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### Plate Loading Uniformly Decreasing from Fixed Edge Stress and Deflection Equation and Calculator

Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to free edge 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; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to free edge.

 Rectangular plate; one edge fixed, opposite edge free, remaining edges simply supported. Uniformly decreasing from fixed edge to free edge. Stress Maximum at center of fixed edge: and R = γqb

Symbols used:
q = Applied Load or Force to Flat Area of Plate (N/m2, lbs/2)
v = Poisson’s ratio (assumed to be 0.2)
t = plate thickness, (m, in)
a = plate length, (m, in)
b = plate width, (m, in)
σ = stress, (N/m2, lbs/in2)
R = Reaction force per unit length (N/m, lbs/in) normal to the plate surface exerted by the boundary support on the edge of the plate.
β = Constant From Table A
γ = Constant From Table A

Table A

 a/b 0.25 0.5 0.75 1 1.5 2 3 β 0.037 0.12 0.212 0.321 0.523 0.677 0.866 γ 0.159 0.275 0.354 0.413 0.482 0.509 0.517

Reference:

Roarks Formulas for Stress and Strain, 7th Edition  