Which theory of failure will you use for aluminium components under steady loading?

Explanation

Explanation:- Maximum Shear Stress Theory ( MSST ) According to this theory, failure occurs when maximum shear stress at any point reaches the yield strength. Condition for safe design: For tri-axial state of stress, For bi-axial state of stress, This theory is well suitable for ductile materials. MSST is not suitable for hydrostatic loading. Important Points For brittle material Theories of failure Shape Maximum Principal Stress theory (RANKINE’S THEORY) Square Maximum Principal Strain theory (St. VENANT’S THEORY) Rhombus Total Strain Energy theory (HAIGH’S THEORY) Ellipse τ ​ ≤ max ​ = N S ​ ys ​ 2N S ​ yt Max ​ ​ ​ , ​ ​ ​ , ​ ​ ​ ≤ {∣∣ 2 σ ​−σ ​ 1 2 ∣∣ ∣∣ 2 σ ​−σ ​ 2 3 ∣∣ ∣∣ 2 σ ​−σ ​ 3 1 ∣∣} ​ 2N S ​ yt Max ​ ​ ​ , ​ ​ ​ , ​ ​ ​ ≤ {∣∣ 2 σ ​−σ ​ 1 2 ∣∣ ∣∣ 2 σ ​2 ∣∣ ∣∣ 2 σ ​3 ∣∣} ​ 2N S ​ yt For Ductile material Theories of failure Shape Maximum Shear Stress Theory (GUEST AND TRESCA’S THEORY) Hexagon Maximum Distortion Energy Theory (VON MISES AND HENCKY’S THEORY) Ellipse