Conveyor Belt Speed and Throughput Calculator
ANA›Life Services Authority›National Calculator Authority›Conveyor Belt Speed and Throughput Calculator
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Conveyor Belt Speed and Throughput Calculator
Calculate conveyor belt speed, volumetric throughput, and mass flow rate based on belt width, load cross-section, and operating parameters.
Belt Width (m)
Typical range: 0.3 – 2.4 m
Belt Speed (m/s)
Typical range: 0.5 – 5 m/s
Material Surcharge Angle (°)
Angle of repose of material on belt (0°–35°)
Trough Angle (°)
Idler trough angle: 0° (flat), 20°, 35°, or 45°
Bulk Density of Material (kg/m³)
e.g. sand ≈ 1500, coal ≈ 800, gravel ≈ 1700 kg/m³
Belt Conveyor Length (m)
Horizontal distance from head to tail pulley
Drive Efficiency (%)
Typical motor-drive efficiency: 85–95%
Calculate
function conCalc() { var resultDiv = document.getElementById('con-result');
var B = parseFloat(document.getElementById('con-belt-width').value); var v = parseFloat(document.getElementById('con-belt-speed').value); var delta = parseFloat(document.getElementById('con-surcharge-angle').value); var lam = parseFloat(document.getElementById('con-trough-angle').value); var rho = parseFloat(document.getElementById('con-bulk-density').value); var L = parseFloat(document.getElementById('con-belt-length').value); var eff = parseFloat(document.getElementById('con-efficiency').value);
// --- Validation --- var errors = []; if (isNaN(B) || B 35) errors.push("Surcharge Angle must be between 0° and 35°."); if (isNaN(lam) || lam 45) errors.push("Trough Angle must be between 0° and 45°."); if (isNaN(rho) || rho 100) errors.push("Drive Efficiency must be between 1% and 100%.");
if (errors.length > 0) { resultDiv.innerHTML = ''; return; }
// --- Convert angles to radians --- var deltaRad = delta * Math.PI / 180; var lamRad = lam * Math.PI / 180;
// --- Cross-sectional area of load on belt (CEMA method) --- // Effective belt width (accounting for edge clearance): b = 0.9*B - 0.05 var b = 0.9 * B - 0.05; if (b Belt width is too small for a valid load cross-section.'; return; }
// Troughed section area (trapezoidal trough formed by three equal-length idlers): // Each idler roll length = b/3 // A_trough = (b/3)^2 * sin(lam)cos(lam) + (b/3)b/3sin(lam)cos(lam) // Simplified CEMA formula: // A_trough = (b^2 / 6) * sin(lam) * cos(lam) [two side rolls contribution] // + (b/3)^2 * sin(lam) * cos(lam) [already included above] // Full CEMA three-roll equal-length idler: // A1 (troughed) = (b^2 * sin(lam) * cos(lam)) / 4 — simplified combined form // Using standard CEMA three-equal-roll formula: // l = b/3 (each roll projected length) // A_trough = l^2 * sin(lam)cos(lam) + l(b - 2lcos(lam))sin(lam) ... // Most widely cited simplified form: // A_trough = (b^2/6)sin(lam)cos(lam) * 2 = (b^2/3)sin(lam)cos(lam) // The standard CEMA equation 4.4: // A = (b^2/6)sin(2lam) + (b/3)bsin(lam)... // Clearest standard form (ISO 5048 / CEMA): // A_s = (b^2 / 4) * tan(deltaRad) [surcharge triangle on top] // A_t = (b^2 / 6) * sin(2*lamRad) [trough trapezoid] // Total A = A_t + A_s
var A_trough = (b * b / 6) * Math.sin(2 * lamRad); var A_surcharge = (b * b / 4) * Math.tan(deltaRad); var A_total = A_trough + A_surcharge; // m²
// --- Volumetric throughput --- // Q_v = A * v (m³/s) var Q_v = A_total * v; // m³/s var Q_v_hr = Q_v * 3600; // m³/h
// --- Mass throughput --- // Q_m = Q_v * rho (kg/s) var Q_m = Q_v * rho; // kg/s var Q_m_hr = Q_m * 3600 / 1000; // t/h (metric tonnes per hour)
// --- Belt travel time --- var t_travel = L / v; // seconds
// --- Approximate power requirement (CEMA simplified) --- // P = (Q_m * g * L * friction_factor) / efficiency // Using standard friction factor Cf = 0.022 (typical for well-maintained conveyor) // P_empty = Cf * L * g * (mass_belt_per_meter) — omitted (belt mass unknown) // Simplified: P_load = Q_m * g * L * Cf / eff_fraction // This calculator uses the CEMA basic power formula for loaded horizontal conveyor: // P = (Q_m [kg/s] * Cf * L [m] * g) / eta // where Cf ≈ 0.022 (dimensionless friction/resistance factor) var Cf = 0.022; var g = 9.81; var eta = eff / 100; var P_kW = (Q_m * Cf * L * g) / eta / 1000; // kW
// --- Format results --- resultDiv.innerHTML = '### Results ' + '' + 'ParameterValue' + 'Effective Load Width (b)' + b.toFixed(3) + ' m' + 'Trough Cross-Section Area (At)' + A_trough.toFixed(4) + ' m²' + 'Surcharge Cross-Section Area (As)' + A_surcharge.toFixed(4) + ' m²' + 'Total Load Cross-Section Area (A)' + A_total.toFixed(4) + ' m²' + 'Volumetric Throughput' + Q_v.toFixed(4) + ' m³/s | ' + Q_v_hr.toFixed(2) + ' m³/h' + 'Mass Throughput' + Q_m.toFixed(3) + ' kg/s | ' + Q_m_hr.toFixed(2) + ' t/h' + 'Belt Travel Time (head→tail)' + t_travel.toFixed(2) + ' s' + 'Estimated Drive Power' + P_kW.toFixed(2) + ' kW' + ''; }
#### Formulas Used
Effective load width: b = 0.9 × B − 0.05 (m) [CEMA edge clearance]
Trough cross-section area: At = (b² / 6) × sin(2λ)
Surcharge cross-section area: As = (b² / 4) × tan(δ)
Total load area: A = At + As
Volumetric throughput: Qv = A × v (m³/s)
Mass throughput: Qm = Qv × ρ (kg/s) → t/h = Qm × 3.6
Belt travel time: t = L / v (s)
Drive power (horizontal, simplified CEMA): P = (Qm × Cf × L × g) / η (W), where Cf = 0.022
Where: B = belt width (m), v = belt speed (m/s), λ = trough angle (°), δ = surcharge angle (°), ρ = bulk density (kg/m³), L = conveyor length (m), η = drive efficiency (fraction)
#### Assumptions & References
- Friction/resistance factor Cf = 0.022 is a typical value for well-maintained, horizontal conveyors; actual value depends on idler spacing, belt tension, and material.
- Formula is valid for horizontal or near-horizontal conveyors. For inclined belts, add Plift = Qm × g × H / η.
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