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### Flat Rectangular Plate Uniform loading Stress and Deflection Equations and Calculator

Flat Rectangular Plate; two long edges simply supported, two short edges fixed Uniform loading over entire plate Stress and Deflection Equation and Calculator.

Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness

Rectangular plate; two long edges simply supported, two short edges fixed Uniform loading over entire plate Stress Maximum at center of shorter edge: Deflection at center: Symbols used:
E = Modulus of Elasticity (N/m2, lbs/2)
q = Applied Load or Force to Flat Area of Plate (N/m2, lbs/2)
v = Poisson’s ratio (assumed to be 0.3)
t = plate thickness, (m, in)
a = plate length, (m, in)
b = plate width, (m, in)
σ max = maximum stress, (N/m2, lbs/in2)
ymax = Maximum deflection (m, in)
α = From Table A
β = From Table A

Table A

 a/b 1 1.2 1.4 1.6 1.8 2 ∞ β 0.4182 0.4626 0.486 0.4968 0.4971 0.4973 0.500 α 0.021 0.0243 0.0262 0.0273 0.028 0.0283 0.0285

Reference:

Roarks Formulas for Stress and Strain, 7th Edition 