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### Flat Rectangular Plate one Edge Fixed Stress Deflection With Uniform Loading Equations and Calculator

Flat Rectangular Plate; Three Edges Simply Supported, one long Edge Fixed Stress and Deflection With Uniform Loading over entire plate Equation and Calculator.

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

Rectangular plate; three edges simply supported, one long edge (a) fixed with Uniform loading over entire plate.

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 1 1.5 2 2.5 3 3.5 4 β 0.5 0.66 0.73 0.74 0.74 0.75 0.75 α 0.03 0.046 0.054 0.056 0.057 0.058 0.058

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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