Structural beam analysis calculator using Euler-Bernoulli beam theory. Calculate maximum deflection, bending moments, shear forces, reactions, and bending stress for simply supported, cantilever, and fixed beams under point and distributed loads.
Enter distance to extreme fiber to calculate maximum bending stress
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Analyze beams under various loading and support conditions using Euler-Bernoulli beam theory. Calculate maximum deflection, bending moments, shear forces, support reactions, and bending stress for structural engineering applications.
Beam analysis determines the internal forces and deformations in structural members subjected to loads. Using Euler-Bernoulli beam theory, engineers calculate bending moments (M), shear forces (V), deflections (δ), and stresses (σ) to ensure structural safety and serviceability. The analysis depends on support conditions (simply supported, cantilever, fixed) and load types (point loads, distributed loads).
Key Beam Formulas
M = PL/4, δ = PL³/(48EI), σ = Mc/IEnsure beams can safely support applied loads without failure.
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A simply supported beam rests on supports at both ends that allow rotation (like a plank on two sawhorses). A cantilever beam is fixed at one end and free at the other (like a diving board). Cantilevers experience higher moments and deflections for the same load and span.