Distribution of Forces in Lateral Load Resisting Systems


 Scot Moody
 1 years ago
 Views:
Transcription
1 Distribution of Forces in Lateral Load Resisting Systems Part 2. Horizontal Distribution and Torsion IITGN Short Course Gregory MacRae Many slides from 2009 Myanmar Slides of Profs Jain and Rai 1
2 Reinforced Concrete CastinSitu Slabs The slab is subject to horizontal load. b t Moment of inertial for bending in its own plane I 3 tb 12 ( Very large quantity!!) Practically, floor is infinitely stiff for bending deformation in its own plane. 2
3 Floor Diaphragm Action L L b /2 Plan of a onestorey building with shear walls Springs represent lateral stiffness walls / frames t = floor thicness; width of the beam representing floor diaphragm b = floor width; depth of the beam representing floor diaphragm L = span of the beam representing floor diaphragm 3
4 Floor Diaphragm Action Lateral earthquae force, EL Beam representing floor diaphragm I beam = tb 3 /12 K K/2 K Vertical load analogy for floor diaphragm action 4
5 Inplane versus outofplane deformation of floor In Plane Force Out of Plane Force In Plane Deformation of Floor Out of Plane Deformation of Floor 5
6 Floor Deformations InPlane Floor Deformation Out of Plane Floor Deformation 6
7 Rigidbody movements of a rigid floor diaphragm Longitudinal Translation Transverse Translation Translation in xdirection Translation in ydirection Angle of rotation Resultant Translation Rotation about zaxis Combination of translations and rotation 7
8 Example 1: Effect of floor diaphragm action 20 m 20 m 0.2 8m Slab thicness = 150 mm E = 25,500 N/mm 2 = N/mm I diaphragm mm I N 1000 N 0.2 E I Force in Springs Actual Analysis Rigid Diaphragm Tributary Area Rigid Diaphragm Assumption is generally used for RC floors 8
9 Example 2: Centre of Mass Given floor plan and lumped masses per unit area Locate centre of mass of the floor 8m 5 m 1000 g/m 2 Force in Springs 700 g/m 2 10 m 30 m y A CM (A) C CM F B Force CM (B) in Springs X CM (C) y z 9
10 Example 2: Centre of Mass Locate centre of mass of segments A, B, C as: CM(A) = (4.0, 7.5); CM (B) = (4.0, 2.5); CM(C) = (19.0, 5.0) Calculate centre of mass of floor x, y as x y m x i m m y i i m i i i 14.4 m 5.1 m 10
11 Centre of Stiffness (of a Singlestorey Building) Point on the floor through which a lateral load should pass in order to have only rigid body translation (i.e., no rigid body rotation). Use the above definition to locate the centre of stiffness. Example: A 10m m B 14 m 11
12 Example 3. Centre of Stiffness X F Force equilibrium: F Moment equilibrium: F. x x m 52 12
13 Example 3. Centre of Stiffness y F Force equilibrium: Moment equilibrium: F F. y y 5.6m
14 Lateral load distribution due to rigid floor diaphragm (Symmetrical case no torsion) Wall stiffness 1 = 2 =0.3 EL Building Plan 3 = F F 1 F 2 F 3 Wall stiffness F EL Definition of lateral stiffness F1 1, F2 2, F3 3 F1 F2 F3 EL 1 2 F1 EL; F2 EL; F EL 14
15 Example 4: 200 N applied along ydirection y 4 10m m x 30 m Locate centre of stiffness : (15m, 5m) Locate centre of mass : (15m, 5m) Hence, no torsion The centre of stiffness (CS) is at the centre of the building. If the centre of mass is also here then the building undergoes translation but no torsion Wall 1, 2, 3 share load proportional to stiffness F N; F N F N 15
16 Eccentric Systems Load at centre of mass = Load at centre of stiffness + Twisting moment about the centre of stiffness e CM CS EL EL e.el CM CS EL EL M = e.el CS CM 16
17 Analysis of force induced by twisting moment (rigid floor diaphragm) r 1 r 3 r 5 r r 5 1 CS r 4 3 r 2 2 r 2 r 1 i = Lateral stiffness of the i th element r i = Perpendicular distance of the i th element from centre of stiffness = Rotation of the floor diaphragm in its own plane 17
18 Analysis of force induced by twisting moment (rigid floor diaphragm) Displacement of i th element, in its own plane, due to rotation about centre stiffness i r i Resisting force in i th element F i i r i Restoring moment by force in i th element M i Fr i i i r 2 i By moment equilibrium M t i r 2 i Force in the i th element r i i Fi 2 iri M t 18
19 Example 5: Load distribution in eccentric system y 17.33m m 10m m m (a) Walls 1.5 x 5.56m 5m CS CM e x =2.33m (b) CS and CM e y =0.56m CM 200N = CM 466Nm = 200Nx 2.33m CS 200N (c) Forces F F 1 F 2 CS F 3 CM 5 200N Nm F F 1 2 CS F 3 CM 5 F 5 Translational Forces (d) Torsional Forces
