modeling of welded angle connections in fire Amir Saedi Daryan 1, Mahmoud Yahyai 2, 1- PhD. candidate of Structural Session, Civil Engineering Dept. K.N.Toosi

### MODELING SLAB-COLUMN CONNECTIONS REINFORCED WITH GFRP UNDER LOCALIZED IMPACT

MODELING SLAB-COLUMN CONNECTIONS REINFORCED WITH GFRP UNDER LOCALIZED IMPACT QI ZHANG and AMGAD HUSSEIN Faculty of Engineering, Memorial University of Newfoundland St. John s, Newfoundland, Canada, A1B

### Theoretical Manual Theoretical background to the Strand7 finite element analysis system

Theoretical Manual Theoretical background to the Strand7 finite element analysis system Edition 1 January 2005 Strand7 Release 2.3 2004-2005 Strand7 Pty Limited All rights reserved Contents Preface Chapter

### 5 ADVANCED FRACTURE MODELS

Essentially, all models are wrong, but some are useful George E.P. Box, (Box and Draper, 1987) 5 ADVANCED FRACTURE MODELS In the previous chapter it was shown that the MOR parameter cannot be relied upon

### Module 5: Failure Criteria of Rock and Rock masses. Contents Hydrostatic compression Deviatoric compression

FAILURE CRITERIA OF ROCK AND ROCK MASSES Contents 5.1 Failure in rocks 5.1.1 Hydrostatic compression 5.1.2 Deviatoric compression 5.1.3 Effect of confining pressure 5.2 Failure modes in rocks 5.3 Complete

### EFFECT OF TRANSIENT THERMAL STRAIN ON THE BUCKLING OF SLENDER CONCRETE AND CONCRETE-FILLED COLUMNS IN FIRE

EFFECT OF TRANSIENT THERMAL STRAIN ON THE BUCKLING OF SLENDER CONCRETE AND CONCRETE-FILLED COLUMNS IN FIRE SHAN-SHAN HUANG 1 IAN BURGESS 2 ZHAO-HUI HUANG 3 and ROGER PLANK 4 ABSTRACT Pre-compressed concrete

### VORONOI APPLIED ELEMENT METHOD FOR STRUCTURAL ANALYSIS: THEORY AND APPLICATION FOR LINEAR AND NON-LINEAR MATERIALS

The 4 th World Conference on Earthquake Engineering October -7, 008, Beijing, China VORONOI APPLIED ELEMENT METHOD FOR STRUCTURAL ANALYSIS: THEORY AND APPLICATION FOR LINEAR AND NON-LINEAR MATERIALS K.

### 6. NON-LINEAR PSEUDO-STATIC ANALYSIS OF ADOBE WALLS

6. NON-LINEAR PSEUDO-STATIC ANALYSIS OF ADOBE WALLS Blondet et al. [25] carried out a cyclic test on an adobe wall to reproduce its seismic response and damage pattern under in-plane loads. The displacement

### Constitutive models: Incremental plasticity Drücker s postulate

Constitutive models: Incremental plasticity Drücker s postulate if consistency condition associated plastic law, associated plasticity - plastic flow law associated with the limit (loading) surface Prager

### Abstract. 1 Introduction

Contact analysis for the modelling of anchors in concrete structures H. Walter*, L. Baillet** & M. Brunet* *Laboratoire de Mecanique des Solides **Laboratoire de Mecanique des Contacts-CNRS UMR 5514 Institut

### Effect Of The In-Situ Stress Field On Casing Failure *

Effect Of The In-Situ Stress Field On Casing Failure * Tang Bo Southwest Petroleum Institute, People's Republic of China Lian Zhanghua Southwest Petroleum Institute, People's Republic of China Abstract

### Behaviour of Continuous Beam to Column Connections in Post Earthquake Fire

Behaviour of Continuous Beam to Column Connections in Post Earthquake Fire M. Yahyai & B. Hasanpour Ghamsari Civil Engineering Department, K.N. Toosi University of Technology SUMMARY: Earthquake events

### MODELING OF CONCRETE MATERIALS AND STRUCTURES. Kaspar Willam. Uniaxial Model: Strain-Driven Format of Elastoplasticity

MODELING OF CONCRETE MATERIALS AND STRUCTURES Kaspar Willam University of Colorado at Boulder Class Meeting #3: Elastoplastic Concrete Models Uniaxial Model: Strain-Driven Format of Elastoplasticity Triaxial

