Stability computation of steel posts of constant and stepwise-variable sections in the elastoplastic region under an arbitrary load

1984 ◽  
Vol 16 (9) ◽  
pp. 1290-1295
Author(s):  
M. Kh. Mullagulov
Keyword(s):  
Arbitrary Load ◽  
Elastoplastic Region

The effect of finite deformations in the elastic stability of plane frames

1962 ◽  
Vol 266 (1324) ◽  
pp. 47-67 ◽  
Keyword(s):  
Critical Load ◽  
Failure Load ◽  
Elastic Stability ◽  
Load Level ◽  
Load Factor ◽  
Proportional Loading ◽  
Arbitrary Load ◽  
Plane Frames ◽  
The Difference ◽  
Rigid Joints

The circumstances are discussed under which orthogonal relations exist between the elastic critical modes of plane frames subjected to proportional loading. Orthogonal relations may be obtained provided the loading does not produce any components of deformation associated with any of the critical modes at arbitrary levels of the load factor, and provided no part of the structure remains statically indeterminate due to bar forces when all rigid joints are replaced by pin joints. When at arbitrary load factors, the structure deforms with components associated with any of the buckling modes, the elastic failure load is not identical with the lowest elastic critical load, although for many frames the two loads may be very close. A general expression is obtained which reveals the relation between the deformations at an arbitrary load level and the deflexions given by linear analysis. The difference between the elastic failure load and the elastic critical load is discussed, and an approximate treatment applicable to certain types of frame and associated loading is developed.

Some Thin-Plate Problems by the Sine Transform

1951 ◽  
Vol 18 (2) ◽  
pp. 152-156
Author(s):  
L. I. Deverall ◽  
C. J. Thorne
Keyword(s):  
Thin Plate ◽  
The Other ◽  
Rectangular Plates ◽  
Specific Load ◽  
General Solutions ◽  
Arbitrary Load ◽  
Sine Transform ◽  
Edge Conditions ◽  
Method Of Solution ◽  
Load Function

Abstract General expressions for the deflection of thin rectangular plates are obtained for cases in which two opposite edges have arbitrary but given deflections and moments. The sine transform is used as a part of the method of solution, since solutions can be found for an arbitrary load for each set of edge conditions at the other two edges. Even for the classical cases, the use of the sine transform makes the process of solving the problem much easier. The six general solutions given are those which arise from all possible combinations of physically important edge conditions at the other two edges. Solutions for a specific load function can be found by integration or by the use of a table of sine transforms. Tables useful in application of the method to specific problems are included.

Stability of elastic bodies under an arbitrary load

1993 ◽  
Vol 29 (8) ◽  
pp. 610-613
Author(s):  
Ts. Ivanov ◽  
R. Savova
Keyword(s):  
Arbitrary Load ◽  
Elastic Bodies

Simple Phenomenological Model for Reinforcing Steel under Arbitrary Load

2006 ◽  
Vol 132 (7) ◽  
pp. 1061-1069 ◽  
Author(s):  
Matthew S. Hoehler ◽  
John F. Stanton
Keyword(s):  
Phenomenological Model ◽  
Reinforcing Steel ◽  
Arbitrary Load

An Arbitrary Load Torque Generator for Studying Electric Drives in a Laboratory Environment

2008 ◽  
Vol 45 (3) ◽  
pp. 210-228 ◽  
Author(s):  
A. Molina-García ◽  
E. Gómez ◽  
J. A. Fuentes
Keyword(s):  
Load Torque ◽  
Laboratory Environment ◽  
Electric Drives ◽  
Arbitrary Load

scholarly journals Buckling Analysis and Stability of Compressed Low-Carbon Steel Rods in the Elastoplastic Region of Materials

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Gaioz Partskhaladze ◽  
Ingusha Mshvenieradze ◽  
Elguja Medzmariashvili ◽  
Gocha Chavleshvili ◽  
Victor Yepes ◽  
...  
Keyword(s):  
Structural Reliability ◽  
Significant Risk ◽  
Stability Loss ◽  
Low Carbon ◽  
New Approaches ◽  
Critical Curves ◽  
Critical Stresses ◽  
Elastoplastic Region ◽  
The Stability

This paper presents new approaches for solving a problem of the stability of compressed rods in the elastoplastic working region of materials. It is known that the columns of buildings, supports of engineering devices, drill rods of oil, and gas extraction industry may be subjected to significant risk of stability loss. Nowadays, there are design methods based on test results defining the relations (e.g., critical stresses-slenderness) to avoid this risk due to stability loss, but the precision and limits of definition are not always known. The main objectives of the study were to develop new approaches that would allow specifying the values of critical stresses of compressed elements beyond the proportional limit. The problem of stability of the compressed elements in the elastoplastic region was studied according to the stability theory. The authors suggested an original approach to the issue; in particular, the determination of values of the critical stresses and the finding of the points of the bifurcation were carried out by the tangent established by experimental results and by the approximation of the so-called double modulus. Comparative analysis showed the advantage of the proposed approach, particularly that the new critical curves were located below the curves of Engesser-Karman and Shanley and above the critical curves established by building codes. A new approach for the determination of critical stresses in the elastoplastic region was developed through which the structural reliability and economic efficiency was increased by almost 12% compared to the existing approaches.

Unified Solution on Skew Plate Bending with Four Edges Supported under Arbitrary Load

2011 ◽  
Vol 243-249 ◽  
pp. 5994-5998
Author(s):  
Lang Cao ◽  
Xing Jie Xing ◽  
Feng Guang Ge
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fourier Series ◽  
Boundary Conditions ◽  
Engineering Design ◽  
Plate Bending ◽  
The Finite Element Method ◽  
Arbitrary Load ◽  
Skew Plate ◽  
Good Agreement

According to the bending equation and boundary conditions of skew plate in the oblique coordinates system parallel to the edge of the plate, expanding deflection and load into form of Fourier series, the paper derives and obtains unified solution of bending problem for the four-edge-supported skew plate under arbitrary load. Programmed and calculated by mathematica language, the paper also comes with deflections and moments under the condition of any oblique angles, ratios of side length and Poisson ratios. The results of the paper is compared with those by the finite element method in the example, and they’re in good agreement with each other. The paper extends the bending theory of rectangular plate to the skew plate of any angle. The theory being reliable and the result being accurate, the research of the paper can provide reference for engineering design.

Crack resistance of materials in the elastoplastic region under static loading

1986 ◽  
Vol 18 (2) ◽  
pp. 133-136
Author(s):  
A. A. Anokhin ◽  
M. N. Georgiev
Keyword(s):  
Crack Resistance ◽  
Static Loading ◽  
Elastoplastic Region
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