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Unformatted text preview: MANHATTAN COLLEGE CIVIL & ENVIRONMENTAL ENGINEERING DEPARTMENT ==================================================================== FALL 2009 DR MOUJALLI HOURANI ======================= CIVL 302-01-02 STRUCTURAL ANALYSIS I ============== ================================== Moment Area Method Theorem 1 For two points A an B on a continuous elastic curve (there are no hinges between A and B), the rate of change of slope of the elastic curve between points A and B is equal to the area of the M/EI diagram between A and B. θ B – θ A = area under the moment diagram of the curve M/EI between A and B Theorem 2 For two points A an B on a continuous elastic curve (there are no hinges between A and B), the tangential deviation at a point B from the tangent line drawn to the elastic curve at A is equal to the moment about B of the area of the M/EI diagram between A and B. Sign Convention: 1- Change in slope is positive if the area of the M/EI diagram is positive....
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This note was uploaded on 03/29/2011 for the course CIVL 201 taught by Professor Schneider during the Spring '08 term at Manhattan College.
- Spring '08
- Environmental Engineering