20 Example 5: Load distribution in eccentric system Analysis for 200 N force acting at centre of stiffness This force is resisted by walls 1, 2, and 3 in proportion to their lateral stiffness. This gives: 200 F F F Analysis for 466 Nm moment acting on the diaphragm at CS: N N The twisting moment of 466 Nm is resisted by all the walls (including walls 4 and 5). N 20
21 Example 5: Load distribution in eccentric system Wall i ri 2 iri i r i i i F1 2 iri r M t 613.3
22 Example 5: Load distribution in eccentric system F 1 F 2 CS F 3 CM 5 200N + F Nm F F 1 2 CS F 3 CM 5 F 5 Translational Forces The total force resisted by the walls (= translational force + torsional force): F 1 = = 79.9 N F 2 = = 34.6 N F 3 = = 85.6 N F 4 = 5.1 N = 5.1 N F 5 = 5.1 N = 5.1 KN Torsional Forces F F F 1 2 CS F 3 CM 5 F 5 Total Forces 22
23 Multistorey Frames (a) Without Torsion All frames must follow through the same displacements at each level. F 4 F 3 F 2 (CS) i (CS) i (b) With Torsion All frame displacements at each level must be compatible with level translational and torsional displacements. F 1 (CS) i None of the floors undergo any rotation as forces pass through the CS (i.e. CS = CM)
24 Important: Multistorey Frames First calculate lateral load at different floors for the entire building Then distribute to different frames/walls as per floor diaphragm behavior Do Not Calculate seismic design force directly for individual frames of the building 24
25 Multistorey Frames A B C D 1 y x Plan 2 3 Plan of a building with space frame: this may be thought of as four 2bay frames in the ydirection, and three 3bay frames in the xdirection 25
26 Example 6: 3storey symmetric building Missing column Symmetric system A B C Plan Frames 1&3 same Frame spacing same Design force in ydirection on the entire building The requirement is: (a) Displacement in frames 1, 2 & 3 are equal at floor 1. (b) Displacement in frames 1, 2 & 3 are equal at floor 2. (c) Displacement in frames 1, 2 & 3 are equal at floor 3. 26
27 Example 6: 3storey symmetric building Frame A Frame B Frame C Impose the conditions This will ensure proper load distribution. 27
28 Example 6: 3storey symmetric building Thin of the translational problem as: Imaginary rigid lins to ensure floor diaphragm action Simple calculate the member forces 28
29 2D Frame with Rigid Lines A B C D E 1 Direction of Earthquae force (a) Lin bars Frame 1 Frame 2 Frame 3 Frame
30 Approximate Lateral Load Distribution Exact distribution requires computer analysis How do we carry out approximate hand calculations for buildings up to 4 stories without torsion? Assume that all 2D frames have same displacement profile (shape only) for lateral loads Now match roof displacement only If assumption is exactly valid, analysis will still be exact 30
31 Example 7. Approximate Distribution, No Torsion A B C Plan Design force in ydirection on the entire building A B C 31
32 Example 7. Approximate Distribution, No Torsion A B C units 100 units 50 units i units Building Frames A and C f f A B A B f f f f 0.25f 0.50 f f C C f f 0.25f Frame B 32
33 Example 7. Approximate Distribution, No Torsion (No Torsion Case) Plan A B C EQ Entire Building A B C Evaluate,, such that roof displacement is same + + =
34 Example 8. Approximate Distribution, No Torsion Illustration Parts of building in double height Symmetric Portion in double height Plan Elevation
35 Further Simplification For load distribution, relative lateral stiffness is needed Relative terms only are required 35
36 Approximate Lateral Load Stiffness of Frames Number of approximate methods, e.g., McLeod s Method Computer methods for analysing frames Caution Do not believe in storey stiffness as This assumes beams are infinitely rigid! Never happens 12EI!! 3 L 36
37 Torsion in Multistory Buildings Centre of stiffness at different floors Number of definitions Depends on usage Implementation 37
38 Centre of Stiffness for multistory buildings (CS) i F 3 F 3 F 2 (CS) i F 2 F 1 F 1 (CS) i None of the floors undergo any rotation Design lateral load profile 38
39 Torsion in Multistory Buildings... e x.cs.cm e y CM = centre of mass CS = centre of stiffness.cs.cm 1.5e y EL x.cm.cs 1.5e x EL y The requirement on design eccentricity can be fulfilled by applying earthquae force away from centre of mass by a distance 0.5 times the calculated eccentricity, such that eccentricity between centre of stiffness and the load becomes 1.5 times the calculated. 39
