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Electrical motor power
public
Electrical motor power from nominal torque and rotational speed.
Motor power
$$ P_n = {{( T_n \cdot n_n ) \over 9550}} \; \; , {kW} $$
Gear reduction ratio
public
Reduction ratio of two gear wheels using number of teeth
Fourth stage ratio
$$ i_{gr4} = {z_8 \over z_7} \; \; $$
Gearbox reduction ratio
public
Reduction ratio of 4 stage gearbox
Four stage gearbox ratio
$$ i_{gb4} = {i_{gr1} \cdot i_{gr2} \cdot i_{gr3} \cdot i_{gr4}} \; \; $$
Gear reduction ratio
public
Reduction ratio of two gear wheels using number of teeth
Second stage ratio
$$ i_{gr2} = {z_4 \over z_3} \; \; $$
Gear reduction ratio
public
Reduction ratio of two gear wheels using number of teeth
Third stage ratio
$$ i_{gr3} = {z_6 \over z_5} \; \; $$
Gearbox reduction ratio
public
Reduction ratio of 3 stage gearbox
Three stage gearbox ratio
$$ i_{gb3} = {i_{gr1} \cdot i_{gr2} \cdot i_{gr3}} \; \; $$
Travel wheel revolutions
public
Calculate travel wheel rpm from linear speed in m/min.
$$ n_{wheel} = {{v_{mm} \over \left({ \pi \cdot D_{wheel} }\right)}} \; \; , {rpm} $$
Travel drive gearbox ratio
public
Calculate travel drive reduction ratio for known traveling velocity in m/min and wheel diameter in m.
Gearbox ratio
$$ n_{gb_{req}} = {{n_{motor} \over n_{wheel}}} \; \; $$
Horizontal reaction in support
public
Horizontal reaction force in support due to point load when support is at an angle
Horizontal reaction
$$ Ah_{angled} = {P \cdot \tan( \alpha_{rad} )} \; \; , {N} $$
Bending moment
public
Maximum bending moment in simply supported beam under offset point load.
$$ M_{B_{p_{max}}} = {{( P \cdot a \cdot b ) \over \left({ a + b }\right)}} \; \; , {Nm} $$
Area of rectangular hollow section
public
Area of rectangular hollow section
Area
$$ A_{RHS} = {H \cdot B - h \cdot b} \; \; , {mm ^ 2} $$
Shear stress
public
Calculate shear stress in a rectangular hollow section under point load.
Shear stress
$$ \tau_{shear_{RHS}} = {{F_N \over \left({ A_{RHS} \cdot n_{sp} }\right)}} \; \; , {MPa} $$
Bending moment
public
Bending moment due to point load.
Bending moment
$$ M_{B_p} = {F_p \cdot r_{force_p}} \; \; , {Nm} $$
Bending stress
public
Calculate normal stress in a custom rectangular hollow section due to bending moment.
Bending stress
$$ \sigma_{bend_{RHS}} = {10 ^ 3 \cdot {M_{B_p} \over W_{y_{RHS}}}} \; \; , {MPa} $$
Torsional modulus constant
public
Torsional modulus constant for square and rectangular hollow sections
Torsional modulus constant
$$ C_{RHS} = {{( t_{RHS} ^ 3 \cdot {h_{RHS} \over 3} + 2 \cdot k_{RHS} \cdot A_{h_{RHS}} ) \over \left({ t_{RHS} + \left({ {k_{RHS} \over t_{RHS}} }\right) }\right)}} \; \; , {mm ^ 3} $$
Torsional constant
public
Torsional constant for square and rectangular hollow sections
Torsional constant
$$ J_{RHS} = {t_{RHS} ^ 3 \cdot {h_{RHS} \over 3} + 2 \cdot k_{RHS} \cdot A_{h_{RHS}}} \; \; , {mm ^ 4} $$
Web thickness of single monorail beam
public
Determine minimum web thickness of single monorail beam as per AS 1418.18:2001 Section 5.12.3.2
Minimum web thickness
$$ T_{w_{AS1418}} = {\sqrt{ \left({ 240 \cdot {C_F \over B_F} + 60 }\right) \cdot {D \over \left({ 2 \cdot B_F }\right)} \cdot {N_W \over f_y }}} \; \; , {mm} $$
Mid-contour length
public
Length of mid-contour used in calculating torsion constant for hollow sections
Length
$$ h_{RHS} = {2 \cdot \left({ \left({ b_{RHS} - t_{RHS} }\right) + \left({ d_{RHS} - t_{RHS} }\right) }\right) - \left({ R_{o_{RHS}} + R_{i_{RHS}} }\right) \cdot \left({ 4 - \pi }\right)} \; \; , {mm} $$
Integration constant
public
Integration constant used to calculate torsional constant for square or rectangular hollow section
Integration constant
$$ k_{RHS} = {{( 2 \cdot A_{h_{RHS}} \cdot t_{RHS} ) \over h_{RHS}}} \; \; $$
Mid-contour area
public
Area enclosed by mid-contour used in calculating properties of square or rectangular hollow section
Area
$$ A_{h_{RHS}} = {\left({ b_{RHS} - t_{RHS} }\right) \cdot \left({ d_{RHS} - t_{RHS} }\right) - \left({ {( R_{o_{RHS}} + R_{i_{RHS}} ) \over 2 }}\right) ^ 2 \cdot \left({ 4 - \pi }\right)} \; \; , {mm ^ 2} $$
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