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All Edges Fixed Uniform Loading Over Entire Plate Stress and Deflection Equation and Calculator
Flat Rectangular Plate; all edges fixed. uniform 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
Rectangular plate; all edges fixed. uniform loading over entire plate.
Preview: Flat Rectangular Plate all edges fixed. uniform loading over entire plate calculator
Rectangular plate;
all Edges Fixed 
Stress at center of long edge:
Stress at center:
Deflection at center:
Symbols used:
E = Modulus of Elasticity (lbs.in^{2})
q = Applied Line 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 = stress, (lbs/in^{2})
γ_{max} = Deflection (in)
β_{1,2} = Constant From Table A
α = Constant From Table A
Table A
a/b

1.0

1.2

1.4

1.6

1.8

2.0

∞

β_{1}

0.3078

0.3834

0.4356

0.4680

0.4872

0.4974

0.5000

β_{2}

0.1386

0.1794

0.2094

0.2286

0.2406

0.2472

0.2500

α

0.0138

0.0188

0.0226

0.0251

0.0267

0.0277

0.0284

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