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Tension bar with infinite rows of semicircular edge notches

Bar with infinite rows of semicircular edge notches H P P h d a b
Bar with infinite rows of semicircular edge notches

Values for calculation

$ P $ $ \mathrm{N} $
$ H $ $ \mathrm{mm} $
$ h $ $ \mathrm{mm} $
$ d $ $ \mathrm{mm} $
$ a $ $ \mathrm{mm} $
$ b $ $ \mathrm{mm} $

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

$$K_{tg}=\cfrac{σ_{max}}{σ}$$