Calculations

This functionality is in beta stage.

Calculations

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Bin discharge time (min)

Time, in minutes (min), required to discharge bin with given volumetric capacity and volumetric flow rate.

Discharge time

$$ t_{bin_{discharge_{min}}} = {\left({ {V_{bin} \over Q_{vol}} }\right) \cdot 60} \; \; , {min} $$

Volumetric flow rate

Convert mass flow rate to volumetric flow rate.

Volumetric flow rate

$$ Q_{vol} = {{Q_{mass} \over \rho_{prod}}} \; \; , {{m ^ 3 \over h}} $$

Gearbox reduction ratio

Reduction ratio of 2 stage gearbox

Two stage gearbox ratio

$$ i_{gb2} = {i_{gr1} \cdot i_{gr2}} \; \; $$

Section modulus of RHS

Section modulus of square hollow section (RHS)

Section modulus

$$ W_{y_{RHS}} = {{\left({ B \cdot H ^ 3 - b \cdot h ^ 3 }\right) \over \left({ 6 \cdot H }\right)}} \; \; , {mm ^ 3} $$

Triangular prism volume

Volume of triangular prism.

$$ V_{prism_{tri}} = {\left({ {\left({ w_{base} \cdot h_{base} }\right) \over 2} }\right) \cdot h_{prism}} \; \; , {m ^ 3} $$

Combined volume

Combined volume of rectangular prism and triangular prism.

Combined volume

$$ V_{comb_{rec-tri}} = {V_{prism_{rec}} + V_{prism_{tri}}} \; \; , {m ^ 3} $$

Rectangular prism volume

Volume of rectangular prism.

$$ V_{prism_{rec}} = {w_{base} \cdot l_{base} \cdot h} \; \; , {m ^ 3} $$

Design bending moment in RHS

Design bending moment in RHS about the major principal axis analyzed by the elastic methos as per AS4100:2020 Section 4.4.2.2

$$ M_{x_{AS4100}} = {\phi_{ls_{AS4100}} \cdot M_{b_{AS4100}}} \; \; , {Nm} $$

Moment modification factor

Moment modification factor for segments fully or partially restrained at both ends

Moment modification factor calculated

$$ \alpha_{m_{cal_{AS4100}}} = {1.0 + 0.35 \cdot \left({ 1 - {\left({ 2 \cdot a }\right) \over l} }\right) ^ 2} \; \; $$

Factor Cm

Factor used to calculate moment application factor as per AS4100:2020 Section 4.4.2.2

$ 0.6 - 0.4 * \beta_{m_{AS4100}} $ > $ 1 $

$$ c_{m_{AS4100}} = {1} $$

$$ c_{m_{AS4100}} = {0.6 - 0.4 \cdot \beta_{m_{AS4100}}} $$

Bending moment ratio

The ratio of the smaller to the larger bending moment at the ends of the member, taken as positive when the member is bent in reverse curvature as per AS4100:2020 Section 4.4.2.2

$$ \beta_{m_{AS4100}} = {- 1} \; \; $$

Member effective length factor

Effective length factors for members for idealized conditions of end restraint

Effective length factor

$$ k_{e_{AS4100}} = {1} \; \; $$

Capacity factor

Capacity factor for strength limit states as per AS 4100:2020 Table 3.4

$$ \phi_{ls_{AS4100}} = {0.6} \; \; $$

Flange thickness of monorail beam

Determine minimum flange thickness of monorail beam as per AS 1418.18:2001 Section 5.12.3.1

Minimum flange thickness

$$ T_{f_{AS1418}} = {K_L \cdot \sqrt{ {\left({ \left({ 2400 \cdot {C_F \over B_F} + 600 }\right) \cdot N_W }\right) \over \left({ f_y - 1.1 \cdot f_b }\right)} }} \; \; , {mm} $$

Torque

$$ T_{custom} = {P_t \cdot a_t} \; \; , {Nm} $$

Combined bending

Combined maximum bending with 2 equal point loads and distributed load.

Combined bending moment

$$ M_{B_{2pd}} = {M_{B_{d_{max}}} + M_{B_2p}} \; \; , {Nm} $$

Mean wheel load

Determine mean wheel load for crane traveling wheels.

$$ R_{wheel_{mean}} = {{( R_{min} + 2 \cdot R_{max} ) \over 3}} \; \; , {N} $$

Minimum crane wheel diameter

Calculate minimum crane wheel diameter.

Minimum wheel diameter

$$ D_{wheel_{min}} = {{R_{wheel_{mean}} \over \left({ 5.6 \cdot c_1 \cdot c_2 \cdot c_3 \cdot w_{rail_{ef}} }\right)}} \; \; , {mm} $$

Minimum shaft diameter

Calculate minimum diameter of shaft subject to bending by distributed load using AS1403 formula 1 (no tension & no torsion).

$$ D_{shaft_{min_d}} = {\left({ {F_S \over F_Y} \cdot M_{B_{d_{max}}} \cdot 10 ^ 4 }\right) ^ \left({ {1 \over 3} }\right)} \; \; , {mm} $$

Minimum shaft diameter

Calculate minimum diameter of shaft subject to bending by point load using AS1403 formula 1 (no tension & no torsion).

$$ D_{shaft_{min_p}} = {\left({ {F_S \over F_Y} \cdot M_{B_p} \cdot 10 ^ 4 }\right) ^ \left({ {1 \over 3} }\right)} \; \; , {mm} $$