Core - Mechanical Engineering

Chapter 6

Structural Analysis

6.1 : Introduction to Structures

6.1 : Introduction to 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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6.2 : Simple Trusses

6.2 : Simple Trusses

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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6.3 : Method of Joints

6.3 : Method of Joints

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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6.4 : Method of Joints: Problem Solving I

6.4 : Method of Joints: Problem Solving 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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6.5 : Method of Joints: Problem Solving II

6.5 : Method of Joints: Problem Solving 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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6.6 : Zero-Force Member

6.6 : Zero-Force Member

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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6.7 : Method of Sections

6.7 : Method of 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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6.8 : Method of Sections: Problem Solving I

6.8 : Method of Sections: Problem Solving 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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6.9 : Method of Sections: Problem Solving II

6.9 : Method of Sections: Problem Solving 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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6.10 : Space Trusses

6.10 : Space Trusses

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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6.11 : Space Trusses: Problem Solving

6.11 : Space Trusses: Problem Solving

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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6.12 : Frames

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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6.13 : Frames: Problem Solving I

6.13 : Frames: Problem Solving 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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6.14 : Frames: Problem Solving II

6.14 : Frames: Problem Solving 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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6.15 : Machines

6.15 : 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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6.16 : Machines: Problem Solving I

6.16 : Machines: Problem Solving 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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6.17 : Machines: Problem Solving II

6.17 : Machines: Problem Solving II

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

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