scholarly journals General solutions for a circular flat plate with a central hole loaded by transverse force or bending moment uniformly distributed along a circumference

1992 ◽  
Vol 52 (3) ◽  
pp. 454
Keyword(s):  
Flat Plate ◽  
Bending Moment ◽  
Transverse Force ◽  
Central Hole ◽  
General Solutions

scholarly journals PLASTIC DEFORMATIONS OF STEEL FRAME: STATICS AND DYNAMICS

2010 ◽  
Vol 2 (3) ◽  
pp. 101-105 ◽  
Author(s):  
Vytautas Kargaudas ◽  
Nerijus Adamukaitis
Keyword(s):  
Dynamic Analysis ◽  
Cross Section ◽  
Axial Force ◽  
Bending Moment ◽  
Transverse Force ◽  
Steel Frame ◽  
Plastic State ◽  
Strain Diagram ◽  
Plastic Deformations ◽  
Elastic Plastic

When all deformations of a column are elastic, transverse deflections of the column depend on transverse force and axial displacements depend on axial force only. These classical dependences are unsuitable for elastic-plastic deformations. Plastic deformations develop in columns when steel frame is influenced by extreme action. When a steel column is in the elastic-plastic state, the distribution of elastic and plastic deformations in the cross-section depends on both the bending moment and compressing force. The ideal elastic-plastic material is assumed in this investigation (Prandtl stress – strain diagram). If the shape of the column section is double tee, flange width is neglected with respect to web height, but the area of the flange cross-section is assumed a constant. Single-sided or double-sided yield depends on the moment and force, and therefore curvature and the axial strain of the column can be calculated when yielding dependences are determined. Transverse and axial displacements of the highest point of the column are deduced by integration and depend on two arguments: bending force and axial force. These dependences are essentially non-linear, so linear approximations can be assessed for some vicinity of axial force and bending moment values. When axial force is a constant and transverse force increases, both axial and transverse displacements tend to increase. If transverse force is a constant and axial force increases, both displacements increases but dependence lines remain different and depend on cross-section shape parameter equal to the ratio of the flange area and the area of the whole cross-section. A distinguished feature of plastic deformations is dependence on the history of loading a frame of which can be selected in an arbitrary way by an investigator if a quasi-static solution is under examination. The loading of a frame and inertia forces have to be deduced if dynamic analysis is studied. Not only the ultimate result but also the way of approaching a plastic piston – plastic hinge is important. The bended and compressed column is the structure when inelastic dynamic analysis is really important.

Plastic Deformation of Semi-Infinite Beams Subject to Transverse Impact Loading at the Free End

1956 ◽  
Vol 23 (2) ◽  
pp. 239-243
Author(s):  
M. F. Conroy
Keyword(s):  
Plastic Deformation ◽  
Impact Loading ◽  
Constant Velocity ◽  
Bending Moment ◽  
Transverse Force ◽  
Square Root ◽  
Transverse Loading ◽  
Transverse Impact ◽  
Velocity Impact ◽  
Time Part

Abstract The object of this paper is to consider the plastic deformation of semi-infinite beams subject to dynamic transverse loading at the free end. The type of loading considered is that of a constant bending moment, together with a transverse force the magnitude of which is inversely proportional to the square root of time. Part 1 of the paper consists of a plastic-rigid analysis of the problem, based on the plastic-rigid analysis of infinite beams under transverse, constant velocity, impact loading developed by the author. Part 2 of the paper consists of an elastic-plastic solution of the problem, based on a theoretical analysis of the plastic deformation of infinite beams subject to transverse, constant-velocity impact loading developed by H. F. Bohnenblust. Specific problems are considered for which the deflection solutions obtained by elastic ideally plastic and rigid ideally plastic analyses are compared.

