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Uniform Force Over Entire Plate Beam Stress and Deflection Equations and Calculator

Flat Rectangular Uniform over entire plate plus uniform tension or compression P lb/linear in applied to short 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 Uniform over entire plate plus uniform tension or compression P lb/linear 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

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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