Influence lines theory Fall 2009 P

Influence lines theory Fall 2009 P - INFLUENCE LINES An...

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INFLUENCE LINES An influence line is a graphic representation of the variation in the value of a particular function ( Reaction, Axial Force, Shear Force and Bending Moment ) as a unit concentrated load moves across the structure. Qualitative Properties a) Concentrated live load (CLL) . To obtain the maximum value of the function ( Reaction, Axial Force, Shear Force, Bending Moment ) due to a concentrated live load, the load should be placed at the maximum (absolute) ordinate of the influence line. b) Uniformly Distributed live load (ULL) . To obtain the maximum value of the function ( Reaction, Axial Force, Shear Force, Bending Moment ) due to a uniformly distributed live load, the load should be placed over the regions that provide the maximum areas and have the same sign as the function. Quantitative Properties a) Concentrated live load. The value of the function ( Reaction, Axial Force, Shear Force, Bending Moment ) at any point on the Beam/truss due to a concentrated live load is equal to the magnitude of the load times the ordinate of the influence line. ( Normally we are interested in the maximum value of the function, it is equal to the
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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.

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Influence lines theory Fall 2009 P - INFLUENCE LINES An...

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