40 Torsion in Multistory Buildings Typical building code specifies design eccentricity in terms of Static eccentricity e sj Accidental eccentricity b j Q1 b j e dj e e sj sj b b j j is typically 1.5 is typically 0.05 to 1.0 (5% to 10% of plan dimension b j ) Q2 Q3 Q4 40
41 Torsion in Multistory Buildings... CM CS Goel and Chopra (ASCE, Vol.119; No:10) Can Conduct Analyses Directly Using Computer Program with Rigid Diaphragm (e.g. ETABS) 41
42 Approximation in Torsion Calculations For buildings generally uniform with height Centre of stiffness for different floors on the same vertical line Treatment similar to that for single storey building Example: Earthquae force in Xdirection 6m 3m 4m All columns 400x400 Exterior Beams 250x600 Interior Beams 300x m 4.5m 4.5m 4.5m 42
43 Example 9. Approx. Analysis Torsion Earthquae force in Xdirection 6m 3m 4m A B 141 C 48 D 4.5m 4.5m 4.5m 4.5m All columns 400x400 Exterior Beams 250x600 Interior Beams 300x450 43
44 Example 9. Approx. Analysis Torsion P P y A B D C 16, 220N / m 10390, N / m 10390, , , 6. 1m 16, Eccentricity e = = 0.4m Design eccentricity = 1.5e = 0.6m (Dynamic eccentricity) Design force profile V acting at CM = Force profile V at CS + Twisting moment profile (M t = 0.6m x V) 44
45 Example 9. Approx. Analysis Torsion Force profile V at CS Frames A, D = Frames B, C = 16, 220 V 53, , 390 V 53, V V Twisting moment profile Mt i r i j r 2 j M t 45
46 Example 9. Approx. Analysis Torsion Frame i (x 10 3 ) (N/m) r i (m) i r i (x 10 3 ) (N) i r i 2 (x 10 3 ) Fd (torsion) Fd (Direct) FTO (Total) A V 0.304V 0.321V B V 0.195V 0.196V C V 0.195V 0.195V D V 0.304V 0.288V V V V V i r i i r i 2 From frame analysis with point load at roof Dist from CS 46
47 Example 9. Approx. Analysis Torsion Level Total Level Design Force (N) A (N) Design Force For Frame B (N) C (N) D (N) From beginning of example 47
48 Than you!! 48
4B2. 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 forceresisting system can be designed to provide a safe, serviceable, and economical solution for wind and earthquake resistance. Shear walls
More informationMiss S. S. Nibhorkar 1 1 M. E (Structure) Scholar,
Volume, Special Issue, ICSTSD Behaviour of Steel Bracing as a Global Retrofitting Technique Miss S. S. Nibhorkar M. E (Structure) Scholar, Civil Engineering Department, G. H. Raisoni College of Engineering
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 informationSLAB DESIGN. Introduction ACI318 Code provides two design procedures for slab systems:
Reading Assignment SLAB DESIGN Chapter 9 of Text and, Chapter 13 of ACI31802 Introduction ACI318 Code provides two design procedures for slab systems: 13.6.1 Direct Design Method (DDM) For slab systems
More informationNovember 20, 2013. Heather Sustersic had132@psu.edu. Dear Professor Sustersic,
November 20, 2013 Heather Sustersic had132@psu.edu Dear Professor Sustersic, The following technical report was written to fulfill the requirements specified in the Structural Technical Report 4 assignment
More informationEFFECT OF POSITIONING OF RC SHEAR WALLS OF DIFFERENT SHAPES ON SEISMIC PERFORMANCE OF BUILDING RESTING ON SLOPING GROUND
International Journal of Civil Engineering and Technology (IJCIET) Volume 7, Issue 3, May June 2016, pp. 373 384, Article ID: IJCIET_07_03_038 Available online at http://www.iaeme.com/ijciet/issues.asp?jtype=ijciet&vtype=7&itype=3
More informationSEISMIC CODE EVALUATION. MEXICO Evaluation conducted by Jorge Gutiérrez
SEISMIC CODE EVALUATION MEXICO Evaluation conducted by Jorge Gutiérrez NAME OF DOCUMENT: Normas Técnicas Complementarias para Diseño por Sismo ( Complementary Technical Norms for Earthquake Resistant Design
More informationDesigner s NOTEBOOK BLAST CONSIDERATIONS
Designer s NOTEBOOK BLAST CONSIDERATIONS For a surface blast, the most directly affected building elements are the façade and structural members on the lower four stories. Although the walls can be designed
More information9.3 Twoway Slabs (Part I)
9.3 Twoway Slabs (Part I) This section covers the following topics. Introduction Analysis and Design Features in Modeling and Analysis Distribution of Moments to Strips 9.3.1 Introduction The slabs are
More informationDesign Example 1 Reinforced Concrete Wall
Design Example 1 Reinforced Concrete Wall OVERVIEW The structure in this design example is an eightstory office with loadbearing reinforced concrete walls as its seismicforceresisting system. This
