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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 Stress at center of long edge: Stress at center: Deflection at center: Symbols used:
E = Modulus of Elasticity (lbs.in2)
q = Applied Line 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)
σ = stress, (lbs/in2)
γmax = Deflection (in)
β1,2 = Constant From Table A
α = Constant From Table A

Table A

 a/b 1 1.2 1.4 1.6 1.8 2 ∞ β1 0.3078 0.3834 0.4356 0.468 0.4872 0.4974 0.5000 β2 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  