Structural Analysis I

Transcription

1 Hi, Folks! Welcome to Structural Analysis I Hae Sung Lee, Dept. of Civil and Environmental Eng. Seoul National University Spring Semester, 2011

2 Who s who? Instructor : Lee, Hae Sung ( 이해성 ) Office : Tel : Hompage : chslee@snu.ac.kr : TA : Goh, Heedong/Lee, Hohyun (32-303, 1538) ( 고희동 ) ( 이호현 ) Class Hours : Wed. 17:00-18:40 Fri. 17:00-17:50 Fri. 18:00-18:50 (Practice)

3 Text & Other Tools Class note by Instructor Reference - Structural Analysis - Classical and Matrix Approach by Jack C. McCormac and R. E. Elling - Elementary Structural Analysis 4th Ed. by C. H. Norris - Statically Indeterminate Structures by Chu-Kia Wang SNUSEA

4 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 Indeterminate Structures (10-13) Influence Lines (14-16)

5 Evaluation 2 Mid Term Exams(April 8, May 13) : 40 % Final Exams (June 16, 16:00-19:00) : 30 % Home work and attendance : 30 %

6 Aah. Structural Analysis!! 1

7 Structure?? Definition by Late Prof. Shin Thing built to safely withstand all possible external forces applicable during its expected lifetime by properly connecting solid materials with various shapes according to its purpose. Definition by Live Prof. Lee Everything made by solid materials that you can see!!! Types Mobile structures : Cars, Airplanes, ship Fixed structures : Civil structures (social infrastructures) & Buildings Purpose : Bridge, Dam, Tunnel, Building Material : Wooden, Steel, Concrete Mechanical Behavior : Beam, Truss, Arch, Frame

8 Human Body The most sophisticated structures in the world designed by God!!! Shell Beam Arch Column Footing

9 Force Newton s Second Law of Motion Gravity Newton s Law of Gravitation: Dynamic Force : Water, Earth and Wind Pressure

10 City & Structure (1)

11 City & Structure (2)

12 Bridge (1)

13 Bridge (2)

14 Bridge (3)

15 Building (1)

16 Building (2)

17 Building (3)

18 Cultural Facility (1)

19 Cultural Facility (2)

20 Troublesome Structures

21 Different Structures with same idea

22 Different Structures with same idea

23 Mechanical Behaviors - Beam ( 들보 ) - Truss ( 트러스 ) Classification - Frame ( 강절뼈대, Rahmen) - Arch - Plate and Shell ( 판및쉘 ) - General Continuous structures ( 일반적인연속체구조물 ) Analysis Method (existence of redundancy) - Statically Determinate ( 정정구조물 ) - Statically Indeterminate ( 부정정구조물 )

24 Beam

25 Truss

26 Frame

27 Arch

28 Objective Structural Engineering?? - 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)

29 Engineering Design? Design Analysis Input Trial System Response Modify System No!! Satisfy Design Criteria? Yes!! No!! Yes!! Satisfy Budget? Final System

30 Sequence of Structural Construction Feasibility Study - Economical and Engineering Aspects Determination of Structural type and Material Structural Analysis Preliminary Design Main Design Design Process Construction - Design and construction of temporary structures - Construction management - Design change Management and Maintenance

31 Structural Analysis??? Objective - Calculation of structural responses such as stress, strain and displacement for given structural properties and external loading conditions Purpose - To calculate structural responses as accurately as possible for all loading conditions applicable during the lifetime of a structure for the 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

32 Classification of Classic Mechanics Granular Mechanics ( 분체역학 ) Mechanics ( 역학 ) Thermo Mechanics ( 열역학 ) Fluid Mechanics ( 유체역학 ) Solid Mechanics ( 고체역학 ) Structural Analysis ( 구조해석 )

33 Classification of Engineering Problems Direct Problems : (k u) = f (Analysis) Input Inverse Problems : Reconstruction Error Input System System Response Inverse Problems : System Identification Error Measured Response Input Error System Error Measured Response

34 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)

35 Structural Division of Dept. of Civil and Environmental Eng. Seoul National University

36 Professors Prof. Hyun Moo Koh Structural Engineering Lab. Prof. Jae Kwan Kim Structural Dynamics Lab. Prof. Hae Sung Lee. Prof. Jae Yeol Cho Concrete Structures Lab. Prof. Ho Kyung Kim Structural Design Lab.

37 Classes Course Semester Title Contents Master s Course Doctor s Course Analysis Lecture 1-1 Structural Stability Finite Element Method 1-2 Dynamics of Structures 1-2 Structural Reliability 2-1 Theory of Plates & Shells Plasticity Structural Optimization Elasticity 2 Structural Stability 2 Buckling Analysis Computational Analysis Dynamic Analysis Probability Analysis Plates & Shells Analysis Plasticity Optimized Design Large Deformation Advanced Buckling Course Semester Title Contents Undergraduate Mechanics of Materials Applied Dynamics Structural Analysis 1 Structural Analysis 2 Structural Information Eng. Statics Dynamics Flexibility Method Stiffness Method Structural System 1-1 Adv. Structural Analysis Advanced Analysis 1-1 Elasticity 1 Continuum Analysis Undergraduate Graduate Design Lecture 3-1 Theory of Reinforced Concrete and Lab Theory of Reinforced Concrete and Lab Design of Steel Structures 4-2 Introduction to Bridge Design Advanced Reinforced Concrete Design Advanced Reinforced Concrete Mechanics Advanced Bridge Engineering Coastal Engineering Computational Structure Design Fundamentals of Earthquake Engineering Concrete Structure Concrete Structure Steel Structures Bridge Design Non-elastic Design Fracture Analysis Advanced Analysis Coastal Engineering Design Automation Earthquake Engineering

38 Theory of Applied Dynamics Structural Information Engineering Dynamics of Structure Theory of Plates and Shells Class Tree Mechanics of Materials Structural Analysis 1 Structural Analysis 2 Advanced Structural Analysis Finite Element Method Theory of Elasticity Theory of Reinforced Concrete and Lab. Design of Steel Structures Design Introduction of Bridge Design Structural Reliability Advanced Reinforced Concrete Design Advanced Structural Analysis and Research Advanced Structural Design and Research