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### Flat Rectangular Plate; Three Edges Simply Supported With Uniformly increasing along the a side Equation and Calculator

Flat Rectangular Plate; Three Edges Simply Supported, one Edge (b) Free Stress and Deflection With Uniformly increasing along the a side Equation and Calculator.

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

Stress Maximum:

Deflection:

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 0.5 0.667 1 1.5 2 2.5 3 3.5 4 β 0.11 0.16 0.2 0.28 0.32 0.35 0.36 0.37 0.37 α 0.026 0.033 0.04 0.05 0.058 0.064 0.067 0.069 0.07

Reference:

Roarks Formulas for Stress and Strain, 7th Edition