FEB Differential Mount

Formula Electric at Berkeley — Powertrain · 2026

Designed a differential mounting assembly for Formula Electric at Berkeley's chain-driven rear drivetrain — an EMRAX 228 motor driving a Drexler FSAE differential through a 3.53:1 reduction. The assembly includes bearings, fasteners, frame tabs, a jacking bar and a chain tensioner, and was verified in SolidWorks FEA to a 1.5 minimum factor of safety under 4G shock loading.

Requirements & Hand Calculations

Started from the FSAE rules and the team's project brief: calculate the maximum load on the differential, mount it securely to the rear chassis with all required hardware, add a rules-compliant jacking bar, and compare chain-tensioning options (turnbuckle, eccentric, idler sprocket). From the motor's peak torque and the gear ratio I found the torque on the Drexler differential, then used the #40 chain and sprocket radius to convert that into an 8.4 kN tangential chain load on the mount.

FSAE rules envelope for the rear drivetrain
FSAE rules envelope for the rear drivetrain
Motor peak torque → gear ratio → differential torque
Motor peak torque → gear ratio → differential torque
Chain and sprocket hand calculations
Chain and sprocket hand calculations

Preliminary Sketches

First sketches to envision the mount system before opening CAD — chain in pink, tabs in red, mount in blue, fasteners in green, bearings in purple. The idea: two mounting brackets cross-supported by a bar, mounted to the chassis via welded tabs, with tie rods used to adjust chain tension. These sketches were what I brought to office hours with senior team members.

Isometric concept sketch overlaid on the chassis
Isometric concept sketch overlaid on the chassis
Bracket concept
Bracket concept
Mount back view with support bar
Mount back view with support bar

SolidWorks Design

Built two mounting brackets with fully defined sketches and repeatable dimensions — identical except for the bearing bore, since one side carries a smaller bearing. A bottom tooth mounts the jacking bar, and material was cut out of the bracket wherever it didn't carry load. The assembly was designed to minimize unique parts: 4× frame tabs, 2× tie rods, 80 mm and 90 mm brackets, a jack bar, and 4× M8 bolts with locknuts. Screwing the tie rods in or out moves the differential ±1 in for chain tension.

Bracket drawing
Bracket drawing
Bracket with bearing bore and jacking-bar tooth
Bracket with bearing bore and jacking-bar tooth
Full assembly on the rear chassis tubes
Full assembly on the rear chassis tubes

Simulation

Tie rods were simplified as tabs of equivalent length, the tube chassis was used as the fixture, and all M8 hardware was modeled as bolted connections so hardware stress showed up in the results. Added the differential weight and the 8.4 kN chain force as remote loads, applied the weld tool to every welded item, assigned materials and generated the mesh.

Remote loads applied where the chain acts
Remote loads applied where the chain acts
Fixtures, connections and mesh
Fixtures, connections and mesh

Analysis Results

  • Applied an 8.4 kN chain load to the differential mount
  • Maximum displacement of only about 0.22 mm
  • Minimum factor of safety of 1.549 — meets the 1.5 target for this load case
Von Mises stress
Von Mises stress
Factor of safety
Factor of safety
Displacement
Displacement

Materials, Cost & Manufacturing

Chose AISI 4130 steel: strong and stiff enough for the differential and chain loads, easy to weld to the steel chassis and jacking bar, and low cost with room to remove material later. Tabs are laser or water cut and drilled, the jacking bar is chop-sawed, bearing bores and critical holes are CNC machined, and the final assembly is bolted and welded. Next steps: more FEA iterations to cut weight while keeping FOS near 1.5, more realistic contacts and load cases, and easier chain tensioning and differential removal.

Final differential mount assembly
Final differential mount assembly
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