Hi, Folks ! Welcome to

Structural Analysis I

Hae Sung LeeStructural Analysis Lab, Dept. of Civil and Environmental Eng.

Seoul National UniversitySpring Semester, 2011

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Who’s who ? Instructor : Lee, Hae Sung (이해성)

Office : 35-408

Tel : 880-8388

e-mail : chslee@snu.ac.kr

Hompage : http://strana.snu.ac.kr

TA : Goh, Heedong/Lee, Hohyun (32-303, 1538)(고희동) (이호현)

Class Hours : Wed. 17:00-18:40Fri. 17:00-17:50Fri. 18:00-18:50 (Practice)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Text & Other Tools

Class note by Instructor

Reference- Structural Analysis - Classical and Matrix Approachby Jack C. McCormac and R. E. Elling

- Elementary Structural Analysis 4th Ed. by C. H. Norris- Statically Indeterminate Structures by Chu-Kia Wang

SNUSEA

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Class Contents Introduction of Structural Analysis (1)

Types of Structures and Supports (1)

Free-Body Diagram (2)

Forces and Moments and Their Diagram (2-3)

Analysis of Various Statically Determinate Structures (4-5)

Virtual Work Principles and Related Issues (6-8)

Introduction of Statically Indeterminate Structures (9)

Flexibility Method for Analyzing Statically IndeterminateStructures (10-13)

Influence Lines (14-16)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Evaluation 2 Mid Term Exams(April 8, May 13) : 40 %

Final Exams (June 16, 16:00-19:00) : 30 %

Home work and attendance : 30 %

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Aah….Structural Analysis !!

1

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Structure ?? Definition by Late Prof. Shin

Thing built to safely withstand all possible external forces applicable during itsexpected lifetime by properly connecting solid materials with various shapesaccording to its purpose.

Definition by Live Prof. LeeEverything made by solid materials that you can see !!!

Types Mobile structures : Cars, Airplanes, shipFixed structures : Civil structures (social infrastructures) & Buildings

Purpose : Bridge, Dam, Tunnel, Building…

Material : Wooden, Steel, Concrete…

Mechanical Behavior : Beam, Truss, Arch, Frame…

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Human BodyThe most sophisticated structures in the world designed by God!!!

Shell

Beam

Arch

Column

Footing

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Force Newton’s Second Law of Motion

Gravity – Newton’s Law of Gravitation:

Dynamic Force :

Water, Earth and Wind Pressure…

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

City & Structure (1)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

City & Structure (2)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Bridge (1)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Bridge (2)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Bridge (3)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Building (1)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Building (2)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Building (3)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Cultural Facility (1)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Cultural Facility (2)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Troublesome Structures

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Different Structures with same idea

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Different Structures with same idea

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Classification Mechanical Behaviors

- Beam (들보)- Truss (트러스)- Frame (강절 뼈대, Rahmen)- Arch- Plate and Shell (판 및 쉘 )- General Continuous structures (일반적인 연속체 구조물)

Analysis Method (existence of redundancy)- Statically Determinate (정정구조물)- Statically Indeterminate (부정정구조물)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Beam

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Truss

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Frame

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Arch

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Structural Engineering ?? Objective

- Design and construction of structures- Management, maintenance and rehabilitation of structures

Tools- Solid and applied mechanics- Mathematics and numerical methods- Experiences, experiments and statistical data

In Consideration of - Safety and economics- Manageability, maintenance and rehabilitation- Harmony with surroundings (environmental and aesthetic)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Engineering Design ?

Trial SystemInput Response

SatisfyDesign Criteria ?No !!

Modify System

Yes !!

Final System

Analysis

Satisfy Budget ?No !! Yes !!

Design

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Sequence of Structural Construction Feasibility Study

- Economical and Engineering Aspects

Determination of Structural type and Material

Structural Analysis

Preliminary Design

Main Design

Construction- Design and construction of temporary structures- Construction management- Design change

Management and Maintenance

Design Process

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Structural Analysis ??? Objective

- Calculation of structural responses such as stress, strain anddisplacement for given structural properties and external loadingconditions

Purpose- To calculate structural responses as accurately as possible for all

loading conditions applicable during the lifetime of a structure forthe design of a safe and economical structure.

