caa a22 4500 445811633 CHVBK 20180317145213.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s00419-010-0452-5 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0452-5 Investigation of the size effects in Timoshenko beams based on the couple stress theory [Elektronische Daten] [M. Asghari, M. Kahrobaiyan, M. Rahaeifard, M. Ahmadian] In this paper, a size-dependent Timoshenko beam is developed on the basis of the couple stress theory. The couple stress theory is a non-classic continuum theory capable of capturing the small-scale size effects on the mechanical behavior of structures, while the classical continuum theory is unable to predict the mechanical behavior accurately when the characteristic size of structures is close to the material length scale parameter. The governing differential equations of motion are derived for the couple-stress Timoshenko beam using the principles of linear and angular momentum. Then, the general form of boundary conditions and generally valid closed-form analytical solutions are obtained for the axial deformation, bending deflection, and the rotation angle of cross sections in the static cases. As an example, the closed-form analytical results are obtained for the response of a cantilever beam subjected to a static loading with a concentrated force at its free end. The results indicate that modeling on the basis of the couple stress theory causes more stiffness than modeling by the classical beam theory. In addition, the results indicate that the differences between the results of the proposed model and those based on the classical Euler-Bernoulli and classical Timoshenko beam theories are significant when the beam thickness is comparable to its material length scale parameter. Springer-Verlag, 2010 Size-dependent behavior nationallicence Timoshenko beam nationallicence Couple stress theory nationallicence Material length scale parameter nationallicence Asghari M. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut Kahrobaiyan M. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut Rahaeifard M. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut Ahmadian M. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut Archive of Applied Mechanics Springer-Verlag 81/7(2011-07-01), 863-874 0939-1533 81:7<863 2011 81 419 https://doi.org/10.1007/s00419-010-0452-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0452-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Asghari M. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut NATIONALLICENCE 700 1- Kahrobaiyan M. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut NATIONALLICENCE 700 1- Rahaeifard M. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut NATIONALLICENCE 700 1- Ahmadian M. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/7(2011-07-01), 863-874 0939-1533 81:7<863 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer