Home

This calculator computes the maximum stress of a free on one edge, clamped on three edges rectangular plate under a uniformly distributed load.

Inputs
Loading:	Uniform Load p =     Pa kPa MPa GPa psi ksi lbf/ft^2 kgf/cm^2 atm bar mmHg inHg ftH2O
Geometry:	Width Lx =     km m cm mm micron mi yd ft in mil  Length Ly =    Thickness h =     km m cm mm micron mi yd ft in mil Boundary   Free edge along x axis   Free edge along y axis
Material:	Young's modulus E =     Pa kPa MPa GPa psi ksi lbf/ft^2 kgf/cm^2 atm bar mmHg inHg ftH2O  Poisson's ratio =
Output:	Unit of displacement w =   km m cm mm micron mi yd ft in mil  Unit of stress =   Pa kPa MPa GPa psi ksi lbf/ft^2 kgf/cm^2 atm bar mmHg inHg ftH2O

where the maximum displacement is expressed in terms of the length of the clamped edges that are adjacent to the free edge and the values of c₁ are listed in the following table.

Hence, w_max = 0.054689395931 mm 0.0547 mm

The formula is valid for most materials that have a Poisson's ratio around 0.3. However, the Poisson's ratio has a very limited effect on the displacement and the above calculation normally gives a very good approximation in most practical cases. The coefficient c₁ is calculated by polynomial least-square curve-fitting.  

Notice that the maximum stress is expressed in terms of the length of the clamped edges that are adjacent to the free edge and the values of c₂ are listed in the following table.

Hence, _max = 0.202474389384 MPa 0.202 MPa

The formula is valid for materials that have a Poisson's ratio around 0.3. The coefficient c₂ is calculated by polynomial least-square curve-fitting.