REINFORCED CONCRETE BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS

Size: px
Start display at page:

Download "REINFORCED CONCRETE BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS"

Transcription

1 CHAPTER Reinored Conrete Design Fith Edition REINFORCED CONCRETE BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS A. J. Clark Shool o Engineering Department o Civil and Environmental Engineering Part I Conrete Design and Analsis 3a FALL 2002 B Dr. Irahim. Assakka ENCE Introdution to Strutural Design Department o Civil and Environmental Engineering Universit o Marland, College Park CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 1 Introdution to T-Beams Reinored onrete strutural sstems suh as loors, roos, deks, et., are almost monolithi, exept or preast sstems. Forms are uilt or eam sides the underside o slas, and the entire onstrution is poured at one, rom the ottom o the deepest eam to the top o the sla. 1

2 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 2 Introdution to T-Beams Floor-Column Sstems CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 3 Introdution to T-Beams Beam and Girder Sstem This sstem is omposed o sla on supporting reinored onrete eams and girder.. The eam and girder rameork is, in turn, supported olumns. In suh a sstem, the eams and girders are plaed monolithiall ith the sla. The tpial monolithi strutural sstem is shon in Fig. 1. 2

3 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 4 Introdution to T-Beams Beam and Girder Floor Sstem Sla Spandrel eam Beam Girder Column Figure 1 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 5 Introdution to T-Beams Common Beam and Girder Laout Girder Girder Beam Column Beam Column Figure 2 3

4 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 6 Introdution to T-Beams Positive Bending Moment In the analsis and design o loor and roo sstems, it is ommon pratie to assume that the monolithiall plaed sla and supporting eam interat as a unit in resisting the positive ending moment. As shon in Fig. 3, the sla eomes the ompression lange, hile the supporting eam eomes the e or stem. CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 7 Introdution to T-Beams T-Beam as Part o a Floor Sstem Sla Eetive Flange Width h d Flange We or Stem Supporting Beam or Sla A s Figure 3 Beam Spaing 4

5 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 8 Introdution to T-Beams T-Beam The interating lange and e produe the ross setion having the tpial T- shape, thus the T-Beam gets its name. Negative Bending Moment It should e noted that hen the the T- Beam is sujeted to negative moment, the sla at the top o the stem (e) ill e in tension hile the ottom o the stem is in ompression. This usuall ours at interior support o ontinuous eam. CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 9 ACI Code Provisions or T-Beams 1. The eetive lange idth must not exeed a. One-ourth the span length. + 16h. Center-to-enter spaing o the eam The smallest o the three values ill ontrol 2. For eam having a lange on one side onl, the eetive overhanging lange idth must 5

6 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 10 ACI Code Provisions or T-Beams Not exeed one-telth o the span length o the eam, nor six times the sla thikness, nor one-hal o the lear distane to the next eam. 3. For isolated eam in hih the T-shape is used onl or the purpose o providing additional ompressive area, the lange thikness must not e less than one-hal o the idth o the e, and the total lange idth must not e more than our times the e idth. CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 11 T-Beam Versus Retangular Beam The dutilit requirements or T-eams are similar to those or retangular eams. The maximum steel ratio ρ shall not exeed 0.75ρ. Hoever, this steel ratio is not the same value as that taulated or retangular eams eause o the T-shaped ompressive area. 6

7 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 12 Formulas or Balaned T-Beam These ormulas an e used to ind A s. It ill e illustrated in Example 1: a N C 87,000 d + 87,000 β [ h + ( a h )] (1) See Fig. 4 or deinitions o variales CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 13 Figure 4 ε 0.85 d h a N C N.A. N T ε s 7

8 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 14 Minimum Steel Ratio or T-Beams The T-eam is sujeted to positive moment: The steel area shall not e less than that given As, min d d (2) Note that the irst expression ontrols i > 4440 psi ACI Code CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 15 Minimum Steel Ratio or T-Beams The T-eam is sujeted to negative moment: The steel area A s shall equal the smallest o the olloing expression: A s, min smallest o 6 d or 3 d (3) ACI Code 8

9 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 16 Notes on the Analsis o T-Beams Beause o the large ompressive in the lange o the T-eam, the moment strength is usuall limited the ielding o the tensile steel. Thereore, it sae to assume that the tensile steel ill ield eore the onrete reahes its ultimate strain. The ultimate tensile ore ma e ound rom N A (4) T s CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 17 Notes on the Analsis o T-Beams In analzing a T-eam, there might exist to onditions: 1. The stress lok ma e ompletel ithin the lange. 2. The stress lok ma over the lange and extend into the e. These to onditions ill result in hat are termed: a retangular T-eam and a true T-eam, respetivel. 9

10 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 18 Stress Blok Completel ithin the Flange (Retangular T-Beam) h ε a 0.85 N C N.A. d N T ε s CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 19 Stress Blok Cover Flange and Extends into We (True T-Beam) ε 0.85 d h a N C N.A. N T ε s 10

11 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 20 Example 1 The T-eam shon in the igure is part o a loor sstem. Determine the pratial moment strength φm n i 60,000 psi (A615 grade 60) and 3,000 psi. d 12 Beams 32 in. o h 2 3 #9 (A s 3 in 2 ) CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 21 Example 1 (ont d) Sine the span length is not given, e determine the lange idth in terms o the lange thikness and eam spaing: + 16h Thereore, ( 2) 42 in. Beam spaing 32 in.o.. Use 32 in.(smallest o the to) 11

12 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 22 Example 1 (ont d) Find N T assuming that the steel has ielded: NT As 3 ( 60) 180 kips I the lange alone is stressed to 0.85, then the total ompressive ore ould e N T ()()( ) kips 0.85 h 0.85 Sine 180 > 163, the eam should e analzed as true T-eam, and the stress lok ill extend into the e (Fig. 5) CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 23 Example 1 (ont d) d h 2 ε a 0.85 Z N C N.A. 3 #9 (A s 3 in 2 ) N T 1 0 ε s Figure 5 12

