A wide range of numerical integration options are available in OpenSees to represent distributed plasticity or non-prismatic section details in force-based beam-column elements, i.e., across the entire element domain [0, L]. For the Tcl interpreter of OpenSees, there is a specific input format for each integration option that follows a common input format for the element tag, nodes, and transfo...

This paper presents a simplified approach for the design of semi-continuous composite beams in braced frames, where specific attention is given to the effect of joint rotational stiffness. A simple composite beam model is proposed incorporating the effects of semi-rigid end connections and the non-prismatic properties of a 'cracked' steel-concrete beam. This beam model is extended to a sub-fram...

  ABSTRACT: A prismatic beam made of a behaviorally nonlinear material situated on nonlinear elastic foundation is analyzed under a moving harmonic load moving with a known velocity. The vibration equation of motion    is derived using Hamilton principle and Euler Lagrange equation. The amplitude of vibration, circular frequency, bending moment, stress and deflection of the beam can be calculat...

Abstract: In the present article, a semi-analytical technique to investigate free bending vibration behavior of axially functionally graded non-prismatic Timoshenko beam subjected to a point force at both ends is developed based on the power series expansions. The beam is assumed to be made of linear elastic and isotropic material with constant Poisson ratio. Material properties including the ...

This paper presents a generalized numerical method to evaluate element stiffness matrices needed for the free vibration and stability analyses of non-prismatic columns resting on one- or two-parameter elastic foundations and subjected to variable axial load. For this purpose, power series approximation is used to solve the fourth–order differential equation of non-prismatic columns with v...

Non-prismatic beams are widely employed in several engineering fields, e.g., wind turbines, rotor blades, aircraft wings, and arched bridges. While analytical solutions for variable cross-section desirable, a model describing all stress components with general variation of their under generalised loading remains an open important problem to solve. To partly address this issue, we propose soluti...

Momentum transfer between the main channel and the side flood plains tends to increase the floodplain shear whereas the main channel shear decreases. The increase and decrease in shear are greatly influenced when a compound channel is with non-prismatic flood plains. In converging compound channels water flow on the floodplain crosses over water flow in the main channel, resulting in increased ...

We examine the prototypical Toepler optical arrangement for the visualization of phase objects and consider the effect of different contrast elements placed at the focus of the source. In particular, Wollaston prism beam splitting elements based on the crystallographic birefringence of calcite or quartz find application in differential interferometry systems based on the Toepler arrangement. Th...

Each river in the world is unique. Some are gently curve, others meander, and some others are relatively straight and skewed. The size of river geometry also changes from section to section longitudinally due to different hydraulic and surface conditions called non -prismatic channel. Much works done on river hydraulics are found to bed non prismatic compound channels. There has also been signi...