More informationMETHODS FOR ACHIEVEMENT UNIFORM STRESSES DISTRIBUTION UNDER THE FOUNDATION
International Journal of Civil Engineering and Technology (IJCIET) Volume 7, Issue 2, MarchApril 2016, pp. 4566, Article ID: IJCIET_07_02_004 Available online at http://www.iaeme.com/ijciet/issues.asp?jtype=ijciet&vtype=7&itype=2
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 informationMECHANICAL BEHAVIOR OF REINFORCED CONCRETE BEAMCOLUMN ASSEMBLAGES WITH ECCENTRICITY
13 th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 16, 2004 Paper No. 4 MECHANICAL BEHAVIOR OF REINFORCED CONCRETE BEAMCOLUMN ASSEMBLAGES WITH ECCENTRICITY Tomohiko KAMIMURA
More informationSeismic performance evaluation of an existing school building in Turkey
CHALLENGE JOURNAL OF STRUCTURAL MECHANICS 1 (4) (2015) 161 167 Seismic performance evaluation of an existing school building in Turkey Hüseyin Bilgin * Department of Civil Engineering, Epoka University,
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 40292) and Specifications
More informationInfluence of Torsional Irregularities of RC Buildings in High Seismic Zone
AENSI Journals Australian Journal of Basic and Applied Sciences Journal home page: www.ajbasweb.com Influence of Torsional Irregularities of RC Buildings in High Seismic Zone 1 Amin Alavi, 2 Prof. P.Srinivasa
More informationNew approaches in Eurocode 3 efficient global structural design
New approaches in Eurocode 3 efficient global structural design Part 1: 3D model based analysis using general beamcolumn FEM Ferenc Papp* and József Szalai ** * Associate Professor, Department of Structural
More informationSeismic Risk Prioritization of RC Public Buildings
Seismic Risk Prioritization of RC Public Buildings In Turkey H. Sucuoğlu & A. Yakut Middle East Technical University, Ankara, Turkey J. Kubin & A. Özmen Prota Inc, Ankara, Turkey SUMMARY Over the past
More informationAluminium systems profile selection
Aluminium systems profile selection The purpose of this document is to summarise the way that aluminium profile selection should be made, based on the strength requirements for each application. Curtain
More informationEXAMPLE CALCULATIONS to the Requirements of BC3: 2013
EXAMPLE CALCULATIONS to the Requirements of BC3: 2013 NOTE 1. Whilst every effort has been made to ensure accuracy of the information contained in this design guide, the Building and Construction Authority
More informationIntroduction. What Will You Gain From This Presentation? Benefits of Structural Steel
Introduction This presentation was developed as a teaching aid with the support of the American Institute of Steel Construction. Its objective is to provide technical background and information for connections
More informationWhen a user chooses to model the surface component using plate elements, he/she is taking on the responsibility of meshing.
Concrete slab Design: Yes, you can design the concrete slab using STAAD, with plate elements and meshing it appropriately. But it is best practice to take the analysis results from the STAAD and do the
More informationOptimum proportions for the design of suspension bridge
Journal of Civil Engineering (IEB), 34 (1) (26) 114 Optimum proportions for the design of suspension bridge Tanvir Manzur and Alamgir Habib Department of Civil Engineering Bangladesh University of Engineering
More informationSpecification for Structures to be Built in Disaster Areas
Ministry of Public Works and Settlement Government of Republic of Turkey Specification for Structures to be Built in Disaster Areas PART III  EARTHQUAKE DISASTER PREVENTION (Chapter 5 through Chapter
More informationAppendix : According to IBC 2003, table , the minimum uniformly distributed live loads and minimum concentrated live loads are as follow:
Appendix Dead and Live Loads International Building Code 2003 (IBC) 1607.1: According to IBC 2003, table 1607.1, the minimum uniformly distributed live loads and minimum concentrated live loads are as
More informationDetailing of Reinforcment in Concrete Structures
Chapter 8 Detailing of Reinforcment in Concrete Structures 8.1 Scope Provisions of Sec. 8.1 and 8.2 of Chapter 8 shall apply for detailing of reinforcement in reinforced concrete members, in general. For
More informationChapter 9 CONCRETE STRUCTURE DESIGN REQUIREMENTS
Chapter 9 CONCRETE STRUCTURE DESIGN REQUIREMENTS 9.1 GENERAL 9.1.1 Scope. The quality and testing of concrete and steel (reinforcing and anchoring) materials and the design and construction of concrete