13 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 24 Example 1 (ont d) The remaining ompression is thereore Remaining Compression N N T a h N C NT N a NT N 0.85 C C + h ( a h ) T in ()( 3 10) N C CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 25 Example 1 (ont d) Chek A s, min using Eq. 3 or Tale 1 From Tale1(also Tale A -5 Text) : A s,min ( )( 12) 0.40 in 2 2 ( A 3.0 in ) > ( A 0.4 in ) OK s d s,min In order to ind the internal ouple, e have to ind the ouple arm Z: A A 2 13

14 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 26 Tale 1. Design Constants (Tale A-5 Text) 3 Reommended Design Values 200 ( psi) ρ max 0.75 ρ ρ k (ksi) F 40,000 psi 3, , , , F 50,000 psi 3, , , , F 60,000 psi 3, , , , F 75,000 psi 3, , , , CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 27 Example 1 (ont d) A 1 A 2 2 a Z N C 10 N T Using a reerene axis at the top: A A [ 32( 2) ]() 1 + [ 10( 0.66) ]( ) 32( 2) + 10( 0.66) 1.12 in 14

15 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 28 Example 1 (ont d) Z an e omputed as ollos: Z d in. Thereore, ( ) M n NT Z t - kips 12 Thus the paratial moment is φm n ( ) 147 t - kips CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 29 Example 1 (ont d) 12 Alternatel, the nominal moment an e ound as ollos: N C A 2 1 a 2.66 A 2 N C Z Z M n Z NC + ZNC N N N T C N + N N [( ) + ( )( 16.8) ] t - kips C T C C, or N T t - Kips 15

16 CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 30 Example 1 (ont d) Chek assumption or dutile ailure: From Eq. 1 N a C 87, d + 87, β ( 12) ( 7.1) in. [ h + ( a h )] 7.10 in. () 3 [ 32() ( ) ] kips N T CHAPTER 3a. R/C BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS Slide No. 31 Example 1 (ont d) A A s s,max 0.75A ( 4.44) 4.44 in 2 2 ( A 3.0 in ) < ( A 4.44 in ) OK s N T s s,max 2 16

Chapter 8. Flexural Analysis of T-Beams

Chapter 8. Flexural Analysis of T-Beams Chapter 8. Flexural Analysis of T-s 8.1. Reading Assignments Text Chapter 3.7; ACI 318, Section 8.10. 8.2. Occurrence and Configuration of T-s Common construction type.- used in conjunction with either

More information

Fig. 1.1 Rectangular foundation plan.

Fig. 1.1 Rectangular foundation plan. Footings Example 1 Design of a square spread footing of a seven-story uilding Design and detail a typial square spread footing of a six ay y five ay seven-story uilding, founded on stiff soil, supporting

More information

In order to be able to design beams, we need both moments and shears. 1. Moment a) From direct design method or equivalent frame method

In order to be able to design beams, we need both moments and shears. 1. Moment a) From direct design method or equivalent frame method BEAM DESIGN In order to be able to design beams, we need both moments and shears. 1. Moment a) From diret design method or equivalent frame method b) From loads applied diretly to beams inluding beam weight

More information

INTRODUCTION TO BEAMS

INTRODUCTION TO BEAMS CHAPTER Structural Steel Design LRFD Method INTRODUCTION TO BEAMS Third Edition A. J. Clark School of Engineering Department of Civil and Environmental Engineering Part II Structural Steel Design and Analysis

More information

CHAPTER J DESIGN OF CONNECTIONS

CHAPTER J DESIGN OF CONNECTIONS J-1 CHAPTER J DESIGN OF CONNECTIONS INTRODUCTION Chapter J of the addresses the design and heking of onnetions. The hapter s primary fous is the design of welded and bolted onnetions. Design requirements

More information

SECTION 3 DESIGN OF POST- TENSIONED COMPONENTS FOR FLEXURE

SECTION 3 DESIGN OF POST- TENSIONED COMPONENTS FOR FLEXURE SECTION 3 DESIGN OF POST- TENSIONED COMPONENTS FOR FLEXURE DEVELOPED BY THE PTI EDC-130 EDUCATION COMMITTEE LEAD AUTHOR: TREY HAMILTON, UNIVERSITY OF FLORIDA NOTE: MOMENT DIAGRAM CONVENTION In PT design,

More information

SHAFTS: TORSION LOADING AND DEFORMATION

SHAFTS: TORSION LOADING AND DEFORMATION ECURE hird Edition SHAFS: ORSION OADING AND DEFORMAION A. J. Clark Shool of Engineering Department of Civil and Environmental Engineering 6 Chapter 3.1-3.5 by Dr. Ibrahim A. Assakkaf SPRING 2003 ENES 220

More information

SPECIFICATIONS, LOADS, AND METHODS OF DESIGN

SPECIFICATIONS, LOADS, AND METHODS OF DESIGN CHAPTER Structural Steel Design LRFD Method Third Edition SPECIFICATIONS, LOADS, AND METHODS OF DESIGN A. J. Clark School of Engineering Department of Civil and Environmental Engineering Part II Structural

More information

SECTION 3 DESIGN OF POST TENSIONED COMPONENTS FOR FLEXURE

SECTION 3 DESIGN OF POST TENSIONED COMPONENTS FOR FLEXURE SECTION 3 DESIGN OF POST TENSIONED COMPONENTS FOR FLEXURE DEVELOPED BY THE PTI EDC-130 EDUCATION COMMITTEE LEAD AUTHOR: TREY HAMILTON, UNIVERSITY OF FLORIDA NOTE: MOMENT DIAGRAM CONVENTION In PT design,

