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Calculation of closing safety Butterfly valve

Hydraulic cylinder r a b α φ a b α T L S S γ φ r L HC
Hydraulic cylinder
Centre of gravity of the weight L c α c
Centre of gravity of the weight

Values for calculation

$a$ $\mathrm{mm}$
$b$ $\mathrm{mm}$
$r$ $\mathrm{mm}$
$φ$ $\mathrm{°}$
$W_W$ $\mathrm{kg}$
$W_D$ $\mathrm{kg}$
$W_L$ $\mathrm{kg}$
$L_c$ $\mathrm{mm}$
$α_c$ $\mathrm{°}$
$P_{L-HC}$ $\mathrm{MPa}$
$D_{HC}$ $\mathrm{mm}$
$μ_B$
$r_T$ $\mathrm{mm}$
$f_B$
$e_S$ $\mathrm{mm}$
$P_S$ $\mathrm{MPa}$
$μ_S$

Calculation

Distance between the axis of rotation of the valve and the axis of the hydraulic cylinder

$$L=\sqrt{a^2+b^2}$$
$L=\sqrt{a^2+b^2}$
Equations in LaTeX code
L=\sqrt{a^2+b^2}

Friction torque in main sealing

$$M_S=D_s^2\cdot e_S\cdot μ_S\cdot P_S\cdot 10^{-6}$$
$M_S=D_s^2\cdot e_S\cdot μ_S\cdot P_S\cdot 10^{-6}$
Equations in LaTeX code
M_S=D_s^2\cdot e_S\cdot μ_S\cdot P_S\cdot 10^{-6}
Angle from open position
Forces on disc
Hydraulic torque
$α$ $F$ $M_H$
$\mathrm{°}$ $\mathrm{kN}$ $\mathrm{kNm}$
No data
Angle from open position Forces on disc Hydraulic torque
$α$ $F$ $M_H$
$\mathrm{°}$ $\mathrm{kN}$ $\mathrm{kNm}$
No data
Unrounded data
Angle from open position;Forces on disc;Hydraulic torque;
α;F;M_H;
°;kN;kNm;

$F \mathrm{[kN]}$
No data
$α\mathrm{[°]}$
Forces on disc

Angle from open position Forces on disc
$α$ $F$
$\mathrm{°}$ $\mathrm{kN}$
No data
Unrounded data
Angle from open position; Forces on disc;
α; F;
°; kN;
$$F=\sqrt{F_x^2+F_y^2}$$
$F=\sqrt{F_x^2+F_y^2}$
Equations in LaTeX code
F=\sqrt{F_x^2+F_y^2}

$M_H \mathrm{[kNm]}$
No data
$α\mathrm{[°]}$
Hydraulic torque

Angle from open position Hydraulic torque
$α$ $M_H$
$\mathrm{°}$ $\mathrm{kNm}$
No data
Unrounded data
Angle from open position; Hydraulic torque;
α; M_H;
°; kNm;
$$M_H=M+M_{LD}+M_e$$
$M_H=M+M_{LD}+M_e$
Equations in LaTeX code
M_H=M+M_{LD}+M_e
Angle from open position
The distance between the axis of the hydraulic cylinder and the axis of the eye of the hydraulic cylinder
Height $ T $
The angle between the axis of the hydraulic cylinder and the imaginary line between the axis of the closure and the pivot axis of the hydraulic cylinder
Distance between the axis of hydraulic cylinder and the axis of valve rotation
$α$ $S_S$ $T$ $γ$ $L_{HC}$
$\mathrm{°}$ $\mathrm{mm}$ $\mathrm{mm}$ $\mathrm{°}$ $\mathrm{mm}$
No data
Angle from open position The distance between the axis of the hydraulic cylinder and the axis of the eye of the hydraulic cylinder Height $ T $ The angle between the axis of the hydraulic cylinder and the imaginary line between the axis of the closure and the pivot axis of the hydraulic cylinder Distance between the axis of hydraulic cylinder and the axis of valve rotation
$α$ $S_S$ $T$ $γ$ $L_{HC}$
$\mathrm{°}$ $\mathrm{mm}$ $\mathrm{mm}$ $\mathrm{°}$ $\mathrm{mm}$
No data
Unrounded data
Angle from open position;The distance between the axis of the hydraulic cylinder and the axis of the eye of the hydraulic cylinder;Height $ T $ ;The angle between the axis of the hydraulic cylinder and the imaginary line between the axis of the closure and the pivot axis of the hydraulic cylinder;Distance between the axis of hydraulic cylinder and the axis of valve rotation;
α;S_S;T;γ;L_{HC};
°;mm;mm;°;mm;

