Flat Rectangular Plate; Three Edges Simply Supported, one Edge (b) Free Stress and Deflection With Uniformly increasing along the a side 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 Three Edges Simply Supported Calculator

Stress Maximum:


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)
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)
y_max = Maximum deflection (m, in)
α = From Table A
β = From Table A

Table A

Reference:

Roarks Formulas for Stress and Strain, 7th Edition