Title:
Explicit Solutions of Transverse Tensions in Deep Beams: Load-Path Model and Superposition Principle
Author(s):
Zhi-Qi He, Zhao Liu, and Zhongguo John Ma
Publication:
Structural Journal
Volume:
111
Issue:
3
Appears on pages(s):
583-594
Keywords:
deep beams; discontinuity regions; load paths; strut-and-tie models; transverse tensions
DOI:
10.14359/51686575
Date:
5/1/2014
Abstract:
This study provides analytical solutions of elastic stress distributions in simply supported deep beams through translucent loadpath modeling. The load-path model is established with graphical and analytical features, which aides in the visualization and quantification of the flow of internal forces within deep beams. Nonlinear strain distributions in deep beams originate from the spread of localized forces within the beams, and this effect can be represented by a beam system subjected to compressions at opposite corners. Explicit expressions for transverse stresses and resultant tensions are obtained for deep beams subjected to various loading patterns using the principle of superimposition. The estimation of resultant tensions using the method presented is practical in the serviceability design of deep beams (particularly for very deep beams with depths greater than their spans), and can serve as a quantitative basis in developing strut-and-tie models.