$S_S \mathrm{[mm]}$
No data
$α\mathrm{[°]}$
The distance between the axis of the hydraulic cylinder and the axis of the eye of the hydraulic cylinder

Angle from open position The distance between the axis of the hydraulic cylinder and the axis of the eye of the hydraulic cylinder
$α$ $S_S$
$\mathrm{°}$ $\mathrm{mm}$
No data
Unrounded data
Angle from open position; The distance between the axis of the hydraulic cylinder and the axis of the eye of the hydraulic cylinder;
α; S_S;
°; mm;
$$S_S=\sqrt{\left(b-r\cdot\sin{\left(φ-α\right)}\right)^2+\left(a-r\cdot\cos{\left(φ-α\right)}\right)^2}-\sqrt{\left(b-r\cdot\sin{\left(φ-90°\right)}\right)^2+\left(a-r\cdot\cos{\left(φ-90°\right)}\right)^2}+\sqrt{\left(b-r\cdot\sin{\left(φ-90°\right)}\right)^2+\left(a-r\cdot\cos{\left(φ-90°\right)}\right)^2}$$
$S_S=\sqrt{\left(b-r\cdot\sin{\left(φ-α\right)}\right)^2+\left(a-r\cdot\cos{\left(φ-α\right)}\right)^2}-\sqrt{\left(b-r\cdot\sin{\left(φ-90°\right)}\right)^2+\left(a-r\cdot\cos{\left(φ-90°\right)}\right)^2}+\sqrt{\left(b-r\cdot\sin{\left(φ-90°\right)}\right)^2+\left(a-r\cdot\cos{\left(φ-90°\right)}\right)^2}$
Equations in LaTeX code
S_S=\sqrt{\left(b-r\cdot\sin{\left(φ-α\right)}\right)^2+\left(a-r\cdot\cos{\left(φ-α\right)}\right)^2}-\sqrt{\left(b-r\cdot\sin{\left(φ-90°\right)}\right)^2+\left(a-r\cdot\cos{\left(φ-90°\right)}\right)^2}+\sqrt{\left(b-r\cdot\sin{\left(φ-90°\right)}\right)^2+\left(a-r\cdot\cos{\left(φ-90°\right)}\right)^2}

$T \mathrm{[mm]}$
No data
$α\mathrm{[°]}$
Height $ T $

Angle from open position Height $ T $
$α$ $T$
$\mathrm{°}$ $\mathrm{mm}$
No data
Unrounded data
Angle from open position; Height $ T $ ;
α; T;
°; mm;
$$T=\sqrt{S_S^2-\left(\cfrac{L^2-r^2+S_S^2}{2\cdot L}\right)^2}$$
$T=\sqrt{S_S^2-\left(\cfrac{L^2-r^2+S_S^2}{2\cdot L}\right)^2}$
Equations in LaTeX code
T=\sqrt{S_S^2-\left(\cfrac{L^2-r^2+S_S^2}{2\cdot L}\right)^2}

$γ \mathrm{[°]}$
No data
$α\mathrm{[°]}$
The angle between the axis of the hydraulic cylinder and the imaginary line between the axis of the closure and the pivot axis of the hydraulic cylinder

Angle from open position The angle between the axis of the hydraulic cylinder and the imaginary line between the axis of the closure and the pivot axis of the hydraulic cylinder
$α$ $γ$
$\mathrm{°}$ $\mathrm{°}$
No data
Unrounded data
Angle from open position; The angle between the axis of the hydraulic cylinder and the imaginary line between the axis of the closure and the pivot axis of the hydraulic cylinder;
α; γ;
°; °;
$$γ=\sin^{-1}{\cfrac{T}{S_S}}\cdot\cfrac{180}{π}$$
$γ=\sin^{-1}{\cfrac{T}{S_S}}\cdot\cfrac{180}{π}$
Equations in LaTeX code
γ=\sin^{-1}{\cfrac{T}{S_S}}\cdot\cfrac{180}{π}

$L_{HC} \mathrm{[mm]}$
No data
$α\mathrm{[°]}$
Distance between the axis of hydraulic cylinder and the axis of valve rotation

