Analysis Lecture 1

Analysis Lecture 1 - DEPARTMENT OF CIVIL ENGINEERING THE...

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CIVL2007 Theory and Design of Structures II Analytical Component (2 February 2007) page 1 DEPARTMENT OF CIVIL ENGINEERING THE UNIVERSITY OF HONG KONG CIVL2007 THEORY AND DESIGN OF STRUCTURES II ANALYTICAL COMPONENT Dr S.T. Smith SCOPE OF LECTURES The following topics will be covered in the analytical component of this subject: Topic 1: Indeterminate Structures - Degree of indeterminacy - Static versus kinematic indeterminacy Topic 2: Compatibility Method - Method of consistent deformations Topic 3: Equilibrium Method - Slope deflection method - Energy method - Moment distribution method Topic 4: Influence Lines for Statically Indeterminate Structures Topic 5: Load Combinations - design envelopes REFERENCES The following references have been placed on reserve in the main HKU library for a loan period of 2 days. West, H.H. (2002) Fundamentals of Structural Analysis , Second Edition, Wiley, USA. (Main text) (call number: 624.171 W51) Hibbeler, R.C. (2002) Structural Analysis , Fifth Edition, Prentice Hall, USA. (call no: 624.171 H62 Kassimali, A. (2005) Structural Analysis , Third Edition, Thomson, USA. (call number: 624.171 K19) Larnach, W.J. (1964) Influence Lines for Statically Indeterminate Structures , Macmillan, UK. (call number: 624.177 L32) Previous editions of the above texts have also been placed on reserve and are just as useful as the above listed latest versions. Note that the majority of the following lecture material follows closely the text of West (2002). Worked examples as well as practice problems can be found in West (2002) as well as Hibbeler (2002) and Kassimali (2005).
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CIVL2007 Theory and Design of Structures II Analytical Component (2 February 2007) page 2 TOPIC 1: INDETERMINATE STRUCTURES - LECTURE NOTES - Determinate, Indeterminate and Unstable Structures In order to determine the degree of indeterminacy of a structure it is important to compare the number of independent unknown force quantities with the number of equations of equilibrium. A structure that has more unknown forces than available equilibrium equations is referred to as statically indeterminate. A structure that has the same number of unknown forces as available equilibrium equations is referred to as statically determinate. A structure that has less unknown forces than available equilibrium equations is referred to as statically unstable (i.e. a mechanism). Classify the following structures Note: Stresses and forces are generally less in statically indeterminate structures than in determinate structures. F F F
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CIVL2007 Theory and Design of Structures II Analytical Component (2 February 2007) page 3 Redundant Forces Redundant forces are forces that can be removed from the structure without compromising the stability of the structure. When redundant forces are conceptually removed from a statically indeterminate structure, a primary structure is formed. It is important for the primary structure to be stable (i.e. not to be a mechanism).
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