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This calculator computes the maximum displacement and stress of a clamped (fixed) rectangular plate under a uniformly distributed load.

Inputs
Loading:	Uniform loading 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
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 =   0.3
Output:	Unit of displacement w =   km m cm mm micron mi yd ft in mil

where values of c₁ are listed in the following table.

Max(Lx/Ly, Ly/Lx)	1.0	1.2	1.4	1.6	1.8	2.0
c1	0.0138	0.0188	0.0226	0.0251	0.0267	0.0277	0.0284

Hence, w_max = 0.00539062500001 mm 0.00539 mm

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

where values of c₂ are listed in the following table.

Max(Lx/Ly, Ly/Lx)	1.0	1.2	1.4	1.6	1.8	2.0
c2	0.3078	0.3834	0.4356	0.4680	0.4872	0.4974	0.5000

Hence, _max = 0.192375 MPa 0.192 MPa

The formula is valid for most commonly used metal materials that have Poission's ratios around 0.3. The coefficient c₂ is calculated by the polynomial least-square curve-fitting.