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List of symbols

Symbol Name of the symbol Unit
$B_A$coefficient $ B_A $ $\mathrm{}$
$B_B$coefficient $ B_B $ $\mathrm{}$
$B_T$coefficient $ B_T $ $\mathrm{}$
$B_{1A-hub}$coefficient $ B_{1A-hub} $ $\mathrm{}$
$B_{1A-socket}$coefficient $ B_{1A-socket} $ $\mathrm{}$
$B_{1A}$coefficient $ B_{1A} $ $\mathrm{}$
$B_{1B-hub}$coefficient $ B_{1B-hub} $ $\mathrm{}$
$B_{1B}$coefficient $ B_{1B} $ $\mathrm{}$
$B_{1T-hub}$coefficient $ B_{1T-hub} $ $\mathrm{}$
$B_{1T}$coefficient $ B_{1T} $ $\mathrm{}$
$B_{2A-hub}$coefficient $ B_{2A-hub} $ $\mathrm{}$
$B_{2A-socket}$coefficient $ B_{2A-socket} $ $\mathrm{}$
$B_{2A}$coefficient $ B_{2A} $ $\mathrm{}$
$B_{2B-hub}$coefficient $ B_{2B-hub} $ $\mathrm{}$
$B_{2B}$coefficient $ B_{2B} $ $\mathrm{}$
$B_{2T-hub}$coefficient $ B_{2T-hub} $ $\mathrm{}$
$B_{2T}$coefficient $ B_{2T} $ $\mathrm{}$
$B_{3A-hub}$coefficient $ B_{3A-hub} $ $\mathrm{}$
$B_{3A-socket}$coefficient $ B_{3A-socket} $ $\mathrm{}$
$B_{3A}$coefficient $ B_{3A} $ $\mathrm{}$
$B_{3B-hub}$coefficient $ B_{3B-hub} $ $\mathrm{}$
$B_{3B}$coefficient $ B_{3B} $ $\mathrm{}$
$B_{3T-hub}$coefficient $ B_{3T-hub} $ $\mathrm{}$
$B_{3T}$coefficient $ B_{3T} $ $\mathrm{}$
$B_{4A}$coefficient $ B_{4A} $ $\mathrm{}$
$B_{4B-hub}$coefficient $ B_{4B-hub} $ $\mathrm{}$
$B_{4B}$coefficient $ B_{4B} $ $\mathrm{}$
$B_{4T-hub}$coefficient $ B_{4T-hub} $ $\mathrm{}$
$B_{4T}$coefficient $ B_{4T} $ $\mathrm{}$
$B_{A-clevis}$coefficient $ B_{A-clevis} $ $\mathrm{}$
$B_{A-hub}$coefficient $ B_{A-hub} $ $\mathrm{}$
$B_{A-rod}$coefficient $ B_{A-rod} $ $\mathrm{}$
$B_{A-socket}$coefficient $ B_{A-socket} $ $\mathrm{}$
$B_{B-hub}$coefficient $ B_{B-hub} $ $\mathrm{}$
$B_{T-hub}$coefficient $ B_{T-hub} $ $\mathrm{}$
$C_c$coefficient according to load$\mathrm{ }$
$C_{D_0}$dimensional characteristics of the connection on diameter $ D_0 $ $\mathrm{ }$
$C_{D}$dimensional characteristics of the connection on diameter $ D $ $\mathrm{ }$
$C_{j-trunnion-clevis}$coefficient of joint for trunnion and clevis$\mathrm{ }$
$C_{j-trunnion-rod}$coefficient of joint for trunnion and rod$\mathrm{ }$
$D$diameter of the shaft$\mathrm{mm}$
$D$diameter $ D $ $\mathrm{mm}$
$D_0$inner diameter of the hollow shaft$\mathrm{mm}$
$D_1$diameter $ D_1 $ $\mathrm{mm}$
$D_h$diameter of the hub$\mathrm{mm}$
$E$Young's modulus$\mathrm{MPa}$
$E_{hub}$Young's modulus for hub$\mathrm{MPa}$
$E_{shaft}$Young's modulus for shaft$\mathrm{MPa}$
$F$force$\mathrm{kN}$
$F_A$axial force$\mathrm{kN}$
$F_R$radial force$\mathrm{kN}$
$M_B$bending moment$\mathrm{Nm}$
$M_T$twisting moment$\mathrm{Nm}$
$P_B$bearing stress$\mathrm{MPa}$
$P_{B-cotter-socket}$bearing stress in the cotter and socket$\mathrm{MPa}$
