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Absolute pressure
public
Calculates absolute pressure for given gauge and atmospheric pressures.
$$ P_{abs} = {P_{atm} + P_{gauge}} \; \; , kPa $$
Angle
public
Convert angle from radians to degrees
Angle in degrees
$$ \alpha_{deg} = {\alpha_{rad} \cdot {180 \over \pi}} \; \; , {°} $$
Area of circle
public
Calculate area of circle with known diameter
Circle area
$$ A_{circle_{d_{mm}}} = {\pi \cdot {D_{circle_{mm}} ^ 2 \over 4}} \; \; , {mm ^ 2} $$
Atmospheric pressure
public
Pressure of the atmosphere at specific altitude.
Atmospheric pressure
$$ P_{atm} = {101.325} \; \; , kPa $$
Bearing life
public
Basic rating life of a ball bearing in revolutions.
Ball bearing revolutions
$$ L_{bearing_{rev_{ball}}} = {a_1 \cdot \left({ {C \over P_{dyn}} }\right) ^ 3} \; \; , {10 ^ 6 revolutions} $$
Bearing life
public
Basic rating life of a roller bearing in hours.
Roller bearing hours
$$ L_{bearing_{hr_{roller}}} = {{10 ^ 6 \over \left({ 60 \cdot n }\right)} \cdot L_{bearing_{rev_{ball}}}} \; \; , {h} $$
Bearing life
public
Basic rating life of a ball bearing in hours.
Ball bearing hours
$$ L_{bearing_{hr_{ball}}} = {{10 ^ 6 \over \left({ 60 \cdot n }\right)} \cdot L_{bearing_{rev_{ball}}}} \; \; , {h} $$
Bearing life
public
Basic rating life of a roller bearing in revolutions.
Roller bearing revolutions
$$ L_{bearing_{rev_{roller}}} = {a_1 \cdot \left({ {C \over P_{dyn}} }\right) ^ \left({ {10 \over 3} }\right)} \; \; , {10 ^ 6 revolutions} $$
Belt conveyor capacity
public
Theoretical mass flow rate of a belt conveyor with 5 roll idlers, based on bulk material properties .
Mass flow rate
$$ Q_{conv_{m_{th_{5}}}} = {A_{conv_{5}} \cdot v_{conv} \cdot 3600 \cdot \rho_{bm}} \; \; , {{t \over h}} $$
Belt conveyor capacity
public
Theoretical volumetric flow rate of a belt conveyor with 5 roll idlers, based on bulk material properties .
Volumetric flow rate
$$ Q_{conv_{v_{th_{5}}}} = {A_{conv_{5}} \cdot v_{conv} \cdot 3600} \; \; , {{m ^ 3 \over h}} $$
Belt conveyor capacity
public
Theoretical volumetric flow rate of a belt conveyor with 3 roll idlers, based on bulk material properties.
Volumetric flow rate
$$ Q_{conv_{v_{th_{3}}}} = {A_{conv_{3}} \cdot v_{conv} \cdot 3600} \; \; , {{m ^ 3 \over h}} $$
Belt conveyor capacity
public
Theoretical mass flow rate of a belt conveyor with 3 roll idlers, based on bulk material properties .
Mass flow rate
$$ Q_{conv_{m_{th_{3}}}} = {A_{conv_{3}} \cdot v_{conv} \cdot 3600 \cdot \rho_{bm}} \; \; , {{t \over h}} $$
Belt conveyor cross sectional area
public
Cross sectional area of belt conveyor for idlers with 5 rollers.
Cross sectional area
$$ A_{conv_{5}} = {\left({ l_{base} + l_{base} \cdot \cos( \lambda_{idler1_{rad}} ) }\right) \cdot l_{base} \cdot \sin( \lambda_{idler1_{rad}} ) + \left({ l_{base} + 2 \cdot l_{base} \cdot \cos( \lambda_{idler1_{rad}} ) + {( b_{belt} - 3 \cdot l_{base} ) \over 2} \cdot \cos( \lambda_{idler2_{rad}} ) }\right) \cdot {( b_{belt} - 3 \cdot l_{base} ) \over 2} \cdot \sin( \lambda_{idler2_{rad}} ) + \left({ 0.5 \cdot l_{base} + l_{base} \cdot \cos( \lambda_{idler1_{rad}} ) + {( b_{belt} - 3 \cdot l_{base} ) \over 2} \cdot \cos( \lambda_{idler2_{rad}} ) }\right) ^ 2 \cdot \tan( \beta_{surcharge_{rad}} )} \; \; , {m ^ 2} $$
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 width
public
Width of conveyor belt.
Belt width
$$ B_{belt} = {1.200} \; \; , {m} $$
Bending moment
public
Maximum bending moment in simply supported beam under equally spaced in the middle uniform load.
$$ M_{B_{d_{max}}} = {\left({ {W_d \over 4} }\right) \cdot \left({ 2 \cdot a + b - {b \over 2} }\right)} \; \; , {Nm} $$
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
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
Maximum bending moment in simply supported beam under offset point load.
$$ M_{B_{p_{max}}} = {{( P \cdot a \cdot b ) \over \left({ a + b }\right)}} \; \; , {Nm} $$
Bending moment
public
Bending moment due to point load.
Bending moment
$$ M_{B_p} = {F_p \cdot r_{force_p}} \; \; , {Nm} $$
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