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Toshio NISHIHARA, Taichi FUJII
1952 Volume 18 Issue 65 Pages
1-4
Published: January 20, 1952
Released on J-STAGE: March 28, 2008
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The load distribution on the threads has been investigated in the case of linear deflection of the thread. In this paper, we consider that the deflection of the thread is proportional to the m-th power of the load on the thread. We introduced a fundamental differential equation and calculated the load distribution. We may conclude that the load distribution becomes more uniform when the load and the power index m increase.
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Toshio NISHIHARA, Haruoki MAEDA, Taichi FUJII
1952 Volume 18 Issue 65 Pages
5-9
Published: January 20, 1952
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As found by the photo-elasticity and other experiments, the concentrated stress at the root of bolt head reaches very high value depending upon the form of bolt head, i.e. the radius of curvature ρ at the root of bolt head, height and diameters of bolt head and bolt shank etc. Especially the effect of ρ is most remarkable, then we performed the fatigue test in the case of different ρ. The results of test show that the fatigue strength increases as ρ becomes larger.
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Toshio NISHIHARA, Taichi FUJII
1952 Volume 18 Issue 65 Pages
9-15
Published: January 20, 1952
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We investigated the method of finding the stress distribution in a notched round bar in the case of uniform tension. We dealt with the problem using the displacement function and stresses expressed by this function. The displacement function has always to satisfy the next condition interior of the body [numerical formula] and the stress expressed by this function must be in equiblium with the outer force acting on the boundary. From this condition, we introduced the relation between the displacement function and the boundary condition. The calculation of the displacement function and the stresses is performed by the difference method. And then we calculated the stress in a round bar with semi-circular notch whose radius is equal to that of the smallest section of the bar.
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Hajimu OKUBO
1952 Volume 18 Issue 65 Pages
15-19
Published: January 20, 1952
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The object of the paper is to find a solution for the torsion problem of a shaft with longitudinal notches. Formerly, Shepherd obtained a solution for a circular section with one notch and that with two, using elliptic functions. In the way employed by him, calculations become very troublesome. We find a solution for a shaft with m notches in a simple form, using elementary functions. As an application of the solution, we introduced an approximate solution for a circular section with shallow notches of any form.
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Hajimu OKUBO
1952 Volume 18 Issue 65 Pages
19-23
Published: January 20, 1952
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The torsion problem for a circular cylinder with a number of longitudinal notches has been solved mathematically. In the particular case of one notch, the relations between the maximum stress and the radius of curvature at the bottom of the notch or the depth of notch are clarified. As an example, the problem for a circular shaft with one keyway, in the form of the practical use, is solved. The results are compared with those obtained experimentally or numerically by the previous writers. We find there is a considerable discrepancy between the former and the latter in the results obtained theoretically and experimentally.
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Yoshio OHASI
1952 Volume 18 Issue 65 Pages
24-25
Published: January 20, 1952
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I should like to point out that we could have far precise numerical solution we same labour as the solution obtained by Mr. Aramaki's method on the same problem as this title in the Journal of J.S.M.E. Vol. 52, No. 364 (April 1949) p. 84. Formerly, we have discussed in the case of torsion problem of such the shaft (Journal of J.S.M.E., Vol. 52, No. 370 (Oct. 1949) p. 377), and here we compare the new solution with the Mr. Aramaki's Method in the case of bending problem.
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Hazime NAKAZAWA
1952 Volume 18 Issue 65 Pages
25-29
Published: January 20, 1952
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The author treated the problem of torsion of a prismatic cylinder by deriving a torsional stress function : - [numerical formula] The cylinder has the hyperbolic bow section whose boundary is composed of a straight line and a kind of hyperbolic curve. Experiments have been done on the test pieces with hyperbolic bow section and also with circular-arc bow section. The above stress function derived can approximately be applied to the test pieces with circular-arc bow sections with small thickness.
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Atsubumi OKUMURA
1952 Volume 18 Issue 65 Pages
30-36
Published: January 20, 1952
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The first problems of this kind were discussed by A.G. Greenhill in connection with the strength of the propeller shaftings of ships. But the results given there were in error, excepting the case of a shaft running in two short end bearings, due to negligence of fixing couples at the ends-this was pointed out by G. Temple and W.G. Bickley. For a supplement the author treats this problem under many typical of boundary conditions, by using the complex representation for the deflection of a shaft in space. This treatment has certain advantages of symplifying the analysis and expressions.
