Titlebook: Structural Mechanics with a Pen; A Guide to Solve Fin Andreas Öchsner Textbook 2021 The Editor(s) (if applicable) and The Author(s), under

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Idea and Derivation of the Method,on can be approximated by a Taylor’s series expansion of a certain order. As a result, forward, backward, centered difference schemes are obtained and the involved error due to truncated series is quantified. The nodal or grid point based approach is illustrated for one-dimensional problems.

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,Investigation of Euler–Bernoulli Beams in the Elastic Range,ics relationship, the constitutive law and the equilibrium equation, the partial differential equations, which describe the physical problem, are presented. The finite difference method is then used to derive approximate equations for thin beam problems. The subdivision of thin beam members and diff

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Investigation of Timoshenko Beams in the Elastic Range,onsidered. The finite difference method is then used to derive approximate equations for thick beam problems. The subdivision of thick beam members and different considerations of boundary conditions are treated in detail.

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Investigation of Rods in the Elastic Range,ed. The finite difference method is then used to derive approximate equations for rod problems. The subdivision of rod members and different considerations of boundary conditions are treated in detail. The presented approach treats rods of constant and varying tensile stiffnesses.

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g of important subject areas in structural mechanics.ExplainThis book is focused on the introduction of the finite difference method based on the classical one-dimensional structural members, i.e., rods/bars and beams. It is the goal to provide a first introduction to the manifold aspects of the fin

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