$P_{B-cotter-spigot}$bearing stress in the cotter and spigot$\mathrm{MPa}$
$P_{B-key-hub}$bearing stress in the key and hub$\mathrm{MPa}$
$P_{B-key-shaft}$bearing stress in the key and shaft$\mathrm{MPa}$
$P_{B-pin-hub}$bearing stress in the pin and hub$\mathrm{MPa}$
$P_{B-pin-shaft}$bearing stress in the pin and shaft$\mathrm{MPa}$
$P_{B-trunnion-clevis}$bearing stress in the trunnion and clevis$\mathrm{MPa}$
$P_{B-trunnion-rod}$bearing stress in the trunnion and rod$\mathrm{MPa}$
$P_{all-B-clevis}$allowable bearing stress the clevis$\mathrm{MPa}$
$P_{all-B-cotter}$allowable bearing stress the cotter$\mathrm{MPa}$
$P_{all-B-hub}$allowable bearing stress the hub$\mathrm{MPa}$
$P_{all-B-key}$allowable bearing stress the key$\mathrm{MPa}$
$P_{all-B-pin}$allowable bearing stress the pin$\mathrm{MPa}$
$P_{all-B-rod}$allowable bearing stress the rod$\mathrm{MPa}$
$P_{all-B-shaft}$allowable bearing stress the shaft$\mathrm{MPa}$
$P_{all-B-socket}$allowable bearing stress the socket$\mathrm{MPa}$
$P_{all-B-spigot}$allowable bearing stress the spigot$\mathrm{MPa}$
$P_{all-B-trunnion}$allowable bearing stress the trunnion$\mathrm{MPa}$
$S_F$safety factor$\mathrm{ }$
$S_s$coefficient of max. stress increase$\mathrm{ }$
$S_{y-clevis}$the minimum yield strength of the clevis$\mathrm{MPa}$
$S_{y-cotter}$the minimum yield strength of the cotter$\mathrm{MPa}$
$S_{y-hub}$the minimum yield strength of the hub$\mathrm{MPa}$
$S_{y-key}$the minimum yield strength of the key$\mathrm{MPa}$
$S_{y-pin}$the minimum yield strength of the pin$\mathrm{MPa}$
$S_{y-rod}$the minimum yield strength of the rod$\mathrm{MPa}$
$S_{y-shaft}$the minimum yield strength of the shaft$\mathrm{MPa}$
$S_{y-socket}$the minimum yield strength of the socket$\mathrm{MPa}$
$S_{y-spigot}$the minimum yield strength of the spigot$\mathrm{MPa}$
$S_{y-trunnion}$the minimum yield strength of the trunnion$\mathrm{MPa}$
$T_a$ambient temperature$\mathrm{°C}$
$T_{hub}$temperature for hub$\mathrm{°C}$
$T_{shaft}$temperature for shaft$\mathrm{°C}$
$a$thickness the rod$\mathrm{mm}$
$a$length square head with load$\mathrm{mm}$
$a_1$length square head without load$\mathrm{mm}$
$a_c$assembly clearance$\mathrm{mm}$
$b$thickness the clevis$\mathrm{mm}$
$b$distance of the resultant of the pressure$\mathrm{mm}$
$b$width key$\mathrm{mm}$
$d$diameter of the pin$\mathrm{mm}$
$d$trunnion diameter$\mathrm{mm}$
$d$diameter $ d $ $\mathrm{mm}$
$d$spigot diameter$\mathrm{mm}$
$d_3$basic smaller diameter of external thread$\mathrm{mm}$
$d_8$diameter square head$\mathrm{mm}$
$d_9$free diameter$\mathrm{mm}$
$h$height key$\mathrm{mm}$
$h_1$length the rod$\mathrm{mm}$
$h_1$length the spigot$\mathrm{mm}$
$h_2$length the clevis$\mathrm{mm}$
$h_2$length the socket$\mathrm{mm}$
$h_h$the height of the key in the hub$\mathrm{mm}$
