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Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   FEBRUARY 2017 , Volume 16 , Number 11 ; Page(s) 439 To 444.
 
Paper: 

A NEW HIGH ORDER THREE-NODE TIMOSHENKO BEAM ELEMENT FOR STATIC ANALYSIS OF BEAM AND PLANE FRAME STRUCTURES

 
 
Author(s):  KARKON MOHAMMAD*
 
* DEPARTMENT OF CIVIL ENGINEERING, LARESTAN BRANCH, ISLAMIC AZAD UNIVERSITY, LARESTAN, IRAN
 
Abstract: 

In this paper a new high order element is proposed for analysis of beams with shear deformation effect.
In each node of this element there exist translation and rotation degrees of freedom. The element’s formulation is based on the first-order shear deformation theory (FSDT). For this aim, displacement field of the element is selected from fifth order. Moreover, the shear strain is varied as quadratic function throughout the element. It is worth noting that the quadratic function can be used for axial displacement field. By employing curvature and shear strain relations of Timoshenko beam theory, the exact and explicit shape functions of the displacement fields are obtained. By utilizing these shape functions, beam elements’ stiffness matrix is also calculated. Finally, several numerical tests are performed to assess the robustness of the suggested element. The results of the numerical testes prove the absence of the shear locking and high accuracy and efficiency of the proposed element for analysis of beam and frame structures. It should be mentioned, due to utilizing fifth order function for displacement field, the proposed element calculates the exact solution for displacements and internal forces throughout the element for triangular distributed loads.

 
Keyword(s): FINITE ELEMENT, TIMOSHENKO BEAM, THREE-NODE ELEMENT, STATIC ANALYSIS
 
 
References: 
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Citations: 
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APA: Copy

KARKON, M. (2017). A NEW HIGH ORDER THREE-NODE TIMOSHENKO BEAM ELEMENT FOR STATIC ANALYSIS OF BEAM AND PLANE FRAME STRUCTURES. MODARES MECHANICAL ENGINEERING, 16(11 ), 439-444. https://www.sid.ir/en/journal/ViewPaper.aspx?id=572103



Vancouver: Copy

KARKON MOHAMMAD. A NEW HIGH ORDER THREE-NODE TIMOSHENKO BEAM ELEMENT FOR STATIC ANALYSIS OF BEAM AND PLANE FRAME STRUCTURES. MODARES MECHANICAL ENGINEERING. 2017 [cited 2021July29];16(11 ):439-444. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=572103



IEEE: Copy

KARKON, M., 2017. A NEW HIGH ORDER THREE-NODE TIMOSHENKO BEAM ELEMENT FOR STATIC ANALYSIS OF BEAM AND PLANE FRAME STRUCTURES. MODARES MECHANICAL ENGINEERING, [online] 16(11 ), pp.439-444. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=572103.



 
 
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