Tension bar with infinite rows of semicircular edge notches
s_Stress_Concentration_Factors/Notches_and_grooves/Bar with infinite rows of semicircular edge notches.svg "Bar_with_infinite_rows_of_semicircular_edge_notches")
Values for calculation
Calculation
Coefficient $ C_1 $
$$C_1=3.1055-3.4287\cdot\left(\cfrac{a}{H}\right)+0.8522\cdot\left(\cfrac{a}{H}\right)^2$$
Coefficient $ C_2 $
$$C_2=-1.4370+10.5053\cdot\left(\cfrac{a}{H}\right)-8.7547\cdot\left(\cfrac{a}{H}\right)^2-19.6273\cdot\left(\cfrac{a}{H}\right)^3$$
Coefficient $ C_3 $
$$C_3=-1.6753-14.0851\cdot\left(\cfrac{a}{H}\right)+43.6575\cdot\left(\cfrac{a}{H}\right)^2$$
Coefficient $ C_4 $
$$C_4=1.7207+5.7974\cdot\left(\cfrac{a}{H}\right)-27.7463\cdot\left(\cfrac{a}{H}\right)^2+6.0444\cdot\left(\cfrac{a}{H}\right)^3$$
Stress concentration factor with the nominal stress based on net area
$$K_{tn}=C_1+C_2\cdot\left(\cfrac{a}{b}\right)+C_3\cdot\left(\cfrac{a}{b}\right)^2+C_4\cdot\left(\cfrac{a}{b}\right)^3$$
Nominal or reference normal stress
$$σ_{nom}=\cfrac{P}{h\cdot d}$$
Maximum normal stress
$$σ_{max}=K_{tn}\cdot σ_{nom}$$
Normal stress
$$σ=\cfrac{P}{h\cdot H}$$
Stress concentration factor with the nominal stress based on gross area
$$K_{tg}=\cfrac{σ_{max}}{σ}$$