Master Drawbridge Kinematic Model

Make a drawbridge that is able to move up and down on the z axis. Make sure to follow all the dimensions given. Master Drawbridge Construction & Kinematic Measurements Category Measurement / Dimension Exact Formula Decimal Value (Imperial) Metric Equivalent Notes / Function Deck Structure Deck Beam Length ( L L ) Fixed 20.00 ft 20.00 ft 6.10 m 6.10 m Center of hinge pin to the outer tip of the free end Closed Span Length L L 20.00 ft 20.00 ft 6.10 m 6.10 m Gap distance spanned across the waterway at θ = 0 ∘ θ=0 ∘ Full Open Height L L 20.00 ft 20.00 ft 6.10 m 6.10 m Maximum overhead height clearance required at θ = 90 ∘ θ=90 ∘ Key Position ( θ = 30 ∘ θ=30 ∘ ) Angle ( θ θ ) π / 6 rad π/6 rad 30.0 ∘ 30.0 ∘ 0.524 rad 0.524 rad Instant of interest Vertical Height ( h h or z z ) 20 sin ⁡ ( 30 ∘ ) 20sin(30 ∘ ) 10.00 ft 10.00 ft 3.05 m 3.05 m Vertical clearance from horizontal base to deck tip Horizontal Reach ( x x ) 20 cos ⁡ ( 30 ∘ ) 20cos(30 ∘ ) 17.32 ft 17.32 ft ( 10 3 10 3 ​ ) 5.28 m 5.28 m Remaining horizontal footprint Horizontal Retraction L − x L−x 2.68 ft 2.68 ft 0.82 m 0.82 m Distance the bridge tip pulls back from the opposing abutment Motion & Speed Angular Velocity ( d θ d t dt dθ ​ ) Given constant 0.050 rad/s 0.050 rad/s 2.865 ∘ /s 2.865 ∘ /s Motor/hydraulic drive rotation rate Vertical Speed ( d h d t dt dh ​ or d z d t dt dz ​ ) 20 cos ⁡ ( 30 ∘ ) ⋅ 0.05 20cos(30 ∘ )⋅0.05 0.866 ft/s 0.866 ft/s ( 0.5 3 0.5 3 ​ ) 0.264 m/s 0.264 m/s ( 26.4 cm/s 26.4 cm/s ) Upward velocity of the tip at θ = 30 ∘ θ=30 ∘ Horizontal Velocity ( d x d t dt dx ​ ) − 20 sin ⁡ ( 30 ∘ ) ⋅ 0.05 −20sin(30 ∘ )⋅0.05 − 0.500 ft/s −0.500 ft/s − 0.152 m/s −0.152 m/s Rate at which the tip recedes horizontally Tangential Tip Speed ( v tip v tip ​ ) L ⋅ d θ d t L⋅ dt dθ ​ 1.000 ft/s 1.000 ft/s 0.305 m/s 0.305 m/s Total linear speed along the circular arc Timing & Cycle Time to reach 30 ∘ 30 ∘ ( t 30 t 30 ​ ) π / 6 0.05 0.05 π/6 ​ 10.47 s 10.47 s 10.47 s 10.47 s Time from flat ( 0 ∘ 0 ∘ ) to current angle Full Open Time ( t 90 t 90 ​ ) π / 2 0.05 0.05 π/2 ​ 31.42 s 31.42 s 31.42 s 31.42 s Total time required to open fully to vertical ( 90 ∘ 90 ∘ ); then make it so that I can put this into bambu slicer to 3d print it. The build plate is 256 mm^3

Parameters

Every value above is a live dimension. Open a model like this in the editor and each one becomes a slider you can drag before exporting.