**Related Resources: calculators**

### Uniform Loading over a Small Circle of Radius on Plate Stress and Deflection Equation and Calculator

Continuous Plate Supported on an Elastic Foundation of Modulus k (lb/in^{2}/in) Stress and Deflection Equation and Calculator.

Uniform loading over a small circle of radius r_{o}, adjacent to edge but remote from corner.

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

Uniform loading over a
small circle of radius r _{o},adjacent to edge but remote from corner. |

Stress Under Load

Where:

Deflection:

Where:

W = Total load (force) (lbs)

v = Poisson’s ratio (assumed to be 0.3)

E = Modulus of Elasticity (lb/in^{2})

D_{o} = Diameter where loading applied (in)

r_{o} = Radius where loading applied (in)

k = Foundation of Modulus (lb/in^{2}/in)

σ_{a} = stress, (lbs/in^{2})

q_{o} = Maximum Foundation Pressure (lbs/in^{2})

y_{max} = Deflection (in)

Reference:

Roarks Formulas for Stress and Strain, 7th Edition