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By Eugenio Oñate

STRUCTURAL research WITH THE FINITE point METHOD

Linear Statics

Volume 1 : the root and Solids

Eugenio Oñate

The volumes of this ebook hide many of the theoretical and computational elements of the linear static research of constructions with the Finite aspect strategy (FEM). The content material of the ebook is predicated at the lecture notes of a easy direction on Structural research with the FEM taught by means of the writer on the Technical collage of Catalonia (UPC) in Barcelona, Spain for the final 30 years.

Volume1 provides the foundation of the FEM for structural research and an in depth description of the finite point formula for axially loaded bars, aircraft elasticity difficulties, axisymmetric solids and common 3 dimensional solids. each one bankruptcy describes the heritage conception for every structural version thought of, information of the finite point formula and directions for the applying to structural engineering difficulties. The e-book contains a bankruptcy on miscellaneous subject matters corresponding to remedy of susceptible helps, elastic foundations, tension smoothing, errors estimation and adaptive mesh refinement innovations, between others. The textual content concludes with a bankruptcy at the mesh new release and visualization of FEM results.

The booklet might be beneficial for college students impending the finite point research of constructions for the 1st time, in addition to for training engineers attracted to the main points of the formula and function of the several finite parts for sensible structural analysis.

STRUCTURAL research WITH THE FINITE aspect METHOD

Linear Statics

Volume 2: Beams, Plates and Shells

Eugenio Oñate

The volumes of this publication conceal lots of the theoretical and computational elements of the linear static research of constructions with the Finite point procedure (FEM).The content material of the ebook relies at the lecture notes of a easy direction on Structural research with the FEM taught through the writer on the Technical college of Catalonia (UPC) in Barcelona, Spain for the final 30 years.

Volume 2 offers a close description of the finite point formula for research of slim and thick beams, skinny and thick plates, folded plate buildings, axisymmetric shells, common curved shells, prismatic constructions and 3 dimensional beams. each one bankruptcy describes the history idea for every structural version thought of, info of the finite aspect formula and guidance for the applying to structural engineering difficulties Emphasis is wear the therapy of buildings with layered composite materials.

The ebook could be worthwhile for college kids imminent the finite point research of beam, plate and shell buildings for the 1st time, in addition to for training engineers drawn to the main points of the formula and function of the various finite components for useful structural analysis.

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Additional info for Structural Analysis with the Finite Element Method Linear Statics: Volume 2. Beams, Plates and Shells

Example text

Further details on the derivation of the CCB element can be found in [JO,OZ2]. The example given next shows the assembly of the global stiffness equations for a typical node and the comparison of the CCB element formulation with a centred finite difference scheme. 26 Slender plane beams. Euler-Bernoulli theory Fig. 5: Obtain the assembled stiffness equation for a node i in a mesh of CCB elements of equal length l. Verify the analogy with a centred finite difference scheme. 14 shows a regular mesh of rotation-free beam element with the deflection as the only nodal variable.

18 shows the distribution of the deflection and the bending moment along the beam for the uniformly distributed load, using different regular meshes of CCB and CVB elements. In general, both elements yield excellent results for relatively coarse meshes. Typically, the CVB element performs better than the CCB one. The accuracy of both elements deteriorates slightly for non-uniform meshes. More examples of the performance of the CCB and CVB rotation-free Euler-Bernoulli beam elements can be found in [JO,OZ3].

795 795 796 796 797 798 813 813 813 814 815 815 816 817 817 817 817 818 818 818 818 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . 819 Author index . . . . . . . . . . . . . . . . . . . . . . . . . . 851 Subject index . . . . . . . . . . . . . . . . . . . . . . . . . . 859 1 SLENDER PLANE BEAMS. 1 INTRODUCTION This chapter studies the bending of slender plane beams using the classical Euler-Bernoulli beam theory and the FEM.

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