The seismic analysis and design of reinforced concrete (RC) frames is still an unresolved issue due to its complex behavior as the performance of RC building is linked to the features of the structural system, which have many influencing parameters. In this study, an attempt has been made to investigate the displacement scenario of RC residential building seismically located in Zone-V due to the influence of some basic parameters (column dimension, beam dimension, grade of concrete, floor height and seismic weight) in order to obtain a relation which could be used to estimate the expected lateral displacement owing to those selected parameters. In this study, a total of 297 RC buildings designed as per the Indian codal provisions [IS-1893-2002] were analyzed by linear static method using SAP2000 by varying selected and feasible input parameters chosen. The resulting displacements for the change of each parameter were obtained and finally a generalized equation relating the expected displacement as a function of those selected parameters was established using the regression method. The results of the comparison between the displacements obtained from analysis with that of the equation so formed shows that the proposed relation can be used directly to determine the expected displacement with high reliability.
Let G=( ) be a fuzzy graph. Let u be an element of V. Let . The fuzzy support of u is defined as the sum of the neighbourhood degrees of the elements in N(u).Then the fuzzy support strong degree of
u= It is denoted by degs f(supp) (u). Arrange the support strong degrees of vertices of G in descending order. Let (d1,d2,……,dn) with di≥di+1 be the fuzzy support strong degree sequence of G. In this research work we introduce the concept of support strong degree sequence in fuzzy graphs. The fuzzy support of a vertex is defined and domination based on the fuzzy support is considered. Several results involving this new fuzzy domination parameter are established.
 The mathematical modeling of aerobic degradation of vinasses with pencillium decumbens is discussed. This model contains the system of non-linear differential equation which describe the biodegradation process assuming that a fraction of the organic content of vinasses is non-biodegradable. In this paper, three non-linear differential equations in aerobic degradation processes have been solved using new approach homotopy perturbation method. The proposed analytical expression of concentration of substrate, production of biomass and oxygen for all experimental values of parameters were validated by comparing the theoretical curves obtained with the corresponding experimental data. The biomass solids is converted into liquid or gaseous of biofuels by heat energy and chemical catalysts. In gasification, biomass is heated in an oxygen-starved environment to produce a gas composed primarily of hydrogen and carbon monoxide.