More informationCHAPTER 9 MULTIDEGREEOFFREEDOM SYSTEMS Equations of Motion, Problem Statement, and Solution Methods
CHAPTER 9 MULTIDEGREEOFFREEDOM SYSTEMS Equations of Motion, Problem Statement, and Solution Methods Twostory shear building A shear building is the building whose floor systems are rigid in flexure
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 informationImproving FE models of a longspan flat concrete floor using natural frequency measurements
Computers and Structures 80 (2002) 2145 2156 www.elsevier.com/locate/compstruc Improving FE models of a longspan flat concrete floor using natural frequency measurements Emad ElDardiry a, Endah Wahyuni
More informationSeismic retrofit of nonductile concrete and masonry walls by steelstrips
Seismic retrofit of nonductile concrete and masonry walls by steelstrips bracing Mustafa Taghdi, Michel Bruneau, & Murat Saatcioglu Ottawa Carleton Earthquake Engineering Research Centre Department of
More informationSeismic Design of Hillside Light Timber Frame Buildings
Seismic Design of Hillside Light Timber Frame Buildings A. Liu BRANZ, New Zealand SUMMARY: The study reported here examined the critical seismic engineering issues associated with hillside light timber
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 informationModule 3. Analysis of Statically Indeterminate Structures by the Displacement Method. Version 2 CE IIT, Kharagpur
odule 3 Analysis of Statically Indeterminate Structures by the Displacement ethod Lesson 21 The oment Distribution ethod: rames with Sidesway Instructional Objectives After reading this chapter the student
More informationEDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1  LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS
EDEXCEL NATIONAL CERTIICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQ LEVEL 3 OUTCOME 1  LOADING SYSTEMS TUTORIAL 3 LOADED COMPONENTS 1. Be able to determine the effects of loading in static engineering
More informationEVALUATION OF SEISMIC RESPONSE  FACULTY OF LAND RECLAMATION AND ENVIRONMENTAL ENGINEERING BUCHAREST
EVALUATION OF SEISMIC RESPONSE  FACULTY OF LAND RECLAMATION AND ENVIRONMENTAL ENGINEERING BUCHAREST Abstract Camelia SLAVE University of Agronomic Sciences and Veterinary Medicine of Bucharest, 59 Marasti
More informationSEISMIC ANALYSIS OF GROUND SUPPORTED WATER TANK WITH DIFFERENT ASPECT RATIOS
SEISMIC ANALYSIS OF GROUND SUPPORTED WATER TANK WITH DIFFERENT ASPECT RATIOS Kalyani Vanjari 1, Dr.Prof.R.S.Talikoti 2 1 PG Student, Department of Civil Engineering, Late G.N.Sapkal College of Engineering,
More informationStructural Analysis. EUROCODE 2 Background and Applications
Dissemination of information for training Brussels, 2021 October 2011 1 Prof. Dr.Ing. Manfred Curbach TU Dresden, Institute for Concrete Structures M.Sc. Martin Just TU Dresden, Institute for Concrete
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 informationCHAPTER 1 INTRODUCTION
CHAPTER 1 INTRODUCTION 1.1 Background of the research Beam is a main element in structural system. It is horizontal member that carries load through bending (flexure) action. Therefore, beam will deflect
More informationExpected Performance Rating System
Expected Performance Rating System In researching seismic rating systems to determine how to best classify the facilities within the Portland Public School system, we searched out what was used by other
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 informationOptimum Angle of Diagrid Structural System
International Journal of Engineering and Technical Research (IJETR) ISSN: 219, Volume2, Issue, June 21 Optimum Angle of Diagrid Structural System Nishith B. Panchal, Dr. V. R. Patel, Dr. I. I. Pandya
More informationNonlinear behavior and seismic safety of reinforced concrete structures
Nonlinear behavior and seismic safety of reinforced concrete structures K. Girgin & E. Oer Istanbul Technical University, Faculty of Civil Engineering, Istanbul, Turkey Keywords: Reinforced concrete structures,
More informationM x (a) (b) (c) Figure 2: Lateral Buckling The positions of the beam shown in Figures 2a and 2b should be considered as two possible equilibrium posit
Lateral Stability of a Slender Cantilever Beam With End Load Erik Thompson Consider the slender cantilever beam with an end load shown in Figure 1. The bending moment at any crosssection is in the xdirection.