More information

SECTION 5 ANALYSIS OF CONTINUOUS SPANS DEVELOPED BY THE PTI EDC-130 EDUCATION COMMITTEE LEAD AUTHOR: BRYAN ALLRED

SECTION 5 ANALYSIS OF CONTINUOUS SPANS DEVELOPED BY THE PTI EDC-130 EDUCATION COMMITTEE LEAD AUTHOR: BRYAN ALLRED SECTION 5 ANALYSIS OF CONTINUOUS SPANS DEVELOPED BY THE PTI EDC-130 EDUCATION COMMITTEE LEAD AUTHOR: BRYAN ALLRED NOTE: MOMENT DIAGRAM CONVENTION In PT design, it is preferable to draw moment diagrams

More information

Reinforced Concrete Design Project Five Story Office Building

Reinforced Concrete Design Project Five Story Office Building Reinforced Concrete Design Project Five Story Office Building Andrew Bartolini December 7, 2012 Designer 1 Partner: Shannon Warchol CE 40270: Reinforced Concrete Design Bartolini 2 Table of Contents Abstract...3

More information

Journal of Engineering Science and Technology Review 6 (5) (2013) 143-148. Research Article

Journal of Engineering Science and Technology Review 6 (5) (2013) 143-148. Research Article Jestr Journal o Engineering Siene and Tehnology Review 6 (5) (13) 143-148 Researh Artile JOURNAL OF Engineering Siene and Tehnology Review www.jestr.org Numerial Analyses on Seismi Behaviour o Conrete-illed

More information

Lecture 8 Bending & Shear Stresses on Beams

Lecture 8 Bending & Shear Stresses on Beams Lecture 8 Bending & hear tresses on Beams Beams are almost always designed on the asis of ending stress and, to a lesser degree, shear stress. Each of these stresses will e discussed in detail as follows.

More information

Chapter - 3 Design of Rectangular Beams and One-way Slabs

Chapter - 3 Design of Rectangular Beams and One-way Slabs Rectangular Beams and One-way Slabs Page 1 of 9 Chapter - 3 Design of Rectangular Beams and One-way Slabs 12 h A 12 strip in a simply supported one-way slab h b=12 L Rectangular Beams and One-way Slabs

More information

16. Beam-and-Slab Design

16. Beam-and-Slab Design ENDP311 Structural Concrete Design 16. Beam-and-Slab Design Beam-and-Slab System How does the slab work? L- beams and T- beams Holding beam and slab together University of Western Australia School of Civil

More information

MATERIALS AND MECHANICS OF BENDING

MATERIALS AND MECHANICS OF BENDING HAPTER Reinforced oncrete Design Fifth Edition MATERIALS AND MEHANIS OF BENDING A. J. lark School of Engineering Department of ivil and Environmental Engineering Part I oncrete Design and Analysis b FALL

More information

DESIGN OF SLABS. Department of Structures and Materials Engineering Faculty of Civil and Environmental Engineering University Tun Hussein Onn Malaysia

DESIGN OF SLABS. Department of Structures and Materials Engineering Faculty of Civil and Environmental Engineering University Tun Hussein Onn Malaysia DESIGN OF SLABS Department of Structures and Materials Engineering Faculty of Civil and Environmental Engineering University Tun Hussein Onn Malaysia Introduction Types of Slab Slabs are plate elements

More information

PRESTRESSED CONCRETE. Introduction REINFORCED CONCRETE CHAPTER SPRING 2004. Reinforced Concrete Design. Fifth Edition. By Dr. Ibrahim.

PRESTRESSED CONCRETE. Introduction REINFORCED CONCRETE CHAPTER SPRING 2004. Reinforced Concrete Design. Fifth Edition. By Dr. Ibrahim. CHAPTER REINFORCED CONCRETE Reinforced Concrete Design A Fundamental Approach - Fifth Edition Fifth Edition PRESTRESSED CONCRETE A. J. Clark School of Engineering Department of Civil and Environmental

More information

Known: long, aluminum cylinder acts as an extended surface.

Known: long, aluminum cylinder acts as an extended surface. Prolem : A long, irular aluminium rod attahed at one end to the heated all and transers heat through onvetion to a old luid. (a) I the diameter o the rod is triples, y ho muh ould the rate o heat removal

More information

Rigid and Braced Frames

Rigid and Braced Frames Rigid Frames Rigid and raced Frames Rigid frames are identified b the lack of pinned joints within the frame. The joints are rigid and resist rotation. The ma be supported b pins or fied supports. The

More information

A transverse strip of the deck is assumed to support the truck axle loads. Shear and fatigue of the reinforcement need not be investigated.

A transverse strip of the deck is assumed to support the truck axle loads. Shear and fatigue of the reinforcement need not be investigated. Design Step 4 Design Step 4.1 DECK SLAB DESIGN In addition to designing the deck for dead and live loads at the strength limit state, the AASHTO-LRFD specifications require checking the deck for vehicular

More information

Reinforced Concrete Design RECTANGULAR R/C CONCRETE BEAMS: TENSION STEEL ONLY

Reinforced Concrete Design RECTANGULAR R/C CONCRETE BEAMS: TENSION STEEL ONLY CHAPTER Reinored Conrete Deign RECTANGULAR R/C CONCRETE BEAMS: TENSION STEEL ONLY Fith Edition A. J. Clrk Shool o Engineering Deprtment o Civil nd Environmentl Engineering Prt I Conrete Deign nd Anli b

More information

Technical Notes 3B - Brick Masonry Section Properties May 1993

Technical Notes 3B - Brick Masonry Section Properties May 1993 Technical Notes 3B - Brick Masonry Section Properties May 1993 Abstract: This Technical Notes is a design aid for the Building Code Requirements for Masonry Structures (ACI 530/ASCE 5/TMS 402-92) and Specifications

More information

PRESTRESSED HOLLOW CORE SLABS ON FLEXIBLE SUPPORT - DESIGN MODELS AND COMPUTATIONAL EXAMPLES

PRESTRESSED HOLLOW CORE SLABS ON FLEXIBLE SUPPORT - DESIGN MODELS AND COMPUTATIONAL EXAMPLES JUNIORSTA 01.1 Conrete and Masonr Strutures PRESTRESSED HOLLOW CORE SLABS ON FLEXIBLE SUPPORT - DESIGN MODELS AND COMPUTATIONAL EXAMPLES Mateusz Surma 1 Astrat The aim o the paper is to ompare design models

