Introduction to Class’ Rules Everybody have to : • Attend the class at least for 10 class session, Tolerance for late students 15 minutes. • Participate in class discussion. • Smoking and sandals in class is NOT allowed • Be an active student • Pay attention about the course material before entering the class session • Search others source to completely the topic ( online reading, browsing the internet, going to Library ) • Do all the exercises ( IT IS VERY IMPORTANT !! ) Bina Nusantara University • Ready to do assignments/Quiz any time in the class session 2 Introduction to Homework’s Rules • Everybody have to make all home work assignment and give to the lecturer/ lecturer assistant on the time. • Whoever doesn’t attend the class without permission, her/his HW assignment in this session class will not be appraiser • Do your best for HW Assignment • Every session has min. 5 additional problems for HW ( from Lecturer / Lecturer Assistant ), beside your main HW that you can download from Binus Maya Bina Nusantara University 3 Classification of your HW Assignment Type : • Personal Format : • There is no a special format but, do your HW systematically & easy to understand • If there are instructions to draw the graphics/picture/diagrams you may use “millimeter block” papers Sources : • RC Hibbeler. (2006). Structural Analysis. 6th Ed.Pearson Prentice Hall. Singapore. Bina Nusantara University 4 Matakuliah Tahun : S0725 – Analisa Struktur : 2009 Introduction to Indeterminate Structure Session 01-02 Contents •Introduction •Classification of Indeterminate Structure •Indeterminacy of Structure Bina Nusantara University 6 Introduction What is a “ structure” ? Is a system of connected parts used to support load. This is very important for design of all civil engineering Project Bina Nusantara University 7 Introduction What are that must account by civil engineer related to structural design ? Accounts for safety, esthetics and serviceability , while taking into consideration economic and environmental constraints Bina Nusantara University 8 Introduction How about the design Process ? The design process is both creative and technical and requires a fundamental knowledge of material properties & laws of mechanics which govern material response. Bina Nusantara University 9 Introduction What are the requirements , when we analyze that structure ? Strength and rigidity , certain idealization must be made as to how the members are supported and connected together, and their displacement are found by using the theory of Structural Analysis Bina Nusantara University 10 Introduction What are structural Analysis ? Structural analysis is a mathematical examination of a complex structure, that analyze breaks a complex system down to individual component geometry, trigonometry, algebra, and basic physics concepts parts by using Bina Nusantara University 11 Introduction What are structural Analysis ? Structural analysis is a mathematical examination of a complex structure, that analyze breaks a complex system down to individual component geometry, trigonometry, algebra, and basic physics concepts parts by using Bina Nusantara University 12 Introduction Structural Elements All structures are composed of a number of basic structural elements as follow : Tension hanger shell Beam Column Bina Nusantara University Dome with cable structures 13 Introduction Structural Elements 1. Tension Hanger Axially loaded members in tension The tension member is direct function of tensile strength of material. These member are rather slender , and Rod rod , bars, angles or channel ( cross often chosen from Channel section) Bar Angle Bina Nusantara University Cross section types Sources : RC Hibbeler. (2006). Structural Analysis. 6th ed. Pearson Prentice Hall. Singapore. 14 Introduction Structural Elements 2. Beam Loaded created shear bending moment When load applied beam bends and deflects into a shallow curve. Heavily loaded in beams, shear stress t produced by V ( Force ) relative small than M ( Moment ) that produced by longitudinal bending stress P sC M D L VA D VB VA Shallow curve Bina Nusantara University Internal forces st Bending stresses 15 Introduction Structural Elements 3. Columns Axially Loaded members in compression Columns also carry load in direct stress very efficiently, Members that are generally vertical & resist axial compressive loads are referred to as columns P F F V Bina Nusantara University Axially Loaded column Cantilever column with buckling load P 16 Introduction Structural Elements 4. Beam Columns Columns are subject to an axial load and resist axial load & bending moment M P Bina Nusantara University 17 Introduction Structural Elements 5. Planar Trusses all members axially loaded Bina Nusantara University 18 Introduction Structural Elements 6. Cables Flexible members stress in tension by transverse loads cables are relatively slender Bina Nusantara University 19 Introduction Structural Elements 7. Rigid Frame Stressed by axial load and moment Bina Nusantara University 20 Introduction Structural Elements 8. Plates or Slabs load carried by bending Bina Nusantara University 21 Introduction Structural Elements 9. Thin Shells / curved surfaced element / dome Stresses acting primarily in plane elements Bina Nusantara University 22 Classification of Indeterminate Structure Determinacy & Stability Determinacy Wheater or not the reactions and forces in a structure can be analysed on static equilibrium It deals with wheater the forces on structure can be determinated knowing only geometry of the structure, or wheater the stiffness component must be known. 23 Bina Nusantara University Classification of Indeterminate Structure Determinacy & Stability Stability the geometric arrangement of members and supports required for a stable structure, or the structure ca resist load , without change the structure shape or significant value for lateral displacement, and the members must properly held or constrained by their support. Bina Nusantara University 24 Classification of Indeterminate Structure Determinacy consist of internal and external issues… • externally determinate If the reaction of structure can be solved based on static equilibrium • internally determinate If the force of individual component can be solved based on Bina Nusantara University 25 Classification of Indeterminate Structure Assesing determinacy of single rigid body 3 equations of static equilibrium…. If R = 3 statically determinate q HA VA VB Bina Nusantara University 26 Classification of Indeterminate Structure Assesing determinacy of single rigid body 3 equations of static equilibrium…. If R > 3 statically indeterminate q degree of indeterminacy = R-3 HA VA Bina Nusantara University VC VB 27 Classification of Indeterminate Structure Stability condition a. If R < 3n unstable ; n = member Bina Nusantara University 28 Sources : RC Hibbeler. (2006). Structural Analysis. 6th ed. Pearson Prentice Hall. Singapore. Classification of Indeterminate Structure Stability condition b. If R > 3n unstable if member reactions are concurrent or parallel or some of components form a collasible mechanism Bina Nusantara University 29 Sources : RC Hibbeler. (2006). Structural Analysis. 6th ed. Pearson Prentice Hall. Singapore. Classification of Indeterminate Structure Stability condition Bina Nusantara University Sources : RC Hibbeler. (2006). Structural Analysis. 6th ed. Pearson Prentice Hall. Singapore. 30 Indeterminacy of Structure •Determinacy is the ability to compute support reactions using plan statics. •That is, if a structure is determinate, the sufficient to find all the forces. equations of equilibrium are Bina Nusantara University 31 Indeterminacy of Structure •If it is indeterminate, there are too many reactions to solve for. •This is the classic problem of having more unknowns than independent equations to solve for the unknowns. •If there are to few reactions, then the structure is unstable. Bina Nusantara University 32 Indeterminacy of Structure Bina Nusantara University 33 Indeterminacy of Structure Bina Nusantara University 34 Indeterminacy of Structure Bina Nusantara University 35 Indeterminacy of Structure Bina Nusantara University 36 Indeterminacy of Structure Bina Nusantara University 37 Indeterminacy of Structure Bina Nusantara University 38 Indeterminacy of Structure Bina Nusantara University 39 Indeterminacy of Structure Bina Nusantara University 40 Indeterminacy of Structure Bina Nusantara University 41 Indeterminacy of Structure Bina Nusantara University 42