Theoretical stress concentration factors (K_{t}) of central single circular hole in finite width plate can be calculated by this calculator for tension, in-plane and simple transverse bending loads. The calculator also finds maximum stress values at the edge of plate and hole if loading parameters are known. See footnotes of the "Results" table for the necessary equations for the stress calculations.
There exist some validity conditions for the equations which are used in the calculations. If input parameters don't satisfy validity conditions of equations, a warning message is given by the calculator.
Note: Use dot "." as decimal separator.
Note 1: * Geometry rises σ_{nom} by a factor of K_{t} . (K_{t }= σ_{max}/σ_{nom})
Note 2: ^{o} σ_{nom}= P/[t(D-d)] (Nominal tension stress at the plate cross section due to tension load)
Note 3: ^{+} σ_{nom} = 6Md/[t(D^{3}-d^{3})] (Nominal tension stress at the edge of hole due to bending)
Note 4: ^{x} σ_{nom} = 6MD/[t(D^{3}-d^{3})] (Nominal tension stress at the edge of plate due to bending)
Note 5: ^{#} σ_{nom} = 6M_{1}/[t^{2}(D-d)] (Nominal tension stress at the edge of plate due to bending)
Note 6: α=30°
Note 7: K_{tA } = (σ_{max}/σ_{nom}) Theoretical stress concentration factor at point A in elastic range
Note 8: K_{tB } = (σ_{max}/σ_{nom}) Theoretical stress concentration factor at point B in elastic range
Stress Concentration Factor: Dimensional changes and discontinuities of a member in a loaded structure causes variations of stress and high stresses concentrate near these dimensional changes. This situation of high stresses near dimensional changes and discontinuities of a member (holes, sharp corners, cracks etc.) is called stress concentration. The ratio of peak stress near stress riser to average stress over the member is called stress concentration factor.
K_{t}: Theoretical stress concentration factor in elastic range = (σ_{max}/σ_{nom})