Nonlinear Distribution of Bending Stresses Due to Distortion of the Cross Section

1953 ◽  
Vol 20 (1) ◽  
pp. 95-104
Author(s):  
H. H. Bleich
Keyword(s):  
Cross Section ◽  
Qualitative Agreement ◽  
Model Tests ◽  
Constant Cross Section ◽  
Passenger Ship ◽  
Bending Stresses ◽  
The Cross ◽  
Nonlinear Distribution

Abstract A theory is presented to explain the nonlinear distribution of bending stresses found in recent tests on a passenger ship with long superstructure and in model tests. The hull and the superstructure are considered as separate beams which are forced to act together by shearing forces and by vertical forces resisting relative displacements of the two beams. The case of constant cross section of the beams is treated, and solutions in qualitative agreement with the tests are obtained for two types of loading.

Deflection of Beams of Varying Cross Section

1937 ◽  
Vol 4 (2) ◽  
pp. A49-A52
Author(s):  
Miklós Hetényi
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Original Problem ◽  
New Method ◽  
Constant Cross Section ◽  
Deflection Curve ◽  
Force System ◽  
Uniform Cross Section ◽  
The Cross

Abstract This paper calls attention to a new method of dealing with deflections of beams, the cross sections of which vary by steps. It is shown that the effect of this variation on the shape of the deflection curve can be represented by a properly chosen force system acting on a beam of uniform cross section. There is no approximation involved in this substitution, whereby the original problem is reduced to one of computing deflections of beams of constant cross section.

scholarly journals Flexure with shear and associated torsion in prisms of uni-axial and asymmetric cross-sections

1938 ◽  
Vol 237 (776) ◽  
pp. 161-229 ◽  
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Axial Symmetry ◽  
Harmonic Functions ◽  
Transverse Load ◽  
Constant Cross Section ◽  
Principal Axes ◽  
The Cross ◽  
Axes Of Symmetry ◽  
Perpendicular Axis

It is now well over eighty years ago since Barre de Saint-Venant reduced the problem of the beam of constant cross-section under the action of a single transverse load to the search for plane harmonic functions satisfying a certain condition round the boundary of the cross-section. The solutions due to Saint-Venant, which include the rectangular, elliptic and circular cross-sections, are all cases in which the cross-sections have two axes of symmetry at right angles, meeting of necessity in the centroid of the cross-section, and along these axes the single transverse load is resolved. These axes are principal axes, and his solution depends upon this fact. Some less useful solutions exist for the load along one axis of certain beams of such bi-axial symmetry of cross-section, the solutions not yet being known for the load along the perpendicular axis.

scholarly journals Complex bend of multilayered concrete rods

2019 ◽  
Vol 221 ◽  
pp. 01048
Author(s):  
Yuri Nemirovskii ◽  
Sergey Tikhonov
Keyword(s):  
Small Parameter ◽  
Cross Section ◽  
Arbitrary Shape ◽  
Solution Method ◽  
Parameter Method ◽  
Layer By Layer ◽  
Constant Cross Section ◽  
Bending Moments ◽  
Small Parameter Method ◽  
The Cross

The problem of complex bend of multilayered rods based on concrete is considered. It is assumed that the rod of constant cross-section is of arbitrary shape and different brands of concrete are used in the cross-section of the rod layer by layer. The solution is sought by the small parameter method. The case of a complex bend of the rod pinched at both ends is considered as an example of this solution method. The distribution of bending moments and longitudinal forces in the zero and first approximations is determined.

scholarly journals Dynamics of hybrid hardening and viscoplastic beams under explosive effects

2020 ◽  
pp. 115-123
Author(s):  
Юрий Владимирович Немировский
Keyword(s):  
Cross Section ◽  
Deformation Model ◽  
Constant Cross Section ◽  
Viscoplastic Deformation ◽  
The Cross ◽  
Dynamic Damage

Рассматриваются полиметаллические балки постоянного поперечного сечения из наборов упрочняющихся и вязкопластичных материалов с двухсимметричным их расположением в поперечном сечении. Считается, что балки находятся под воздействием нагрузок взрывного типа. Для всех материалов использована модель жестко-вязкопластического деформирования и приняты классические гипотезы деформирования Кирхгофа. Для биметаллических шарнирно-опертых балок получены общие уравнения деформирования и описан метод их решения. Определены остаточные формы динамического повреждения. We consider polymetallic beams of constant cross-section from sets of hardening and viscoplastic materials with their two-symmetric arrangement in the cross-section. The beams are considered to be subject to explosive loads. For all materials, a rigid-viscoplastic deformation model was used and the classical Kirchhoff deformation hypotheses were adopted. For bimetallic hinged- supported beams, general equations of deformation are obtained and a method for their solution is described. Residual forms of dynamic damage were determined.

scholarly journals Extensions of d'Alembert's paradox for elongated bodies

2015 ◽  
Vol 471 (2181) ◽  
pp. 20150106
Author(s):  
Philippe R. Spalart
Keyword(s):  
Cross Section ◽  
Unit Length ◽  
Angle Of Attack ◽  
Three Dimensional ◽  
Added Mass ◽  
The Body ◽  
Pitching Moment ◽  
Constant Cross Section ◽  
Slender Body Theory ◽  
The Cross