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Tatuji KAWAGUCHI
1952 Volume 18 Issue 65 Pages
36-41
Published: January 20, 1952
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(This Paper was read before the Meeting of the Japan Society of Mechanical Engineers and Applied Mechanics held in Nagoya on the 26th. Nov. 1945) The solution for an internal pressure acting at a circular hole in the center of a regular polygonal tube can be obtained from the following complex function z=C∫ (1-t
n)
n^^2 dt, z=x+iy, t=ρ (cos θ+i sin θ) using the orthogonal curvilinear coordinate. The differential equation for Airy's stress function F in this case becomes [numerical formula] where h
2=c
-2 (1-2ρ
ncosnθ+ρ
2n) n^^2 The boundary conditions for this problem are σ
ρ=0, τ
ρθ=0 for ρ=1 σ
ρ=-p, τ
ρθ=0 for ρ=ρ
0, where σ
ρ, σ
θ, represent a normal stress acting a curve of ρ=const. and θ=const. on the x, y plane, and τ
ρθ a tangential stress acting along the both curves. Then σ
ρ, σ
θ, τ
ρθ and F can be write in the following form : [numerical formula] where A
o, A
s, B
s, C
o, C
s and D
s are constants and they are determined by the boundary conditions. The details are descibed in the original paper.
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Toshio NISHIHARA, Kichinosuke TANAKA
1952 Volume 18 Issue 65 Pages
42-46
Published: January 20, 1952
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When the moments are given to a thin plate along its boundaries, the deflection function is biharmonic. And, if the boundary conditions of the plate are mathematically similar to those to be satisfied by Airy's stress function, we can find the Airy's stress function as the deflection of the plate. We make use of this mathematical similarity as a mean for experimental stress analysis. For this purpose we have to prepare an elastic plate satisfying the several necessary conditions and to device a method by which the deflection can be measured precisely. We made an experiment with several kinds of plates and concluded that the glass plate is the most suitable. We tried to measure the deflection, the first and the second derivative of the plate surface by various methods, and we found that the roughness meter may by used for measuring the deflection with high accuracy. Using the glass plate and the roughness meter, we analysed the stress distribution in plates having notches or fillets.
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Minoru KAWAMOTO, Kunio NISHIOKA
1952 Volume 18 Issue 65 Pages
46-49
Published: January 20, 1952
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It has been recognized that, owing to the notch effect, the fatigue failure of the crank shaft begins at reentrant corner formed of the arm and the crank journal or crank pin, but the notch effect has not been known entirely. E. Lehr took the value of the form factor approximately that of the angle plate, which is similar to the cross section of the crank shaft. In order to design the crank shaft, the notch factor of reentrant corners more necessary for us than the form factor of that. And so in this investigation the fatigue tests with the model specimens of medium hard steel, similar to the crank, was carried out, and the notch factor at the reentrant corner was obtained. The experimental results are shown in Table 1, where ρ is the fillet radius of reentrant corner and d the diameter of journal part, and the value of the form factor is calculated from the experimental formula, which was obtained. by Kettenacker's photoelastic test on the angle plate similar to the cross section of our model specimen. And it was clarified from Table 1 that the value of the notch factor is much smaller than that of the form factor and slightly affected by the ratio of ρ/d. Table 1 Experimental Results [table]
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Takuo HAYASI, Tomoya OTA
1952 Volume 18 Issue 65 Pages
50-53
Published: January 20, 1952
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The problem of determining the stresses in an orthogonal aerotropic plate have been investigated by many authors, but they are hiefly in the cases, either of a plate having straight boundaries or of an infinite plate with a circular or an elliptic hole. In the present paper the aerotropic plate is supposed to be bound by two hyperbolic edges, and solutions are sought in three cases, namely under pure tension, pure shear and pure bending. The process used is similar to the Neuber's method, and in each case the coefficient of stress concentration is obtained in a simple form.
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Fumiki KITO
1952 Volume 18 Issue 65 Pages
53-57
Published: January 20, 1952
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We take a circular plate of external radius R, its thickness being non-uniform and varying according to the law : h=h
0(R
1-r)/R
1, where R
1>R. The transverse load acting on this plate is distributed by a linear law : p=p
0(1+kr/R
1). Stress distribution in such a plate of non-uniform thickness and subject to non-uniformly distributed transverse load, has been calculated and the result was shown as numerical tables and curves.
