A Variable Angle Space Truss Model for Structural Concrete Members Subjected to Complex Loading

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Title: A Variable Angle Space Truss Model for Structural Concrete Members Subjected to Complex Loading

Author(s): Basile G. Rabbat and Michael P. Collins

Publication: Special Publication

Volume: 55

Issue:

Appears on pages(s): 547-588

Keywords: beams (supports); bending; compression; deformation; loads (forces); mathematical models; Mohrs circle; prestressed concrete; rectangular beams; reinforced concrete; research; shear properties; strains; stresses; structural analysis; structural design.

Date: 8/1/1978

Abstract:
The paper presents a model capable of predicting the post-cracking response of reinforced and prestressed concrete members subjected to complex loading. The angles of inclination of the compression diagonals in the walls of the truss model are determined from strain compatibility conditions. These compatibility conditions in conjunction with the equilibrium conditions for the truss and the load-deformation relationships for the members of the truss enable the full response of the model to be determined; i.e. the strain in the longitudinal and web reinforcements as well as the various eformations of the beams at all load levels can be predicted. Experimental results are used to confirm the truss model's predictions. It is shown how the truss model could be used in the design office.