@prefix rdf: . @prefix dbpedia: . @prefix ns2: . dbpedia:Cremona_diagram rdf:type ns2:Diagrams . @prefix owl: . dbpedia:Cremona_diagram owl:sameAs . @prefix foaf: . @prefix ns5: . dbpedia:Cremona_diagram foaf:page ns5:Cremona_diagram . @prefix rdfs: . dbpedia:Cremona_diagram rdfs:label "Cremona diagram"@en , "Cremonaplan"@de , "Cremonas kraftplan"@sv , "\u00C9pure de Cremona"@fr . @prefix dbpedia-owl: . dbpedia:Cremona_diagram dbpedia-owl:thumbnail . @prefix dbpprop: . dbpedia:Cremona_diagram dbpprop:abstract "L'\u00E9pure de Cremona \u2014 du nom de son inventeur, Luigi Cremona, mais on trouve fr\u00E9quemment les orthographes avec un accent aigu et \u00E9ventuellement une minuscule initiale (Cr\u00E9mona, cr\u00E9mona) \u2014 est une m\u00E9thode de statique graphique utilis\u00E9e pour le calcul des efforts dans un treillis."@fr , "The Cremona diagram is a graphical method used in statics of trusses to determine the forces in members. The method was created by the Italian mathematician Luigi Cremona. In the Cremona method, first the external forces and reactions are drawn forming a vertical line in the lower right side of the picture. This is the sum of all the force vectors and is equal to zero as there is mechanical equilibrium. Since the equilibrium holds for the external forces on the entire truss construction, it also holds for the internal forces acting on each joint. For a joint to be at rest the sum of the forces on a joint must also be equal to zero. Starting at joint Aorda, the internal forces can be found by drawing lines in the Cremona diagram representing the forces in the members 1 and 4, going clockwise; VA (going up) load at A (going down), force in member 1 (going down/left), member 4 (going up/right) and closing with VA. As the force in member 1 is towards the joint, the member is under compression, the force in member 4 is away from the joint so the member 4 is under tension. The length of the lines for members 1 and 4 in the diagram, multiplied with the chosen scale factor is the magnitude of the force in members 1 and 4. Now, in the same way the forces in members 2 and 6 can be found for joint C; force in member 1 (going up/right), force in C going down, force in 2 (going down/left), force in 6 (going up/left) and closing with the force in member 1. The same steps can be taken for joints D, H and E resulting in the complete Cremona diagram where the internal forces in all members are known. In a next phase the forces caused by wind must be considered. Wind will cause pressure on the upwind side of a roof (and truss) and suction on the downwind side. This will translate to asymmetrical loads but the Cremona method is the same. Wind force may introduce larger forces in the individual truss members than the static vertical loads."@en , "Der Cremonaplan dient bei statisch bestimmten Fachwerken der zeichnerischen Bestimmung der Stabkr\u00E4fte zur Bemessung der St\u00E4be. Er wurde im 19. Jahrhundert von Antonio Luigi Gaudenzio Giuseppe Cremona entwickelt. Die dem Cremonaplan zugrundeliegenden Methoden sind sehr hilfreich bei der Ausbildung. Im Computerzeitalter erfolgt die Ermittlung der Stabkr\u00E4fte in der Regel schneller und bequemer ohne die grafische Darstellung des Kraftecks."@de , "Cremonas kraftplan \u00E4r en av den italienske matematikern Luigi Cremona vetenskapligt behandlad metod att best\u00E4mma sp\u00E4nningen i de olika st\u00E4ngerna inom ett plant fackverk. Metoden grundar sig d\u00E4rp\u00E5, att samtliga krafter i en knutpunkt, yttre belastningar och st\u00E5ngsp\u00E4nningar, h\u00E5ller varandra i j\u00E4mvikt. Uppritas d\u00E4rf\u00F6r dessa krafter parallellt med sina riktningslinjer i en viss kraftskala, bildar de en sluten polygon, en kraftplan. Metoden fick stor betydelse vid grafisk ber\u00E4kning av fackverk."@sv ; rdfs:comment "L'\u00E9pure de Cremona \u2014 du nom de son inventeur, Luigi Cremona, mais on trouve fr\u00E9quemment les orthographes avec un accent aigu et \u00E9ventuellement une minuscule initiale (Cr\u00E9mona, cr\u00E9mona) \u2014 est une m\u00E9thode de statique graphique utilis\u00E9e pour le calcul des efforts dans un treillis."@fr , "Der Cremonaplan dient bei statisch bestimmten Fachwerken der zeichnerischen Bestimmung der Stabkr\u00E4fte zur Bemessung der St\u00E4be. Er wurde im 19. Jahrhundert von Antonio Luigi Gaudenzio Giuseppe Cremona entwickelt. Die dem Cremonaplan zugrundeliegenden Methoden sind sehr hilfreich bei der Ausbildung. Im Computerzeitalter erfolgt die Ermittlung der Stabkr\u00E4fte in der Regel schneller und bequemer ohne die grafische Darstellung des Kraftecks."@de , "Cremonas kraftplan \u00E4r en av den italienske matematikern Luigi Cremona vetenskapligt behandlad metod att best\u00E4mma sp\u00E4nningen i de olika st\u00E4ngerna inom ett plant fackverk. Metoden grundar sig d\u00E4rp\u00E5, att samtliga krafter i en knutpunkt, yttre belastningar och st\u00E5ngsp\u00E4nningar, h\u00E5ller varandra i j\u00E4mvikt. Uppritas d\u00E4rf\u00F6r dessa krafter parallellt med sina riktningslinjer i en viss kraftskala, bildar de en sluten polygon, en kraftplan."@sv , "The Cremona diagram is a graphical method used in statics of trusses to determine the forces in members. The method was created by the Italian mathematician Luigi Cremona. In the Cremona method, first the external forces and reactions are drawn forming a vertical line in the lower right side of the picture. This is the sum of all the force vectors and is equal to zero as there is mechanical equilibrium."@en ; foaf:depiction . @prefix skos: . @prefix ns10: . dbpedia:Cremona_diagram skos:subject ns10:Structural_system , ns10:Diagrams , ns10:Mechanics . @prefix ns11: . dbpedia:Cremona_diagram dbpprop:hasPhotoCollection ns11:Cremona_diagram . @prefix yago: . yago:Cremona_diagram owl:sameAs dbpedia:Cremona_diagram .