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Hajimu OKUBO
1952 Volume 18 Issue 65 Pages
58-62
Published: January 20, 1952
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In this paper, the pressure distribution on the contact surface between a semi-infinte body and a pillar, has been clarified mathematically for the two-dimensional case. As the first approximation, the condition on the vertical surfaces of the pillar is omitted, and the accurate solution is obtained by means of successive approximation.
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Fujio NAKANISHI, Satoshi OKAMOTO
1952 Volume 18 Issue 65 Pages
63-67
Published: January 20, 1952
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The effect of stress distribution at rupture is discussed. By the author's theory, the rupture of a thin hollow cylinder occurs when the principal stress attains a definite value σ
B, the tensile strength of the material under uniform stress. For a solid cylinder of ordinary cast iron, [numerical formula] where, d=diameter of the cylinder, and M
B=torsional moment at rapture. As for the strain, the solid cylinder can endure twice or more the strain of thin hollow cylinder. Experiments were carried out ; theory and experiments conform very closely.
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Fujio NAKANISHI
1952 Volume 18 Issue 65 Pages
67-71
Published: January 20, 1952
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The results of studies made so far on the yield point of mild steel are applied to the yielding of cylinders under internal pressure. With thick cylinders, the yielding begins from the internal layer, and spreads gradually to outer layers as pressure increases. With cylinders, in which the ratio of external and internal diameter is less than 1
.55, the yielding occurs through the wall under a constant internal pressure.
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Hiromu OGAWA
1952 Volume 18 Issue 65 Pages
71-78
Published: January 20, 1952
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This paper is concerning to the drawing force by the curved surface (hyperbolic revolution) die when the yield limit of drawing material is constant at the die-inlet and outlet. Here the drawing force obtained by way of summing up (1) the force to deform the material, (2) the frictional force acting between the die-wall and material, and (3) the force required to bend the material fibers at the die inlet and each points on die-wall. The author examined the formula to look for the die shape by which the minimum drawing force would be attained, and made cleared that there was an ideal die shape, which could be determined only by the frictional coefficient between the material and die-wall and regardless of the area-reduction ratio. Next, he investigated the shapes of some dies on the market and the other factors.
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Hiromu OGAWA
1952 Volume 18 Issue 65 Pages
78-83
Published: January 20, 1952
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This paper describes the experiment executed by the present author for the purpose of finding out how far the actual drawing coincides with the formula which the author had reported in his first report. The author measured the forces with which the low carbon steel was actually drawn through the dies of four different kinds, all of which had been purchased from the ordinary suppliers. Soap and lime water was used as a lubricant, the drawing area reduction being 75-90%. And he made cleared that the measured values of drawing forces well coincided with the calculated values, if the latter were calculated by assumed values of frictional coefficients which were inclined to decrease according to the increase of the normal pressure acting between die-wall and material.
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Toshio NISHIHARA, Shuji TAIRA
1952 Volume 18 Issue 65 Pages
84-89
Published: January 20, 1952
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Nowadays, one of the most important problems in the field of the strength of materials is the yielding condition under non-uniform stress distribution. This paper deals with the result of investigation on the yielding of bars under bending moment. The stress existing in the yielding baran is measured by means of X-ray and then the yielding mechanism is treated theoretically. When a bar is loaded in bending under an increasing load, the bending moment increases to some extent proportionally to the deflection, as is well known, even after the former excees the moment M
s, which is the moment value when the stress of the outermost layer just reaches the yield stress σ
s. That is, the yield stress seems to be raised. As the result of present experiment, however, stress value exceeding the definite yield stress σ
s is never found even at a moment over M
s. The measured stress distribution inside a bent bar subjected to a moment over M
s will be stated. Basing on the experimental results, the yielding mechanism under bending moment is theoretically treated. By the analysis the yielding phenomenon is found to be reasonably explained.
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Toshio NISHIHARA, Shuji TAIRA
1952 Volume 18 Issue 65 Pages
90-94
Published: January 20, 1952
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In the last paper, the author's idea on the yielding mechanism of steel under bending moment and its theoretical treatment were Stated. The result of the application of the theory is shown in the present report. The theoretical moment-deflection curves are calculated with regard to some kinds of carbon steel with some kinds of the form of cross-section and compared with the experimental results. As the result, it is found that the yielding phenonenon of steel in bending can be generally explained by the author's theory.
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Moriji MASUDA, Otohiko MISHIRO
1952 Volume 18 Issue 65 Pages
94-97
Published: January 20, 1952
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In this report, as the first step of analysis of rectangular drawing of sheet metal, the strain distribution is evaluated. The grid pattern was mechanically drawn on the surface of an aluminum disk of 0
.5 mm thick by means of a scriber, and the disk was drawn with square dies set on double action cam drawing press. Deformaton of the grid pattern was measured with U.M.M. and change of thickness with an optimeter. From these results the magnitude and direction of principal strains were calculated.
