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Uniform over 1/3 of Plate from Fixed Edge Equation and Calculator
Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniform over 1/3 of Plate from Fixed Edge Equation and Calculator.
Per. Roarks Formulas for Stress and Strain for flat plates with straight boundaries and constant thickness
Flat Rectangular plate, Three Edges Fixed, One Edge Loading Uniform over 1/3 of Plate from Fixed Edge.
Rectangular plate;
Three Edges Fixed One Edge Free 
Loading Uniform over
1/3 of Plate from Fixed Edge 
At x = 0, z = 0
Stress and Reaction Force
Reaction Force
Stress and Reaction Force at x = ± a/2, z = 0.2b
Reaction Force
Where used:
E = Modulus of Elasticity (lbs/in^{2})
q = Total load or force to Plate (lbs/in^{2})
v = Poisson’s ratio (assumed to be 0.3)
t = plate thickness, (in)
a = plate length, (in)
b = plate width, (in)
σ_{b} = stress, (lbs/in^{2})
R = Reaction Force (lbs/in)
β_{1,2} = Constant From Table A
γ_{1,2} = Constant From Table A
Table A
a/b

.25

0.50

0.75

1.0

1.5

2.0

3.0

β_{1}

0.020

0.068

0.110

0.148

0.202

0.240

0.290

β_{2}

0.026

0.063

0.084

0.079

0.068

0.057

0.040

γ_{1}

0.115

0.210

0.257

0.291

0.316

0.327

0.335

γ_{2}

0.111

0.170

0.194

0.185

0.174

0.170

0.180

Reference:
Roarks Formulas for Stress and Strain, 7th Edition