Presenting a Differential Equation Strengthened by the Cross Braces for Roof System

Document Type : Research Paper


1 Islamic Azad University, Marageh Branch, Marageh, Iran

2 Faculty of Civil Engineering, Azerbaijan Architecture and Construction University, Baku, Azerbaijan


Plate girders structures is a major industry, much used in the systems covered by these beams, reduce deflection and decrease the maximum bending moment can be considered as a development methodology that way, by the cross beams or braced beams element perpendicular to the girders is provided. In this paper, the effect of stiffness and distance elements development (braced beams) are studied. Differential equation of degree four governing the behavior of the partial structures a quadratic relationship is determined by solving the following mathematical transformations and the fundamental equations are derived. The resulting equations are solved by a practical problem and the answer to the problem. The modeling results are compared with the SAP2000 program shows that highly accurate implementation and compliance. It is thus stiffness changing elements within the cross can be different amounts of stress, bending moment and improved cover and roof system and regulation forces to be calculated. In the proposed method by changing several parameters affecting. Calculate the amount of stress and reduced bending moments and an optional stress adjustment achieved. Other factors, including the backing, boundary conditions, a subsidiary of loading and shooting the junction depth of the main beam are effective in regulating stress.


Volume 11, Issue 1
April 2020
Pages 237-246
  • Receive Date: 03 April 2019
  • Revise Date: 09 December 2019
  • Accept Date: 15 December 2019