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### Load Uniformly Decreasing from z = 0 to z = (1/3) b Flat Rectangular Plate Equation and Calculator

Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = (1/3) b Equation and Calculator.

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

Flat Rectangular plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = (1/3) b.

 Rectangular plate; Two Edges Fixed Two Edges Free Load Uniformly Decreasing from z = 0 to z = (1/3) b At x = 0, z = 0
Stress and Reaction Force Reaction Force Stress and Reaction Force at x = 0, z = 0.2b Reaction Force Where used:
E = Modulus of Elasticity (lbs/in2)
q = Total load or force to Plate (lbs/in2)
v = Poisson’s ratio (assumed to be 0.3)
t = plate thickness, (in)
a = plate length, (in)
b = plate width, (in)
σb = stress, (lbs/in2)
R = Reaction Force (lbs/in)
β1,2 = Constant From Table A
γ1,2 = Constant From Table A

Table A

 a/b 0.125 0.25 0.375 0.5 0.75 1 β1 0.025 0.052 0.071 0.084 0.1 0.109 β2 0.014 0.028 0.031 0.029 0.025 0.02 γ1 0.193 0.217 0.17 0.171 0.171 0.171 γ2 0.048 0.072 0.076 0.075 0.072 0.072

Reference:

Roarks Formulas for Stress and Strain, 7th Edition