On the theory of rods II. Developments by direct approach

This paper, which may be regarded as a companion to part I under the same title, is concerned with some aspects of both the nonlinear and the linear theories of elastic rods by a direct approach based on the theory of a Cosserat curve with two directors. Special attention is given to the development of the linear isothermal theory of straight isotropic rods of variable cross-section possessing two axes of symmetry. The resulting equations, which are applicable to rods of non-uniform section, separate into those appropriate for extensional, torsional and flexural modes of deformation. Application of these results to torsion and flexure of non-uniform rods are considered, and the problem of identification of constitutive coefficients for rods of uniform cross-section is dealt with at some length.

2008 ◽  
Vol 400-402 ◽  
pp. 633-638
Author(s):  
Min Chen ◽  
Zhong Chu Tian ◽  
Guo Liang Zeng

In practical engineering, we often encounter designs of variable cross-section or compound section skew girder bridge. While in many bibliographies, uniform cross-section of the concrete beams studying was carried out, but few of variable cross-section concrete beams were in-depth studied. Based on analyzing the mechanical behavior of variable cross-section beam skew girder bridge, the semi-analytic solution of variable cross-section beam skew girder bridges were provided in this paper. With this method developed a planar computation program to resolve the calculation problems of skew girder bridge, a more convenient way will be brought up for designers in calculation.


2021 ◽  
Vol 245 ◽  
pp. 02006
Author(s):  
Wu Jing ◽  
Han Junke ◽  
Ye Fang ◽  
Qi Wenyan ◽  
Yu Jinshan ◽  
...  

In this paper, the structural optimization of high-rise guyed tower is carried out for the guyed wire and tower column schemes. The schemes are compared from the four guyed wires and eight guyed wires, the width of the tower column, the uniform cross-section tower column and the variable cross-section tower column, etc. And the single-column tower with eight guyed wires and variable cross-section is recommended for the high-rise guyed tower. Through the full-scale test study of the high-rise guyed tower, the safety of the high-rise guyed tower structural optimization and the feasibility of engineering application are verified. According to the technical and economic analysis of traditional self-supporting towers and high-rise guyed towers recommended in this paper, it can be seen that the weight and total cost of the high-rise guyed towers are 75.3% and 88.5% of the traditional self-supporting towers respectively, demonstrating the technical and economic advantages of the high-rise guyed towers. The advantages and disadvantages of high-rise guyed towers and self-supporting towers are summarized for reference in engineering design.


2015 ◽  
Vol 744-746 ◽  
pp. 531-535
Author(s):  
Qing Guang Yang ◽  
Jie Tian ◽  
Jie Liu ◽  
Ya Hui Wang

To study extruding soil caused of close-mouth step cross-section pipe Pile, model experimentals of five static piling tests with two constant cross-section pipe piles and three step cross-scetion pipe piles are performed in lab respectively and some observation points are installed for heave amount and horizontal displacement of soil surface around piles before tests.Results show that penetration resistance improved linearly with increasing of length of pile in soil and there has a turning point which become more and more obviously with increasing of average diameter of step cross-section pipe pile after the pile length in soil is 70cm.Comparing with uniform cross-section pipe pile, penetration resistance per unit volume is more bigger and increases with improving of variable cross-section ratio to step cross-section pipe pile.The swelling-up amount of soil around step cross-section pipe pile increases firstly, then decreases secondly ,and increases finally. Camparing with uniform cross-section pipe pile, the maximum heaves have 51.0% and 44.6% reduce respectively to setp cross-section pipe pile and the position of largest heaves moved from 1.0d to 1.5d.Moreover, the largest horizontal displacements have 24.6% and 26.9% reduce respectively to step cros-section pipe pile and the point of largest horizontal displacement moved from 2.0d to 2.5d.


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