As an economic and safe structure, Bi-steel is widely used in reinforced concrete with less consumption of steel. In this paper, III Bi-steel concrete beam has been analyzed. Through careful observation and theoretical analysis, the new calculating formulae for structural rigidity and crack have been formulated for this Bi-steel concrete beam. And structural rigidity and the crack features have...

In this paper, we extend the results of [10] to higher dimension. We prove that simple, thick hyperbolic P-manifolds of dimension ≥ 3 exhibit Mostow rigidity. We also prove a quasi-isometry rigidity result for the fundamental groups of simple, thick hyperbolic P-manifolds of dimension ≥ 3. The key tool in the proof of these rigidity results is a strong form of the Jordan separation theorem, for...

In this paper, we extend the results of [14] to higher dimension. We prove that simple, thick hyperbolic P-manifolds of dimension ≥ 3 exhibit Mostow rigidity. We also prove a quasi-isometry rigidity result for the fundamental groups of simple, thick hyperbolic P-manifolds of dimension ≥ 3. The key tool in the proof of these rigidity results is a strong form of the Jordan separation theorem, for...

In this paper, we address the problem of agent loss in vehicle formations and sensor networks via two separate approaches: (1) perform a ‘self-repair’ operation in the event of agent loss to recover desirable information architecture properties or (2) introduce robustness into the information architecture a priori such that agent loss does not destroy desirable properties. We model the informat...

We present a two-dimensional model for tumor growth and morphology. The model contemplates, among other biological processes, cellular adhesion and the rigidity of the tissue embedding a tumor. We 1nd that for some values of adhesion and rigidity, these tumors are fractals with dimensions between 1.5 and 2. We conclude that changes in cell adhesion and environment rigidity can explain boundary ...

We revisit Margulis-Zimmer Super-Rigidity and provide some generalizations. In particular we obtain super-rigidity results for lattices in higherrank groups or product of groups, targeting at algebraic groups over arbitrary fields with absolute values. We also obtain cocycle super-rigidity results for a wide class of groups with respect to mixing actions. Our approach is based on a systematic s...

OBJECTIVE To investigate whether the stiff limb syndrome may be separated from the stiff man syndrome and progressive encephalomyelitis with rigidity on simple clinical grounds, and whether such a distinction has implications for aetiology, treatment, and prognosis. METHODS Twenty three patients referred over a 10 year period with rigidity and spasms in association with continuous motor unit ...

We present a novel construction of linear deformations for Lie algebras and use it to prove the non-rigidity several classes in different varieties. In particular, we address problem k-rigidity k-step nilpotent k-solvable algebras. show that with an abelian factor are not rigid, even case 1-dimensional factor. This holds more restricted k-rigidity. also free (k+1)-rigid, but however they k-rigid.

rigidity matroids – and show that although in dimension 2 a 1-extendable abstract rigidity matroid coincides with the generic rigidity matroid, in dimension 3 they can be different. Section 4.4 is devoted to the study of intersecting submodular functions that induce abstract rigidity matroids. We provide a necessary condition for these functions. With an additional assumption on the symmetry, w...

In most cases, structural engineers assume a concrete floor to be a rigid diaphragm. Although this simplification is in most cases acceptable, it should be noted that such an assumption may be distrusted due to certain problems. Concrete structures with staggered shear walls are among those whose analysis should be conducted with special concern for the behavior of their floor diaphragms. Howev...