More information

Design of FRP Reinforced and Strengthened Concrete

Design of FRP Reinforced and Strengthened Concrete 25 Design o FRP Reinored and Strengthened Conrete Lawrene C. Bank, Ph.D., P.E., FASCE * 25.1 Introdution 25.1 Introdution...25-1 25.2 Design o FRP-Reinored Conrete Memers...25-2 Introdution Properties

More information

REINFORCED CONCRETE STRUCTURE DESIGN ASSISTANT TOOL FOR BEGINNERS. Kang-Kyu Choi

REINFORCED CONCRETE STRUCTURE DESIGN ASSISTANT TOOL FOR BEGINNERS. Kang-Kyu Choi REINFORCED CONCRETE STRUCTURE DESIGN ASSISTANT TOOL FOR BEGINNERS by Kang-Kyu Choi A Thesis Presented to the FACULTY OF THE SCHOOL OF ARCHITECTURE UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment

More information

Type of Force 1 Axial (tension / compression) Shear. 3 Bending 4 Torsion 5 Images 6 Symbol (+ -)

Type of Force 1 Axial (tension / compression) Shear. 3 Bending 4 Torsion 5 Images 6 Symbol (+ -) Cause: external force P Force vs. Stress Effect: internal stress f 05 Force vs. Stress Copyright G G Schierle, 2001-05 press Esc to end, for next, for previous slide 1 Type of Force 1 Axial (tension /

More information

Flexural Strength of Reinforced and Prestressed Concrete T-Beams

Flexural Strength of Reinforced and Prestressed Concrete T-Beams Flexural Strength of Reinforced and Prestressed Concrete T-Beams Richard Brice, P.E. Bridge Software Engineer Bridge & Structures Office Washington State Department of Transportation Olympia, Washington

More information

INTRODUCTION TO BEAMS

INTRODUCTION TO BEAMS CHAPTER Structural Steel Design LRFD etho INTRODUCTION TO BEAS Thir Eition A. J. Clark School of Engineering Department of Civil an Environmental Engineering Part II Structural Steel Design an Analsis

More information

Earthquake Loss for Reinforced Concrete Building Structures Before and After Fire damage

Earthquake Loss for Reinforced Concrete Building Structures Before and After Fire damage Earthquake Loss for Reinfored Conrete Building Strutures Before and After Fire damage Pai-Mei LIU, Yi-Hsuan Tu and Maw-Shyong SHEU 3 ABSTRACT The purpose of this paper is to propose a rational analytial

More information

SUBSTRUCTURE EXAMPLE. Full Height Abutment on Spread Footing

SUBSTRUCTURE EXAMPLE. Full Height Abutment on Spread Footing SUBSTRUCTURE EXAMPLE Full Height Abutment on Spread Footing This example illustrates the design of a full height abutment on spread footings for a single span ast-in-plae post-tensioned onrete box girder

More information

DESIGN OF SLABS. 3) Based on support or boundary condition: Simply supported, Cantilever slab,

DESIGN OF SLABS. 3) Based on support or boundary condition: Simply supported, Cantilever slab, DESIGN OF SLABS Dr. G. P. Chandradhara Professor of Civil Engineering S. J. College of Engineering Mysore 1. GENERAL A slab is a flat two dimensional planar structural element having thickness small compared

More information

Design of reinforced concrete columns. Type of columns. Failure of reinforced concrete columns. Short column. Long column

Design of reinforced concrete columns. Type of columns. Failure of reinforced concrete columns. Short column. Long column Design of reinforced concrete columns Type of columns Failure of reinforced concrete columns Short column Column fails in concrete crushed and bursting. Outward pressure break horizontal ties and bend

More information

Two-Way Post-Tensioned Design

Two-Way Post-Tensioned Design Page 1 of 9 The following example illustrates the design methods presented in ACI 318-05 and IBC 2003. Unless otherwise noted, all referenced table, figure, and equation numbers are from these books. The

More information

RC Detailing to Eurocode 2

RC Detailing to Eurocode 2 RC Detailing to Eurocode 2 Jenny Burridge MA CEng MICE MIStructE Head of Structural Engineering Structural Eurocodes BS EN 1990 (EC0): BS EN 1991 (EC1): Basis of structural design Actions on Structures

More information

BEAMS: SHEAR FLOW, THIN WALLED MEMBERS

BEAMS: SHEAR FLOW, THIN WALLED MEMBERS LECTURE BEAMS: SHEAR FLOW, THN WALLED MEMBERS Third Edition A. J. Clark School of Engineering Department of Civil and Environmental Engineering 15 Chapter 6.6 6.7 by Dr. brahim A. Assakkaf SPRNG 200 ENES

More information

ETABS. Integrated Building Design Software. Concrete Frame Design Manual. Computers and Structures, Inc. Berkeley, California, USA

ETABS. Integrated Building Design Software. Concrete Frame Design Manual. Computers and Structures, Inc. Berkeley, California, USA ETABS Integrated Building Design Software Concrete Frame Design Manual Computers and Structures, Inc. Berkeley, California, USA Version 8 January 2002 Copyright The computer program ETABS and all associated

More information

Design of Steel Structures Prof. S.R.Satish Kumar and Prof. A.R.Santha Kumar. Fig. 7.21 some of the trusses that are used in steel bridges

Design of Steel Structures Prof. S.R.Satish Kumar and Prof. A.R.Santha Kumar. Fig. 7.21 some of the trusses that are used in steel bridges 7.7 Truss bridges Fig. 7.21 some of the trusses that are used in steel bridges Truss Girders, lattice girders or open web girders are efficient and economical structural systems, since the members experience

More information

protection p1ann1ng report

protection p1ann1ng report f1re~~ protetion p1ann1ng report BUILDING CONSTRUCTION INFORMATION FROM THE CONCRETE AND MASONRY INDUSTRIES Signifiane of Fire Ratings for Building Constrution NO. 3 OF A SERIES The use of fire-resistive

More information

Design Approach: 3) Full Sawn: In this case a rough surface is obtained with actual size equal to the nominal size.

