[{"data":1,"prerenderedAt":29},["ShallowReactive",2],{"topic-en-strength-of-materials\u002Fbasic-concepts-and-types-of-deformation\u002Fstructural-element-models":3},{"topic":4,"trail":14,"children":24,"tasks":25,"alternates":26},{"id":5,"name":6,"locale":7,"path":8,"seo_title":9,"seo_description":10,"seo_text":11,"content_html":12,"content_chunks":13},164,"Structural Element Models","en","strength-of-materials\u002Fbasic-concepts-and-types-of-deformation\u002Fstructural-element-models","Structural Element Models: Bars, Beams, Shafts, Plates and Shells","Basic structural models in Strength of Materials: bars, beams, shafts, columns, plates, shells, solid bodies, axes and cross-sections.","This topic introduces the main geometric idealizations used in Strength of Materials: bars, beams, shafts, columns, plates, shells, and three-dimensional solid bodies, together with the concepts of axis and cross-section.","\u003Cp>A real component or structural part is replaced by a geometric model sufficient to describe the mechanics of interest. The chosen element type determines which dimensions, displacements, and internal force resultants are central to the analysis.\u003C\u002Fp>\u003Ch2>One-dimensional members\u003C\u002Fh2>\u003Cp>A \u003Cstrong>bar or member\u003C\u002Fstrong> has one dimension, its length, substantially greater than its cross-sectional dimensions. Its geometry is represented by a longitudinal axis and cross-sections.\u003C\u002Fp>\u003Cul>\u003Cli>\u003Cstrong>Beam\u003C\u002Fstrong> — a member commonly characterized by bending.\u003C\u002Fli>\u003Cli>\u003Cstrong>Shaft\u003C\u002Fstrong> — a member commonly used to transmit torque.\u003C\u002Fli>\u003Cli>\u003Cstrong>Column\u003C\u002Fstrong> — a compressed slender member for which stability can govern design.\u003C\u002Fli>\u003C\u002Ful>\u003Ch2>Plates and shells\u003C\u002Fh2>\u003Cp>A \u003Cstrong>plate\u003C\u002Fstrong> has a thickness small compared with its other two dimensions and is represented by a middle plane. A \u003Cstrong>shell\u003C\u002Fstrong> is also thin but has a curved middle surface.\u003C\u002Fp>\u003Ch2>Three-dimensional solids\u003C\u002Fh2>\u003Cp>When all three characteristic dimensions are comparable and lower-dimensional idealizations do not capture the required mechanics, a three-dimensional solid model is used.\u003C\u002Fp>\u003Ch2>Cross-section\u003C\u002Fh2>\u003Cp>For member models, cross-sectional shape and dimensions determine area and geometric properties that control stress, stiffness, and stability. Internal force resultants are introduced through a cross-section using the method of sections.\u003C\u002Fp>",[],[15,19,23],{"id":16,"name":17,"path":18},45,"Strength of Materials","strength-of-materials",{"id":20,"name":21,"path":22},142,"Basic Concepts and Types of Deformation","strength-of-materials\u002Fbasic-concepts-and-types-of-deformation",{"id":5,"name":6,"path":8},[],[],{"en":27,"uk":28},"https:\u002F\u002Fmechclassroom.com\u002Fen\u002Ftopics\u002Fstrength-of-materials\u002Fbasic-concepts-and-types-of-deformation\u002Fstructural-element-models","https:\u002F\u002Fmechclassroom.com\u002Ftopics\u002Fopir-materialiv\u002Fosnovni-poniattia-ta-vydy-deformatsii\u002Frozrakhunkovi-elementy-konstruktsii",1787712538790]