On the vibration of beams or rods carrying an arbitrary number of concentrated masses

Determining eigenvalues of free vibration of beams carrying concentrated mas

A Model of Housing Design and Neighborhood Planning in Abuja - Nigeria

The need for shelter is one of the most important necessities for mankind after sustenance. Over the years, the term ‘shelter’ has undergone series of modification either in shape, space, location or the materials used in constructing them but one thing remains the same; the need for a roof over one’s head is as vital to survival as time in itself

The general solution to the classical problem of finite Euler Bernoulli beam

An analytical solution is obtained for the problem of free and forced vibrations of a finite Euler Bernoulli beam with arbitrary (partially fixed) boundary conditions. The effects of linear viscous damping, Winkler foundation, constant axial tension, a concentrated mass, and an arbitrary forcing function are included in the analysis. No restriction is placed on the values of the parameters involved, and the solution presented here contains all cited previous solutions as special cases

Community Engagement and Diverse Representation in Planning for an Immigrant Neighborhood in a U. S. Pacific Northwest City

Traditional avenues of influencing planning decisions are not intuitive for diverse, historically underrepresented community residents in many neighborhoods and many immigrant residents come from societies where engaging in public discourse is discouraged or dangerous. The focus of this study, the Planning Outreach and Engagement Liaison (POEL) program, was designed to address these discrepancies, yet whether the program was successful is unknown. Using participatory democracy as the theoretical framework, the purpose of this case study was to explore whether the POEL program brought diverse residents together to participate in the neighborhood planning process. Data were collected through semi structured interviews with planners, community coordinators, public outreach and engagement liaisons, and members of non-governmental organizations (n = 10) and official government records and documents. All data were deductively coded and then analyzed using a thematic analysis procedure. Six themes emerged from the study including (a) measures of program success, (b) outreach and communication, (c) collaboration, (d) intimidation and fear, (e) time limitation, and (f) building relationships. POELs identified and understood that barriers such as lack of time, lack of child care, persistent fear of government intentions, and religious and cultural norms inhabit the process, but found that using outreach and communication promotes interest in and participation in neighborhood planning. When neighborhood residents are empowered and given information about the process, they make informed choices. The study promotes positive social change by showing that mitigating some of the barriers to participation supports greater inclusion of underrepresented persons in the neighborhood planning process

Teachers’ Competence, Classroom Environment, Learning Style of Students: A Structural Model on Mathematical Ability

The study was conducted to develop the best fit model of mathematical ability.  Specifically, it established the relationship among teachers’ competence, classroom environment, learning styles, and mathematical ability. Descriptive, correlational and causal comparative designs were utilized in this study.  The data were gathered from senior high school students. Moreover, sets of adopted survey questionnaires were used as instruments to obtain information from the participants. Mean, Pearson product moment correlation, multiple regression analysis and structural equation modeling were the statistical tool used.  The findings revealed that reflector and activist learner and role of students/peers found to be significant predictors of mathematical ability.  The best fit model of mathematical ability is best predicted by their learning styles and the classroom environment. The model suggests that that the more structured the learning style coupled with a conducive classroom environment the better the mathematical ability of the students