Rectangular plate, uniform load, simply supported (Empirical) equations and calculator

Since comers tend to rise off the supports, vertical movement must be prevented without restricting rotation.

Symbols used:
a = minor length of rectangular plate, (m, in)
b = major length of rectangular plate, (m, in)
p = uniform pressure loading, (Pa, lbs/in²)
v = Poisson’s ratio
E = Young’s modulus, (N/m², lbs/in²)
t = plate thickness, (m, in)
s _m = maximum stress, (N/m², lbs/in²)
y_m = maximum deflection, (m, in)

Stress At Center

Deflection at center

D = flexural rigidity= Et³/(12 ( 1 -v²)