Yfilios Solution

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Structural Analysis-Castigliano Theorem

Castigliano’s theorem determines deflection and slope by adding a virtual force, P’ to an interested point. The internal forces due to this loading…

Virtual work method consists of two main steps to determine structure’s slope and deflection. First, internal forces due to actual loading are dete…

Beam is converted to conjugate beam based on its end conditions. Moment acting in beam is divided by EI and then treated as load acting on the conj…

Moment area method requires M/EI diagram, which is developed from bending moment diagram. Given points A and B on the elastic curve: Area under d…

Implementation of elastic beam theory requires these steps: Derive moment function as a function of location. Integrate the function twice. Determi…

Elastic beam theory is widely used to calculate beam deflection. To implement the theory, these assumptions should be adhered: Beam material is i…

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Unlike truss, shear force and moment are essential for design of frame and beam. Elements are cut, and internal shear and moment are identified. …

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