Angle from open position Distance between the axis of hydraulic cylinder and the axis of valve rotation
$α$ $L_{HC}$
$\mathrm{°}$ $\mathrm{mm}$
No data
Unrounded data
Angle from open position; Distance between the axis of hydraulic cylinder and the axis of valve rotation;
α; L_{HC};
°; mm;
$$L_{HC}=L\cdot\sin{γ}$$
$L_{HC}=L\cdot\sin{γ}$
Equations in LaTeX code
L_{HC}=L\cdot\sin{γ}
Angle from open position
Static torque
Friction torque from the hydraulic cylinder
Force to the hydraulic cylinder during the closing at flow rate without frictional resistances
Force to the hydraulic cylinder during the closing without flow rate without frictional resistances
Pressure of oil under the hydraulic cylinder piston during the closing at flow rate without frictional resistances
Pressure of oil under the hydraulic cylinder piston during the closing without flow rate without frictional resistances
$α$ $M_W$ $M_{F-HC}$ $F_{HC-flow}$ $F_{HC}$ $P_{HC-flow}$ $P_{HC}$
$\mathrm{°}$ $\mathrm{kNm}$ $\mathrm{kNm}$ $\mathrm{kN}$ $\mathrm{kN}$ $\mathrm{MPa}$ $\mathrm{MPa}$
No data
Angle from open position Static torque Friction torque from the hydraulic cylinder Force to the hydraulic cylinder during the closing at flow rate without frictional resistances Force to the hydraulic cylinder during the closing without flow rate without frictional resistances Pressure of oil under the hydraulic cylinder piston during the closing at flow rate without frictional resistances Pressure of oil under the hydraulic cylinder piston during the closing without flow rate without frictional resistances
$α$ $M_W$ $M_{F-HC}$ $F_{HC-flow}$ $F_{HC}$ $P_{HC-flow}$ $P_{HC}$
$\mathrm{°}$ $\mathrm{kNm}$ $\mathrm{kNm}$ $\mathrm{kN}$ $\mathrm{kN}$ $\mathrm{MPa}$ $\mathrm{MPa}$
No data
Unrounded data
Angle from open position;Static torque;Friction torque from the hydraulic cylinder;Force to the hydraulic cylinder during the closing at flow rate without frictional resistances;Force to the hydraulic cylinder during the closing without flow rate without frictional resistances;Pressure of oil under the hydraulic cylinder piston during the closing at flow rate without frictional resistances;Pressure of oil under the hydraulic cylinder piston during the closing without flow rate without frictional resistances;
α;M_W;M_{F-HC};F_{HC-flow};F_{HC};P_{HC-flow};P_{HC};
°;kNm;kNm;kN;kN;MPa;MPa;

$M_W \mathrm{[kNm]}$
No data
$α\mathrm{[°]}$
Static torque

Angle from open position Static torque
$α$ $M_W$
$\mathrm{°}$ $\mathrm{kNm}$
No data
Unrounded data
Angle from open position; Static torque;
α; M_W;
°; kNm;
$$M_W=\left(W_W+W_D+W_L\right)\cdot g\cdot L_c\cdot\sin{\left(α_c-α\right)}\cdot 10^{-6}$$
$M_W=\left(W_W+W_D+W_L\right)\cdot g\cdot L_c\cdot\sin{\left(α_c-α\right)}\cdot 10^{-6}$
Equations in LaTeX code
M_W=\left(W_W+W_D+W_L\right)\cdot g\cdot L_c\cdot\sin{\left(α_c-α\right)}\cdot 10^{-6}

$M_{F-HC} \mathrm{[kNm]}$
No data
$α\mathrm{[°]}$
Friction torque from the hydraulic cylinder

Angle from open position Friction torque from the hydraulic cylinder
$α$ $M_{F-HC}$
$\mathrm{°}$ $\mathrm{kNm}$
No data
Unrounded data
Angle from open position; Friction torque from the hydraulic cylinder;
α; M_{F-HC};
°; kNm;
$$M_{F-HC}=P_{L-HC}\cdot\cfrac{π\cdot D_{HC}^2}{4}\cdot L_{HC}\cdot 10^{-6}$$
$M_{F-HC}=P_{L-HC}\cdot\cfrac{π\cdot D_{HC}^2}{4}\cdot L_{HC}\cdot 10^{-6}$
Equations in LaTeX code
M_{F-HC}=P_{L-HC}\cdot\cfrac{π\cdot D_{HC}^2}{4}\cdot L_{HC}\cdot 10^{-6}