More informationBasis of Structural Design
Basis of Structural Design Course 5 Structural action:  Cable structures  Multistorey structures Course notes are available for download at http://www.ct.upt.ro/users/aurelstratan/ Cable structures
More informationSeismic Rehabilitation of Les Jardins Westmount, Montreal (Quebec), Canada
Seismic Rehabilitation of Les Jardins Westmount, Montreal (Quebec), Canada M. Zarrabi & R. Bartosh BCA Consultants, Montreal, Quebec, Canada A. Pall Pall Dynamics Limited, Montreal, Canada SUMMARY The
More informationSince the Steel Joist Institute
SELECTING and SPECIFYING Wesley B. Myers, P.E. An insider s guide to selecting and specifying Kseries, LH, DLHseries joists and joist girders Since the Steel Joist Institute adopted the first standard
More informationStrength of Materials Prof: S.K.Bhattacharya Dept of Civil Engineering, IIT, Kharagpur Lecture no 23 Bending of Beams II
Strength of Materials Prof: S.K.Bhattacharya Dept of Civil Engineering, IIT, Kharagpur Lecture no 23 Bending of Beams II Welcome to the second lesson of the fifth module which is on Bending of Beams part
More informationFOUNDATION DESIGN. Instructional Materials Complementing FEMA 451, Design Examples
FOUNDATION DESIGN Proportioning elements for: Transfer of seismic forces Strength and stiffness Shallow and deep foundations Elastic and plastic analysis Foundation Design 141 Load Path and Transfer to
More informationChapter 4 FLOOR CONSTRUCTION
Chapter 4 FLOOR CONSTRUCTION Woodframe floor systems and concrete slabongrade floors are discussed in this chapter. Although coldformed steel framing for floor systems also is permitted by the IRC,
More information8.2 Elastic Strain Energy
Section 8. 8. Elastic Strain Energy The strain energy stored in an elastic material upon deformation is calculated below for a number of different geometries and loading conditions. These expressions for
More informationControl of Seismic Drift Demand for Reinforced Concrete Buildings with Weak First Stories
Earthquake Yoshimura: Engineering Control and of Engineering Seismic Drift Seismology Demand for Reinforced Concrete Buildings with Weak First Stories 7 Volume 4, Number, September 3, pp. 7 3 Control of
More informationIntroduction to Beam. Area Moments of Inertia, Deflection, and Volumes of Beams
Introduction to Beam Theory Area Moments of Inertia, Deflection, and Volumes of Beams Horizontal structural member used to support horizontal loads such as floors, roofs, and decks. Types of beam loads
More informationProblems of seismic design of the cladding panels of precast buildings
Problems of seismic design of the cladding panels of precast buildings A. Colombo Assobeton, Milan, Italy G. Toniolo Politecnico di Milano, Italy 2012 NZSEE Conference ABSTRACT: Following the lesson learned
More informationOriginal Publication: International Journal of HighRise Buildings Volume 5 Number 1
ctbuh.org/papers Title: Authors: Subject: Keywords: Highrise Reinforcedconcrete Building Incorporating an Oil Damper in an Outrigger Frame Yukihiro Omika, Kobori Research Complex Norihide Koshika, Kobori
More informationOPTIMAL DIAGRID ANGLE TO MINIMIZE DRIFT IN HIGHRISE STEEL BUILDINGS SUBJECTED TO WIND LOADS
International Journal of Civil Engineering and Technology (IJCIET) Volume 6, Issue 11, Nov 215, pp. 11, Article ID: IJCIET_6_11_1 Available online at http://www.iaeme.com/ijciet/issues.asp?jtype=ijciet&vtype=6&itype=11
More informationPrecast Concrete Design
8 Precast Concrete Design Suzanne Dow Nakaki, S.E. Originally developed by Gene R. Stevens, P.E. and James Robert Harris, P.E., PhD Contents 8.1 HORIZONTAL DIAPHRAGMS... 4 8.1.1 Untopped Precast Concrete
More informationDesign Of Reinforced Concrete Structures ii TwoWay Slabs
1. Inroduction When the ratio (L/S) is less than 2.0, slab is called twoway slab, as shown in the fig. below. Bending will take place in the two directions in a dishlike form. Accordingly, main reinforcement
More informationETABS. Integrated Building Design Software. Concrete Shear Wall Design Manual. Computers and Structures, Inc. Berkeley, California, USA
ETABS Integrated Building Design Software Concrete Shear Wall Design Manual Computers and Structures, Inc. Berkeley, California, USA Version 8 January 2002 Copyright The computer program ETABS and all
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 informationDESIGN OF BLAST RESISTANT BUILDINGS IN AN LNG PROCESSING PLANT
DESIGN OF BLAST RESISTANT BUILDINGS IN AN LNG PROCESSING PLANT Troy Oliver 1, Mark Rea 2 ABSTRACT: This paper provides an overview of the work undertaken in the design of multiple buildings for one of
More informationASCE 41 Seismic Rehabilitation of Existing Buildings
ASCE 41 Seismic Rehabilitation of Existing Buildings Presentation Topics: 1. How to define a Rehabilitation Objective per ASCE 41. 2. Data Collection and Testing. 3. Analysis Requirements. 4. Modeling.