Design Approach: 3) Full Sawn: In this case a rough surface is obtained with actual size equal to the nominal size. E 479 Introduction: Sizes of Structural Lumer and Use Text hapter 4 Design Approach: The design of structural wood is carried on the asis of allowale stresses at service load levels. Structural calculations

More information

Research on Virtual Vehicle Driven with Vision

Research on Virtual Vehicle Driven with Vision I.J. Information Tehnolog and Computer Siene, 2011, 4, 29-35 Published Online August 2011 in MECS http://.mes-press.org/) Researh on Virtual Vehile Driven ith Vision Youquan Liu and Yu Cui Shool of Information

More information

Chapter 1: Introduction

Chapter 1: Introduction Chapter 1: Introdution 1.1 Pratial olumn base details in steel strutures 1.1.1 Pratial olumn base details Every struture must transfer vertial and lateral loads to the supports. In some ases, beams or

More information

Design of Members. Rui Simões. Department of Civil Engineering University of Coimbra

Design of Members. Rui Simões. Department of Civil Engineering University of Coimbra Design o embers Rui Simões Department o Civil Engineering Universit o Coimbra Eurocodes Design o steel buildings with worked examples Brussels, 6 7 October 04 Contents Introduction Design o columns Design

More information

SLAB DESIGN EXAMPLE. Deck Design (AASHTO LRFD 9.7.1) TYPICAL SECTION. County: Any Hwy: Any Design: BRG Date: 7/2010

SLAB DESIGN EXAMPLE. Deck Design (AASHTO LRFD 9.7.1) TYPICAL SECTION. County: Any Hwy: Any Design: BRG Date: 7/2010 County: Any Hwy: Any Design: BRG Date: 7/2010 SLAB DESIGN EXAMPLE Design example is in accordance with the AASHTO LRFD Bridge Design Specifications, 5th Ed. (2010) as prescribed by TxDOT Bridge Design

More information

Reinforced Concrete Design

Reinforced Concrete Design FALL 2013 C C Reinforced Concrete Design CIVL 4135 ii 1 Chapter 1. Introduction 1.1. Reading Assignment Chapter 1 Sections 1.1 through 1.8 of text. 1.2. Introduction In the design and analysis of reinforced

More information

Guidelines for the Design of Post-Tensioned Floors

Guidelines for the Design of Post-Tensioned Floors Guidelines for the Design of Post-Tensioned Floors BY BIJAN O. AALAMI AND JENNIFER D. JURGENS his article presents a set of guidelines intended to T assist designers in routine post-tensioning design,

More information

F. P. Beer et al., Meccanica dei solidi, Elementi di scienza delle costruzioni, 5e - isbn 9788838668579, 2014 McGraw-Hill Education (Italy) srl

F. P. Beer et al., Meccanica dei solidi, Elementi di scienza delle costruzioni, 5e - isbn 9788838668579, 2014 McGraw-Hill Education (Italy) srl F. P. Beer et al., eccanica dei solidi, Elementi di scienza delle costruzioni, 5e - isbn 9788888579, 04 cgraw-hill Education (Italy) srl Reactions: Σ = 0: bp = 0 = Pb Σ = 0: ap = 0 = Pa From to B: 0

More information

Page 1 of 18 28.4.2008 Sven Alexander Last revised 1.3.2010. SB-Produksjon STATICAL CALCULATIONS FOR BCC 250

Page 1 of 18 28.4.2008 Sven Alexander Last revised 1.3.2010. SB-Produksjon STATICAL CALCULATIONS FOR BCC 250 Page 1 of 18 CONTENT PART 1 BASIC ASSUMPTIONS PAGE 1.1 General 1. Standards 1.3 Loads 1. Qualities PART ANCHORAGE OF THE UNITS.1 Beam unit equilibrium 3. Beam unit anchorage in front..1 Check of capacity..

More information

Figure A. Maximum load testing of new precast concrete floor plank system

Figure A. Maximum load testing of new precast concrete floor plank system Load Testing of Precast Concrete Plank By Peter Gorgas, E.I.T. Figure A. Maximum load testing of new precast concrete floor plank system Overview Testing was performed in July 2012 at Northeast Precast

More information

Solving Newton s Second Law Problems

Solving Newton s Second Law Problems Solving ewton s Second Law Problems Michael Fowler, Phys 142E Lec 8 Feb 5, 2009 Zero Acceleration Problems: Forces Add to Zero he Law is F ma : the acceleration o a given body is given by the net orce

More information

REINFORCED CONCRETE. Reinforced Concrete Design. A Fundamental Approach - Fifth Edition. Walls are generally used to provide lateral support for:

REINFORCED CONCRETE. Reinforced Concrete Design. A Fundamental Approach - Fifth Edition. Walls are generally used to provide lateral support for: HANDOUT REINFORCED CONCRETE Reinforced Concrete Design A Fundamental Approach - Fifth Edition RETAINING WALLS Fifth Edition A. J. Clark School of Engineering Department of Civil and Environmental Engineering

More information

Statics of Structural Supports

Statics of Structural Supports Statics of Structural Supports TYPES OF FORCES External Forces actions of other bodies on the structure under consideration. Internal Forces forces and couples exerted on a member or portion of the structure

More information

ATINER's Conference Paper Series CIV2015-1710

ATINER's Conference Paper Series CIV2015-1710 ATINER CONFERENCE PAPER SERIES No: LNG2014-1176 Athens Institute for Education and Research ATINER ATINER's Conference Paper Series CIV2015-1710 Optimum Design of Reinforced Concrete Rectangular Columns

More information

6. Fasteners and Fastening methods. Introduction. Fastener types. Fastener application. Screw thread terminology. Screw thread terminology (Fig. 6.

