Pressure Vessel, Clutches, Bearings

$S_t=\frac{PD}{2te_j}

$S_L=\frac{PD}{4te_j}

$\frac{t}{D_i}\leq 0.05$

$\frac{t}{R_i}\leq 0.1

$S=\frac{PD}{4te_j}

$\frac{t}{D_i}> 0.05$

$\frac{t}{R_i}> 0.1

$S_a=\frac{P_ir_i^2-P_or_o^2}{r_o^2-r_i^2}

$S=\frac{P_ir_i^2-P_or_o^2}{r_o^2-r_i^2}-\frac{(P_i-P_o)r_o^2r_i^2}{r_o^2-r_i^2}(\frac{1}{r^2})

$S=\frac{P_ir_i^2-P_or_o^2}{r_o^2-r_i^2}+\frac{(P_i-P_o)r_o^2r_i^2}{r_o^2-r_i^2}(\frac{1}{r^2})

$t=\frac{D_i}{2}\sqrt{\frac{S_t+P_i}{S_t-P_i}}-1

$t=\frac{D_i}{2}\sqrt{\frac{S_t+0.4P_i}{S_t-1.3P_i}}-1$

$t=\frac{D_i}{2}\sqrt{\frac{S_t+(1-2v)P_i}{S_t-(1+v)P_i}}-1

$T=fnF_ar_m

$P=\frac{NT}{factor}

$r_m=\frac{r_o+r_i}{2}$

$r_m=\frac{D_o+D_i}{4}

$r_m=\frac{2}{3}\left[\frac{r_o^3-r_i^3}{r_o^2-r_i^2}\right]$

$r_m=\frac{1}{3}\left[\frac{D_o^3-D_i^3}{D_o^2-D_i^2}\right]

$F_a=PA

$A=πDt

$A=\frac{π}{4}(D_o^2-D_i^2)

$P_{cr}=250,150,000\left(\frac{t}{d}\right)^3

$P_{cr}=93,365\left(\frac{t}{d}\right)-2474

$T=\frac{fnF_ar_m}{sin\alpha}

$T=\frac{fnF_ar_m}{sin\alpha+fcos\alpha}

$T=\frac{fnF_ar_m}{sin\alpha-fcos\alpha}

$S_b=\frac{F}{A_b}=\frac{F}{LD}

$Q=\frac{Q_f}{A}=\frac{Ffv}{LD}=\frac{fF(πDN)}{LD}

$T_f=Ffr=Ff\frac{D}{2}

$T_f=\frac{r^3\mu N4π^2L}{C_r}$

radial clearance
$C_r=C_d/2