More informationRetrofitting of RCC Structure WIH Strengthening of Shear Wall with External Post Tensioning Cables
Retrofitting of RCC Structure WIH Strengthening of Shear Wall with External Post Tensioning Cables Yogesh Ghodke, G. R. Gandhe Department of Civil Engineering, Deogiri Institute of Engineering and Management
More information1. a) Discuss how finite element is evolved in engineering field. (8) b) Explain the finite element idealization of structures with examples.
M.TECH. DEGREE EXAMINATION Branch: Civil Engineering Specialization Geomechanics and structures Model Question Paper  I MCEGS 1062 FINITE ELEMENT ANALYSIS Time: 3 hours Maximum: 100 Marks Answer ALL
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 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 informationBuilding Project using PostTensioning
Building Project using PostTensioning Paulo Marques 1 Resume Nowadays building flexibility is an aspect to be taken into account at the idealization and project stages. The number of buildings that throughout
More informationApproximate Analysis of Statically Indeterminate Structures
Approximate Analysis of Statically Indeterminate Structures Every successful structure must be capable of reaching stable equilibrium under its applied loads, regardless of structural behavior. Exact analysis
More informationThe Design of Reinforced Concrete Slabs
EGN5439 The Design of Tall Buildings Lecture #14 The Design of Reinforced Concrete Slabs Via the Direct Method as per ACI 31805 L. A. PrietoPortar  2008 Reinforced concrete floor systems provide an
More informationDesign of crossgirders and slabs in ladder deck bridges
130 Chris R Hendy Head of Bridge Design and Technology Highways & Transportation Atkins Jessica Sandberg Senior Engineer Highways & Transportation Atkins David Iles Steel Construction Institute Design
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, 200105 press Esc to end, for next, for previous slide 1 Type of Force 1 Axial (tension /
More informationSTRUCTURAL DESIGN BRIEF  SURREY WORKS YARD REDEVELOPMENT
1. GENERAL The following brief outlines the design considerations being used to inform the structural design of the project. It will describe, in general terms, the structural systems of each building
More informationChapter 3 DESIGN AND CONSTRUCTION FEATURES IMPORTANT TO SEISMIC PERFORMANCE
Chapter 3 DESIGN AND CONSTRUCTION FEATURES IMPORTANT TO SEISMIC PERFORMANCE To satisfy the performance goals of the NEHRP Recommended Seismic Provisions, a number of characteristics are important to the
More informationThe following sketches show the plans of the two cases of oneway slabs. The spanning direction in each case is shown by the double headed arrow.
9.2 Oneway 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 informationSeismic Design of Shallow Foundations
Shallow Foundations Page 1 Seismic Design of Shallow Foundations Reading Assignment Lecture Notes Other Materials Ch. 9 FHWA manual Foundations_vibrations.pdf Homework Assignment 10 1. The factored forces
More informationPrepared For San Francisco Community College District 33 Gough Street San Francisco, California 94103. Prepared By
Project Structural Conditions Survey and Seismic Vulnerability Assessment For SFCC Civic Center Campus 750 Eddy Street San Francisco, California 94109 Prepared For San Francisco Community College District
More information16. BeamandSlab Design
ENDP311 Structural Concrete Design 16. BeamandSlab Design BeamandSlab System How does the slab work? L beams and T beams Holding beam and slab together University of Western Australia School of Civil
More informationCollapse of Flying Formwork During Concrete Placement
Collapse of Flying Formwork During Concrete Placement No. 8 July 2002 A formwork collapse occurred during the construction of a new manufacturing building which was being built in suburban Boston for a
More informationAdvanced Structural Analysis. Prof. Devdas Menon. Department of Civil Engineering. Indian Institute of Technology, Madras. Module  5.3.
