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Conjugate Beam Deflection Solver โ€” Ebora
๐Ÿ“ฑ
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Solution & diagrams
๐Ÿ“ Determinate beams ยท units kN, m ยท EI symbolic unless set

โ‘  ๐Ÿชต Beam โ€” as given (updates as you type)

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Set your supports and loads on the left โ€” the beam above updates live. Tap Solve by conjugate beam for the full solution: real reactions โ†’ bending-moment diagram โ†’ that diagram loaded on the conjugate beam (area above = up, below = down) โ†’ conjugate shear = slope, conjugate moment = deflection.

Answers

๐Ÿ“ Moment diagram by parts โ€” reference point tap to switch โ–พ
โ†ป Switch the reference โ€” the by-parts diagrams, areas and working recompute live (no re-charge); the answers stay at your point. Default = your point, so every part ends right at the cut in โ‘ฃ.

โ‘ก ๐Ÿ”ง Adjusted beam (loads extended & balanced to the reference)

โ‘ข ๐Ÿชž Conjugate beam (M diagram by parts โ€” โ†‘ where M>0, โ†“ where M<0)

Areas & centroids (the M/EI loads carried onto the conjugate beam)

Conjugate beam โ€” reactions by statics

โ†”๏ธSome equations are wide โ€” drag / swipe them sideways (left and right) to read the full line.

โ‘ฃ โœ‚๏ธ Cut at your point โ€” slope & deflection by statics

Keep the
ยฉ 2026 Ebora Online Tutorial Services ยท Conjugate Beam Deflection Solver ยท For statically determinate beams โ€” always verify against your own analysis
โœ‚๏ธ Crop โ€” draw a box around just the beam
Drag to select; resize with the corner handles. No other figures needed.
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