Journal of Structural Engineering, ASCE
June 14, 2015
Title
Assumed Plastic Hinge Positions of Beam Members
Abstract
The engineer can define the assumed plastic hinge of beam members more accurate.
Keywords: Beam, Plastic Hinge
I. Assumed Plastic Hinge Positions of Beam Members
In the partial structural cases, the beam behavior must consider the uniform loading, but the actual beam behavior of the building structures is the isosceles triangle. According to the beam behavior, the moment diagram shows the structural loading is the isosceles triangle, and the theoretical moment equations can be found in the LSD Manual (CSSE 2003). As the numerical analysis results, the isosceles triangle loading has the result, x=0.223149101094592L, and the uniform loading has the result, x=0.211324865405187L. However, the small beam may be adopted in the structural design, and the midpoint loading has the result, x=0.25L. Actually, the midpoint loading is a part of the isosceles triangle loading, and the assumed plastic hinge may move the original position. The assumed plastic hinge position can be calculated by interpolation method, and the different loadings and the differences of the x positions can be calculated by the engineer.
According to the real case, the beam can find the position, x=0.224573841022353L, with the small beam, and the beam can find the position, x=0.224573841022353L, without the small beam. When the engineer intends moving the assumed plastic hinge from the ends of the beam, he can be more accurate to define the assumed plastic hinges for the both sides. The suggested assumed plastic hinge is 0.222~0.227L with the small beam, and the suggested assumed plastic hinge is 0.220~0.225L without the small beam. Besides, the engineer also may adopt the software to measure the distance, and the software method is the easiest way to find the assumed plastic hinge. As everyone knows, the steel beam and RC beam can adopt the assumed plastic hinge technology, and the structural design may have the higher safety for the people.
Reference
Chinese Society of Structural Engineers (2003) Steel Structural Design Manual, Tech Book Publisher
June 14, 2015
Title
Assumed Plastic Hinge Positions of Beam Members
Abstract
The engineer can define the assumed plastic hinge of beam members more accurate.
Keywords: Beam, Plastic Hinge
I. Assumed Plastic Hinge Positions of Beam Members
In the partial structural cases, the beam behavior must consider the uniform loading, but the actual beam behavior of the building structures is the isosceles triangle. According to the beam behavior, the moment diagram shows the structural loading is the isosceles triangle, and the theoretical moment equations can be found in the LSD Manual (CSSE 2003). As the numerical analysis results, the isosceles triangle loading has the result, x=0.223149101094592L, and the uniform loading has the result, x=0.211324865405187L. However, the small beam may be adopted in the structural design, and the midpoint loading has the result, x=0.25L. Actually, the midpoint loading is a part of the isosceles triangle loading, and the assumed plastic hinge may move the original position. The assumed plastic hinge position can be calculated by interpolation method, and the different loadings and the differences of the x positions can be calculated by the engineer.
According to the real case, the beam can find the position, x=0.224573841022353L, with the small beam, and the beam can find the position, x=0.224573841022353L, without the small beam. When the engineer intends moving the assumed plastic hinge from the ends of the beam, he can be more accurate to define the assumed plastic hinges for the both sides. The suggested assumed plastic hinge is 0.222~0.227L with the small beam, and the suggested assumed plastic hinge is 0.220~0.225L without the small beam. Besides, the engineer also may adopt the software to measure the distance, and the software method is the easiest way to find the assumed plastic hinge. As everyone knows, the steel beam and RC beam can adopt the assumed plastic hinge technology, and the structural design may have the higher safety for the people.
|
|
|
|
|
|
|
| |
    |
|
|
| |
  |
|
Reference
Chinese Society of Structural Engineers (2003) Steel Structural Design Manual, Tech Book Publisher
| 國小數學問題（某數） | 國中數學問題（一元二次方程式） | 高中職數學問題（Ｎｅｗｔｏｎ－Ｒａｐｈｓｏｎ） |
  
|
     
  
|
                    
   
|