### INFLUENCE OF WEB THICKNESS REDUCTION IN THE SHEAR RESISTANCE OF NON-PRISMATIC TAPERED PLATE GIRDERS

INFLUENCE OF WEB THICKNESS REDUCTION IN THE SHEAR RESISTANCE OF NON-PRISMATIC TAPERED PLATE GIRDERS Paulo J. S. Cruz 1, Lúcio Lourenço 1, Hélder Quintela 2 and Manuel F. Santos 2 1 Department of Civil

### EDEM DISCRETIZATION (Phase II) Normal Direction Structure Idealization Tangential Direction Pore spring Contact spring SPRING TYPES Inner edge Inner d

Institute of Industrial Science, University of Tokyo Bulletin of ERS, No. 48 (5) A TWO-PHASE SIMPLIFIED COLLAPSE ANALYSIS OF RC BUILDINGS PHASE : SPRING NETWORK PHASE Shanthanu RAJASEKHARAN, Muneyoshi

### INFLUENCE OF FLANGE STIFFNESS ON DUCTILITY BEHAVIOUR OF PLATE GIRDER

International Journal of Civil Structural 6 Environmental And Infrastructure Engineering Research Vol.1, Issue.1 (2011) 1-15 TJPRC Pvt. Ltd.,. INFLUENCE OF FLANGE STIFFNESS ON DUCTILITY BEHAVIOUR OF PLATE

### Practice Final Examination. Please initial the statement below to show that you have read it

EN175: Advanced Mechanics of Solids Practice Final Examination School of Engineering Brown University NAME: General Instructions No collaboration of any kind is permitted on this examination. You may use

### REGRESSION MODELING FOR STRENGTH AND TOUGHNESS EVALUATION OF HYBRID FIBRE REINFORCED CONCRETE

REGRESSION MODELING FOR STRENGTH AND TOUGHNESS EVALUATION OF HYBRID FIBRE REINFORCED CONCRETE S. Eswari 1, P. N. Raghunath and S. Kothandaraman 1 1 Department of Civil Engineering, Pondicherry Engineering

### Numerical Evaluation of the Thermo-Mechanical. Response of Shallow Reinforced Concrete Beams

Adv. heor. Appl. Mech., ol. 6, 2013, no. 1, 33-47 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/atam.2013.356 Numerical Evaluation of the hermo-mechanical Response of Shallow Reinforced Concrete

### Fire Analysis of Reinforced Concrete Beams with 2-D Plane Stress Concrete Model

Research Journal of Applied Sciences, Engineering and Technology 5(2): 398-44, 213 ISSN: 24-7459; E-ISSN: 24-7467 Maxwell Scientific Organization, 213 Submitted: April 29, 212 Accepted: May 23, 212 Published:

### SEMM Mechanics PhD Preliminary Exam Spring Consider a two-dimensional rigid motion, whose displacement field is given by

SEMM Mechanics PhD Preliminary Exam Spring 2014 1. Consider a two-dimensional rigid motion, whose displacement field is given by u(x) = [cos(β)x 1 + sin(β)x 2 X 1 ]e 1 + [ sin(β)x 1 + cos(β)x 2 X 2 ]e

### An Increase in Elastic Buckling Strength of Plate Girder by the Influence of Transverse Stiffeners

GRD Journals- Global Research and Development Journal for Engineering Volume 2 Issue 6 May 2017 ISSN: 2455-5703 An Increase in Elastic Buckling Strength of Plate Girder by the Influence of Transverse Stiffeners

### Post Graduate Diploma in Mechanical Engineering Computational mechanics using finite element method

9210-220 Post Graduate Diploma in Mechanical Engineering Computational mechanics using finite element method You should have the following for this examination one answer book scientific calculator No

### Using MATLAB and. Abaqus. Finite Element Analysis. Introduction to. Amar Khennane. Taylor & Francis Croup. Taylor & Francis Croup,

Introduction to Finite Element Analysis Using MATLAB and Abaqus Amar Khennane Taylor & Francis Croup Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Croup, an informa business

### A Constitutive Framework for the Numerical Analysis of Organic Soils and Directionally Dependent Materials

Dublin, October 2010 A Constitutive Framework for the Numerical Analysis of Organic Soils and Directionally Dependent Materials FracMan Technology Group Dr Mark Cottrell Presentation Outline Some Physical

