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Titlebook: MATLAB Codes for Finite Element Analysis; Solids and Structure Antonio J. M. Ferreira,Nicholas Fantuzzi Textbook 2020Latest edition The Edi

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Trusses in 2D Space,ian systems. A transformation of coordinate basis is necessary to translate the local element matrices into the structural coordinate system. Trusses support compressive and tensile forces only, as in bars. All forces are applied at the nodes. After the presentation of the element formulation, some examples are solved by MATLAB codes.
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Bernoulli Beams,nly degree of freedom of the model and the in-plane rotation si given by the derivative of the transverse deflection with respect to the beam axis. In this chapter we perform the static, vibration and buckling analysis of Bernoulli beams in bending configuration. Results will be compared to analytical and reference results from the literature.
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Bernoulli 2D Frames,ous Bernoulli beam in local coordinates. The stiffness and mass matrices are given by transformation of the same matrices in local coordinates by a matrix of rotation which is a function of the beam slope with respect to the horizontal axis.
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Timoshenko Beams,thin or thick beams. In this chapter we perform the analysis of Timoshenko beams in static bending, free vibrations and buckling. We present the basic formulation and show how a MATLAB code can accurately solve this problem.
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