Vol. 11, No. 4 (1955)
The binding energies of nuclei H3. He3, He4, the low energy n-p scattering length and effective range are calculated by using the standard variational methods. A two-range central Yukawa potential is considered in the first two sections. The longer range corresponds to the π meson mass. The smaller range corresponds either to the heavier meson or to the higher order field interactions. No repulsive core appears, when the force parameters are chosen to fit the low energy scattering and deuteron data. The calculated binding energies of nuclei H3, He3 and He4 are too high. This result is in agreement with most of the previous calculations. Tensor force of the Schwinger mixed type is considered in the third and fourth sections. The force parameters are chosen to fit the low energy two body data. They are not uniquely determined and are given for a set of possible D-percentage values. The adding of the tensor force reduces considerably the calculated binding energies of nuclei H3, He3, He4. But still, the calculated values increase too fast with the mass number. It does not fit the triton and helium binding energies simultaneously. The possibility of adding many body forces is discussed at the end of the paper.
This paper investigates the general and complete form of slope-deflection equations used in structural analysis. The word "complete" indicates that all the possible deformations (deflections and rotations) and all the strain energies (due to shear, direct stress and flexure) are included in the equations. The definitions, numbers, and relations of member constants are then discussed and the general equations for computing these constants are given. By neglecting the factors of minor importance, the general form is reduced to the usual slope-deflection equations. Some special forms of such equations which are useful in certain practical problems are also discussed briefly, such as the slope-deflection equations including the effect of direct stress on flexure and the slope-deflection equations of semi-rigid frames. Slope deflection equations for trussed bents are also presented.
1955, 30 (4): 339-358. doi: 10.7498/aps.11.339
In this paper a theory of equilibrium and stability of elastic thin-walled cylinders is proposed. The theory is based on the following assumptions: 1) The cross section of the cylinder is uncleformable. 2) The cylinder is under a system of initial stresses σz0=- P0/F-My0/Ixx x + Mx0/Iyyy. This theory may be regarded as a generalization of V. Z. Vlasoff's theory of stability of thin-walled rods, and includes the theory of Karman-Chien and Adaduroff as a special case. For cases of simply supported cylinders and cantilever cylinders, a method of solution using trigonometric series is proposed which is much simpler than the methods used by Karman-Chien and Adaduroff.