### RECENT DEVELOPMENTS IN THE BEHAVIOUR OF STEEL AND COMPOSITE CONNECTIONS IN FIRE

RECENT DEVELOPMENTS IN THE BEHAVIOUR OF STEEL AND COMPOSITE CONNECTIONS IN FIRE K. S. Al-Jabri 1, I. W. Burgess 2, and R. J. Plank 3 1 Department of Civil Engineering, Sultan Qaboos University, PO Box

### five Mechanics of Materials 1 ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 lecture

ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 lecture five mechanics www.carttalk.com of materials Mechanics of Materials 1 Mechanics of Materials MECHANICS MATERIALS

### Mechanics of Solids. Mechanics Of Solids. Suraj kr. Ray Department of Civil Engineering

Mechanics Of Solids Suraj kr. Ray (surajjj2445@gmail.com) Department of Civil Engineering 1 Mechanics of Solids is a branch of applied mechanics that deals with the behaviour of solid bodies subjected

### FEA A Guide to Good Practice. What to expect when you re expecting FEA A guide to good practice

FEA A Guide to Good Practice What to expect when you re expecting FEA A guide to good practice 1. Background Finite Element Analysis (FEA) has transformed design procedures for engineers. Allowing more

### LINEAR AND NONLINEAR BUCKLING ANALYSIS OF STIFFENED CYLINDRICAL SUBMARINE HULL

LINEAR AND NONLINEAR BUCKLING ANALYSIS OF STIFFENED CYLINDRICAL SUBMARINE HULL SREELATHA P.R * M.Tech. Student, Computer Aided Structural Engineering, M A College of Engineering, Kothamangalam 686 666,

### Mechanical analysis of timber connection using 3D finite element model

Mechanical analysis of timber connection using 3D finite element model Bohan XU Ph.D Student Civil Engineering Laboratory (CUST) Clermont-Ferrand, France Mustapha TAAZOUNT Dr-Ing Civil Engineering Laboratory

### A RESEARCH ON NONLINEAR STABILITY AND FAILURE OF THIN- WALLED COMPOSITE COLUMNS WITH OPEN CROSS-SECTION

A RESEARCH ON NONLINEAR STABILITY AND FAILURE OF THIN- WALLED COMPOSITE COLUMNS WITH OPEN CROSS-SECTION H. Debski a*, J. Bienias b, P. Jakubczak b a Faculty of Mechanical Engineering, Department of Machine

### ACET 406 Mid-Term Exam B

ACET 406 Mid-Term Exam B SUBJECT: ACET 406, INSTRUCTOR: Dr Antonis Michael, DATE: 24/11/09 INSTRUCTIONS You are required to answer all of the following questions within the specified time (90 minutes).you

### 3D Finite Element analysis of stud anchors with large head and embedment depth

3D Finite Element analysis of stud anchors with large head and embedment depth G. Periškić, J. Ožbolt & R. Eligehausen Institute for Construction Materials, University of Stuttgart, Stuttgart, Germany

### ELASTOPLASTIC STEEL BEAM BENDING ANALYSIS BY USING ABAQUS

11 ELASTOPLASTIC STEEL BEAM BENDING ANALYSIS BY USING ABAQUS Biswajit Jena * * Corresponding author: biswa.tech88@gmail.com Abstract: In recent years tremendous efforts have been made in development of

Preface...xvii Part 1. Level 1... 1 Chapter 1. The Basics of Linear Elastic Behavior... 3 1.1. Cohesion forces... 4 1.2. The notion of stress... 6 1.2.1. Definition... 6 1.2.2. Graphical representation...

### Lecture #8: Ductile Fracture (Theory & Experiments)

Lecture #8: Ductile Fracture (Theory & Experiments) by Dirk Mohr ETH Zurich, Department of Mechanical and Process Engineering, Chair of Computational Modeling of Materials in Manufacturing 2015 1 1 1 Ductile

### Research Collection. Numerical analysis on the fire behaviour of steel plate girders. Conference Paper. ETH Library

Research Collection Conference Paper Numerical analysis on the fire behaviour of steel plate girders Author(s): Scandella, Claudio; Knobloch, Markus; Fontana, Mario Publication Date: 14 Permanent Link:

### MODELING OF CONCRETE MATERIALS AND STRUCTURES. Kaspar Willam

MODELING OF CONCRETE MATERIALS AND STRUCTURES Class Meeting #1: Fundamentals Kaspar Willam University of Colorado at Boulder Notation: Direct and indicial tensor formulations Fundamentals: Stress and Strain

