Spur Rack and Pinion Steering Assembly

Generate a precision 3D CAD model and assembly of a Spur Rack and Pinion Steering Mechanism in metric units (millimeters). Follow the exact engineering specifications below: --- 1. PINION GEAR SPECIFICATIONS: - Gear Type: Standard Involute Spur Gear - Module (m): 1.5 mm - Number of Teeth (Z): 10 teeth - Pitch Circle Diameter (PCD): 15.0 mm - Outer Diameter (Tip Diameter): 18.0 mm - Root Diameter: 11.25 mm - Tooth Profile / Pressure Angle: 20 degrees - Gear Face Width (Thickness): 15.0 mm - Center Bore: 8.0 mm diameter smooth concentric through-hole along the rotational axis. - Front Bearing Hub: Cylindrical extension boss on front face, 10.0 mm length, extending along the central axis concentric with the 8.0 mm bore. --- 2. STEERING RACK SPECIFICATIONS (120 mm CAD Test Model): - Bar Cross-Section Base: Square profile bar, 15.0 mm total height x 15.0 mm face width (thickness). - Total Rack Length: 120.0 mm - Solid Base Height (Valley Floor): 11.7 mm solid height from the rack bottom face to the tooth root floor. - Tooth Profile: Linear rack teeth matching Module 1.5 mm with a 20-degree pressure angle. - Tooth Height / Depth: 3.3 mm total height above the valley floor (reaching 15.0 mm total rack height). - Circular Tooth Pitch (p): 4.712 mm (pi * Module). - Rack Longitudinal Breakdown (120.0 mm total span): a) Left Attachment Tip: 10.0 mm length. b) Left Smooth Guide Margin: 24.1 mm length of smooth 15.0 mm x 15.0 mm bar stock. c) Central Toothed Region: 51.8 mm active length containing exactly 11 rack teeth. d) Right Smooth Guide Margin: 24.1 mm length of smooth 15.0 mm x 15.0 mm bar stock. e) Right Attachment Tip: 10.0 mm length with internal M10x1.25 threaded hole (15 mm depth). --- 3. ASSEMBLY & KINEMATIC RELATIONS: - Ground Condition: The steering rack is grounded (fixed). - Center Distance Alignment: Set the vertical distance between the bottom face of the rack and the center rotational axis of the pinion gear to exactly 21.0 mm (representing a 9.3 mm vertical offset from the 11.7 mm rack valley floor). - Phase Angle Alignment: Rotate the pinion gear by 18 degrees around its center axis so that one pinion tooth points directly into the rack valley with equal clearance gaps on both tooth flanks (zero tip-to-tip collision). - Kinematic Joint / Motion Link: Link the Revolute Joint of the Pinion to the Slider Joint of the Rack such that 360 degrees of pinion rotation equals 47.124 mm of linear rack displacement (15.0 mm PCD * pi). --- 4. MATERIAL & APPEARANCE: - Pinion Material: Steel, Case-Hardened (AISI 8620 / EN24 representation). - Rack Material: Alloy Steel (AISI 4140 representation).

Parameters

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