{"id":1106,"date":"2022-04-08T17:26:52","date_gmt":"2022-04-08T16:26:52","guid":{"rendered":"https:\/\/www.mub.eps.manchester.ac.uk\/structural-concepts\/?page_id=1106"},"modified":"2022-04-08T17:26:52","modified_gmt":"2022-04-08T16:26:52","slug":"model-demonstrations-section","status":"publish","type":"page","link":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/model-demonstrations-section\/","title":{"rendered":"Model Demonstrations"},"content":{"rendered":"\n

Model Demonstrations<\/h1>\n\n\n\n

Statics<\/h3>\n\n\n\n

1. Equilibrium<\/a><\/p>\n\n\n\n

Model 1: Action and Reaction Forces
Model 2: Stable and unstable equilibrium
Model 3: A plate-bottle system
Model 4: A magnetic “float” model<\/p>\n\n\n\n

2. Centre of Mass<\/a><\/p>\n\n\n\n

Model 1: Determination of the centre of mass of a piece of cardboard of arbitrary shape
Model 2: Determination of centre of mass and centroid of a body
Model 3: Centre of mass of a body in a horizontal plane
Model 4: Centre of mass of a body in a vertical plane
Model 5: Centre of mass and stability
Model 6: Centre of mass and motion
Model 7: Centre of mass and centre of curvature<\/p>\n\n\n\n

3. Effect of Different Cross Sections<\/a><\/p>\n\n\n\n

Model 1: Two rectangular beams and an I-section beam
Model 2: Lifting a book using a bookmark<\/p>\n\n\n\n

4. Bending<\/a><\/p>\n\n\n\n

Model 1: Assumptions in beam bending
Model 2: A thin beam and a thick beam<\/p>\n\n\n\n

5. Shear and Torsion<\/a><\/p>\n\n\n\n

Model 1: Effect of torsion
Model 2: Effect of shear stress
Model 3: Effect of shear force
Model 4: Open and closed sections subject to torsion with warping
Model 5: Open and closed sections subject to torsion without warping
Model 6: Shear centre of a thin-walled open section<\/p>\n\n\n\n

6. Stress Distribution<\/a><\/p>\n\n\n\n

Model 1: Balloons on nails
Model 2: Uniform and non-uniform stress distributions
Model 3: Stress concentration
Model 4: The core of a section<\/p>\n\n\n\n

7. Span and Deflection<\/a><\/p>\n\n\n\n

Model 1: Effect of spans
Model 2: Effect of boundary conditions
Model 3: The bending moment at one fixed end of a beam
Model 4: Lateral stiffness of vertical members<\/p>\n\n\n\n

8. Direct Force Path<\/a><\/p>\n\n\n\n

Model 1: Experimental Verification
Model 2: Direct and zigzag force paths<\/p>\n\n\n\n

9. Smaller Internal Forces<\/a><\/p>\n\n\n\n

Model 1: A pair of rubber rings
Model 2: Post-tensioned plastic beams<\/p>\n\n\n\n

10. Buckling<\/a><\/p>\n\n\n\n

Model 1: Buckling shapes of plastic columns
Model 2: Buckling loads and boundary conditions
Model 3: Lateral buckling of beams
Model 4: Buckling of an empty aluminium can<\/p>\n\n\n\n

11. Prestress<\/a><\/p>\n\n\n\n

Model 1: Prestressed wooden blocks forming a beam and a column
Model 2: A toy using prestressing<\/p>\n\n\n\n

12. Horizontal Movements of Structures Induced by Vertical Loads<\/a><\/p>\n\n\n\n

Model 1: A symmetric frame
Model 2: An anti-symmetric frame
Model 3: An asymmetric frame<\/p>\n\n\n\n

Dynamics<\/h3>\n\n\n\n

1. Energy Exchange<\/a><\/p>\n\n\n\n

Model 1: A moving wheel
Model 2: Collision balls
Model 3: Dropping a series of balls<\/p>\n\n\n\n

2. Pendulum Systems<\/a><\/p>\n\n\n\n

Model 1: Natural frequency of suspended systems
Model 2: Effect of added masses
Model 3: Static behaviour of an outward inclined suspended system<\/p>\n\n\n\n

3. Free Vibration<\/a><\/p>\n\n\n\n

Model 1: Free vibration of a pendulum system
Model 2: Vibration decay and natural frequency
Model 3: An overcritically-damped system
Model 4: Mode shapes of a discrete model
Model 5: Mode shapes of a continuous model
Model 6: Tension force and natural frequency of a straight tension bar<\/p>\n\n\n\n

4. Resonance<\/a><\/p>\n\n\n\n

Model 1: Dynamic response of a SDOF system subject to harmonic support movements
Model 2: Effect of resonance<\/p>\n\n\n\n

5. Damping<\/a><\/p>\n\n\n\n

Model 1: Observing the effect of damping in free vibrations
Model 2: Hearing the effect of damping in free vibration<\/p>\n\n\n\n