### Shear Behaviour of Fin Plates to Tubular Columns at Ambient and Elevated Temperatures

Shear Behaviour of Fin Plates to Tubular Columns at Ambient and Elevated Temperatures Mark Jones Research Student, University of Manchester, UK Dr. Yong Wang Reader, University of Manchester, UK Presentation

### Nonlinear Analysis of Reinforced Concrete Shells Subjected to Impact Loads

Transactions of the 7 th International Conference on Structural Mechanics in Reactor Technology (SMiRT 7) Prague, Czech Republic, August 7, 00 Paper # J0- Nonlinear Analysis of Reinforced Concrete Shells

### Computational Analysis for Composites

Computational Analysis for Composites Professor Johann Sienz and Dr. Tony Murmu Swansea University July, 011 The topics covered include: OUTLINE Overview of composites and their applications Micromechanics

### Sabah Shawkat Cabinet of Structural Engineering Walls carrying vertical loads should be designed as columns. Basically walls are designed in

Sabah Shawkat Cabinet of Structural Engineering 17 3.6 Shear walls Walls carrying vertical loads should be designed as columns. Basically walls are designed in the same manner as columns, but there are

### Prof. B V S Viswanadham, Department of Civil Engineering, IIT Bombay

51 Module 4: Lecture 2 on Stress-strain relationship and Shear strength of soils Contents Stress state, Mohr s circle analysis and Pole, Principal stressspace, Stress pathsin p-q space; Mohr-coulomb failure

### NONLINEAR STRESS-STRAIN BEHAVIOUR OF RC ELEMENTS AND RC FRAMES EXPOSED TO FIRE. Meri Cvetkovska 1 ABSTRACT

NONLINEAR STRESS-STRAIN BEHAVIOUR OF RC ELEMENTS AND RC FRAMES EXPOSED TO FIRE Meri Cvetkovska 1 ABSTRACT Structure exposed to fire should not undergo a significant damage or collapse as long as it takes

### Impact and Crash Modeling of Composite Structures: A Challenge for Damage Mechanics

Impact and Crash Modeling of Composite Structures: A Challenge for Damage Mechanics Dr. A. Johnson DLR Dr. A. K. Pickett ESI GmbH EURO-PAM 99 Impact and Crash Modelling of Composite Structures: A Challenge

### Role of Force Resultant Interaction on Ultra-High Performance Concrete

First International Interactive Symposium on UHPC 216 Role of Force Resultant Interaction on Ultra-High Performance Concrete Author(s) & Affiliation: Titchenda Chan (1), Kevin R. Mackie (1), and Jun Xia

### Chapter Two: Mechanical Properties of materials

Chapter Two: Mechanical Properties of materials Time : 16 Hours An important consideration in the choice of a material is the way it behave when subjected to force. The mechanical properties of a material

### ME111 Instructor: Peter Pinsky Class #21 November 13, 2000

Toda s Topics ME Instructor: Peter Pinsk Class # November,. Consider two designs of a lug wrench for an automobile: (a) single ended, (b) double ended. The distance between points A and B is in. and the

### Fracture Mechanics of Non-Shear Reinforced R/C Beams

Irina Kerelezova Thomas Hansen M. P. Nielsen Fracture Mechanics of Non-Shear Reinforced R/C Beams DANMARKS TEKNISKE UNIVERSITET Report BYG DTU R-154 27 ISSN 161-2917 ISBN 97887-7877-226-5 Fracture Mechanics

### Engineering Structures. Nonlinear finite element analysis of CFT-to-bracing connections subjected to axial compressive forces

Engineering Structures 33 (2011) 1479 1490 Contents lists available at ScienceDirect Engineering Structures journal homepage: www.elsevier.com/locate/engstruct Nonlinear finite element analysis of CFT-to-bracing

### Tolerance Ring Improvement for Reducing Metal Scratch

International Journal of Scientific and Research Publications, Volume 2, Issue 11, November 2012 1 Tolerance Ring Improvement for Reducing Metal Scratch Pattaraweerin Woraratsoontorn*, Pitikhate Sooraksa**

### Limit analysis of brick masonry shear walls with openings under later loads by rigid block modeling

Limit analysis of brick masonry shear walls with openings under later loads by rigid block modeling F. Portioli, L. Cascini, R. Landolfo University of Naples Federico II, Italy P. Foraboschi IUAV University,

### NORMAL STRESS. The simplest form of stress is normal stress/direct stress, which is the stress perpendicular to the surface on which it acts.