Large Cylindrical Bending of Rectangular Plates

1948 ◽  
Vol 15 (4) ◽  
pp. 335-343
Author(s):  
H. A. Lang
Keyword(s):  
Power Series ◽  
Bending Moment ◽  
Transverse Force ◽  
Rectangular Plates ◽  
Series Method ◽  
Uniform Load ◽  
Transverse Coordinate ◽  
Cylindrical Bending ◽  
Power Series Method ◽  
Explicit Expressions

Abstract This paper develops a “power-series” method which may be applied to the bending and buckling, of long, thin, rectangular plates when the deflection and curvature are large and the loading is a function of the transverse coordinate only. The method depends upon the constancy of a certain quantity, N + M2/2, whenever the loading is continuous. The condition of continuity may be removed and the results applied to any general loading. Explicit expressions, to any degree of accuracy, are obtainable for the bending moment, transverse force, and deflection. The method is applied to verify the theory of bending of a plate under uniform load, edges clamped or pinned. The problem of the elastica and the effect of discontinuous loads are discussed briefly.

Mechanical Analysis of Cycloid Gear Rod

2014 ◽  
Vol 926-930 ◽  
pp. 797-801
Author(s):  
Yan Qiu Liu ◽  
Yan Ping Peng ◽  
Tao Chen
Keyword(s):  
Bending Moment ◽  
Longitudinal Force ◽  
Mechanical Analysis ◽  
Transverse Force ◽  
Transmission Mechanism ◽  
Force Direction ◽  
The One

This article aims at the fracture problem of the transmission linkage of swaying yarn machine, based on the improved transmission mechanism, used the theory of Kinematics and Mechanics, the paper analyzed and calculated the transverse force and the longitudinal force on the transmission linkage of the swaying yarn machine, and got the force direction and size, and the maximal position and value of bending moment in the one rotary process of the driving crank of transmission linkage, to supply the theory basis of solving the problem of transmission fracture of swaying yarn machine.

Wave Groups in the Flexural Motion of Beams Predicted by the Timoshenko Theory

1954 ◽  
Vol 21 (4) ◽  
pp. 388-394
Author(s):  
R. A. Anderson
Keyword(s):  
Classical Solution ◽  
Shear Force ◽  
Wave Length ◽  
Length Distribution ◽  
Bending Moment ◽  
Transverse Force ◽  
Flexural Behavior ◽  
Timoshenko Theory ◽  
Wave Groups ◽  
Infinite Beam

Abstract Solutions are obtained for the wave-length distribution of the bending-moment and shear-force responses in an infinite beam to ① a concentrated transverse-force impulse; ② a concentrated bending-moment impulse. These solutions are determined with the aid of a recent classical solution (1) for the flexural behavior of beams according to the Timoshenko theory. The results are used to predict the number and nature of the bending-moment and shear-force discontinuities propagating from disturbances of the type of 1 and 2.

Examination of Rabbit Fc Crystals

1968 ◽  
Vol 26 ◽  
pp. 140-141
Author(s):  
J. P. Robinson ◽  
P. G. Lenhert
Keyword(s):  
Molecular Weight ◽  
Flat Plate ◽  
Phosphate Buffer ◽  
Asymmetric Unit ◽  
X Ray Diffraction ◽  
X Ray ◽  
Neutral Ph ◽  
Small Crystals ◽  
Carbon Coated ◽  
Diffraction Patterns

Crystallographic studies of rabbit Fc using X-ray diffraction patterns were recently reported. The unit cell constants were reported to be a = 69. 2 A°, b = 73. 1 A°, c = 60. 6 A°, B = 104° 30', space group P21, monoclinic, volume of asymmetric unit V = 148, 000 A°3. The molecular weight of the fragment was determined to be 55, 000 ± 2000 which is in agreement with earlier determinations by other methods.Fc crystals were formed in water or dilute phosphate buffer at neutral pH. The resulting crystal was a flat plate as previously described. Preparations of small crystals were negatively stained by mixing the suspension with equal volumes of 2% silicotungstate at neutral pH. A drop of the mixture was placed on a carbon coated grid and allowed to stand for a few minutes. The excess liquid was removed and the grid was immediately put in the microscope.

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