A cantilever beam is completely fixed at one end and free at the other. In the case of cantilevers, the support conditions in the transverse plane affect the moment pattern. For design purposes, it is convenient to use the concept of notional effective length, k, which would include both loading and support effects. The notional effective length is defined as the length of the notionally simply...

The generalized integral transform technique (GITT) is employed to obtain an exact solution for the bending problem of fully clamped orthotropic rectangular plates. The use of the GITT approach in the analysis of the transverse deflection equation leads to a coupled system of fourth order differential equations in the dimensionless longitudinal spatial variable. The resulting transformed ODE sy...

Engineered cementitious composites (ECC) possesses characteristics that make it suitable in the zones of high shear and ductility demand of structural elements; however, there is a lack of an adequate model to predict its shear stiffness. A theoretical model for the effective shear stiffness of reinforced ECC (RECC) columns is proposed on the basis of the truss-arch model, with the consideratio...

Satisfactory performance of the transverse joints is crucial for achieving the intended service life of jointed plain concrete pavement. An accurate prediction of joint opening and movement is desired in order to quantify the effects of the environment, base type, concrete material constituents, and slab geometry on the concrete pavement responses. In this paper, an analytical model based on el...

Abstract For studying the evolution of transverse deflection an extensible beam derived from connection mechanics, we investigate initial boundary value problem nonlinear equation with linear strong damping term, weak and source term. The key idea our analysis is to describe invariant manifold via Nehari manifold. To establish results global well-posedness solution, consider at three different ...

For statically indeterminate rod structures with excess constraints in the horizontal direction, tension forces arise under transverse loading, significantly affecting stress-strain state of rods compared to similar caused by bending alone (in absence longitudinal constraints). This fact requires computational analysis, and this work, analytical dependencies deflection magnitude due loading wer...

Nonthermal radiation observed from astrophysical systems containing relativistic jets and shocks, e.g., gammaray bursts (GRBs), active galactic nuclei (AGNs), and microquasars commonly exhibit power-law emission spectra. Recent PIC simulations of relativistic electron-ion (or electron-positron) jets injected into a stationary medium show that particle acceleration occurs within the downstream j...

Functionally graded materials have gained considerable attention in the high-temperature applications. A study of parametric vibrations of functionally graded plates subjected to in-plane time-dependent forces is presented. Moderately large deflection equations taking into account a coupling of in-plane and transverse motions are used. Material properties are graded in the thickness direction o...

We have recorded channeling patterns produced by 1 to 2 MeV protons aligned with <111> axes in 55 nm thick silicon crystals which exhibit characteristic angular structure for deflection angles up to and beyond the axial critical angle, a. Such large angular deflections are produced by ions incident on atomic strings with small impact parameters, resulting in trajectories which pass through sev...

The single-beam mirage effect, also known as photothermal deflection, is studied using a free-standing, highly aligned carbon nanotube aerogel sheet as the heat source. The extremely low thermal capacitance and high heat transfer ability of these transparent forest-drawn carbon nanotube sheets enables high frequency modulation of sheet temperature over an enormous temperature range, thereby pro...