NORMAL STRESS The simplest form of stress is normal stress/direct stress, which is the stress perpendicular to the surface on which it acts. σ = force/area = P/A where σ = the normal stress P = the centric

### Lecture #6: 3D Rate-independent Plasticity (cont.) Pressure-dependent plasticity

Lecture #6: 3D Rate-independent Plasticity (cont.) Pressure-dependent plasticity by Borja Erice and Dirk Mohr ETH Zurich, Department of Mechanical and Process Engineering, Chair of Computational Modeling

### Statistical Analysis of Stresses in Rigid Pavement

Statistical Analysis of Stresses in Rigid Pavement Aleš Florian, Lenka Ševelová, and Rudolf Hela Abstract Complex statistical analysis of stresses in concrete slab of the real type of rigid pavement is

### RELIABLITY OF CURVED TIMBER BEAM EXPOSED TO FIRE

Applications of Structural Fire Engineering, 15-16 October 2015, Dubrovnik, Croatia RELIABLITY OF CURVED TIMBER BEAM EXPOSED TO FIRE Robert Pečenko, Tomaž Hozjan, Goran Turk University of Ljubljana, Faculty

### A NEW SIMPLIFIED AND EFFICIENT TECHNIQUE FOR FRACTURE BEHAVIOR ANALYSIS OF CONCRETE STRUCTURES

Fracture Mechanics of Concrete Structures Proceedings FRAMCOS-3 AEDFCATO Publishers, D-79104 Freiburg, Germany A NEW SMPLFED AND EFFCENT TECHNQUE FOR FRACTURE BEHAVOR ANALYSS OF CONCRETE STRUCTURES K.

### ME Final Exam. PROBLEM NO. 4 Part A (2 points max.) M (x) y. z (neutral axis) beam cross-sec+on. 20 kip ft. 0.2 ft. 10 ft. 0.1 ft.

ME 323 - Final Exam Name December 15, 2015 Instructor (circle) PROEM NO. 4 Part A (2 points max.) Krousgrill 11:30AM-12:20PM Ghosh 2:30-3:20PM Gonzalez 12:30-1:20PM Zhao 4:30-5:20PM M (x) y 20 kip ft 0.2

### IMPACT RESPONSE ANALYSIS OF LARGE SCALE RC GIRDER WITH SAND CUSHION

-Technical Paper- IMPACT RESPONSE ANALYSIS OF LARGE SCALE RC GIRDER WITH SAND CUSHION Abdul Qadir BHATTI *1, Norimitsu KISHI *2, Shin-ya OKADA *3 and Hisashi KONNO *4 ABSTRACT In order to establish a proper

### DYNAMIC ANALYSIS OF PILES IN SAND BASED ON SOIL-PILE INTERACTION

October 1-17,, Beijing, China DYNAMIC ANALYSIS OF PILES IN SAND BASED ON SOIL-PILE INTERACTION Mohammad M. Ahmadi 1 and Mahdi Ehsani 1 Assistant Professor, Dept. of Civil Engineering, Geotechnical Group,

### Lecture 8. Stress Strain in Multi-dimension

Lecture 8. Stress Strain in Multi-dimension Module. General Field Equations General Field Equations [] Equilibrium Equations in Elastic bodies xx x y z yx zx f x 0, etc [2] Kinematics xx u x x,etc. [3]

### EMEA. Liudmila Feoktistova Engineer Atomenergoproekt

EMEA Liudmila Feoktistova Engineer Atomenergoproekt Dr. Adolf Birbraer, Atomenergoproekt Dr. Alexandr Roleder, Atomenergoproekt Dmitry Mikhaluk, St. Petersburg State Polytechnical University Finite element

### THE DEVELOPMENT OF A COMPONENT-BASED CONNECTION ELEMENT FOR ENDPLATE CONNECTIONS IN FIRE

THE DEVELOPMENT OF A COMPONENT-BASED CONNECTION ELEMENT FOR ENDPLATE CONNECTIONS IN FIRE FLORIAN BLOCK 1, IAN BURGESS 2, BUICK DAVISON 3 and ROGER PLANK 4 ABSTRACT This paper describes the development

### PREDICTION OF THE CYCLIC BEHAVIOR OF MOMENT RESISTANT BEAM-TO-COLUMN JOINTS OF COMPOSITE STRUCTURAL ELEMENTS

SDSS Rio 21 STABILITY AND DUCTILITY OF STEEL STRUCTURES E. Batista, P. Vellasco, L. de Lima (Eds.) Rio de Janeiro, Brazil, September 8-1, 21 PREDICTION OF THE CYCLIC BEHAVIOR OF MOMENT RESISTANT BEAM-TO-COLUMN

