Beam Structures: Classical and Advanced Theories by Erasmo Carrera
By Erasmo Carrera
Beam theories are exploited world wide to investigate civil, mechanical, automobile, and aerospace constructions. Many beam ways were proposed over the past centuries by way of eminent scientists equivalent to Euler, Bernoulli, Navier, Timoshenko, Vlasov, etc. every one of these types are challenge based: they supply trustworthy effects for a given challenge, for example a given part and can't be utilized to another one.
Beam constructions: Classical and complicated Theories proposes a brand new unique unified method of beam concept that incorporates virtually all classical and complicated versions for beams and which has develop into validated and known globally because the most crucial contribution to the sector within the final zone of a century.
The Carrera Unified formula (CUF) has hierarchical homes, that's, the mistake should be diminished by means of expanding the variety of the unknown variables. This formula is very appropriate for laptop implementations and will care for most common engineering demanding situations. It overcomes the matter of classical formulae that require diversified formulation for pressure, bending, shear and torsion; it may be utilized to any beam geometries and loading stipulations, achieving a excessive point of accuracy with low computational expense, and will take on difficulties that during so much instances are solved through utilising plate/shell and 3D formulations.
- compares classical and sleek methods to beam concept, together with classical recognized effects with regards to Euler-Bernoulli and Timoshenko beam theories
- pays specific realization to general functions concerning bridge buildings, plane wings, helicopters and propeller blades
- provides a few numerical examples together with standard Aerospace and Civil Engineering problems
- proposes many benchmark tests to assist the reader enforce the CUF in the event that they desire to do so
- accompanied by way of a significant other hosting committed software program MUL2 that's used to procure the numerical options within the publication, permitting the reader to breed the examples given within the booklet in addition to to resolve different difficulties in their personal www.mul2.com
Researchers of continuum mechanics of solids and constructions and structural analysts in will locate this e-book super insightful. it's going to even be of significant curiosity to graduate and postgraduate scholars of mechanical, civil and aerospace engineering.
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Extra info for Beam Structures: Classical and Advanced Theories
Analyses are conducted by means of EBBT, TBT, and CLEC based finite elements. Results are evaluated in terms of vertical displacements of two points: A, [0, L, −h/2], and B, [a, L, −h/2]. 2 presents the results related to the first load case. 5 where EBBT, TBT, and CLEC solutions are compared. The role of CLEC is clear in detecting the torsion of the beam whereas classical models consider the bending behavior only. 3 presents the results related to the second load case when F2 is applied. Classical models detect exactly the same solution of the first load case since the absence of linear in-plane terms in the displacement field does not permit us to include the torsion in the EBBT and TBT models.
Is the fourth-order tensor of inertia. It should be noted that no assumptions for the Cartesian reference system have been introduced. 4. 13) A centroidal reference system is centered on the cross-section barycenter. A reference system is called principal for a given cross-section when the product momentum computed according to that reference system is equal to zero. 14) P1: OTA/XYZ JWST088-02 P2: ABC JWST088-Carrera June 27, 2011 8:35 Printer Name: Yet to Come THE EULER–BERNOULLI MODEL 15 A central reference system is a centroid principal reference system.
International Journal for Numerical Methods in Engineering, 45, 865–889. Gruttmann F and Wagner W 2001 Shear correction factors in Timoshenko’s beam theory for arbitrary shaped cross-sections. Computational Mechanics, 27, 199–207. Kapania K and Raciti S 1989 Recent advances in analysis of laminated beams and plates, part I: Shear effects and buckling. AIAA Journal, 27(7), 923–935. Pai PF and Schulz MJ 1999 Shear correction factors and an energy consistent beam theory. International Journal of Solids and Structures, 36, 1523–1540.