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Solid Mechanics Stress
Solid Mechanics Strain
Hooke's Law
Failure Criteria
Beams
Buckling
Dynamics
Fluid Mechanics
Heat Transfer
Plate Equation
The out-of-plane displacement w of a beam is governed by the Euler-Bernoulli Beam Equation,

where p is the distributed loading (force per unit length) acting in the same direction as y (and w), E is the Young's modulus of the beam, and I is the area moment of inertia of the beam's cross section.

If E and I do not vary with x along the length of the beam, then the beam equation simplifies to,

 

Introduction Kinematics Consitutive Equation Force Resultants Force Equilibrium Symbols Sign Convention

 

 

 

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