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Akira YAMAMOTO, Sinsuke TANAKA, Siniti KATAOKA
1952 Volume 18 Issue 65 Pages
97-103
Published: January 20, 1952
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The drawing of steel wire was carried out at various temperatures ranging from the room temperature to 600°C. This is possible, and the wire was protected from oxidation, being coated by the Perkarizing-process and drawn using especially soap or graphite, as the lubricant, which was found very good. By the drawing temperature, deformation is divided into three zones-room temperature zone, blue brittleness temperature zone, and recrystallizing temperature zone. Mechanical properties, distribution of fibre structures, micro- and macro-structures, and distribution of residual stresses are varied at each zone, and each deformation mechanism was discussed. Above all, mechanical properties behaves as if the one characterized at the temperature tawhich drawing is carried, is frozen to the room temperature.
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Fujio NAKANISHI
1952 Volume 18 Issue 65 Pages
104-109
Published: January 20, 1952
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A new criterion is proposed. It is considered that the fatigue failure occurs in two stages ; the fatigue under cyclic shearing stress and the failure under normal tensile stress. Strength of the material is reduced by fatigue, and this reduction of tensile strength across a certain plane is considered, when the fatigue is saturated, to be proportional to the component of the cyclic shearing stress on that plane. As to the failure, the law of failure will be quite similar to that under static stress, of course the effect of stress distribution being taken into account. Fatigue limits under cyclic tension-compression, cyclic torsion and rotating bending were respectively calculated from the above hypothesis. The ratio of the limit under torsion to that under bending conforms closely with experiments. The ratio of the limit under tension-compression to that under bending also conforms closely with some experiments. But in some other cases they do not conform. In this respect further studies will be necessary.
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Fujio NAKANISHI
1952 Volume 18 Issue 65 Pages
110-114
Published: January 20, 1952
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Endurance limit diagrams under tension-compression, bending and torsion were calculated respectively from the hypothesis proposed by the author in the previous paper. They conform very closely with experiments.
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Fujo NAKANISHI
1952 Volume 18 Issue 65 Pages
114-117
Published: January 20, 1952
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Fatigued region in mild steel can be detected by etching. The data of the depth of etched layers of round bars fatigued under cyclic torsion and rotating bending were examined. The conclusions are that the degree of fatigue of a point cannot be determined by the stress at that point only, but it is determined by a mean value of the stress in a certain region around that point, the area of the region being a constant for the material. When the fatigue is a function of radius only as in cases of torsion and rotating bending, a certain length along the radius may be taken instead of the area.
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Fujio NAKANISHI
1952 Volume 18 Issue 65 Pages
118-122
Published: January 20, 1952
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The effect of stress distribution on fatigue was explained in the previous paper. Here, taking this effect into account, fatigue limits under cyclic tension-compression, cyclic torsion and rotating bending were calculated respectively. The ratio of fatigue limit under torsion to that under bending conforms very closely with experiments. As for the ratio of the limit under tension-compression to that under bending, the calculated value formerly did not conform with experiments in some cases. Now, the effect of stress distribution on fatigue being taken into account, the calculated value conforms with experiment in any case.
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Toshio NISHIHARA, Taichi FUJII
1952 Volume 18 Issue 65 Pages
123-125
Published: January 20, 1952
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The stress distribution in the screw joint is affected by the load distribution on the threads. We performed the fatigue test using five kinds of nuts, i.e. nut of ordinary form with three different heights (8 mm, 5 mm, 3 mm), crown nut, and reversed crown nut for the purpose of different load distribution on the threads. As the results of test, we found the fatigue strength of screw joint decreases according to the increase of m
1, the ratio of the load acting on the first thread to the total load.
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Kazuo NAKAMURA, Tadakatu SUGIMOTO
1952 Volume 18 Issue 65 Pages
125-128
Published: January 20, 1952
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As the result of long use, the load-deflection characteristics of existing laminated springs for passenger and freight cars are varied, that is, with the increase of load, spring rigidity increases over the initial value, whereas it decreases under light load. The authors have investigated causes of the rigidity change and have found that the main causes lie in the opening of leafends and the binding of leaves at spring center. To maintain the initial rigidity, 1) leaf strength should be so decided that the shorter-leaf-yielding may be prevented or the nip should be reduced, 2) rust-proofing proccsses such as oil-coating should be applied to the leaf-surfaces. The pressure distribution between adjacent leaves was measured and pressure concentration on both ends of leaf was made clear, which, it is considered, will serve as data for calculation of spring stress.
