**Related Resources: calculators**

### Equilateral Triangle Plate Loading Small Circle Stress and Deflection Equation and Calculator

Equilateral triangle plate; all edges simply supported with uniform loading over small circle of radius r_{o} at x = 0; z = 0 Stress and Deflection Equation and Calculator.

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

Equilateral Triangle Plate
Uniform Loading small circle of radius r _{o} atx = 0; z = 0 |

Stress at x = 0, z = 0

Where:

if r_{o} < 0.5t

*r' _{o}* = r

_{o}if r

_{o}≥ 0.5t

Deflection at x = 0, z = 0

Where:

W = Total applied load (force) (lbs)

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

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

a = Width of plate (in)

D = Diameter load area (in)

r_{o} = radius load area (in)

r'_{o} = equivalent radius of contact for load concentrated in small area (in)

σ = stress, (lbs/in^{2})

y = Deflection (in)

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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