### ANSYS Mechanical Basic Structural Nonlinearities

Lecture 4 Rate Independent Plasticity ANSYS Mechanical Basic Structural Nonlinearities 1 Chapter Overview The following will be covered in this Chapter: A. Background Elasticity/Plasticity B. Yield Criteria

### ABSTRACT INTRODUCTION

Optimization of soil anchorages M. Teschner, C. Mattheck Kernforschungszentrum Karlsruhe GmbH, Institut fur Materialforschung II, W-7500 Karlsruhe 1, Postfach 3640, Germany ABSTRACT A new optimization

### Nonlinear Analysis of Axially Loaded Concrete-Filled Tube Columns with Confinement Effect

Nonlinear Analysis of Axially Loaded Concrete-Filled Tube Columns with Confinement Effect Hsuan-Teh Hu, M.ASCE 1 ; Chiung-Shiann Huang 2 ; Ming-Hsien Wu 3 ; and Yih-Min Wu 4 Downloaded from ascelibrary.org

### Finite Element Method in Geotechnical Engineering

Finite Element Method in Geotechnical Engineering Short Course on + Dynamics Boulder, Colorado January 5-8, 2004 Stein Sture Professor of Civil Engineering University of Colorado at Boulder Contents Steps

### CHAPTER 4: BENDING OF BEAMS

(74) CHAPTER 4: BENDING OF BEAMS This chapter will be devoted to the analysis of prismatic members subjected to equal and opposite couples M and M' acting in the same longitudinal plane. Such members are

### A numerical parametric study on the plate inclination angle of steel plate shear walls

Journal of Structural Engineering & Applied Mechanics 219 Volume 1 Issue 4 164-173 https://doi.org/1.31462/jseam.219.1164173 www.goldenlightpublish.com RESEARCH ARTICLE A numerical parametric study on

### NUMERICAL SIMULATION OF CONCRETE EXPOSED TO HIGH TEMPERATURE DAMAGE AND EXPLOSIVE SPALLING

NUMERICAL SIMULATION OF CONCRETE EXPOSED TO HIGH TEMPERATURE DAMAGE AND EXPLOSIVE SPALLING Prof. Joško Ožbolt 1 Josipa Bošnjak 1, Goran Periškić 1, Akanshu Sharma 2 1 Institute of Construction Materials,

### If you take CT5143 instead of CT4143 then write this at the first of your answer sheets and skip problem 4 and 6.

Delft University of Technology Faculty of Civil Engineering and Geosciences Structural Mechanics Section Write your name and study number at the top right-hand of your work. Exam CT4143 Shell Analysis

### Stress analysis of a stepped bar

Stress analysis of a stepped bar Problem Find the stresses induced in the axially loaded stepped bar shown in Figure. The bar has cross-sectional areas of A ) and A ) over the lengths l ) and l ), respectively.

### Finite Element Modeling of the Load Transfer Mechanism in Adjacent Prestressed. Concrete Box-Beams. a thesis presented to.

Finite Element Modeling of the Load Transfer Mechanism in Adjacent Prestressed Concrete Box-Beams a thesis presented to the faculty of the Russ College of Engineering and Technology of Ohio University

### Finite Element Study of Concrete-Filled Steel Tubes Using a New Confinement-Sensitive Concrete Compression Model

1 Finite Element Study of Concrete-Filled Steel Tubes Using a New Confinement-Sensitive Concrete Compression Model Mathias Johansson, Lic. Sc., Research Assistant Department of Structural Engineering,

### DETERMINING THE STRESS PATTERN IN THE HH RAILROAD TIES DUE TO DYNAMIC LOADS 1

PERIODICA POLYTECHNICA SER. CIV. ENG. VOL. 46, NO. 1, PP. 125 148 (2002) DETERMINING THE STRESS PATTERN IN THE HH RAILROAD TIES DUE TO DYNAMIC LOADS 1 Nándor LIEGNER Department of Highway and Railway Engineering

### MATERIAL MECHANICS, SE2126 COMPUTER LAB 2 PLASTICITY

MATERIAL MECHANICS, SE2126 COMPUTER LAB 2 PLASTICITY PART A INTEGRATED CIRCUIT An integrated circuit can be thought of as a very complex maze of electronic components and metallic connectors. These connectors