6. Fasteners and Fastening methods. Introduction. Fastener types. Fastener application. Screw thread terminology. Screw thread terminology (Fig. 6. 6. Fasteners and Fastening methods Ojetives Desrie many types of fastening systems and their uses. Understand priniples of stress area, pith diameters, and thread types and forms. Understand different

More information

APE T CFRP Aslan 500

APE T CFRP Aslan 500 Carbon Fiber Reinforced Polymer (CFRP) Tape is used for structural strengthening of concrete, masonry or timber elements using the technique known as Near Surface Mount or NSM strengthening. Use of CFRP

More information

Explanatory Examples on Indian Seismic Code IS 1893 (Part I)

Explanatory Examples on Indian Seismic Code IS 1893 (Part I) Doument No. :: IITK-GSDMA-EQ1-V.0 inal Report :: A - Earthquake Codes IITK-GSDMA Projet on Building Codes Explanatory Examples on Indian Seismi Code IS 1893 (Part I) by Dr. Sudhir K Jain Department of

More information

Structural Axial, Shear and Bending Moments

Structural Axial, Shear and Bending Moments Structural Axial, Shear and Bending Moments Positive Internal Forces Acting Recall from mechanics of materials that the internal forces P (generic axial), V (shear) and M (moment) represent resultants

More information

FOOTING DESIGN EXAMPLE

FOOTING DESIGN EXAMPLE County: Any Design: BRG Date: 10/007 Hwy: Any Ck Dsn: BRG Date: 10/007 FOOTING DESIGN EXAMPLE Design: Based on AASHTO LRFD 007 Specifications, TxDOT LRFD Bridge Design Manual, and TxDOT Project 0-4371

More information

The following excerpt are pages from the North American Product Technical Guide, Volume 2: Anchor Fastening, Edition 16.

The following excerpt are pages from the North American Product Technical Guide, Volume 2: Anchor Fastening, Edition 16. The following exerpt are pages from the North Amerian Produt Tehnial Guide, Volume 2: Anhor Fastening, Edition 16. Please refer to the publiation in its entirety for omplete details on this produt inluding

More information

1997 Uniform Administrative Code Amendment for Earthen Material and Straw Bale Structures Tucson/Pima County, Arizona

1997 Uniform Administrative Code Amendment for Earthen Material and Straw Bale Structures Tucson/Pima County, Arizona for Earthen Material and Straw Bale Structures SECTION 70 - GENERAL "APPENDIX CHAPTER 7 - EARTHEN MATERIAL STRUCTURES 70. Purpose. The purpose of this chapter is to establish minimum standards of safety

More information

Long-term serviceability of the structure Minimal maintenance requirements Economical construction Improved aesthetics and safety considerations

Long-term serviceability of the structure Minimal maintenance requirements Economical construction Improved aesthetics and safety considerations Design Step 7.1 INTEGRAL ABUTMENT DESIGN General considerations and common practices Integral abutments are used to eliminate expansion joints at the end of a bridge. They often result in Jointless Bridges

More information

bi directional loading). Prototype ten story

bi directional loading). Prototype ten story NEESR SG: Behavior, Analysis and Design of Complex Wall Systems The laboratory testing presented here was conducted as part of a larger effort that employed laboratory testing and numerical simulation

More information

Composite Floor System

Composite Floor System Composite Floor System INTRODUCTION This manual has been developed in order to assist you in understanding the Hambro Composite Floor System, and for you to have at your fingertips the information necessary

More information

Stresses in Beam (Basic Topics)

Stresses in Beam (Basic Topics) Chapter 5 Stresses in Beam (Basic Topics) 5.1 Introduction Beam : loads acting transversely to the longitudinal axis the loads create shear forces and bending moments, stresses and strains due to V and

More information

Solid Mechanics. Stress. What you ll learn: Motivation

Solid Mechanics. Stress. What you ll learn: Motivation Solid Mechanics Stress What you ll learn: What is stress? Why stress is important? What are normal and shear stresses? What is strain? Hooke s law (relationship between stress and strain) Stress strain

More information

The Strength of Concrete

The Strength of Concrete Chapter The Strength of Concrete.1 The Importance of Strength.2 Strength Level Required KINDS OF STRENGTH. Compressive Strength.4 Flexural Strength.5 Tensile Strength.6 Shear, Torsion and Combined Stresses.7

More information

Thank you for joining our live webinar today. We will begin shortly. Please standby. Thank you. Need Help? Call ReadyTalk Support: 800.843.

Thank you for joining our live webinar today. We will begin shortly. Please standby. Thank you. Need Help? Call ReadyTalk Support: 800.843. Thank you for joining our live webinar today. We will begin shortly. Please standby. Thank you. Need Help? Call ReadyTalk Support: 800.843.9166 Today s audio will be broadcast through the internet. Alternatively,

More information

International Nursing and Rehab Center Addition 4815 S. Western Blvd. Chicago, IL

International Nursing and Rehab Center Addition 4815 S. Western Blvd. Chicago, IL PROJECT International Nursing and Rehab Center Addition 4815 S. Western Blvd. Chicago, IL EXP. 11/30/2014 STRUCTURAL CALCULATIONS July 24, 2014 BOWMAN, BARRETT & ASSOCIATES INC. CONSULTING ENGINEERS 312.228.0100

More information

Basics of Reinforced Concrete Design

Basics of Reinforced Concrete Design Basics of Reinforced Concrete Design Presented by: Ronald Thornton, P.E. Define several terms related to reinforced concrete design Learn the basic theory behind structural analysis and reinforced concrete

More information

Concrete Design to Eurocode 2

Concrete Design to Eurocode 2 Concrete Design to Eurocode 2 Jenny Burridge MA CEng MICE MIStructE Head of Structural Engineering Introduction to the Eurocodes Eurocode Eurocode 1 Eurocode 2 Materials Cover Flexure Shear Deflection

