What is Buckling? Write an equation for bending of beam
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Answer:
Buckling is the event where a beam spontaneously bends from straight to curved under a compressive load. ... Also it describes the relation between the force and the distance between the two ends of the beam, the force-strain curve. The model uses Hooke's law and the balance of the force and bending moment of the beam
The bending equation stands as σ/y = E/R = M/T.
The Euler column formula predicts the critical buckling load of a long column with pinned ends. The Euler formula is P cr = π 2 ⋅ E ⋅ I L 2 where E is the modulus of elasticity in (force/length2), I is the moment of inertia (length4), L is the length of the column.
Euler Buckling Theory is the classical theory presented in textbooks and classrooms. It begins simply by noting that the internal bending moment in a loaded and deformed column is −Py where P is the compressive load and y is the column deflection.
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