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Three Edges Fixed, One Edge Simply Supported Plate Stress and Reaction Loading Equation and Calculator
Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Over Entire Plate Stress and Deflection 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 Over Entire Plate
Rectangular plate;
Three Edges Fixed 
At x = 0, z = 0
Stress
Reaction Force
Stress at x = 0, z = 0.6b
and 
At x = 0, z = b
Reaction Force
At x = ± a/2, z = 0.6b
Stress
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_{1,2,3,4} = Constant From Table A
γ_{1,2,3} = 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

0.081

0.173

0.307

0.539

0.657

0.718

β_{2}

0.004

0.018

0.062

0.134

0.284

0.370

0.422

β_{3}

0.016

0.061

0.118

0.158

0.164

0.135

0.097

β_{4}

0.031

0.121

0.242

0.343

0.417

0.398

0.318

γ_{1}

0.115

0.230

0.343

0.453

0.584

0.622

0.625

γ_{2}

0.123

0.181

0.253

0.319

0.387

0.397

0.386

γ_{3}

0.125

0.256

0.382

0.471

0.547

0.549

0.530

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