$F_{HC-flow} \mathrm{[kN]}$
No data
$α\mathrm{[°]}$
Force to the hydraulic cylinder during the closing at flow rate without frictional resistances

Angle from open position Force to the hydraulic cylinder during the closing at flow rate without frictional resistances
$α$ $F_{HC-flow}$
$\mathrm{°}$ $\mathrm{kN}$
No data
Unrounded data
Angle from open position; Force to the hydraulic cylinder during the closing at flow rate without frictional resistances;
α; F_{HC-flow};
°; kN;
$$F_{HC-flow}=\cfrac{M_H+M_W}{L_{HC}}\cdot 10^3$$
$F_{HC-flow}=\cfrac{M_H+M_W}{L_{HC}}\cdot 10^3$
Equations in LaTeX code
F_{HC-flow}=\cfrac{M_H+M_W}{L_{HC}}\cdot 10^3

$F_{HC} \mathrm{[kN]}$
No data
$α\mathrm{[°]}$
Force to the hydraulic cylinder during the closing without flow rate without frictional resistances

Angle from open position Force to the hydraulic cylinder during the closing without flow rate without frictional resistances
$α$ $F_{HC}$
$\mathrm{°}$ $\mathrm{kN}$
No data
Unrounded data
Angle from open position; Force to the hydraulic cylinder during the closing without flow rate without frictional resistances;
α; F_{HC};
°; kN;
$$F_{HC}=\cfrac{M_W}{L_{HC}}\cdot 10^3$$
$F_{HC}=\cfrac{M_W}{L_{HC}}\cdot 10^3$
Equations in LaTeX code
F_{HC}=\cfrac{M_W}{L_{HC}}\cdot 10^3

$P_{HC-flow} \mathrm{[MPa]}$
No data
$α\mathrm{[°]}$
Pressure of oil under the hydraulic cylinder piston during the closing at flow rate without frictional resistances

Angle from open position Pressure of oil under the hydraulic cylinder piston during the closing at flow rate without frictional resistances
$α$ $P_{HC-flow}$
$\mathrm{°}$ $\mathrm{MPa}$
No data
Unrounded data
Angle from open position; Pressure of oil under the hydraulic cylinder piston during the closing at flow rate without frictional resistances;
α; P_{HC-flow};
°; MPa;
$$P_{HC-flow}=\cfrac{4\cdot F_{HC-flow}\cdot 10^3}{π\cdot D_{HC}^2}$$
$P_{HC-flow}=\cfrac{4\cdot F_{HC-flow}\cdot 10^3}{π\cdot D_{HC}^2}$
Equations in LaTeX code
P_{HC-flow}=\cfrac{4\cdot F_{HC-flow}\cdot 10^3}{π\cdot D_{HC}^2}

$P_{HC} \mathrm{[MPa]}$
No data
$α\mathrm{[°]}$
Pressure of oil under the hydraulic cylinder piston during the closing without flow rate without frictional resistances

Angle from open position Pressure of oil under the hydraulic cylinder piston during the closing without flow rate without frictional resistances
$α$ $P_{HC}$
$\mathrm{°}$ $\mathrm{MPa}$
No data
Unrounded data
Angle from open position; Pressure of oil under the hydraulic cylinder piston during the closing without flow rate without frictional resistances;
α; P_{HC};
°; MPa;
$$P_{HC}=\cfrac{4\cdot F_{HC}\cdot 10^3}{π\cdot D_{HC}^2}$$
$P_{HC}=\cfrac{4\cdot F_{HC}\cdot 10^3}{π\cdot D_{HC}^2}$
Equations in LaTeX code
P_{HC}=\cfrac{4\cdot F_{HC}\cdot 10^3}{π\cdot D_{HC}^2}
Angle from open position
Friction torque bearing during the closing at flow rate
Friction torque bearing during the closing without flow rate
Force to the hydraulic cylinder during the closing at flow rate with frictional resistances
Force to the hydraulic cylinder during the closing without flow rate with frictional resistances
$α$ $M_{B-flow}$ $M_B$ $F_{HC-flow-with-frictional}$ $F_{HC-with-frictional}$
$\mathrm{°}$ $\mathrm{kNm}$ $\mathrm{kNm}$ $\mathrm{kN}$ $\mathrm{kN}$
No data
Angle from open position Friction torque bearing during the closing at flow rate Friction torque bearing during the closing without flow rate Force to the hydraulic cylinder during the closing at flow rate with frictional resistances Force to the hydraulic cylinder during the closing without flow rate with frictional resistances
$α$ $M_{B-flow}$ $M_B$ $F_{HC-flow-with-frictional}$ $F_{HC-with-frictional}$
$\mathrm{°}$ $\mathrm{kNm}$ $\mathrm{kNm}$ $\mathrm{kN}$ $\mathrm{kN}$
No data
Unrounded data
Angle from open position;Friction torque bearing during the closing at flow rate;Friction torque bearing during the closing without flow rate;Force to the hydraulic cylinder during the closing at flow rate with frictional resistances;Force to the hydraulic cylinder during the closing without flow rate with frictional resistances;
α;M_{B-flow};M_B;F_{HC-flow-with-frictional};F_{HC-with-frictional};
°;kNm;kNm;kN;kN;

