Menu

Thin notched plate in transverse bending, $t/h$ large

Thin notched plate in transverse bending, (and36)t(and47)h(and36) large H r h M M t
Thin notched plate in transverse bending, $t/h$ large

Values for calculation

$M$ $\mathrm{Nm}$
$r$ $\mathrm{mm}$
$t$ $\mathrm{mm}$
$H$ $\mathrm{mm}$
$h$ $\mathrm{mm}$

Calculation

Coefficient $ C_1 $

$$C_1=1.041+0.839\cdot\sqrt{t/r}+0.014\cdot t/r$$
$C_1=1.041+0.839\cdot\sqrt{t/r}+0.014\cdot t/r$
Equations in LaTeX code
C_1=1.041+0.839\cdot\sqrt{t/r}+0.014\cdot t/r

Coefficient $ C_2 $

$$C_2=-1.239-1.663\cdot\sqrt{t/r}+0.118\cdot t/r$$
$C_2=-1.239-1.663\cdot\sqrt{t/r}+0.118\cdot t/r$
Equations in LaTeX code
C_2=-1.239-1.663\cdot\sqrt{t/r}+0.118\cdot t/r

Coefficient $ C_3 $

$$C_3=3.370-0.758\cdot\sqrt{t/r}+0.434\cdot t/r$$
$C_3=3.370-0.758\cdot\sqrt{t/r}+0.434\cdot t/r$
Equations in LaTeX code
C_3=3.370-0.758\cdot\sqrt{t/r}+0.434\cdot t/r

Coefficient $ C_4 $

$$C_4=-2.162+1.582\cdot\sqrt{t/r}-0.606\cdot t/r$$
$C_4=-2.162+1.582\cdot\sqrt{t/r}-0.606\cdot t/r$
Equations in LaTeX code
C_4=-2.162+1.582\cdot\sqrt{t/r}-0.606\cdot t/r

Stress concentration factor with the nominal stress based on net area

$$K_{tn}=C_1+C_2\cdot\left(\cfrac{2\cdot t}{H}\right)+C_3\cdot\left(\cfrac{2\cdot t}{H}\right)^2+C_4\cdot\left(\cfrac{2\cdot t}{H}\right)^3$$
$K_{tn}=C_1+C_2\cdot\left(\cfrac{2\cdot t}{H}\right)+C_3\cdot\left(\cfrac{2\cdot t}{H}\right)^2+C_4\cdot\left(\cfrac{2\cdot t}{H}\right)^3$
Equations in LaTeX code
K_{tn}=C_1+C_2\cdot\left(\cfrac{2\cdot t}{H}\right)+C_3\cdot\left(\cfrac{2\cdot t}{H}\right)^2+C_4\cdot\left(\cfrac{2\cdot t}{H}\right)^3

Nominal or reference normal stress

$$σ_{nom}=\cfrac{6\cdot M\cdot 10^3}{h\cdot\left(H-2\cdot t\right)^2}$$
$σ_{nom}=\cfrac{6\cdot M\cdot 10^3}{h\cdot\left(H-2\cdot t\right)^2}$
Equations in LaTeX code
σ_{nom}=\cfrac{6\cdot M\cdot 10^3}{h\cdot\left(H-2\cdot t\right)^2}

Maximum normal stress

$$σ_{max}=K_{tn}\cdot σ_{nom}$$
$σ_{max}=K_{tn}\cdot σ_{nom}$
Equations in LaTeX code
σ_{max}=K_{tn}\cdot σ_{nom}

Normal stress

$$σ=\cfrac{6\cdot M\cdot 10^3}{H^2\cdot h}$$
$σ=\cfrac{6\cdot M\cdot 10^3}{H^2\cdot h}$
Equations in LaTeX code
σ=\cfrac{6\cdot M\cdot 10^3}{H^2\cdot h}

Stress concentration factor with the nominal stress based on gross area

$$K_{tg}=\cfrac{σ_{max}}{σ}$$
$K_{tg}=\cfrac{σ_{max}}{σ}$
Equations in LaTeX code
K_{tg}=\cfrac{σ_{max}}{σ}
On this page