Alberto Castigliano, an Italian railroad engineer, who through a stroke of brilliance derived a new method to calculate displacements and slopes.
His method is simple and can be used to calculate Δ or slope θ at any point in the structure as well, similar to virtual work. However the method is quite difficult to explain using words, so we’ll present the formulas and teach you by working through examples and questions.
The theorem can be applied to find the displacement Δ in trusses via:
Alberto Castigliano, an Italian railroad engineer, who through a stroke of brilliance derived a new method to calculate displacements and slopes.
His method is simple and can be used to calculate Δ or slope θ at any point in the structure as well, similar to virtual work. However the method is quite difficult to explain using words, so we’ll present the formulas and teach you by working through examples and questions.
The theorem can be applied to find the displacement Δ in trusses via:
Note:
Complex? Not to worry, we’ll be looking at an example real soon. But first, let’s look at the Castigliano’s theorem applied to beams.
The theorem can be applied to find the displacement Δ or slope θ in beams via:
Okay! Let’s look at an example now.
Note:
Complex? Not to worry, we’ll be looking at an example real soon. But first, let’s look at the Castigliano’s theorem applied to beams.
The theorem can be applied to find the displacement Δ or slope θ in beams via:
Okay! Let’s look at an example now.