$M_{B-flow} \mathrm{[kNm]}$
No data
$α\mathrm{[°]}$
Friction torque bearing during the closing at flow rate

Angle from open position Friction torque bearing during the closing at flow rate
$α$ $M_{B-flow}$
$\mathrm{°}$ $\mathrm{kNm}$
No data
Unrounded data
Angle from open position; Friction torque bearing during the closing at flow rate;
α; M_{B-flow};
°; kNm;
$$M_{B-flow}=\left(F+F_{HC-flow}+\left(W_W+W_D+W_L\right)\cdot g\cdot 10^{-3}\right)\cdot μ_B\cdot f_B\cdot r_T\cdot 10^{-3}$$
$M_{B-flow}=\left(F+F_{HC-flow}+\left(W_W+W_D+W_L\right)\cdot g\cdot 10^{-3}\right)\cdot μ_B\cdot f_B\cdot r_T\cdot 10^{-3}$
Equations in LaTeX code
M_{B-flow}=\left(F+F_{HC-flow}+\left(W_W+W_D+W_L\right)\cdot g\cdot 10^{-3}\right)\cdot μ_B\cdot f_B\cdot r_T\cdot 10^{-3}

$M_B \mathrm{[kNm]}$
No data
$α\mathrm{[°]}$
Friction torque bearing during the closing without flow rate

Angle from open position Friction torque bearing during the closing without flow rate
$α$ $M_B$
$\mathrm{°}$ $\mathrm{kNm}$
No data
Unrounded data
Angle from open position; Friction torque bearing during the closing without flow rate;
α; M_B;
°; kNm;
$$M_B=\left(F_{HC}+\left(W_W+W_D+W_L\right)\cdot g\cdot 10^{-3}\right)\cdot μ_B\cdot f_B\cdot r_T\cdot 10^{-3}$$
$M_B=\left(F_{HC}+\left(W_W+W_D+W_L\right)\cdot g\cdot 10^{-3}\right)\cdot μ_B\cdot f_B\cdot r_T\cdot 10^{-3}$
Equations in LaTeX code
M_B=\left(F_{HC}+\left(W_W+W_D+W_L\right)\cdot g\cdot 10^{-3}\right)\cdot μ_B\cdot f_B\cdot r_T\cdot 10^{-3}

$F_{HC-flow-with-frictional} \mathrm{[kN]}$
No data
$α\mathrm{[°]}$
Force to the hydraulic cylinder during the closing at flow rate with frictional resistances

