belt conveyor calculation in mining

Calculating the parameters of a belt conveyor in mining involves several key factors to ensure efficient and safe material handling. Below is a step-by-step guide to belt conveyor calculations:

1. Basic Belt Conveyor Parameters
– Conveyor Length (L) – Horizontal and inclined distance (m or ft).
– Belt Width (W) – Determines capacity (mm or inches).
– Belt Speed (V) – Typically 1–5 m/s (200–1000 ft/min).
– Material Density (ρ) – Bulk density of the mined material (kg/m³ or lb/ft³).
– Capacity (Q) – Tons per hour (tph) or cubic meters per hour (m³/h).
– Incline Angle (θ) – Affects power requirements.
– Idler Spacing – Depends on belt width and load.

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2. Capacity Calculation
The volumetric capacity (\(Q_v\)) is given by:
\[
Q_v = A \times V \times 3600 \quad (\text{m}^3/\text{h})
\]
where:
– \(A\) = Cross-sectional area of material on the belt (\(m^2\))
– \(V\) = Belt speed (\(m/s\))

The mass capacity (\(Q_m\)) is:
\[
Q_m = Q_v \times \rho \quad (\text{tph})
\]

Cross-Sectional Area (\(A\)):
For a flat belt:
\[
A = 0.25 \times B^2 \times K
\]
For a troughed belt (typical in mining):
\[
A = K \left(0.9B – 0.05\right)^2
\]
where:
– \(B\) = Belt width (m)
– \(K\) = Trougg factor (~0.9 for 35° trough angle)

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3. Power Calculation
# (a) To Overcome Friction
\[
P_1 = C \times f \times L \times g \left[ q_b + q_m + (2q_0) \right] V / 1000 \quad (\text{kW})
\]
where:
– \(C\) = Coefficient for length correction (~1–1.5)
– \(f\) = Friction factor (~0.02–0.03 for mining belts)
– \(L\) = Conveyor length (m)
– \(g\)