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Flat Rectangular Plate Uniform Force Entire Plate Equations and Calculator

Flat Rectangular Uniform over entire plate plus uniform over entire plate plus uniform tension P lb=linear in applied to all edges Stress and deflection Equation and Calculator.

Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness

Preview: Flat Rectangular Plate Uniform Force over entire plate Calculator

Flat Rectangular Plate Stress and Deflection Increasing Loading Along Length Calculator

Stress Maximum (Equations for σa and σb are stresses due to bending only;):
Stress Maximum
Stress Maximum
Stress Maximum Including Direct Stress and σa

Stress Maximum + P/t
Stress Maximum + P/t

Where α βx and βy depend on ratios a / b and P / PE where:

Coeeficient pE
Deflection:
Deflection

Symbols used:
E = Modulus of Elasticity (N/m2, lbs/2)
q = Applied Load or Force to Flat Area of Plate (N/m2, lbs/2)
P = Tension or Compression to Short Edges (N/m, Lbs/in)
v = Poisson’s ratio (assumed to be 0.3)
t = plate thickness, (m, in)
a = plate length, (m, in)
b = plate width, (m, in)
σ max = maximum stress, (N/m2, lbs/in2)
ymax = Maximum deflection (m, in)
α = From Table A
βx = From Table A
βy = From Table A

Table A (Click on Table to enlarge in Pop-up Window)

Table A

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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