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Parallelogram Plate Edges Fixed Stress and Deflection Equation and Calculator

Parallelogram plate (skew slab) all edges fixed with 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

 Parallelogram Plate Uniform Loading Over Entire Plate

Stress Along Longer Edge Toward Obtuse Angle

Stress at Center of Plate

Deflection at Center of Plate:

Note: θ and a/b must BOTH have values

 θ a/b 1.00 1.25 1.50 1.75 2.00 2.25 2.50 3.00 0° β1 0.308 0.400 0.454 0.481 0.497 - - - β2 0.138 0.187 0.220 0.239 0.247 - - - α 0.0135 0.0195 0.0235 0.0258 0.0273 - - - 15° β1 0.320 0.412 0.483 0.531 0.553 - - β2 0.135 0.200 0.235 0.253 0.261 - - α 0.0127 0.0189 0.0232 0.0257 0.0273 - - 30° β1 - 0.400 0.495 0.547 0.568 0.580 - - β2 - 0.198 0.221 0.235 0.245 0.252 - - α - 0.0168 0.0218 0.0249 0.0268 0.0281 - - 45° β1 - - 0.394 0.470 0.531 0.575 0.601 - β2 - - 0.218 0.244 0.260 0.265 0.260 - α - - 0.0165 0.0208 0.0242 0.0265 0.0284 - 60° β1 - - - - 0.310 0.450 0.538 0.613 β2 - - - - 0.188 0.204 0.214 0.224 α - - - - 0.0136 0.0171 0.0198 0.0245

Where:

q = Applied load (force) (lbs/in2)
v = Poisson’s ratio (assumed to be 0.3)
β = Table data for a/b = 2.0
α = Table data for a/b = 2.0
E = Modulus of Elasticity (lb/in2)
a = Width of plate (in)
b = Height of plate (in)
σmax = stress, (lbs/in2)
ymax = Deflection (in)

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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