Continuous Plate Supported on an Elastic Foundation Stress and Deflection Equation and Calculator

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Continuous Plate Supported on an Elastic Foundation Stress and Deflection Equation and Calculator

Strength of Materials
Beam Stress Deflection

Continuous Plate Supported on an Elastic Foundation of Modulus k (lb/in²/in) Stress and Deflection Equation and Calculator.

Uniform loading over a small circle of radius r_o, remote from the edges.

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

Preview: Continuous Plate Supported on an Elastic Foundation of Modulus k (lb/in²/in) Stress and Deflection Calculator

Uniform Loading over a
Small Circle of
Radius r_o, Remote
from Edges
Flat Rectangular Plate, Two Edges Fixed, Two Edges Free

Stress Under Load

Where:

Max. Foundation Pressure

Deflection:

Where:

W = Total load (force) (lbs)
v = Poisson’s ratio (assumed to be 0.3)
E = Modulus of Elasticity (lb/in²)
D_o = Diameter where loading applied (in)
r_o = Radius where loading applied (in)
k = Foundation of Modulus (lb/in²/in)
σ_a = stress, (lbs/in²)
q_o = Maximum Foundation Pressure (lbs/in²)
y_max = Deflection (in)

Reference:

Roarks Formulas for Stress and Strain, 7th Edition