Difference between revisions of "Torque Steer"

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'''Torque Steer''' is a yawing effect caused by unequal stiffness driveshafts, most frequently due to unequal length. A stiffer shaft will turn the wheel further than a softer shaft for the same input torque.
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=Example Calculation=
 
=Example Calculation=
  
Step 1: Calculate Polar Moment of Inertia
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Using ballpark values, we can calculate an approximate torque steer value for a generalized FSAE car.
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'''Step 1: Polar Moment of Inertia'''
  
Shaft OD: 0.8"
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The moment of inertia (J) for a hollow shaft is found using the formula &pi;/32 * (D<sup>4</sup>-d<sup>4</sup>). Using values from an RCV axle below, we can find J.
  
Shaft ID: 0.5"
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{| class="wikitable"
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| Shaft OD (D) || 0.8"
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|-
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| Shaft ID (d) || 0.5"
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|}
  
Shaft Area of Inertia: pi/32*(D^4-d^4) = 0.034076in2
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Shaft Area of Inertia = 0.034076in2
  
Step 2: Calculate Torsional Stiffness
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'''Step 2: Calculate Torsional Stiffness'''
  
 
Shaft Material: 4130 Steel
 
Shaft Material: 4130 Steel

Revision as of 11:51, 23 January 2023

Torque Steer is a yawing effect caused by unequal stiffness driveshafts, most frequently due to unequal length. A stiffer shaft will turn the wheel further than a softer shaft for the same input torque.

Example Calculation

Using ballpark values, we can calculate an approximate torque steer value for a generalized FSAE car.

Step 1: Polar Moment of Inertia

The moment of inertia (J) for a hollow shaft is found using the formula π/32 * (D4-d4). Using values from an RCV axle below, we can find J.

Shaft OD (D) 0.8"
Shaft ID (d) 0.5"

Shaft Area of Inertia = 0.034076in2

Step 2: Calculate Torsional Stiffness

Shaft Material: 4130 Steel

4130 Shear Modulus: 80 Gpa or 1.16e+7 psi

Left Shaft Length: 15 in

Right Shaft Length: 19 in

k = G*J / L

Left Torsional Stiffness (kL): 38.3379023 lb-ft / degree

Right Torsional Stiffness (kR): 30.26401 lb-ft / degree

Step3: Find Torque

Max Torque from Engine (Launch): 40 lb-ft

Final Drive Ratio: 3.55

Torque Seen by Driveshaft: 142 lb-ft

Step 4: Find Shaft Twist

phi = T / k

Left Shaft Twist (phiL): 3.704 degrees

Right Shaft Twist (phiR): 4.692 degrees

Step 5: Find Vehicle Yaw

Tire travel (T) = Shaft twist/360 * Tire Circumference

Yaw = arcsin(Tmax-Tmin / Track Width)

Circumference of Tire: 56.52 in

Left Tire Travel: 0.582 in

Right Tire Travel: 0.737 in

Rear Track: 36 in

Yaw: 0.247 degrees