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Hiroshi NISHINO
1952 Volume 18 Issue 65 Pages
129-131
Published: January 20, 1952
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This report descibes the calculation of the shape and transmissibility of the vibration of the shock-absorber made of rubber or lethers, so-called non-linear elastic materials, in which the spring force is not proportional to the stress. Using the stress x as variable, the spring force P is approximately represented as follows : - [numerical formula] When the external force is A sinωt, the effect on the transmissibility, owing to the nonlinearity, depends on the term α·A
2/n
6. But the ratio ω/n is generally high in the shock-absorber, and so that the effect can be ignored.
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Toshio TAKAHASHI
1952 Volume 18 Issue 65 Pages
131-138
Published: January 20, 1952
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On vibrations with solid friction damping there are Den Hartog's essays and the others, but these essays treat only the case that frictional forces are constant during the vibrations. On the contrary, as one of the cases that the frictional forces vary with the motion, the author investigated theoretically and experimentally the free and forced vibrations of plate springs consisted of one sheet with solid friction damping at their ends. The plate springs are circular arc shapes, the curvatures of which are comparatively large and the thicknesses are very small compared with the radii. The frictional forces consist in the return forces, the characteristic return force curve has two natural frequencies and the free and forced vibrations which are acted upon by a periodic disturbing force were solved theoretically. On the experimental measurements of the vibrations, models of the plate spring were made and the vibrations were measured by electro-magnetic ocsillograph. And the results of the experiment agreed with the calculations by the theory.
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Gunji SHINODA, Tadashi KAWASAKI
1952 Volume 18 Issue 65 Pages
138-142
Published: January 20, 1952
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The effect of external stress on the ferro-magnetism has been studied by many investigators, and recently Bozorth studied the strain sensitivity of permalloy to magnetism. According to the results of our experiment about changes of magnetic induction caused by tension and compression below the elastic limit, induction of mild steel increased rapidly as the increase of stress at first, and reaches to a maximum. Then induction decreases slowly as stress increases. When stress was small, the relation between induction B and stress σ would be represented by the following expression, and we obtained fairly good agreement between observed values and calculated ones. [numerical formula] where B
s is the saturation induction, B
0 is the value of induction when σ=0, and c is a fundamental constant which depends upon materials, - for given material c=0.04. Generally, strain sensitivity ∧is a function of induction B, and it has a maximum value when the induction has a value corresponding to maximum permeability, and we found that the expression of strain sensitivity of permalloy, introduced by Bozorth, holds well for mild steel. In this case, it is assumed that the anisotropy constant of mild steel is about half of that of pure iron and perhaps it will be the effect of carbon.
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Tosimitu TUMURA, Hideo YAMADA
1952 Volume 18 Issue 65 Pages
142-145
Published: January 20, 1952
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The need for research of the elastic properties of metals at high temperatures has been pointed out in recent years, relating to the development of high temperature operating machineries or apparatuses. This paper describes one method of dynamical determination of elasticity and damping at high temperatures, by which the variation of Young's modulus and damping coefficients versus temperature can be determined quantitatively, at an extremely low stress, under 20 cps, and up to 1000°C. The variation of these values is not always monotone, but has an abrupt maximum or minimum at some temperatures. The characteristics of each material will be reported in the near future.
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Tomokazu ASANO, Shuro MACHIDA
1952 Volume 18 Issue 65 Pages
145-151
Published: January 20, 1952
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In this report, we offered a new definition of hardness and named instantaneous energy hardness. Then, it was noted that the well-known Meyer's hardness is the same in number as the instantaneous energy hardness. The general relation of the law of similarity, which must exist in the measurement of energy hardness, was discussed, being proved by experiments. It was shown that Dr. Honda's constants "α"and"k"are not only due to the property of material, but they are inversely and directly proportional to the radius of ball respectively. When a cone-penetrator is used, a parabolic relation exists between the applied load P and the indentated depth h, which may be written P=kh
2. As far as the vertex angle θ of the cone penetrator remains constant, the absorbed energy K per unit volume of indentation also remains constant. It is written [numerical formula], where α and b are constants which depend only on the property of material.
