And an analytical expression is derived for the stiffness variation of single or multi-span beams under the application of arbitrarily distributed loads, concentrated forces and couples.

Based on actual manufacture system and the aim of this project, an abstract 3D model with concentrated forces imposed on it is constructed to simulate actual shaving process, which simplifies the analytical process and exposes the object to study to researchers;

To improve the crack-resistance performance of massive flexural concrete structures usually with only composition reinforced steel bars,and to study the application of steel fibers to such structures,the flexural performances of 16 full size SFRC(steel fiber reinforced concrete)beams were tested under four concentrated forces.

Some examples showed that attentions should be paid to the adverse effects of transverse stresses at supports, beam-column connections and where the concentrated forces acting.

This paper introduces the main contents of chapter 10 and 11 of LRFD-connections, joints , fasteners and strength design of members under concentrated forces .

本文介绍了美国建筑钢结构设计规范LRFD(Load and Resistance Factor Design Specification forStructural Steel Buildings)第十章及第十一章的主要内容,包括:连接、节点和紧固件以及受集中荷载作用的构件的强度设计。

The plate is acted on by two equal concentrated forces at the diametrically opposite points of the inner boundary.

For the circular cracked plate with applied concentrated forces, after using the superposition principle and EEVM, the boundary value problem is solved.

Stability of a compressible elastic rod, axially loaded by two concentrated forces of arbitrary intensity is studied.

It is suggested that in the description of concentrated forces instead of using the classical Dirac delta function model, the nonsingular rapid attenuation function model of nonlocal elasticity is adopted.

The flat inclusion is simulated by a continuous distribution of concentrated forces since it is of very small thickness.

In a previous paper,(1) a method for solving composite beams jointed by bolts by means of equivalent continous beams is suggested. This result is based on the following assumptions: 1. All beams composing the composite beam have the same deflec non at the point where bolt is used. 2. The actions of bolts are considered as concentrated forces applied on the beams at the points where bolts are used. 8. The effect of torsion caused by the external load which is not ap plied at the shear center of the whole...

In a previous paper,(1) a method for solving composite beams jointed by bolts by means of equivalent continous beams is suggested. This result is based on the following assumptions: 1. All beams composing the composite beam have the same deflec non at the point where bolt is used. 2. The actions of bolts are considered as concentrated forces applied on the beams at the points where bolts are used. 8. The effect of torsion caused by the external load which is not ap plied at the shear center of the whole cross-section of the composite beam is neglected. 4. The friction between the beams is neglected. 5. The weakening of the cross sections of the beams due to the bolt holes is neglected. In order to examine the correctness of these assumptions the results of a group of tests are given. The results of tests show that all assumptions except the third are well agree with the practical condition. As to the third assumption, the problem will be further studied.

By taking into account of both dilatational and deviatoric deformations, the formulae of stress components in semi-infinite viscoelastk media under the action of a constant vertical concentrated force applied at the free surface arc derived. The media treated here-in is supposed to be a Kelvin-Voigt solid, a Maxwell solid or a solid which can be expressed by the four-element model, M-K, respectively. In connection with the formulae of deformations, only the vertical displacements of the free surface are...

By taking into account of both dilatational and deviatoric deformations, the formulae of stress components in semi-infinite viscoelastk media under the action of a constant vertical concentrated force applied at the free surface arc derived. The media treated here-in is supposed to be a Kelvin-Voigt solid, a Maxwell solid or a solid which can be expressed by the four-element model, M-K, respectively. In connection with the formulae of deformations, only the vertical displacements of the free surface are given. Besides, the expressions for lateral stresses, in the media, due to uniformly distributed vertical stresses on the free surface, are also obtained. Finally, a numerical example for illustrating the differences between the several models is worked out.

This paper deals with the plane strain problem of non-straight boundary semi infinite elastic solid to which a concentrated force is applied at the midpoint of the bottom of a groove. It is pointed out that the problem may be solved bv using the Fourier transformation method, the method of finding biharmonic functions similar to that: or Mclan's[2], or the method of theory of analytic functions. Finally, basing on the method of the last one, mentioned above, the exact solutions for the cases of concentrated...

This paper deals with the plane strain problem of non-straight boundary semi infinite elastic solid to which a concentrated force is applied at the midpoint of the bottom of a groove. It is pointed out that the problem may be solved bv using the Fourier transformation method, the method of finding biharmonic functions similar to that: or Mclan's[2], or the method of theory of analytic functions. Finally, basing on the method of the last one, mentioned above, the exact solutions for the cases of concentrated and semi-circle groove as well as the approximate solution for rectangular groove are obtained. The effect arising from the presence of the groove is briefly discussed.