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

Stress Maximum (Equations for σ_a and σ_b are stresses due to bending only;):


Stress Maximum Including Direct Stress and σ_a

	+ P/t
	+ P/t

Where α β_x and β_y depend on ratios a / b and P / P_E where:

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

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

Reference:

Roarks Formulas for Stress and Strain, 7th Edition