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In the present paper the extreme shear stresses with the corresponding planes are established using the freely available computer tools like the Gnuplot, Sage, R, Python and Octave. In order to support these freely available computer tools, their strong symbolical and graphical abilities are illustrated. The nature of the stationary points obtained by the Method of Lagrangian Multipliers can be determined using freely available computer symbolical tools like Sage. The characters of the stationary points can be explained in the easiest way using freely available computer graphical tools like Gnuplot, Sage, R, Python and Octave. The presented figures improve the understanding of the problem and the obtained solutions for the majority of students of civil or mechanical engineering.
", "languages": [ { "id": "eng", "title": { "en": "English" } } ], "publication_date": "2013-01-24", "publisher": "Zenodo", "references": [ { "reference": "Y. C. Fung, A First Course in Continuum Mechanics. Englewood Cliffs,\nNew Jersey: Prentice-Hall, 1965." }, { "reference": "G. E. Mase, Continuum Mechanics. New York: McGraw-Hill, 1970." }, { "reference": "J. Brni'c, Elastomehanika i Plastomehanika (Elasticity and Plasticity).\nZagreb: \u2566\u00e7Skolska knjiga, 1996." }, { "reference": "Y. C. Fung and P. Tong, Classical and Computational Continuum\nMechanics. Singapore: World Scientific Publishing Co. Pte. Ltd., 2001." }, { "reference": "S. Srp\u2566\u00e7ci\u2566\u00e7c, Mehanika Trdnih Teles (Mechanics of Solids). Ljubljana:\nUniverza v Ljubljani, Fakulteta za gradbeni\u2566\u00e7stvo in geodezijo, 2004." }, { "reference": "M. Stanek and G. Turk, Osnove Mehanike Trdnih Teles (An Introduction\nto the Mechanics of Solids). 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Available:\nhttp://www.gnu.org/software/octave/\n[14] L. Wei-Pin, C. Chang-Hsuan, H. Chung-Li, and M. John, \"Digital\nsimulation of the transformation of plane stress,\" Computer Applications\nin Engineering Education, vol. 17, no. 1, pp. pp. 25-33, 2009.\n[15] E. Grossmann. (2012) vrml (octave package). (Online). Available:\nhttp://octave.sourceforge.net/vrml/overview.html\n[16] W. Consortium. (1994, November) Vrml. (Online). Available:\nhttp://www.web3d.org/x3d/vrml/\n[17] M. Kamburelis. view3dscene. (Online). Available: http://castleengine.\nsourceforge.net/view3dscene.php\n[18] T. J. Lukka and J. Stewart. (1998) Freewrl. (Online). Available:\nhttp://freewrl.sourceforge.net/" } ], "resource_type": { "id": "publication-article", "title": { "de": "Zeitschriftenartikel", "en": "Journal article" } }, "rights": [ { "description": { "en": "The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited." }, "icon": "cc-by-icon", "id": "cc-by-4.0", "props": { "scheme": "spdx", "url": "https://creativecommons.org/licenses/by/4.0/legalcode" }, "title": { "en": "Creative Commons Attribution 4.0 International" } } ], "subjects": [ { "subject": "engineering" }, { "subject": "continuum mechanics" }, { "subject": "extreme shear\nstresses" }, { "subject": "Gnuplot" }, { "subject": "Sage" }, { "subject": "R" }, { "subject": "Python" }, { "subject": "Octave" } ], "title": "Determination of Extreme Shear Stresses in Teaching Mechanics Using Freely Available Computer Tools", "version": "15481" }, "parent": { "access": { "owned_by": { "user": 32148 } }, "communities": { "default": "a59dd046-9a86-4a47-97ce-b51f1bb8fc3f", "entries": [ { "access": { "member_policy": "open", "members_visibility": "public", "record_policy": "open", "review_policy": "open", "visibility": "public" }, "children": { "allow": false }, "created": "2017-05-31T21:24:26.028360+00:00", "custom_fields": {}, "deletion_status": { "is_deleted": false, "status": "P" }, "id": "a59dd046-9a86-4a47-97ce-b51f1bb8fc3f", "links": {}, "metadata": { "curation_policy": "", "description": "", "page": "", "title": "World Academy of Science, Engineering and Technology" }, "revision_id": 0, "slug": "waset", "updated": "2017-11-15T12:37:31.935319+00:00" } ], "ids": [ "a59dd046-9a86-4a47-97ce-b51f1bb8fc3f" ] }, "id": "1085120", "pids": { "doi": { "client": "datacite", "identifier": "10.5281/zenodo.1085120", "provider": "datacite" } } }, "pids": { "doi": { "client": "datacite", "identifier": "10.5281/zenodo.1085121", "provider": "datacite" }, "oai": { "identifier": "oai:zenodo.org:1085121", "provider": "oai" } }, "revision_id": 5, "stats": { "all_versions": { "data_volume": 15651938.0, "downloads": 58, "unique_downloads": 57, "unique_views": 47, "views": 47 }, "this_version": { "data_volume": 15382077.0, "downloads": 57, "unique_downloads": 56, "unique_views": 47, "views": 47 } }, "status": "published", "updated": "2020-01-20T17:06:09.580911+00:00", "versions": { "index": 1, "is_latest": true } }