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Maximum bending deflection
public
Maximum deflection of simply supported beam subject to two equal loads at equal distance from supports.
Maximum deflection
$$ \Delta_{max_{2p}} = {{( P \cdot l ^ 2 \cdot a ) \over \left({ 24 \cdot E \cdot I }\right)} \cdot \left({ 3 - 4 \cdot \left({ {a \over l} }\right) ^ 2 }\right)} \; \; , {mm} $$
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 revolutions.
Roller bearing revolutions
$$ L_{bearing_{rev_{roller}}} = {a_1 \cdot \left({ {C \over P_{dyn}} }\right) ^ \left({ {10 \over 3} }\right)} \; \; , {10 ^ 6 revolutions} $$
Equivalent static bearing load
public
Equivalent bearing load as a result of radial and axial bearing loads
Equivalent static load
$$ P_{O_{st}} = {X_O \cdot F_r + Y_O \cdot F_a} \; \; , {kN} $$
Required static load rating
public
Determine bearing size based on the static load carrying capacity.
Basic static load rating
$$ C_{O_{st}} = {s_O \cdot P_{O_{st}}} \; \; , {kN} $$
Equivalent dynamic bearing load
public
Equivalent bearing load as a result of radial and axial bearing loads
Equivalent dynamic load
$$ P_{dyn} = {X \cdot F_r + Y \cdot F_a} \; \; , {kN} $$
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
$$ L_{bearing_{hr_{ball}}} = {{10 ^ 6 \over \left({ 60 \cdot n }\right)} \cdot L_{bearing_{rev_{ball}}}} \; \; , {h} $$
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
$$ m_{gd} = {{d_r \over z_g}} \; \; $$
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