scholarly journals Local Buckling Analysis of T-Section Webs with Closed-Form Solutions

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Cheng Liang ◽  
Yabo He ◽  
Sumei Liu

This paper reports on approaches to estimate the critical buckling loads of thin-walled T-sections with closed-form solutions. We first develop a model using energy conservation approach under the assumption that there is no correlation between the restraint coefficient and buckling half-wavelength. Secondly, we propose a numerical approach to estimate the critical buckling conditions under the more realistic torsional stiffener constraint condition. A dimensionless parameter correlated with constraint conditions is introduced through finite element (FE) analysis and data fitting technique in the numerical approach. The critical buckling coefficient and loads can be expressed as explicit functions of the dimensionless parameter. The proposed numerical approach demonstrates higher accuracy than the approach under noncorrelation assumption. Due to the explicit expression of critical buckling loads, the numerical approach presented here can be easily used in the design, analysis, and precision manufacture of T-section webs.

1988 ◽  
Vol 110 (1) ◽  
pp. 2-8 ◽  
Author(s):  
Y. C. Kim

Natural frequencies, mode shapes and critical buckling loads of marine risers simply supported at both ends are given in closed form by using the WKB method. These solutions allow variable cross section, bending rigidity, tension and mass distribution along the riser length. Furthermore, a simple procedure to predict natural frequencies for other boundary conditions is described. Some special forms of these closed-form solutions are compared with existing solutions in the literature.


Author(s):  
Rahul Jain ◽  
James Lock ◽  
Stephen F. Duffy

The calculation of the effective volume and/or effective area is a key step in estimating the reliability of ceramic component life cycles. Most common tests performed to assess the strength of components made from ceramics are bend bar specimens tested in three-point and four-point flexure, C-ring and O-ring specimens under diametral compressive or tensile loads, and biaxial ring-on-ring specimens. ASTM closed form solutions [1] for the effective volume and area exist for specimen geometries based on classical theories with underlying assumptions. In general, the closed form expressions are valid for limited specimen geometry bounds. A discussion regarding the validity is presented via a numerical approach that computationally determines the effective volume and area for ceramic test specimens. The results obtained utilizing the numerical approach are compared with the closed form solutions. These comparisons point to the need for revisiting the underlying assumptions used in developing the closed form expressions. Finally, simple power law approximations are developed based on numerical results that directly give the effective volume and/or the effective area based on the Weibull modulus for the test geometries investigated in this research effort.


2010 ◽  
Vol E93-B (12) ◽  
pp. 3461-3468 ◽  
Author(s):  
Bing LUO ◽  
Qimei CUI ◽  
Hui WANG ◽  
Xiaofeng TAO ◽  
Ping ZHANG

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