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Energy
public
Calculate energy based on mass and velocity.
$$ W_{mV} = {{\left({ m \cdot V ^ 2 }\right) \over 2}} \; \; , {J} $$
Crane classification
public
Group classification for the crane as a whole
Crane classification
$$ Crane class = A8 \; \; $$
Gravity of Earth
public
Standard Earth gravity
Gravity
$$ g = {9.80665} \; \; , {{m \over s ^ 2}} $$
Capacity factor
public
Capacity factor for strength limit states as per AS 4100:2020 Table 3.4
$$ \phi_{ls_{AS4100}} = {0.6} \; \; $$
Linear speed to rpm
public
Convert linear speed in m/min to rotating speed in rpm.
Linear speed
$$ n_{travel} = {{v \over \left({ \pi \cdot D }\right)}} \; \; , {rpm} $$
Output torque Tq - without inertia
public
Calculate output torque to be used in minimum shaft diameter calculation as per AS1403:2004 Table 1, for "Inertia not significant" option.
Output torque
$$ T_q = {T_M \cdot {N_1 \over N_2} \cdot \eta_{1\over2}} \; \; $$
Linear interpolation
public
Find Y coordinate for a specified X coordinate on a linear function determined by two points.
Y coordinate
$$ Y_{LI} = {y_1 + {\left({ y_2 - y_1 }\right) \over \left({ x_2 - x_1 }\right)} \cdot \left({ X - x_1 }\right)} \; \; $$
Combined shear force per bolt in a bolt group
public
Calculates required shear or slip resistance of the critical bearing or friction grip bolt in bolt group. SABS0162.
$$ F_{R_{bg}} = {\sqrt{ F_{3_{bg}} ^ 2 + \left({ F_{1_{bg}} + F_{2_{bg}} }\right) ^ 2 }} \; \; , {kN} $$
Combined tension and shear in bearing connection
public
Check combined shear and tension in bearing type bolted connection. SABS0162.
Combined tension and shear ratio
$$ r_{tsc} = {{T_{1_{bg}} \over T_r} + {F_{R_{bg}} \over V_r}} \; \; $$
Bolt group number of columns
public
$$ n_{c_{bg}} = {2} \; \; $$
Bolt group polar moment of inertia
public
Polar moment of inertia
$$ I_{bg} = {\left({ n_{c_{bg}} \cdot {n_{r_{bg}} \over 12} }\right) \cdot \left({ s_{r_{bg}} ^ 2 \cdot \left({ n_{r_{bg}} ^ 2 - 1 }\right) + s_{c_{bg}} ^ 2 \cdot \left({ n_{c_{bg}} ^ 2 - 1 }\right) }\right)} \; \; , {mm ^ 2} $$
Horizontal force on critical bolt due to eccentricity
public
Critical bolt horizontal force
$$ F_{3_{bg}} = {P_{bg} \cdot e_{s_{bg}} \cdot \left({ n_{r_{bg}} - 1 }\right) \cdot {s_{r_{bg}} \over \left({ 2 \cdot I_{bg} }\right)}} \; \; , {kN} $$
Bolt group tension load eccentricity
public
Eccentricity of load causing tension stress from bolt group centroid.
Tesnsion load eccentricity
$$ e_{t_{bg}} = {117} \; \; , {mm} $$
Bolt group number of rows
public
$$ n_{r_{bg}} = {5} \; \; $$
Bolt group row spacing
public
$$ s_{r_{bg}} = {70} \; \; , {mm} $$
Bolt group load
public
$$ P_{bg} = {90} \; \; , {kN} $$
Bolt force without eccentricity
public
Vertical bolt force without eccentricity
$$ F_{1_{bg}} = {{P_{bg} \over \left({ n_{c_{bg}} \cdot n_{r_{bg}} }\right)}} \; \; , {kN} $$
Bolt group shear load eccentricity
public
Eccentricity of load causing shear stress from bolt group centroid.
Shear load eccentricity
$$ e_{s_{bg}} = {275} \; \; , {mm} $$
Bolt tension in offset load
public
Bolt tension
$$ T_{1_{bg}} = {{\left({ P_{bg} \cdot e_{t_{bg}} }\right) \over \left({ 2 \cdot n_{c_{bg}} \cdot s_{r_{bg}} \cdot {\left({ n_{r_{bg}} ^ 2 - 5 }\right) \over \left({ 2 \cdot \left({ n_{r_{bg}} - 1 }\right) }\right)} }\right)}} \; \; , {kN} $$
Vertical force on critical bolt due to eccentricity
public
Critical bolt vertical force
$$ F_{2_{bg}} = {P_{bg} \cdot e_{s_{bg}} \cdot {s_{c_{bg}} \over \left({ 2 \cdot I_{bg} }\right)}} \; \; , {kN} $$
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