By Eugenio Oñate

STRUCTURAL research WITH THE FINITE point METHOD

Linear Statics

Volume 1 : the foundation and Solids

Eugenio Oñate

The volumes of this publication disguise many of the theoretical and computational features of the linear static research of constructions with the Finite aspect strategy (FEM). The content material of the ebook relies at the lecture notes of a easy path on Structural research with the FEM taught via the writer on the Technical collage of Catalonia (UPC) in Barcelona, Spain for the final 30 years.

Volume1 provides the root of the FEM for structural research and a close description of the finite point formula for axially loaded bars, airplane elasticity difficulties, axisymmetric solids and normal 3 dimensional solids. every one bankruptcy describes the heritage conception for every structural version thought of, information of the finite aspect formula and instructions for the appliance to structural engineering difficulties. The booklet incorporates a bankruptcy on miscellaneous subject matters corresponding to remedy of vulnerable helps, elastic foundations, pressure smoothing, blunders estimation and adaptive mesh refinement concepts, between others. The textual content concludes with a bankruptcy at the mesh new release and visualization of FEM results.

The booklet may be important for college kids forthcoming the finite point research of constructions for the 1st time, in addition to for practicing engineers drawn 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 booklet hide many of the theoretical and computational facets of the linear static research of constructions with the Finite point strategy (FEM).The content material of the publication relies at the lecture notes of a simple path on Structural research with the FEM taught by way of the writer on the Technical collage of Catalonia (UPC) in Barcelona, Spain for the final 30 years.

Volume 2 provides an in depth description of the finite aspect formula for research of slim and thick beams, skinny and thick plates, folded plate buildings, axisymmetric shells, normal curved shells, prismatic constructions and 3 dimensional beams. every one bankruptcy describes the historical past concept for every structural version thought of, information of the finite point formula and instructions for the applying to structural engineering difficulties Emphasis is wear the remedy of constructions with layered composite materials.

The booklet should be important for college kids coming near near the finite aspect research of beam, plate and shell buildings for the 1st time, in addition to for practicing engineers attracted to the main points of the formula and function of different finite parts for useful structural analysis.

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

Example text

790 A BASIC PROPERTIES OF MATERIALS . . . . . . . . . . 791 B EQUILIBRIUM EQUATIONS FOR A SOLID . . . . . . . . 1 EQUILIBRIUM AT A BOUNDARY SEGMENT . . . . . . . 794 XXX Contents C NUMERICAL INTEGRATION . . . . . . . . . . . . . . . 1 1D NUMERICAL INTEGRATION . . . . . . . . . . . . . 2 NUMERICAL INTEGRATION IN 2D . . . . . . . . . . . . 1 Numerical integration in quadrilateral domains . . . . .

800 E PROOF OF THE SINGULARITY RULE FOR THE STIFFNESS MATRIX . . . . . . . . . . . . . . . . . . . . 803 F COMPUTATION OF THE SHEAR CENTER AND THE WARPING FUNCTION IN THIN-WALLED OPEN COMPOSITE BEAM SECTIONS . . . . . . . . . . . . . . 805 G STABILITY CONDITIONS FOR REISSNERMINDLIN PLATE ELEMENTS BASED ON ASSUMED TRANSVERSE SHEAR STRAINS . . . . . . . . . . . . . 808 H ANALYTICAL SOLUTIONS FOR ISOTROPIC THICK/THIN CIRCULAR PLATES . .

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. Many readers will ask themselves why we are applying the FEM to a simple structural problem that can be solved by standard Strength of Materials techniques [Ti2]. The answer is that the study of beam elements is of great interest as it allows us to introduce concepts which will be applied for the formulation of thin plate and shell elements in the subsequent chapters.

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