The aim of this paper is to investigate geometrically nonlinear static analysis of axially functionally graded cantilever beam subjected to transversal non follower load. The considered problem is solved by finite element method with total Lagrangian kinematic approach. The material properties of the beam vary along the longitudinal direction according to the power law function. The finite elem...

Knowledge of the beam energy at LEP2 is of primary importance to set the absolute energy scale for the measurement of the W-boson mass. The beam energy above 80 GeV is derived from continuous measurements of the magnetic bending field by 16 NMR probes situated in a number of the LEP dipoles. The relationship between the fields measured by the probes and the beam energy is calibrated against pre...

A Newtonian (vectorial) approach is used to develop the governing differential equations of motion for a three layer sandwich beam in which the uniform distribution of mass and stiffness is dealt with exactly. The model allows for each layer of material to be of unequal thickness and the effects of coupled bending and longitudinal motion are accounted for. This results in an eighth order ordina...

This paper develops a computational model for nonlinear bending analysis of functionally graded (FG) plates using a four-node quadrilateral element SQ4T within the context of the first order shear deformation theory (FSDT). In particular, the construction of the nonlinear geometric equations are based on Total Lagrangian approach in which the motion at the present state compared with the initia...

Size-dependent dynamic responses of small-size frames are modelled by stress-driven nonlocal elasticity and assessed a consistent finite-element methodology. Starting from uncoupled axial bending differential equations, the exact stiffness matrix two-node beam element is evaluated in closed form. The relevant global an arbitrarily-shaped frame, where every member made single element, built stan...

Beam-to-beam connections are widely used in steel structures, especially large floor applications and cases where they dictated by architectural restrictions. This type of connection is often designed without rotational restrictions (pinned connections), leading to relatively high bending capacity demands for the connected secondary beam, particularly when larger spans employed. A commonly prac...

In this research paper, the formulation of a new three-dimensional sector element based on the strain approach is presented for plate bending problems and linear static analysis of circular structures. The proposed element has the three essential external degrees of freedom (Ur, Vθ and W) at each of the eight corner nodes. The displaceme...

Thin-walled tube bending is still to be considered a new and advanced technique. The process has been adopted into several industries such as aero and automotive. This process may produce a wrinkling, bulking and tearing phenomenon if the process parameters are inappropriate, especially for tubes with large diameter and thin wall thickness. Push bending process is one of the methods used for be...

A triangular mixed finite element model for the elasto-plastic analysis of Kirchhoff plates is presented. The proposed discretization is based on rigid in bending elements connected by means of rotational springs between the inter-element sides and constant bending moments on the influence area of each node. The continuity of the normal bending moment through the sides allows a standard Helling...

The three-dimensional load displacement behavior of nine fresh adult L5-S1 spine motion segments was studied. Static test forces up to 160 N in anterior, posterior, and lateral shear, test forces up to 320 N in compression, and test moments up to 15.7 Nm in flexion, extension, lateral bending, and torsion were used. The six displacements of the center of the inferior L5 endplate were measured 1...