Influence Lines and Indeterminate Structures

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  • 1. Procedure For reaction use vertical roller, for shear sliding roller/device and for moment use pin/hinge. Draw the deflected shape.  For numerical values compute the displacements of successive points along the beam when beam is subjected to unit load. Divide each value of displacement by the displacement determined at the point where the unit load acts. By applying this scalar factor, the resulting values are the ordinates of influence line. Use conjugate beam to find ordinates of influence lines.
  • 2. Figure 6 - Multi-span structure Load case for maximum positive reaction at support A Figure 7 - Maximum positive reaction at support A Load case for maximum negative reaction at support A Figure 8 - Maximum negative reaction at support A Load case for maximum positive reaction at support C Figure 9 - Maximum positive reaction at support C Load case for maximum negative reaction at support C Figure 10 - Maximum negative reaction at support C
  • 3. Load case for maximum positive moment at support B Figure 11 - Maximum positive moment at support B Load case for maximum negative moment at support B Figure 12 - Maximum negative moment at support B Load case for maximum positive shear at s Figure 13 - Maximum positive shear at s Load case for maximum negative shear at s Figure 14 - Maximum negative shear at s Load case for maximum positive moment at s Figure 16 - Maximum positive moment at s Load case for maximum negative moment at s Figure 17 - Maximum negative moment at s