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The Cremona diagramalso known as the Cremona- Maxwell method, is a graphical method used in statics of trusses to determine the forces in members graphic statics. The method was developed cremonaa the Italian mathematician Luigi Cremona.
In the Cremona method, first the external forces and reactions are drawn to scale 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. 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. The same steps can be taken for joints DH 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.
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Wind force may introduce larger viagrama in the individual truss members than the static vertical loads. From Wikipedia, the free encyclopedia.
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Cremona diagram – Wikipedia