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Saint-Venant's torsion theory

Saint-Venant's torsion theory addresses how long, thin objects like beams twist when a force is applied. When you apply a torque (twisting force) to one end of a beam, it doesn’t just twist uniformly; the distortion varies along its length. This theory helps predict how much and where the beam will twist, taking into account its shape and material properties. Understanding this behavior is crucial in engineering and design to ensure structures can withstand forces without failing, ensuring safety and stability in buildings, bridges, and various mechanical components.