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

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

Strength of Materials
Beam Stress Deflection

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

Preview: Equilateral triangle; all edges simply supported with uniform loading over small circle of radius r_o at x = 0; z = 0 plate Stress and Deflection Calculator

Equilateral Triangle Plate
Uniform Loading
small circle of radius r_o at
x = 0; z = 0
Parallelogram Plate

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/in²)
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/in²)
y = Deflection (in)

Reference:

Roarks Formulas for Stress and Strain, 7th Edition