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Chapter 6

Structural Analysis

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Introduction aux structures

A structure is defined as a system of interconnected members designed to support or transfer forces and successfully withstand the loads acting on them. ...

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Fermes simples

A truss is a structural framework consisting of slender members connected at joints, designed to support external loads while minimizing material usage ...

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Méthode des assemblages

The method of joints is a commonly used technique to analyze the forces in structural trusses. The method is based on the principle of equilibrium, which ...

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Méthode d’assemblage : résolution de problèmes I

The method of joints is a commonly used technique to analyze the forces in structural trusses. The method is based on the principle of equilibrium, which ...

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Méthode d’assemblage : résolution de problèmes II

Consider a truss structure with frictionless joints fixed to a wall and roller support. If a force of 150 N is applied to joint A, the forces in each ...

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Membre Zero-Force

A truss is a framework that comprises slender members connected at their ends by joints. Trusses are widely used in engineering and architecture to ...

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Méthode des sections

Consider a truss structure, as shown in the figure. Forces F1 and F2 act at joints B and D, respectively. The method of sections can be employed to ...

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Méthode des sections : Résolution de problèmes I

Consider a symmetrical roof truss structure, composed of vertical, diagonal, and horizontal members. The length of each horizontal member is 4 m. The ...

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Méthode des sections : Résolution de problèmes II

Consider an arbitrary truss structure composed of diagonal, vertical, and horizontal members fixed to the wall. To calculate the force acting on members ...

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Fermes d’espace

A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ...

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Fermes spatiales : résolution de problèmes

A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ...

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Cadres

Frames are essential components of various mechanical and structural systems used daily. These structures are known for their stability and ability to ...

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Cadres : Résolution de problèmes I

Consider a jib crane with an external load suspended from the pulley. The dimensions of the crane members are shown in the figure. A systematic analysis ...

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Cadres : Résolution de problèmes II

Consider a hydraulic hoist supporting a load of 1 kN. Assuming a simplified schematic representation of this frame structure, the force acting on BD and ...

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Machines

Machines are complex structures consisting of movable, pin-connected multi-force members that work together to transmit forces. One example of a machine ...

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Machines : résolution de problèmes I

A toggle clamp is a mechanical device commonly used for holding and clamping objects in various applications, such as woodworking, metalworking, and ...

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Machines : résolution de problèmes II

Machines are complex structures consisting of movable, pin-connected multi-force members that work together to transmit forces. Consider a lifting tong ...