6. Vibration Reduction<\/a><\/p>\n\n\n\n

Model 1: A tuned mass damper (TMD)
Model 2: A tuned-liquid-damper (TLD)
Model 3: Vibration isolation
Model 4: A pendulum tuned-mass-damper<\/p>\n\n\n\n

7. Human Body Models in Structural Vibration<\/a><\/p>\n\n\n\n

Model 1: The body model of a standing person in the vertical direction
Model 2: The body model of a standing person in the lateral directions<\/p>\n","protected":false},"excerpt":{"rendered":"

Model Demonstrations Statics 1. Equilibrium Model 1: Action and Reaction ForcesModel 2: Stable and unstable equilibriumModel 3: A plate-bottle systemModel 4: A magnetic “float” model 2. Centre of Mass Model 1: Determination of the centre of mass of a piece of cardboard of arbitrary shapeModel 2: Determination of centre of mass and centroid of a […]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-intro.php","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"class_list":["post-1106","page","type-page","status-publish","entry"],"yoast_head":"\nModel Demonstrations - Seeing and Touching Structural Concepts<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/model-demonstrations-section\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Model Demonstrations - Seeing and Touching Structural Concepts\" \/>\n<meta property=\"og:description\" content=\"Model Demonstrations Statics 1. Equilibrium Model 1: Action and Reaction ForcesModel 2: Stable and unstable equilibriumModel 3: A plate-bottle systemModel 4: A magnetic “float” model 2. Centre of Mass Model 1: Determination of the centre of mass of a piece of cardboard of arbitrary shapeModel 2: Determination of centre of mass and centroid of a […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/model-demonstrations-section\/\" \/>\n<meta property=\"og:site_name\" content=\"Seeing and Touching Structural Concepts\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/model-demonstrations-section\\\/\",\"url\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/model-demonstrations-section\\\/\",\"name\":\"Model Demonstrations - Seeing and Touching Structural Concepts\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/#website\"},\"datePublished\":\"2022-04-08T16:26:52+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/model-demonstrations-section\\\/#breadcrumb\"},\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/model-demonstrations-section\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/model-demonstrations-section\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Model Demonstrations\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/#website\",\"url\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/\",\"name\":\"Seeing and Touching Structural Concepts\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-GB\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/#organization\",\"name\":\"Seeing and Touching Structural Concepts\",\"url\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-GB\",\"@id\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/wp-content\\\/uploads\\\/sites\\\/32\\\/2022\\\/03\\\/logo-university-of-manchester-1.png\",\"contentUrl\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/wp-content\\\/uploads\\\/sites\\\/32\\\/2022\\\/03\\\/logo-university-of-manchester-1.png\",\"width\":206,\"height\":86,\"caption\":\"Seeing and Touching Structural Concepts\"},\"image\":{\"@id\":\"https:\\\/\\\/www.sites.se.manchester.ac.uk\\\/structural-concepts\\\/#\\\/schema\\\/logo\\\/image\\\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Model Demonstrations - Seeing and Touching Structural Concepts","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/model-demonstrations-section\/","og_locale":"en_GB","og_type":"article","og_title":"Model Demonstrations - Seeing and Touching Structural Concepts","og_description":"Model Demonstrations Statics 1. Equilibrium Model 1: Action and Reaction ForcesModel 2: Stable and unstable equilibriumModel 3: A plate-bottle systemModel 4: A magnetic “float” model 2. Centre of Mass Model 1: Determination of the centre of mass of a piece of cardboard of arbitrary shapeModel 2: Determination of centre of mass and centroid of a […]","og_url":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/model-demonstrations-section\/","og_site_name":"Seeing and Touching Structural Concepts","twitter_card":"summary_large_image","twitter_misc":{"Estimated reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/model-demonstrations-section\/","url":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/model-demonstrations-section\/","name":"Model Demonstrations - Seeing and Touching Structural Concepts","isPartOf":{"@id":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/#website"},"datePublished":"2022-04-08T16:26:52+00:00","breadcrumb":{"@id":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/model-demonstrations-section\/#breadcrumb"},"inLanguage":"en-GB","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/model-demonstrations-section\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/model-demonstrations-section\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/"},{"@type":"ListItem","position":2,"name":"Model Demonstrations"}]},{"@type":"WebSite","@id":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/#website","url":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/","name":"Seeing and Touching Structural Concepts","description":"","publisher":{"@id":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-GB"},{"@type":"Organization","@id":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/#organization","name":"Seeing and Touching Structural Concepts","url":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/","logo":{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/#\/schema\/logo\/image\/","url":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/wp-content\/uploads\/sites\/32\/2022\/03\/logo-university-of-manchester-1.png","contentUrl":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/wp-content\/uploads\/sites\/32\/2022\/03\/logo-university-of-manchester-1.png","width":206,"height":86,"caption":"Seeing and Touching Structural Concepts"},"image":{"@id":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/wp-json\/wp\/v2\/pages\/1106","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/wp-json\/wp\/v2\/comments?post=1106"}],"version-history":[{"count":0,"href":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/wp-json\/wp\/v2\/pages\/1106\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sites.se.manchester.ac.uk\/structural-concepts\/wp-json\/wp\/v2\/media?parent=1106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}