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### loading Uniformly decreasing to 1/3 b Deflection Equation and Calculator. Per. Roarks Formulas

Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to zero at 1/3 b Stress and Deflection Equation and Calculator.

Per. Roarks Formulas for Stress and Strain 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 zero at 1/3 b.

 Rectangular plate; one edge fixed, opposite edge free, remaining edges simply supported. Uniformly decreasing from fixed edge to zero at 2/3 b. 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 0.023 0.048 0.061 0.073 0.088 0.097 0.105 γ 0.115 0.149 0.159 0.164 0.167 0.168 0.168

Reference:

Roarks Formulas for Stress and Strain, 7th Edition