Angle from open position Force to the hydraulic cylinder during the closing at flow rate with frictional resistances
$α$ $F_{HC-flow-with-frictional}$
$\mathrm{°}$ $\mathrm{kN}$
No data
Unrounded data
Angle from open position; Force to the hydraulic cylinder during the closing at flow rate with frictional resistances;
α; F_{HC-flow-with-frictional};
°; kN;
$\text{if }\ α= 90$
$\text{if }\ α= 90$
Equations in LaTeX code
\text{if }\ α= 90
$$F_{HC-flow-with-frictional}=\cfrac{M_H+M_W-M_{B-flow}-M_{F-HC}-M_S}{L_{HC}}\cdot 10^3$$
$F_{HC-flow-with-frictional}=\cfrac{M_H+M_W-M_{B-flow}-M_{F-HC}-M_S}{L_{HC}}\cdot 10^3$
Equations in LaTeX code
F_{HC-flow-with-frictional}=\cfrac{M_H+M_W-M_{B-flow}-M_{F-HC}-M_S}{L_{HC}}\cdot 10^3
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$F_{HC-flow-with-frictional}=\cfrac{M_H+M_W-M_{B-flow}-M_{F-HC}}{L_{HC}}\cdot 10^3$$
$F_{HC-flow-with-frictional}=\cfrac{M_H+M_W-M_{B-flow}-M_{F-HC}}{L_{HC}}\cdot 10^3$
Equations in LaTeX code
F_{HC-flow-with-frictional}=\cfrac{M_H+M_W-M_{B-flow}-M_{F-HC}}{L_{HC}}\cdot 10^3

$F_{HC-with-frictional} \mathrm{[kN]}$
No data
$α\mathrm{[°]}$
Force to the hydraulic cylinder during the closing without flow rate with frictional resistances

Angle from open position Force to the hydraulic cylinder during the closing without flow rate with frictional resistances
$α$ $F_{HC-with-frictional}$
$\mathrm{°}$ $\mathrm{kN}$
No data
Unrounded data
Angle from open position; Force to the hydraulic cylinder during the closing without flow rate with frictional resistances;
α; F_{HC-with-frictional};
°; kN;
$\text{if }\ α= 90$
$\text{if }\ α= 90$
Equations in LaTeX code
\text{if }\ α= 90
$$F_{HC-with-frictional}=\cfrac{M_W-M_B-M_{F-HC}-M_S}{L_{HC}}\cdot 10^3$$
$F_{HC-with-frictional}=\cfrac{M_W-M_B-M_{F-HC}-M_S}{L_{HC}}\cdot 10^3$
Equations in LaTeX code
F_{HC-with-frictional}=\cfrac{M_W-M_B-M_{F-HC}-M_S}{L_{HC}}\cdot 10^3
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$F_{HC-with-frictional}=\cfrac{M_W-M_B-M_{F-HC}}{L_{HC}}\cdot 10^3$$
$F_{HC-with-frictional}=\cfrac{M_W-M_B-M_{F-HC}}{L_{HC}}\cdot 10^3$
Equations in LaTeX code
F_{HC-with-frictional}=\cfrac{M_W-M_B-M_{F-HC}}{L_{HC}}\cdot 10^3
Angle from open position
Pressure of oil under the hydraulic cylinder piston during the closing at flow rate with frictional resistances
Pressure of oil under the hydraulic cylinder piston during the closing without flow rate with frictional resistances
Safety factor during the closing at flow rate
Safety factor during the closing without flow rate
$α$ $P_{HC-flow-with-frictional}$ $P_{HC-with-frictional}$ $S_{f-flow}$ $S_f$
$\mathrm{°}$ $\mathrm{MPa}$ $\mathrm{MPa}$ $\mathrm{ }$ $\mathrm{ }$
No data
Angle from open position Pressure of oil under the hydraulic cylinder piston during the closing at flow rate with frictional resistances Pressure of oil under the hydraulic cylinder piston during the closing without flow rate with frictional resistances Safety factor during the closing at flow rate Safety factor during the closing without flow rate
$α$ $P_{HC-flow-with-frictional}$ $P_{HC-with-frictional}$ $S_{f-flow}$ $S_f$
$\mathrm{°}$ $\mathrm{MPa}$ $\mathrm{MPa}$ $\mathrm{ }$ $\mathrm{ }$
No data
Unrounded data
Angle from open position;Pressure of oil under the hydraulic cylinder piston during the closing at flow rate with frictional resistances;Pressure of oil under the hydraulic cylinder piston during the closing without flow rate with frictional resistances;Safety factor during the closing at flow rate;Safety factor during the closing without flow rate;
α;P_{HC-flow-with-frictional};P_{HC-with-frictional};S_{f-flow};S_f;
°;MPa;MPa; ; ;

$P_{HC-flow-with-frictional} \mathrm{[MPa]}$
No data
$α\mathrm{[°]}$
Pressure of oil under the hydraulic cylinder piston during the closing at flow rate with frictional resistances

