Interactive Mohr circle explorer

Physical space Point P with inclined face. Unit vectors n-hat and s-hat form the face basis. Traction vector t decomposes into sigma_n and tau. Physical space x̂ ŷ P n̂ ŝ θ σ_n τ t Mohr circle Cerchio di Mohr nel piano sigma tau. Il punto si sposta tracciando un arco liscio. Mohr circle σ τ σ_m σ₁ σ₂ θ=0° 100 30 2θ=0°
θ 0°
σ_n = 100.0 MPa τ = 30.0 MPa |t| = 104.4 MPa
σ_n = σ_m + a·cos2θ + τ_xy·sin2θ
    = 70 + 30·cos(0°) + 30·sin(0°) = 100.0 MPa
τ   = −a·sin2θ + τ_xy·cos2θ
    = −30·sin(0°) + 30·cos(0°) = 30.0 MPa