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Yugoro ISHII, Hatsutaro KIKUCHI
1952 Volume 18 Issue 65 Pages
151-157
Published: January 20, 1952
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There are occasions when we wish to require the three dimensional stress from as few films as possible in order to cut down the hours for the measurement by X-ray. According to the theory, all elements of the stress are obtained from three films, and a special elements of the stress are obtained from one or two films. In these cases, formulas which the authors introduced before can not be employed, and consequently, they introduced new formulas for this requirement in this paper. At the same time, problems of errors of the measurment are treated numerically.
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Akira YAMAMOTO
1952 Volume 18 Issue 65 Pages
157-158
Published: January 20, 1952
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In order to give adequate tightening force for a bolt joint, sometimes a torque wrench is used. The objects of the present paper are to find the true value of coefficient of friction between bolt and nut and to estimate the adequate pre-fastening force which is necessary to decide what torque indication should be given to the torque wrench. As the result, the author recommends the ordinary value"0.1∼0.2"for the coefficient of friction and one-half the yielding stress of the material calculated by the core section of the bolt for the pre-tightening force.
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Kikusaburo NAGASHIMA, Masao SHIBAHARA, Yoshiharu NAKAMURA
1952 Volume 18 Issue 65 Pages
159-162
Published: January 20, 1952
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A theoretical study of the stress in a spoked wheel produced by horizontal load was made in the second report by one of the writers. In succesion to this study, they made the following studies. (a) Experimental studies of the stress, by making use of a set of axle and spoked wheels which has suitable dimensions for the comparison of calculated and experimental values of stress. (b) The comparison between the calculated and experimental results of stress in the spoked wheel caused by a horizontal load. In this study, the calculation of the stress is made applying the theoretical equations and numerical results in the second report. (c) Experimental and theoretical studies of the axle deflection and the change of back-gauge when the horizontal load acts on the spoked wheel axle. As the results of these studies the following conclusions can be reached. (1) Experimental values of stresses in spokes under the horizontal load accord with the calculated values. With this fact, it is clear that previously made theoretical study of this problem is correct. (2) Experimental values of the axle deflection and the change of back-gauge accord with the calculated values approximately. But we have no objection to using the calculated values, that is, we can find the horizontal load by means of measuring the change of back-gauge.
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Kikusaburo NAGASHIMA, Masao SHIBAHARA
1952 Volume 18 Issue 65 Pages
162-170
Published: January 20, 1952
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Theoretical and experimental studies on the stress in a spoked wheel produced by a horizontal load have been made in the second and third reports. In succesion to these studies, the writers made a theoretical study on the stress produced by a vertical load in a spoked wheel. Pippard-Baker and Kreissig studied this problem already, but their reports are not complete and we cannot find how much load acts on the each spoke, that is, the strength of spoked wheels under veritical load has never been made clear yet. From this point of view, in this report they introduced theoretical equations for the stresses produced by vertical load in each part of the spoked wheels, In these equations, the tire and the rim are treated as rings. That is to say that the tire is a ring on which a load acts from outside and the rim is also a ring on which the reaction force acts through the spokes from inside. and the spokes are treated as the beams on which the tensile force, the bending moment and the shearing force act at the boss and their rim-side roots. Numerical examples for the wheels of railway rolling-stock under vertical load will be shown also in this report.
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Kikusaburo NAGASHIMA, Masao SHIBAHARA, Yoshiharu NAKAMURA
1952 Volume 18 Issue 65 Pages
170-174
Published: January 20, 1952
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In succession to the previous study, the writers made the following studies. Numerical calculations, experimental studies and comparisons of the stresses caused by vertical load In spokes, rims and tyres of wheels. Axle deflection and the change of back-gauge of a set of spoked-wheel and axle under the vertical load was also studied. As the results of these studies, the following conclusions can be reached. (1) Experimental values of stresses in wheels, under vertical load, accord with the theoretical values. (2) Variations of radial pressure between rim and tire, due to vertical load, are negligibly small to tire slacking. (3) Experimental values of the deflection of axle and change of back-gauge agree with the calculated values.
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Masao SHIBAHARA
1952 Volume 18 Issue 65 Pages
174-175
Published: January 20, 1952
Released on J-STAGE: March 28, 2008
JOURNAL
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The writer made the studies on the stresses in a tire with elliptical allowance at inner surface under shrinkage fit to the circular wheel. These stresses are compared with that due to general fitting allowance, and relations between these stresses and tire thickness are shown, by making use of the results of numerical calculations. For practical purposes, we find that elliptical inner surface of a tire has not effects on the shrinkage stresses almost.
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