Angle from open position Pressure of oil under the hydraulic cylinder piston during the closing at flow rate with frictional resistances
$α$ $P_{HC-flow-with-frictional}$
$\mathrm{°}$ $\mathrm{MPa}$
No data
Unrounded data
Angle from open position; Pressure of oil under the hydraulic cylinder piston during the closing at flow rate with frictional resistances;
α; P_{HC-flow-with-frictional};
°; MPa;
$$P_{HC-flow-with-frictional}=\cfrac{4\cdot F_{HC-flow-with-frictional}\cdot 10^3}{π\cdot D_{HC}^2}$$
$P_{HC-flow-with-frictional}=\cfrac{4\cdot F_{HC-flow-with-frictional}\cdot 10^3}{π\cdot D_{HC}^2}$
Equations in LaTeX code
P_{HC-flow-with-frictional}=\cfrac{4\cdot F_{HC-flow-with-frictional}\cdot 10^3}{π\cdot D_{HC}^2}

$P_{HC-with-frictional} \mathrm{[MPa]}$
No data
$α\mathrm{[°]}$
Pressure of oil under the hydraulic cylinder piston during the closing without flow rate with frictional resistances

Angle from open position Pressure of oil under the hydraulic cylinder piston during the closing without flow rate with frictional resistances
$α$ $P_{HC-with-frictional}$
$\mathrm{°}$ $\mathrm{MPa}$
No data
Unrounded data
Angle from open position; Pressure of oil under the hydraulic cylinder piston during the closing without flow rate with frictional resistances;
α; P_{HC-with-frictional};
°; MPa;
$$P_{HC-with-frictional}=\cfrac{4\cdot F_{HC-with-frictional}\cdot 10^3}{π\cdot D_{HC}^2}$$
$P_{HC-with-frictional}=\cfrac{4\cdot F_{HC-with-frictional}\cdot 10^3}{π\cdot D_{HC}^2}$
Equations in LaTeX code
P_{HC-with-frictional}=\cfrac{4\cdot F_{HC-with-frictional}\cdot 10^3}{π\cdot D_{HC}^2}

$S_{f-flow} \mathrm{[-]}$
No data
$α\mathrm{[°]}$
Safety factor during the closing at flow rate

Angle from open position Safety factor during the closing at flow rate
$α$ $S_{f-flow}$
$\mathrm{°}$ $\mathrm{ }$
No data
Unrounded data
Angle from open position; Safety factor during the closing at flow rate;
α; S_{f-flow};
°; ;
$\text{if }\ α= 90$
$\text{if }\ α= 90$
Equations in LaTeX code
\text{if }\ α= 90
$$S_{f-flow}=\cfrac{M_H+M_W}{M_{F-HC}+M_{B-flow}+M_S}$$
$S_{f-flow}=\cfrac{M_H+M_W}{M_{F-HC}+M_{B-flow}+M_S}$
Equations in LaTeX code
S_{f-flow}=\cfrac{M_H+M_W}{M_{F-HC}+M_{B-flow}+M_S}
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$S_{f-flow}=\cfrac{M_H+M_W}{M_{F-HC}+M_{B-flow}}$$
$S_{f-flow}=\cfrac{M_H+M_W}{M_{F-HC}+M_{B-flow}}$
Equations in LaTeX code
S_{f-flow}=\cfrac{M_H+M_W}{M_{F-HC}+M_{B-flow}}

$S_f \mathrm{[-]}$
No data
$α\mathrm{[°]}$
Safety factor during the closing without flow rate

Angle from open position Safety factor during the closing without flow rate
$α$ $S_f$
$\mathrm{°}$ $\mathrm{ }$
No data
Unrounded data
Angle from open position; Safety factor during the closing without flow rate;
α; S_f;
°; ;
$\text{if }\ α= 90$
$\text{if }\ α= 90$
Equations in LaTeX code
\text{if }\ α= 90
$$S_f=\cfrac{M_W}{M_{F-HC}+M_B+M_S}$$
$S_f=\cfrac{M_W}{M_{F-HC}+M_B+M_S}$
Equations in LaTeX code
S_f=\cfrac{M_W}{M_{F-HC}+M_B+M_S}
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$S_f=\cfrac{M_W}{M_{F-HC}+M_B}$$
$S_f=\cfrac{M_W}{M_{F-HC}+M_B}$
Equations in LaTeX code
S_f=\cfrac{M_W}{M_{F-HC}+M_B}
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