Tension of a finite-width element having an eccentrically located circular hole
s_Stress_Concentration_Factors/Holes/Finite-width element having an eccentrically located circular hole.svg "Finite-width_element_having_an_eccentrically_located_circular_hole")
Values for calculation
Calculation
Dimension $ e $
$$e=H-c$$
$$0\le c/e\le 1$$
Coefficient $ C_1 $
$$C_1=2.9969-0.0090\cdot\left(\cfrac{c}{e}\right)+0.01338\cdot\left(\cfrac{c}{e}\right)^2$$
Coefficient $ C_2 $
$$C_2=0.1217+0.5180\cdot\left(\cfrac{c}{e}\right)-0.5297\cdot\left(\cfrac{c}{e}\right)^2$$
Coefficient $ C_3 $
$$C_3=0.5565+0.7215\cdot\left(\cfrac{c}{e}\right)+0.6153\cdot\left(\cfrac{c}{e}\right)^2$$
Coefficient $ C_4 $
$$C_4=4.082+6.0146\cdot\left(\cfrac{c}{e}\right)-3.9815\cdot\left(\cfrac{c}{e}\right)^2$$
Stress concentration factor with the nominal stress based on gross area
$$K_{tg}=C_1+C_2\cdot\left(\cfrac{d}{2\cdot c}\right)+C_3\cdot\left(\cfrac{d}{2\cdot c}\right)^2+C_4\cdot\left(\cfrac{d}{2\cdot c}\right)^3$$
Nominal or reference normal stress
$$σ_{nom}=\cfrac{σ\cdot\sqrt{1-\left(\cfrac{d}{2\cdot c}\right)^2}}{1-\left(\cfrac{d}{2\cdot c}\right)}\cdot\cfrac{1-\left(c/H\right)}{1-\left(c/H\right)\cdot\left[2-\sqrt{1-\left(\cfrac{d}{2\cdot c}\right)^2}\right]}$$
Stress concentration factor with the nominal stress based on net area
$$K_{tn}=\cfrac{σ_{max}}{σ_{nom}}$$
Maximum normal stress
$$σ_{max}=K_{tg}\cdot σ$$