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### Flat Rectangular Plate Stress and Deflection Equation and Calculator.

Flat Rectangular Plate; two long edges fixed, two short edges simply supported 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 fixed, two short edges simply supported Uniform loading over entire plate Stress Maximum at center of long edges: 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