Advanced Structural Analysis Prof. Devdas Menon Department of Civil Engineering Indian Institute of Technology, Madras Module  5.3 Lecture  29 Matrix Analysis of Beams and Grids Good morning. This is
More informationThe elements used in commercial codes can be classified in two basic categories:
CHAPTER 3 Truss Element 3.1 Introduction The single most important concept in understanding FEA, is the basic understanding of various finite elements that we employ in an analysis. Elements are used for
More informationPancaketype collapse energy absorption mechanisms and their influence on the final outcome (complete version)
Report, Structural Analysis and Steel Structures Institute, Hamburg University of Technology, Hamburg, June, 2013 Pancaketype collapse energy absorption mechanisms and their influence on the final outcome
More informationModule 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur
Module Analysis of Statically Indeterminate Structures by the Matrix Force Method esson 11 The Force Method of Analysis: Frames Instructional Objectives After reading this chapter the student will be able
More informationEML 5526 FEA Project 1 Alexander, Dylan. Project 1 Finite Element Analysis and Design of a Plane Truss
Problem Statement: Project 1 Finite Element Analysis and Design of a Plane Truss The plane truss in Figure 1 is analyzed using finite element analysis (FEA) for three load cases: A) Axial load: 10,000
More information8. Seismic Design of Floor Diaphragms 373
8. Seismic Design of Floor Diaphragms 373 Chapter 8 Seismic Design of Floor Diaphragms Farzad Naeim, Ph.D.,S.E. Vice President and Director of Research and Development, John A. Martin & Associates, Los
More informationDESIGN OF BEAMCOLUMNS  I
13 DESIGN OF BEACOLUNS  I INTRODUCTION Columns in practice rarely experience concentric axial compression alone. Since columns are usually parts of a frame, they experience both bending moment and axial
More informationCover. When to Specify Intermediate Precast Concrete Shear Walls. 10.10 Rev 4. White Paper WP004
Cover Introduction In regard to precast concrete systems, the addition of two new categories of Seismic Force Resisting Systems (SFRS) in IBC 2006 has created some confusion about whether to specify intermediate
More informationINTERNATIONAL BUILDING CODE STRUCTURAL
INTERNATIONAL BUILDING CODE STRUCTURAL S506/07 1604.11 (New), 1605 (New) Proposed Change as Submitted: Proponent: William M. Connolly, State of New Jersey, Department of Community Affairs, Division of
More informationAnnouncements. Moment of a Force
Announcements Test observations Units Significant figures Position vectors Moment of a Force Today s Objectives Understand and define Moment Determine moments of a force in 2D and 3D cases Moment of
More informationPERFORMANCE BASED SEISMIC EVALUATION AND RETROFITTING OF UNSYMMETRICAL MEDIUM RISE BUILDINGS A CASE STUDY
Paper No. 682 PERFORMANCE BASED SEISMIC EVALUATION AND RETROFITTING OF UNSYMMETRICAL MEDIUM RISE BUILDINGS A CASE STUDY Jimmy Chandra, Pennung Warnitchai, Deepak Rayamajhi, Naveed Anwar and Shuaib Ahmad
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 informationMECHANICS OF SOLIDS  BEAMS TUTORIAL 1 STRESSES IN BEAMS DUE TO BENDING. On completion of this tutorial you should be able to do the following.
MECHANICS OF SOLIDS  BEAMS TUTOIAL 1 STESSES IN BEAMS DUE TO BENDING This is the first tutorial on bending of beams designed for anyone wishing to study it at a fairly advanced level. You should judge
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 informationDEVELOPMENT OF A NEW TEST FOR DETERMINATION OF TENSILE STRENGTH OF CONCRETE BLOCKS
1 th Canadian Masonry Symposium Vancouver, British Columbia, June 5, 013 DEVELOPMENT OF A NEW TEST FOR DETERMINATION OF TENSILE STRENGTH OF CONCRETE BLOCKS Vladimir G. Haach 1, Graça Vasconcelos and Paulo
More informationSEISMIC RETROFITTING TECHNIQUE USING CARBON FIBERS FOR REINFORCED CONCRETE BUILDINGS
Fracture Mechanics of Concrete Structures Proceedings FRAMCOS3 AEDIFICA TIO Publishers, D79104 Freiburg, Germany SEISMIC RETROFITTING TECHNIQUE USING CARBON FIBERS FOR REINFORCED CONCRETE BUILDINGS H.
More informationDesign and Analysis of Walls Coupled by Floor Diaphragms
I.U.S.S. Istituto Universitario di Studi Superiori di Pavia Università degli Studi di Pavia EUROPEAN SCHOOL OF ADVANCED STUDIES IN REDUCTION OF SEISMIC RISK ROSE SCHOOL Design and Analysis of Walls Coupled
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 informationSection 16: Neutral Axis and Parallel Axis Theorem 161
Section 16: Neutral Axis and Parallel Axis Theorem 161 Geometry of deformation We will consider the deformation of an ideal, isotropic prismatic beam the cross section is symmetric about yaxis All parts
More informationSeismic Isolated Hospital Design Practice in Turkey: Erzurum Medical Campus
Seismic Isolated Hospital Design Practice in Turkey: Erzurum Medical Campus J. Kubin, D. Kubin, A. Özmen, O.B. Şadan, E. Eroğlu Prota Engineering Design and Consultancy Services Inc. H. Sucuoğlu, S. Akkar
More informationNational Council of Examiners for Engineering and Surveying. Principles and Practice of Engineering Structural Examination
Structural Effective Beginning with the April 2011 The structural engineering exam is a breadth and exam examination offered in two components on successive days. The 8hour Vertical Forces (Gravity/Other)
More information