$h_s$the height of the key in the shaft$\mathrm{mm}$
$i$number of pins$\mathrm{ }$
$i$number of keys$\mathrm{ }$
$l$length pin$\mathrm{mm}$
$l$length square head in the hub$\mathrm{mm}$
$l$length key$\mathrm{mm}$
$l$bolt connection length$\mathrm{mm}$
$l$functional coupling length$\mathrm{mm}$
$l_1$width the rod$\mathrm{mm}$
$l_2$width the clevis$\mathrm{mm}$
$l_t$tolerance of key length$\mathrm{mm}$
$p_{max}$max. contact pressure$\mathrm{MPa}$
$p_{min}$min. contact pressure$\mathrm{MPa}$
$r$radius$\mathrm{mm}$
$r_1$max. rounding the key$\mathrm{mm}$
$r_2$groove rounding$\mathrm{mm}$
$s$gap$\mathrm{mm}$
$s$width square head$\mathrm{mm}$
$s$thickness the cotter$\mathrm{mm}$
$t$width between pins$\mathrm{mm}$
$t$depth in the shaft$\mathrm{mm}$
$t_1$depth in the hub$\mathrm{mm}$
$t_t$tolerance of the groove height in the shaft$\mathrm{mm}$
$t_{1t}$tolerance of the groove height in the hub$\mathrm{mm}$
$v$width the cotter$\mathrm{mm}$
$Δ_{max}$max. Interference$\mathrm{mm}$
$Δ_{min}$min. Interference$\mathrm{mm}$
$α$angle between pins$\mathrm{rad}$
$α_{hub}$coefficient of thermal expansion for hub$\mathrm{K^{-1}}$
$α_{shaft}$coefficient of thermal expansion for shaft$\mathrm{K^{-1}}$
$μ$friction coefficient$\mathrm{ }$
$ν_{hub}$Poisson's ratio for hub$\mathrm{ }$
$ν_{shaft}$Poisson's ratio for shaft$\mathrm{ }$
$σ_{A-clevis}$axial stress in the clevis$\mathrm{MPa}$
$σ_{A-hub}$axial stress in the hub$\mathrm{MPa}$
$σ_{A-rod}$axial stress in the rod$\mathrm{MPa}$
$σ_{A-shaft}$axial stress in the shaft$\mathrm{MPa}$
$σ_{A-socket}$axial stress in the socket$\mathrm{MPa}$
$σ_{A-spigot}$axial stress in the spigot$\mathrm{MPa}$
$σ_{B-cotter}$bending stress in the cotter$\mathrm{MPa}$
$σ_{B-hub}$bending stress in the hub$\mathrm{MPa}$
$σ_{B-shaft-hub}$bending stress in the weakened part of the shaft-hub$\mathrm{MPa}$
$σ_{B-shaft}$bending stress in the shaft$\mathrm{MPa}$
$σ_{B-trunnion}$bending stress in the trunnion$\mathrm{MPa}$
$σ_{R-hub-D}$radial stress in the hub on diameter $ D $ $\mathrm{MPa}$
$σ_{R-shaft-D_0}$radial stress in the shaft on diameter $ D_0 $ $\mathrm{MPa}$
$σ_{R-shaft-D}$radial stress in the shaft on diameter $ D $ $\mathrm{MPa}$
$σ_{T-hub-D}$tangential stress in the hub on diameter $ D $ $\mathrm{MPa}$
$σ_{T-shaft-D_0}$tangential stress in the shaft on diameter $ D_0 $ $\mathrm{MPa}$
$σ_{T-shaft-D}$tangential stress in the shaft on diameter $ D $ $\mathrm{MPa}$
$σ_{all-A-clevis}$allowable axial stress the clevis$\mathrm{MPa}$
$σ_{all-A-hub}$allowable axial stress the hub$\mathrm{MPa}$
$σ_{all-A-rod}$allowable axial stress the rod$\mathrm{MPa}$
$σ_{all-A-shaft}$allowable axial stress the shaft$\mathrm{MPa}$
$σ_{all-A-socket}$allowable axial stress the socket$\mathrm{MPa}$