Tools- Healthy body and Smart Brain (Study)- Mathematics (Linear algebra, Calculus, Differential Equation...)- Physics (Statics and Dynamics- Numerical Method (Computer)- Experiments

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Classification of Classic Mechanics

Mechanics(역 학)

Granular Mechanics(분 체 역 학)

Thermo Mechanics(열 역 학)

Solid Mechanics(고 체 역 학)

Fluid Mechanics(유 체 역 학)

Structural Analysis(구조 해석)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Classification of Engineering Problems Direct Problems : ∇⋅(k∇⋅ u) = f (Analysis)

Inverse Problems : Reconstruction

Inverse Problems : System Identification

SystemInput Response

SystemInput Measured Response

SystemInput Measured Response

ErrorError

Error

Error

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Types of Structural Analysis Loading Speed

- Static analysis : neglecting inertia force- Dynamic analysis : with inertia force

Unknowns- Flexibility method : Forces are unknown.- Stiffness method : Displacement is unknown.

Tool- Classic method : (pensile + Paper + Brain + Hand)- Computational method : (…+ Computer)

Distribution of Unknowns- Discrete structure (ODE)- Continuous structure (PDE)

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Structural Division ofDept. of Civil and Environmental Eng.

Seoul National University

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Professors

Prof. Hyun Moo KohStructural Engineering Lab.http://sel.snu.ac.kr

Prof. Jae Kwan KimStructural Dynamics Lab.http://dyna.snu.ac.kr

Prof. Hae Sung LeeStructural Analysis Lab.http://strana.snu.ac.kr

Prof. Jae Yeol ChoConcrete Structures Lab.http://concrete.snu.ac.kr

Prof. Ho Kyung KimStructural Design Lab.http://bridge.snu.ac.kr

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Course Semester Title Contents

Under-

graduate

2-1

2-2

3-1

3-2

4-1

Mechanics of Materials

Applied Dynamics

Structural Analysis 1

Structural Analysis 2

Structural Information Eng.

Statics

Dynamics

Flexibility Method

Stiffness Method

Structural System

Master’s

Course

1-1

1-1

1-1

1-2

1-2

1-2

2-1

Adv. Structural Analysis

Elasticity 1

Structural Stability 1

Finite Element Method

Dynamics of Structures

Structural Reliability

Theory of Plates & Shells

Advanced Analysis

Continuum Analysis

Buckling Analysis

Computational Analysis

Dynamic Analysis

Probability Analysis

Plates & Shells Analysis

Doctor’s

Course

Plasticity

Structural Optimization

Elasticity 2

Structural Stability 2

Plasticity

Optimized Design

Large Deformation

Advanced Buckling

Course Semester Title Contents

Under-

graduate

3-1

3-2

4-1

4-2

Theory of Reinforced Concrete and Lab. 1 Theory of Reinforced Concrete and Lab. 2 Design of Steel Structures Introduction to Bridge Design

Concrete Structure

Concrete Structure

Steel Structures Bridge Design

Graduate

Advanced Reinforced Concrete Design Advanced Reinforced Concrete Mechanics Advanced Bridge Engineering Coastal Engineering Computational Structure Design Fundamentals of Earthquake Engineering

Non-elastic Design Fracture Analysis Advanced Analysis

Coastal Engineering

Design Automation Earthquake Engineering

ClassesAnalysis Lecture Design Lecture

Structural Analysis Lab

Seoul National University

http://strana.snu.ac.kr

Advanced Structural Analysis

Class TreeMechanics of

Materials

Structural Analysis 1

Structural Analysis 2

Theory of Applied Dynamics

Structural Information Engineering

Theory of Elasticity

Finite Element Method

Dynamics of Structure

Theory of Plates and Shells

Theory of Reinforced Concrete and Lab.

Design of Steel Structures Design

Introduction of Bridge Design

Structural ReliabilityAdvanced Reinforced

Concrete Design

Advanced Structural Analysis and Research Advanced Structural Design and Research