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Loading Uniformly Over Entire Plate Stress and Reaction Loading Equation and Calculator
Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly Over Entire Plate Stress and Reaction Loading 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 Uniformly Over Entire Plate
Rectangular plate;
Three Edges Fixed 
At x = 0, z = 0
Stress and Reaction Force
Reaction Force
Stress and Reaction Force at x = 0, z = b
Stress and Reaction Force at x = ± a/2, z = b
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} = 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

0.081

0.173

0.321

0.727

1.226

2.105

β_{2}

0.016

0.066

0.148

0.259

0.484

0.605

0.519

β_{3}

0.031

0.126

0.286

0.511

1.073

1.568

1.982

γ_{1}

0.114

0.230

0.341

0.457

0.673

0.845

1.012

γ_{2}

0.125

0.248

0.371

0.510

0.859

1.212

1.627

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