The steady incompressible irrotational flow past a three-dimensional body of any shape generates no forces. The historic paradox refers only to drag, but lift is also zero, which has been known but not emphasized. The new material concerns a body with a long constant cross section, such as a train. The final results for forces and moments are very simple. With zero angle of attack, we show that the force vectors on the front and rear parts of the body are each (asymptotically) equal to zero, if the pressure is referred to the freestream pressure. The lift and drag coefficients, based on frontal area, vanish proportionally to d / l and ( d / l ) 2 , respectively, where d / l is the diameter-to-length ratio. This applies to any shape of the cross section, and of the ends. With an angle of attack, the nose and tail forces are non-zero but depend only on the angle of attack and the cross section's added mass per unit length. The pitching moment is proportional to the total added mass and the sine of twice the angle of attack. The present results clarify slender-body theory results. The practical consequence is that, for a long body with constant cross section, the shape of the nose or the tail is irrelevant to its own ‘partial’ drag and lift, and to the pitching moment.

A New Approach to the Demonstration of Oxidase-Localization Using Tannic Acid Or Catechin

1973 ◽  
Vol 31 ◽  
pp. 698-699
Author(s):  
V. Mizuhira ◽  
Y. Futaesaku
Keyword(s):  
Cross Section ◽  
Tannic Acid ◽  
Elastic Fiber ◽  
The Other ◽  
New Approach ◽  
Tissue Block ◽  
Active Reaction ◽  
The Cross

Previously we reported that tannic acid is a very effective fixative for proteins including polypeptides. Especially, in the cross section of microtubules, thirteen submits in A-tubule and eleven in B-tubule could be observed very clearly. An elastic fiber could be demonstrated very clearly, as an electron opaque, homogeneous fiber. However, tannic acid did not penetrate into the deep portion of the tissue-block. So we tried Catechin. This shows almost the same chemical natures as that of proteins, as tannic acid. Moreover, we thought that catechin should have two active-reaction sites, one is phenol,and the other is catechole. Catechole site should react with osmium, to make Os- black. Phenol-site should react with peroxidase existing perhydroxide.

Energy Distribution in Electron Beams

1972 ◽  
Vol 30 ◽  
pp. 568-569
Author(s):  
Tamotsu Ohno
Keyword(s):  
Electron Beam ◽  
Energy Distribution ◽  
Cross Section ◽  
Integral Curve ◽  
Electron Beams ◽  
Electron Gun ◽  
Angular Divergence ◽  
Apparent Increase ◽  
Integral Width ◽  
The Cross

The energy distribution in an electron; beam from an electron gun provided with a biased Wehnelt cylinder was measured by a retarding potential analyser. All the measurements were carried out with a beam of small angular divergence (<3xl0-4 rad) to eliminate the apparent increase of energy width as pointed out by Ichinokawa.The cross section of the beam from a gun with a tungsten hairpin cathode varies as shown in Fig.1a with the bias voltage Vg. The central part of the beam was analysed. An example of the integral curve as well as the energy spectrum is shown in Fig.2. The integral width of the spectrum ΔEi varies with Vg as shown in Fig.1b The width ΔEi is smaller than the Maxwellian width near the cut-off. As |Vg| is decreased, ΔEi increases beyond the Maxwellian width, reaches a maximum and then decreases. Note that the cross section of the beam enlarges with decreasing |Vg|.

Research in the cross-section of community psychology and global climate change: A call for action

2009 ◽  
Author(s):  
Marci Culley ◽  
Holly Angelique ◽  
Courte Voorhees ◽  
Brian John Bishop ◽  
Peta Louise Dzidic ◽  
...  
Keyword(s):  
Climate Change ◽  
Cross Section ◽  
Global Climate Change ◽  
Community Psychology ◽  
Global Climate ◽  
The Cross

Experimental Studies Of Multilayer Glass Structures On Compression, Compression With Bending And Simple Bending

2019 ◽  
pp. 22-30
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Applied Load ◽  
Experimental Studies ◽  
Strength Properties ◽  
Research Topic ◽  
Normative Values ◽  
Laminated Glass ◽  
The Cross ◽  
Experimental Values

The work of multilayer glass structures for central and eccentric compression and bending are considered. The substantiation of the chosen research topic is made. The description and features of laminated glass for the structures investigated, their characteristics are presented. The analysis of the results obtained when testing for compression, compression with bending, simple bending of models of columns, beams, samples of laminated glass was made. Overview of the types and nature of destruction of the models are presented, diagrams of material operation are constructed, average values of the resistance of the cross-sections of samples are obtained, the table of destructive loads is generated. The need for development of a set of rules and guidelines for the design of glass structures, including laminated glass, for bearing elements, as well as standards for testing, rules for assessing the strength, stiffness, crack resistance and methods for determining the strength of control samples is emphasized. It is established that the strength properties of glass depend on the type of applied load and vary widely, and significantly lower than the corresponding normative values of the strength of heat-strengthened glass. The effect of the connecting polymeric material and manufacturing technology of laminated glass on the strength of the structure is also shown. The experimental values of the elastic modulus are different in different directions of the cross section and in the direction perpendicular to the glass layers are two times less than along the glass layers.

Sign in / Sign up

Export Citation Format

Share Document