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### Three-Element Delta Rosette Strain Gage Equations and Calculator

**Strength of Materials**

**Structural Deflections and Stress Equations and Calculator **

Three-Element Delta Rosette Strain Gage Equations and Calculator

The principal strains and stresses are given relative to the xy coordinate axes as shown below.

Preview: Three-Element Delta Rosette Strain Gage Calculator

Three-Element Rectangular Rosette

Maximum Principal Strain

Minimum Principal Strain

Principal Stresses:

Maximum Principal Stress

Minimum Principal Stress

Treating the tan^{-1} as a single-valued function, the angle counterclockwise from gage A to the axis containing ε_{p1} or σ_{p1} is given by:

Where:

E = Young's Modulus (N/m^{2}, lbs/in^{2})

ν = Poissons Ratio

ε = strain (μm/m, μin/in) µ

σ = Stress (N/m^{2}, lbs/in^{2})

θ_{p} = Angle (degrees)

Reference:

Roarks Formulas for Stress and Strain

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