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Saturday, September 13, 2008

Module 3 Analysis of Statically Indeterminate Structures by the Displacement Method

* Module 3 Analysis of Statically Indeterminate Structures by the Displacement Method
o Lesson 14 The Slope-Deflection Method: An Introduction, objectives: Calculate kinematic degrees of freedom of continuous beam ~ Derive slope-deflection equations for the case beam with unyielding supports ~ Differentiate between force method and displacement method of analyses ~ State advantages of displacement method of analysis as compared to force method of analysis ~ Analyse continuous beam using slope-deflection method –contents– [ Degrees of freedom ~ Slope-Deflection Equations ~ Application of Slope-Deflection Equations to Statically Indeterminate Beams. ]

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o Lesson 15 The Slope-Deflection Method: Beams (Continued), objectives: Derive slope-deflection equations for the case beam with yielding supports ~ Estimate the reactions induced in the beam due to support settlements ~ Analyse the beam undergoing support settlements and subjected to external loads ~ Write joint equilibrium equations in terms of moments ~ Relate moments to joint rotations and support settlements –contents– [ Summary ]

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o Lesson 16 The Slope-Deflection Method: Frames Without Sidesway, objectives: State whether plane frames are restrained against sidesway or not ~ Able to analyse plane frames restrained against sidesway by slope-deflection equations ~ Draw bending moment and shear force diagrams for the plane frame ~ Sketch the deflected shape of the plane frame –contents– [ Introduction ]

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o Lesson 17 The Slope-Deflection Method: Frames with Sidesway, objectives: Derive slope-deflection equations for the frames undergoing sidesway ~ Analyse plane frames undergoing sidesway ~ Draw shear force and bending moment diagrams ~ Sketch deflected shape of the plane frame not restrained against sidesway –contents– [ Introduction ]

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o Lesson 18 The Moment-Distribution Method: Introduction, objectives: Calculate stiffness factors and distribution factors for various members in a continuous beam ~ Define unbalanced moment at a rigid joint ~ Compute distribution moment and carry-over moment ~ Derive expressions for distribution moment, carry-over moments ~ Analyse continuous beam by the moment-distribution method –contents– [ Basic Concepts ]

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o Lesson 19 The Moment-Distribution Method: Statically Indeterminate Beams With Support Settlements, objectives: Solve continuous beam with support settlements by the moment-distribution method ~ Compute reactions at the supports ~ Draw bending moment and shear force diagrams ~ Draw the deflected shape of the continuous beam –contents– [ Summary ]

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o Lesson 20 Moment-Distribution Method: Frames without Sidesway, objectives: Solve plane frame restrained against sidesway by the moment-distribution method ~ Compute reactions at the supports ~ Draw bending moment and shear force diagrams ~ Draw the deflected shape of the plane frame –contents– [ Summary ]

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o Lesson 21 The Moment-Distribution Method: Frames with Sidesway, objectives: Extend moment-distribution method for frames undergoing sidesway ~ Draw free-body diagrams of plane frame ~ Analyse plane frames undergoing sidesway by the moment-distribution method ~ Draw shear force and bending moment diagrams ~ Sketch deflected shape of the plane frame not restrained against sidesway –contents– [ Procedure ]

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o Lesson 22 The Multistory Frames with Sidesway, objectives: Identify the number of independent rotational degrees of freedom of a rigid frame ~ Write appropriate number of equilibrium equations to solve rigid frame having more than one rotational degree of freedom ~ Draw free-body diagram of multistory frames ~ Analyse multistory frames with sidesway by the slope-deflection method ~ Analyse multistory frames with sidesway by the moment-distribution method –contents– [ Slope-deflection method ~ Moment-distribution method ]

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