REINFORCED CONCRETE BEAMS: T-BEAMS AND DOUBLY REINFORCED BEAMS
|
|
- Norman Roberts
- 8 years ago
- Views:
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-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 informationFig. 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 informationIn 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 informationINTRODUCTION 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 informationCHAPTER 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 informationSECTION 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 informationSHAFTS: 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 informationSPECIFICATIONS, 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 informationSECTION 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 informationSECTION 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 informationReinforced 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 informationJournal 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 informationLecture 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 informationChapter - 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 information16. 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 informationMATERIALS 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 informationDESIGN 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 informationPRESTRESSED 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 informationKnown: 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 informationRigid 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 informationA 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 informationReinforced 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 informationTechnical 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 informationPRESTRESSED 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 informationDesign 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 informationREINFORCED 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 informationType 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 informationFlexural 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 informationINTRODUCTION 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 informationEarthquake 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 informationSUBSTRUCTURE 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 informationDESIGN 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 informationDesign 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 informationTwo-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 informationRC 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 informationBEAMS: 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 informationETABS. 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 informationDesign 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 informationprotection 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 informationDesign 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 informationResearch 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 informationChapter 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 informationDesign 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 informationSLAB 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 informationReinforced 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 informationGuidelines 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 informationF. 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 informationPage 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 informationFigure 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 informationSolving 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 informationREINFORCED 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 informationStatics 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 informationATINER'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 information6. 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 informationAPE 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 informationExplanatory 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 informationStructural 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 informationFOOTING 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 informationThe 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 information1997 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 informationLong-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 informationbi 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 informationComposite 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 informationStresses 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 informationSolid 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 informationThe 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 informationThank 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 informationInternational 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 informationBasics 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 informationConcrete 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 informationSEISMIC 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 informationOptimising 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 informationIndex 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 informationLOAD 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 informationDesign 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 informationIncorporating 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 informationConcrete 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 informationSTRUSOFT 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 informationSEISMIC 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 informationDeflection 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 informationReinforced 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 informationSteel 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 information60.12. 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 informationDesigning 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 informationSLAB 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 informationImpact 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 informationThe 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 information3 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 information4B-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 informationSeismic 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 informationIMPROVING 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 informationField 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 informationAssistant 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 informationCompression 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 informationOptimum 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 informationSEISMIC 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:]
[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 informationSession 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 informationHilti 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 informationIn-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