$σ_{all-A-spigot}$allowable axial stress the spigot$\mathrm{MPa}$
$σ_{all-B-cotter}$allowable bending stress the cotter$\mathrm{MPa}$
$σ_{all-B-hub}$allowable bending stress the hub$\mathrm{MPa}$
$σ_{all-B-shaft}$allowable bending stress the shaft$\mathrm{MPa}$
$σ_{all-B-trunnion}$allowable bending stress the trunnion$\mathrm{MPa}$
$σ_{all-C-hub}$allowable combined stress the hub$\mathrm{MPa}$
$σ_{all-C-shaft}$allowable combined stress the shaft$\mathrm{MPa}$
$σ_{all-C-trunnion}$allowable combined stress the trunnion$\mathrm{MPa}$
$σ_{tresca-hub-D}$combined stress in the hub on diameter $ D $ $\mathrm{MPa}$
$σ_{tresca-hub}$combined stress in the hub$\mathrm{MPa}$
$σ_{tresca-shaft-D_0}$combined stress in the shaft on diameter $ D_0 $ $\mathrm{MPa}$
$σ_{tresca-shaft-D}$combined stress in the shaft on diameter $ D $ $\mathrm{MPa}$
$σ_{tresca-shaft}$combined stress in the shaft$\mathrm{MPa}$
$σ_{tresca-trunnion}$combined stress in the trunnion$\mathrm{MPa}$
$τ_{S-clevis}$shear stress in the clevis$\mathrm{MPa}$
$τ_{S-cotter}$shear stress in the cotter$\mathrm{MPa}$
$τ_{S-hub-D}$shear stress in the hub on diameter $ D $ $\mathrm{MPa}$
$τ_{S-hub}$shear stress in the hub$\mathrm{MPa}$
$τ_{S-key}$shear stress key$\mathrm{MPa}$
$τ_{S-pin}$shear stress in the pin$\mathrm{MPa}$
$τ_{S-rod}$shear stress in the rod$\mathrm{MPa}$
$τ_{S-shaft-D}$shear stress in the shaft on diameter $ D $ $\mathrm{MPa}$
$τ_{S-shaft-hub}$shear stress in the weakened part of the shaft-hub$\mathrm{MPa}$
$τ_{S-shaft}$shear stress in the shaft$\mathrm{MPa}$
$τ_{S-socket}$shear stress in the socket$\mathrm{MPa}$
$τ_{S-spigot}$shear stress in the spigot$\mathrm{MPa}$
$τ_{S-trunnion}$shear stress in the trunnion$\mathrm{MPa}$
$τ_{T-hub-D}$torsion stress in the hub on diameter $ D $ $\mathrm{MPa}$
$τ_{T-hub}$torsion stress in the hub$\mathrm{MPa}$
$τ_{T-shaft-D_0}$torsion stress in the shaft on diameter $ D_0 $ $\mathrm{MPa}$
$τ_{T-shaft-D}$torsion stress in the shaft on diameter $ D $ $\mathrm{MPa}$
$τ_{T-shaft}$torsion stress in the shaft$\mathrm{MPa}$
$τ_{all-S-clevis}$allowable shear stress the clevis$\mathrm{MPa}$
$τ_{all-S-cotter}$allowable shear stress the cotter$\mathrm{MPa}$
$τ_{all-S-hub}$allowable shear stress the hub$\mathrm{MPa}$
$τ_{all-S-key}$allowable shear stress the key$\mathrm{MPa}$
$τ_{all-S-pin}$allowable shear stress the pin$\mathrm{MPa}$
$τ_{all-S-rod}$allowable shear stress the rod$\mathrm{MPa}$
$τ_{all-S-shaft}$allowable shear stress the shaft$\mathrm{MPa}$
$τ_{all-S-socket}$allowable shear stress the socket$\mathrm{MPa}$
$τ_{all-S-spigot}$allowable shear stress the spigot$\mathrm{MPa}$
$τ_{all-S-trunnion}$allowable shear stress the trunnion$\mathrm{MPa}$
$ψ$angle of inclination of the tangent to the bending line$\mathrm{rad}$