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Structural Theory ยท CE361
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Solution & diagrams
๐ Determinate beams ยท units kN, m ยท bending-moment diagram BY PARTS
โ ๐ชต Beam โ as given (updates as you type)
๐
Set your supports and loads on the left โ the beam above updates live. Tap Build moment diagram by parts to draw, referenced to a point you choose: โก the beam with distributed loads extended & balanced to the reference, โข the moment diagram by parts (each force a triangle/spandrel/cubic), and a table of every part's area & centroid.
Answers
Every part's apex sits here. Switch it and the diagrams + table recompute live โ free, no re-charge.
Choices: each support, every load-change point, and the deflection point. Default = the point of interest, so spandrels stay whole (no cutting).
โก ๐ง Adjusted beam (distributed loads extended & balanced to the reference)
โข ๐ Moment diagram by parts (apex at the reference ยท above = M>0, below = M<0 ยท colour = which force, matching โก)
Areas & centroids of the parts (measured from the reference)
โ๏ธThe table is wide โ drag / swipe it sideways to read every column.
No matches โ try another term.
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โ ๏ธ Review before you build
Tapping Build charges 10 EP and draws the moment diagram by parts. Quickly double-check:
- Every support type and location is correct.
- All loads (point, moment, distributed) and their positions are right.
- The point of interest x and beam length L are what you want.