More information

SEISMIC RETROFITTING OF STRUCTURES

SEISMIC RETROFITTING OF STRUCTURES SEISMIC RETROFITTING OF STRUCTURES RANJITH DISSANAYAKE DEPT. OF CIVIL ENGINEERING, FACULTY OF ENGINEERING, UNIVERSITY OF PERADENIYA, SRI LANKA ABSTRACT Many existing reinforced concrete structures in present

More information

Optimising plate girder design

Optimising plate girder design Optimising plate girder design NSCC29 R. Abspoel 1 1 Division of structural engineering, Delft University of Technology, Delft, The Netherlands ABSTRACT: In the design of steel plate girders a high degree

More information

Index 20010 Series Prestressed Florida-I Beams (Rev. 07/12)

Index 20010 Series Prestressed Florida-I Beams (Rev. 07/12) Index 20010 Series Prestressed Florida-I Beams (Rev. 07/12) Design Criteria AASHTO LRFD Bridge Design Specifications, 6th Edition; Structures Detailing Manual (SDM); Structures Design Guidelines (SDG)

More information

LOAD TESTING FOR BRIDGE RATING: DEAN S MILL OVER HANNACROIS CREEK

LOAD TESTING FOR BRIDGE RATING: DEAN S MILL OVER HANNACROIS CREEK REPORT FHWA/NY/SR-06/147 LOAD TESTING FOR BRIDGE RATING: DEAN S MILL OVER HANNACROIS CREEK OSMAN HAG-ELSAFI JONATHAN KUNIN SPECIAL REPORT 147 TRANSPORTATION RESEARCH AND DEVELOPMENT BUREAU New York State

More information

Design Of Reinforced Concrete Structures ii Two-Way Slabs

Design Of Reinforced Concrete Structures ii Two-Way Slabs 1. Inroduction When the ratio (L/S) is less than 2.0, slab is called two-way slab, as shown in the fig. below. Bending will take place in the two directions in a dish-like form. Accordingly, main reinforcement

More information

Incorporating Innovative Materials for Seismic Resilient Bridge Columns

Incorporating Innovative Materials for Seismic Resilient Bridge Columns Incorporating Innovative Materials for Seismic Resilient Bridge Columns WSDOT Including Contributions from: Dr. M. Saiid Saiidi University Nevada, Reno Brain Nakashoji University Nevada, Reno Presentation

More information

Concrete Frame Design Manual

Concrete Frame Design Manual Concrete Frame Design Manual Turkish TS 500-2000 with Turkish Seismic Code 2007 For SAP2000 ISO SAP093011M26 Rev. 0 Version 15 Berkeley, California, USA October 2011 COPYRIGHT Copyright Computers and Structures,

More information

STRUSOFT EXAMPLES PRE-STRESS 6.4

STRUSOFT EXAMPLES PRE-STRESS 6.4 EXAMPLES PRE-STRESS 6.4 STEP BY STEP EXAMPLES 6.o4.oo5-2o14-o7-o18 Page 1 CONTENTS 1 BASIC CONCEPT 2 1.1 CODES 2 1.2 LAYOUT OF THE PROGRAM 3 1.3 LIMITATIONS IN THE CURRENT VERSION 3 2 EXAMPLES 4 2.1 MODELLING

More information

SEISMIC DESIGN. Various building codes consider the following categories for the analysis and design for earthquake loading:

SEISMIC DESIGN. Various building codes consider the following categories for the analysis and design for earthquake loading: SEISMIC DESIGN Various building codes consider the following categories for the analysis and design for earthquake loading: 1. Seismic Performance Category (SPC), varies from A to E, depending on how the

More information

Deflection Calculation of RC Beams: Finite Element Software Versus Design Code Methods

Deflection Calculation of RC Beams: Finite Element Software Versus Design Code Methods Deflection Calculation of RC Beams: Finite Element Software Versus Design Code Methods G. Kaklauskas, Vilnius Gediminas Technical University, 1223 Vilnius, Lithuania (gintaris.kaklauskas@st.vtu.lt) V.

More information

Reinforced Concrete Slab Design Using the Empirical Method

Reinforced Concrete Slab Design Using the Empirical Method Reinforced Concrete Slab Design Using the Empirical Method BridgeSight Solutions for the AASHTO LRFD Bridge Design Specifications BridgeSight Software TM Creators of effective and reliable solutions for

More information

Steel Design Guide Series. Column Base Plates

Steel Design Guide Series. Column Base Plates Steel Design Guide Series Column Base Plates Steel Design Guide Series Column Base Plates Design of Column Base Plates John T. DeWolf Professor of Civil Engineering University of Connecticut Storrs, Connecticut

More information

60.12. Depend-O-Lok FxE Expansion Coupling. System No. Submitted By Spec Sect Para Location Date Approved Date. DEPEND-O-LOK FxE EXPANSION COUPLING

60.12. Depend-O-Lok FxE Expansion Coupling. System No. Submitted By Spec Sect Para Location Date Approved Date. DEPEND-O-LOK FxE EXPANSION COUPLING 60.1 D-O-L FxE expansion couplings are a bolted, split-sleeve design that provides for expansion and contraction at the coupled joint. These couplings are furnished with restraint rings that, when affixed

More information

Designing a Structural Steel Beam. Kristen M. Lechner

Designing a Structural Steel Beam. Kristen M. Lechner Designing a Structural Steel Beam Kristen M. Lechner November 3, 2009 1 Introduction Have you ever looked at a building under construction and wondered how the structure was designed? What assumptions

More information

SLAB DESIGN. Introduction ACI318 Code provides two design procedures for slab systems:

SLAB DESIGN. Introduction ACI318 Code provides two design procedures for slab systems: Reading Assignment SLAB DESIGN Chapter 9 of Text and, Chapter 13 of ACI318-02 Introduction ACI318 Code provides two design procedures for slab systems: 13.6.1 Direct Design Method (DDM) For slab systems

More information

Impact Simulation of Extreme Wind Generated Missiles on Radioactive Waste Storage Facilities

Impact Simulation of Extreme Wind Generated Missiles on Radioactive Waste Storage Facilities Impat Simulation of Extreme Wind Generated issiles on Radioative Waste Storage Failities G. Barbella Sogin S.p.A. Via Torino 6 00184 Rome (Italy), barbella@sogin.it Abstrat: The strutural design of temporary

More information

The following sketches show the plans of the two cases of one-way slabs. The spanning direction in each case is shown by the double headed arrow.

