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Flat Rectangular Plate Uniform Loading over Small Concentric Circle Area Stress Equation and Calculator.

Preview:Flat Rectangular Plate Stress and Deflection Load Applied at Center Calculator

Stress at Center

If r_o < 0.5t

if r_o ≥ 0.5t then r'_o = r_o

Deflection:

Symbols used:
W = Total applied load or force(N, lbs)
v = Poisson’s ratio (assumed to be 0.3)
t = plate thickness, (m, in)
a = plate length, (m, in)
b = plate width, (m, in)
r_o = Radius, (m, in)
σ_max = maximum stress, (N/m², lbs/in²)

Table for β

Reference:

Roarks Formulas for Stress and Strain, 7th Edition