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Angle
public
Convert angle from radians to degrees
Angle in degrees
$$ \alpha_{deg} = {\alpha_{rad} \cdot {180 \over \pi}} \; \; , {°} $$
Reaction force
public
Reaction force at P due to point load B with hinge support in A.
Reaction in P
$$ P_{p_P} = {B \cdot {( a + b ) \over a}} \; \; , {N} $$
Reaction force
public
Reaction force A due to point load B with hinge support at P
Reaction in A
$$ R_{p_A} = {B \cdot {b \over a}} \; \; , {N} $$
Bending moment
public
Bending moment of simply supported beam subject to two equal loads at equal distance from supports.
Bending moment
$$ M_{B_2p} = {P \cdot a} \; \; , {Nm} $$
Bending moment
public
Bending moment in simply supported beam under equally spaced in the middle uniform load at point C.
$$ M_{B_{d_{C}}} = {{W_d \over 2} \cdot a} \; \; , {Nm} $$
Bending moment
public
Maximum bending moment in simply supported beam under equally spaced in the middle uniform load.
$$ M_{B_{d_{max}}} = {\left({ {W_d \over 4} }\right) \cdot \left({ 2 \cdot a + b - {b \over 2} }\right)} \; \; , {Nm} $$
Circle diameter
public
Diameter of a circle.
Circle diameter
$$ D_{circle_{mm}} = {10} \; \; , {mm} $$
Area of circle
public
Calculate area of circle with known diameter
Circle area
$$ A_{circle_{d_{mm}}} = {\pi \cdot {D_{circle_{mm}} ^ 2 \over 4}} \; \; , {mm ^ 2} $$
Shear stress
public
Calculate shear stress in a pin or axle under point load.
Shear stress
$$ \tau_{shear_{circle}} = {{F_N \over \left({ A_{circle_{d_{mm}}} \cdot n_{sp} }\right)}} \; \; , {MPa} $$
Hydraulic cylinder push force
public
Calculates pushing force developed by a hydraulic cylinder under given pressure.
Piston force
$$ F_{cylinder_{push_N}} = {P_{MPa} \cdot A_{cylinder_{push}}} \; \; , {N} $$
Hydraulic cylinder tube ID
public
Inside diameter of hydraulic cylinder tube. Push side.
Tube ID
$$ A_{cylinder_{push}} = {\pi \cdot {ID_{cylinder_{tube}} ^ 2 \over 4}} \; \; , {mm ^ 2} $$
Gear module
public
Gear module from reference diameter and number of teeth
Gear module
$$ m_{gd} = {{d_r \over z_g}} \; \; $$
Rope sheave efficiency
public
Calculates sheave efficiency in a rope reeving arrangement based on Euler-Eytelwein equation
Sheave efficiency
$$ \eta_{sheave} = {1 \over \left({ e ^ \left({ \mu \cdot \theta }\right) }\right)} \; \; $$
Rope reeving efficiency
public
Calculate efficiency of rope reeving arrangement
Reeving Arrangement Efficiency
$$ \eta_{reeving} = {\eta_{sheave} ^ \left({ n_{sheaves} }\right)} \; \; $$
Rotational to linear speed conversion
public
Convert rotating speed in rpm to linear speed in m/min.
Linear speed
$$ V_{conv_{rpm-m/min}} = {\pi \cdot 2 \cdot R \cdot rpm} \; \; , {{m \over min}} $$
Rotational to linear speed conversion
public
Convert rotating speed in rpm to linear speed in m/sec.
Linear speed
$$ V_{conv_{rpm-m/sec}} = {\pi \cdot 2 \cdot R \cdot {rpm \over 60}} \; \; , {{m \over sec}} $$
Belt conveyor cross sectional area
public
Cross sectional area of belt conveyor for idlers with 3 rollers.
Cross sectional area
$$ A_{conv_{3}} = {\left({ l_{base} + {( b_{belt} - l_{base} ) \over 2} \cdot \cos( \lambda_{idler_{rad}} ) }\right) \cdot {( b_{belt} - l_{base} ) \over 2} \cdot \sin( \lambda_{idler_{rad}} ) + \left({ {( l_{base} + \left({ b_{belt} - l_{base} }\right) \cdot \cos( \lambda_{idler_{rad}} ) ) \over 2 }}\right) ^ 2 \cdot \tan( \beta_{surcharge_{rad}} )} \; \; , {m ^ 2} $$
Belt conveyor cross sectional area
public
Cross sectional area of belt conveyor for idlers with 5 rollers.
Cross sectional area
$$ A_{conv_{5}} = {\left({ l_{base} + l_{base} \cdot \cos( \lambda_{idler1_{rad}} ) }\right) \cdot l_{base} \cdot \sin( \lambda_{idler1_{rad}} ) + \left({ l_{base} + 2 \cdot l_{base} \cdot \cos( \lambda_{idler1_{rad}} ) + {( b_{belt} - 3 \cdot l_{base} ) \over 2} \cdot \cos( \lambda_{idler2_{rad}} ) }\right) \cdot {( b_{belt} - 3 \cdot l_{base} ) \over 2} \cdot \sin( \lambda_{idler2_{rad}} ) + \left({ 0.5 \cdot l_{base} + l_{base} \cdot \cos( \lambda_{idler1_{rad}} ) + {( b_{belt} - 3 \cdot l_{base} ) \over 2} \cdot \cos( \lambda_{idler2_{rad}} ) }\right) ^ 2 \cdot \tan( \beta_{surcharge_{rad}} )} \; \; , {m ^ 2} $$
Cylinder tube ID
public
Hydraulic cylinder tube inside diameter.
Cylinder ID
$$ ID_{cylinder_{tube}} = {100} \; \; , {mm} $$
Pressure MPa
public
Pressure in MPa.
Pressure
$$ P_{MPa} = {10} \; \; , {MPa} $$
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