• Calculate the deflections in stepped shafts more quickly and accurately by combining engineering knowledge with mathematics software. • Use Castigliano’s theorem and the Heavyside step function help ...

A procedure involving spectral Galerkin and integral transformation methods has been developed and applied to treat the problem of the dynamic deflections of beam structure resting on bi-parametric ...

Abstract The evaluation of the deflection in beams is an indispensable step of the structural design. Currently, many standard codes adopt the Branson’s model. However, the Branson’s model ...

A generalized lens equation for weak gravitational fields in Schwarzschild metric and valid for finite distances of source and observer from the light deflecting body is suggested. The magnitude of ...

While nanoscale structural imaging of cells is now possible, a direct recording of chemical composition of these domains is lacking. Here we overcome this challenge by first analytically modeling the ...