The following sketches show the plans of the two cases of one-way slabs. The spanning direction in each case is shown by the double headed arrow. 9.2 One-way Slabs This section covers the following topics. Introduction Analysis and Design 9.2.1 Introduction Slabs are an important structural component where prestressing is applied. With increase

More information

3 Game Theory: Basic Concepts

3 Game Theory: Basic Concepts 3 Game Theory: Basi Conepts Eah disipline of the soial sienes rules omfortably ithin its on hosen domain: : : so long as it stays largely oblivious of the others. Edard O. Wilson (1998):191 3.1 and and

More information

4B-2. 2. The stiffness of the floor and roof diaphragms. 3. The relative flexural and shear stiffness of the shear walls and of connections.

4B-2. 2. The stiffness of the floor and roof diaphragms. 3. The relative flexural and shear stiffness of the shear walls and of connections. Shear Walls Buildings that use shear walls as the lateral force-resisting system can be designed to provide a safe, serviceable, and economical solution for wind and earthquake resistance. Shear walls

More information

Seismic design of beam-column joints in RC moment resisting frames Review of codes

Seismic design of beam-column joints in RC moment resisting frames Review of codes Structural Engineering and Mechanics, Vol. 23, No. 5 (2006) 579-597 579 Technical Report Seismic design of beam-column joints in RC moment resisting frames Review of codes S. R. Uma Department of Civil

More information

IMPROVING THE STRUT AND TIE METHOD BY INCLUDING THE CONCRETE SOFTENING EFFECT

IMPROVING THE STRUT AND TIE METHOD BY INCLUDING THE CONCRETE SOFTENING EFFECT International Journal of Civil Engineering and Technology (IJCIET) Volume 7, Issue 2, March-April 2016, pp. 117 127, Article ID: IJCIET_07_02_009 Available online at http://www.iaeme.com/ijciet/issues.asp?jtype=ijciet&vtype=7&itype=2

More information

Field Damage Inspection and Static Load Test Analysis of Jiamusi Highway Prestressed Concrete Bridge in China

Field Damage Inspection and Static Load Test Analysis of Jiamusi Highway Prestressed Concrete Bridge in China Advanced Materials Research Vols. 163-167 (2011) pp 1147-1156 Online available since 2010/Dec/06 at www.scientific.net (2011) Trans Tech Publications, Switzerland doi:10.4028/www.scientific.net/amr.163-167.1147

More information

Assistant Professor of Civil Engineering, University of Texas at Arlington

Assistant Professor of Civil Engineering, University of Texas at Arlington FRC Performance Comparison: Direct Tensile Test, Beam Type Bending Test, and Round Panel Test Shih Ho Chao (Presenting Author) Assistant Professor of Civil Engineering, University of Texas at Arlington

More information

Compression Members: Structural elements that are subjected to axial compressive forces

Compression Members: Structural elements that are subjected to axial compressive forces CHAPTER 3. COMPRESSION MEMBER DESIGN 3.1 INTRODUCTORY CONCEPTS Compression Members: Structural elements that are subjected to axial compressive forces onl are called columns. Columns are subjected to axial

More information

Optimum proportions for the design of suspension bridge

Optimum proportions for the design of suspension bridge Journal of Civil Engineering (IEB), 34 (1) (26) 1-14 Optimum proportions for the design of suspension bridge Tanvir Manzur and Alamgir Habib Department of Civil Engineering Bangladesh University of Engineering

More information

SEISMIC UPGRADE OF OAK STREET BRIDGE WITH GFRP

SEISMIC UPGRADE OF OAK STREET BRIDGE WITH GFRP 13 th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 1-6, 2004 Paper No. 3279 SEISMIC UPGRADE OF OAK STREET BRIDGE WITH GFRP Yuming DING 1, Bruce HAMERSLEY 2 SUMMARY Vancouver

More information

[TECHNICAL REPORT I:]

[TECHNICAL REPORT I:] [Helios Plaza] Houston, Texas Structural Option Adviser: Dr. Linda Hanagan [TECHNICAL REPORT I:] Structural Concepts & Existing Conditions Table of Contents Executive Summary... 2 Introduction... 3 Structural

More information

Session 5D: Benefits of Live Load Testing and Finite Element Modeling in Rating Bridges

Session 5D: Benefits of Live Load Testing and Finite Element Modeling in Rating Bridges Session 5D: Benefits of Live Load Testing and Finite Element Modeling in Rating Bridges Douglas R. Heath P.E., Structural Engineer Corey Richard P.E., Project Manager AECOM Overview Bridge Testing/Rating

More information

Hilti KWIK HUS-EZ I (KH-EZ I) Internally Threaded Carbon Steel Screw Anchor

Hilti KWIK HUS-EZ I (KH-EZ I) Internally Threaded Carbon Steel Screw Anchor Hilti KWIK HUS-EZ I (KH-EZ I) Internally Threaded Carbon Steel Screw Anchor Supplement to Hilti North American Product Technical Guide Volume 2: Anchor Fastening Technical Guide 2011 Edition 3.3. KWIK

More information

In-situ Load Testing to Evaluate New Repair Techniques

In-situ Load Testing to Evaluate New Repair Techniques In-situ Load Testing to Evaluate New Repair Techniques W.J. Gold 1 and A. Nanni 2 1 Assistant Research Engineer, Univ. of Missouri Rolla, Dept. of Civil Engineering 2 V&M Jones Professor, Univ. of Missouri

More information