Title:
Simplified Finite-Element Analysis of Deflections of Reinforced Concrete Beams
Author(s):
VictorI A. Pulmano and Young Sik Shin
Publication:
Structural Journal
Volume:
84
Issue:
4
Appears on pages(s):
342-348
Keywords:
beams (supports); cracking (fracturing); creep properties; deflection; finite element method; microcomputers; prestressed concrete; reinforced concrete; serviceability; shrinkage; stiffness; tension; structural analysis; Structural Research
DOI:
10.14359/1663
Date:
7/1/1987
Abstract:
A simple finite-element method for predicting the instantaneous and long-term deflections of statically determinate/indeterminate ordinary reinforced and partially-fully prestressed beams. The finite beam element developed herein has a parabolically varying bending stiffness along its length, and takes into account the nonlinear effects due to cracking and tension stiffening, and the time-dependent effects due to creep and shrinkage. The method can be easily implemented in a small microcomputer or even in a programmable calculator. Predicted values of instantaneous and long-term deflections are in very good agreement with available measured values. The method can also predict the redistribution of internal forces in the case of statically indeterminate beams.