Rear End 4 Link Spring Rate Calculator

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Rear End 4-Link Spring Rate Calculator
1.0 Hz – Comfort / Street Cruiser 1.2 Hz – Performance Street 1.5 Hz – Pro Touring / Sport 2.0 Hz – Drag Race / Track 2.5 Hz – High Downforce / Aero Custom (Enter below)

Suspension Setup Results

Calculated Motion Ratio:
Angle Correction Factor:
Target Wheel Rate:
Recommended Spring Rate:
Est. Static Deflection (Sag):

Understanding 4-Link Rear Suspension Spring Rates

Tuning a 4-link rear suspension requires precise calculation of spring rates to ensure optimal traction, handling, and ride quality. Unlike a simple beam axle on leaf springs, a 4-link setup with coilovers introduces variables like motion ratios and shock angles that significantly alter how the spring acts on the wheel.

1. Sprung Corner Weight

This is the foundation of your calculation. It represents the actual weight resting on the spring at ride height. To get an accurate number, you should weigh the rear of the car and subtract the "unsprung weight" (the weight of the rear end housing, axles, brakes, wheels, and tires). The remaining figure is the sprung weight that the springs must support.

2. Motion Ratio (The Leverage Effect)

In many 4-link setups, the coilover is not mounted directly over the axle centerline. It is often mounted on the lower link, somewhere between the frame pivot and the axle. This creates a lever arm.

The Motion Ratio (MR) is calculated as:

Motion Ratio = (Distance from Pivot to Shock) / (Distance from Pivot to Axle)

If your shock is mounted halfway down the link, your motion ratio is 0.5. This means for every 1 inch the wheel moves, the shock only moves 0.5 inches. Consequently, the spring needs to be significantly stiffer to control the wheel leverage.

3. Shock Angle Correction

Springs work most efficiently when compressed vertically. As you angle a shock (often done for packaging constraints in drag cars or street rods), its effective rate decreases. The calculator applies a correction factor based on the cosine of the angle. A shock mounted at a 30-degree angle requires a stiffer spring than one mounted vertically to achieve the same wheel rate.

4. Natural Frequency Targets

The "feel" of the suspension is mathematically defined by its Natural Frequency (measured in Hz). This determines how quickly the suspension settles after a bump.

  • 1.0 – 1.2 Hz: Comfortable street ride, typical for cruisers.
  • 1.3 – 1.6 Hz: Sporty handling, Pro-Touring, firmer ride.
  • 1.8 – 2.5 Hz: Dedicated track cars, drag racing launch stability, or high-downforce applications.

Use this calculator to find the ideal spring rate (lbs/in) for your specific 4-link geometry and intended use.

// Handle Custom Frequency Toggle var freqSelect = document.getElementById('targetFreq'); var customFreqInput = document.getElementById('customFreq'); freqSelect.onchange = function() { if (this.value === 'custom') { customFreqInput.style.display = 'block'; } else { customFreqInput.style.display = 'none'; } }; function calculateSpringRate() { // Get Inputs var weight = parseFloat(document.getElementById('cornerWeight').value); var distAxle = parseFloat(document.getElementById('pivotToAxle').value); var distShock = parseFloat(document.getElementById('pivotToShock').value); var angleDeg = parseFloat(document.getElementById('shockAngle').value); var selectedFreq = freqSelect.value; var frequency = 0; if (selectedFreq === 'custom') { frequency = parseFloat(customFreqInput.value); } else { frequency = parseFloat(selectedFreq); } // Validation if (isNaN(weight) || weight <= 0) { alert("Please enter a valid Sprung Corner Weight."); return; } if (isNaN(distAxle) || isNaN(distShock) || distAxle <= 0 || distShock distAxle) { alert("Shock distance cannot be greater than Axle distance in a standard trailing arm/4-link setup."); return; } if (isNaN(angleDeg)) { angleDeg = 0; // Default to 0 if empty } if (isNaN(frequency) || frequency <= 0) { alert("Please select or enter a valid Target Frequency."); return; } // 1. Calculate Motion Ratio (MR) // MR = Shock Travel / Wheel Travel // In a trailing arm setup, this is D_shock / D_axle var motionRatio = distShock / distAxle; // 2. Calculate Angle Correction Factor (ACF) // Formula: cos(Angle) // Note: Stiffness efficiency drops by square of cosine effectively in terms of vertical wheel rate contribution, // but typically standard formula uses cos^2(theta) for the relationship K_w = K_s * MR^2 * cos^2(theta) OR sin^2 depending on reference. // If 0 deg is vertical, we use Cosine. // Reference: Milliken & Milliken. var angleRad = angleDeg * (Math.PI / 180); var angleFactor = Math.cos(angleRad); // Force vector component // However, for Spring Rate calculation from Wheel Rate: // Wheel Rate (Kw) = Spring Rate (Ks) * (Motion Ratio)^2 * (AngleFactor)^2 // Therefore Ks = Kw / (MR^2 * AngleFactor^2) // This accounts for both the leverage of the arm AND the reduced efficiency of the angled shock. var angleEfficiency = Math.pow(angleFactor, 2); // Edge case: if angle is 90 degrees, efficiency is 0 (impossible setup) if (angleEfficiency < 0.001) { alert("Shock angle is too extreme (near horizontal). Check your inputs."); return; } // 3. Calculate Target Wheel Rate (Kw) // Formula: Kw = Mass * (2 * pi * Freq)^2 // Mass in Slugs = Weight / 386.1 (gravity in inches/s^2) var gravity = 386.1; var mass = weight / gravity; var wheelRate = mass * Math.pow(2 * Math.PI * frequency, 2); // 4. Calculate Required Spring Rate (Ks) var springRate = wheelRate / (Math.pow(motionRatio, 2) * angleEfficiency); // 5. Calculate Static Deflection // How much the spring compresses under the car's weight alone // Force on Spring = (Weight / MotionRatio) / cos(Angle) — roughly // Simpler: Deflection = Weight_on_Wheel / Wheel_Rate // or Spring_Deflection = Force_on_Spring / Spring_Rate var staticDeflection = weight / wheelRate; // Display Results document.getElementById('resMotionRatio').innerHTML = motionRatio.toFixed(3); document.getElementById('resAngleFactor').innerHTML = (angleEfficiency * 100).toFixed(1) + "% efficiency"; document.getElementById('resWheelRate').innerHTML = Math.round(wheelRate) + " lbs/in"; document.getElementById('resSpringRate').innerHTML = Math.round(springRate) + " lbs/in"; document.getElementById('resDeflection').innerHTML = staticDeflection.toFixed(2) + " inches"; document.getElementById('result').style.display = 'block'; }

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