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Three beams under 20 kN/m, one above the other: a 4 m cantilever, a 6 m propped cantilever, and a 12 m beam fixed at both ends with a hinge at midspan. What a fixed support, a propped end and a hinge each do to the moment diagram, with the textbook numbers to check them. Step 3 of the Beams and frames pathway.
| member | N extreme (kN) | |V|max (kN) | |M|max (kN·m) | |
|---|---|---|---|---|
| cant | 0.00 | 80.00 | 160.00 | |
| prop | 0.00 | 75.00 | 90.00 | |
| hl | 0.00 | 120.00 | 360.00 | |
| hr | 0.00 | 120.00 | 360.00 |
| member @ x | N (kN) | V (kN) | M (kN·m) | δy (mm) |
|---|---|---|---|---|
| cant @ 2 m | 0.00 | 40.00 | -40.00 | -12.70 |
| prop @ 2.25 m | 0.00 | 30.00 | 28.12 | -5.98 |
| prop @ 3 m | 0.00 | 15.00 | 45.00 | -7.56 |
| prop @ 3.75 m | 0.00 | 0.00 | 50.62 | -7.76 |
| node | ux (mm) | uy (mm) | rz (mrad) |
|---|---|---|---|
| c1 | 0.00 | 0.00 | 0.000 |
| c2 | 0.00 | -35.85 | -11.951 |
| p1 | 0.00 | 0.00 | 0.000 |
| p2 | 0.00 | 0.00 | 5.042 |
| h1 | 0.00 | 0.00 | 0.000 |
| h2 | 0.00 | -181.51 | 0.000 |
| h3 | 0.00 | 0.00 | 0.000 |
| node | Rx (kN) | Ry (kN) | Mz (kN·m) |
|---|---|---|---|
| c1 | 0.00 | 80.00 | 160.00 |
| p1 | 0.00 | 75.00 | 90.00 |
| p2 | 0.00 | 45.00 | 0.00 |
| h1 | 0.00 | 120.00 | 360.00 |
| h3 | 0.00 | 120.00 | -360.00 |
✔ Global equilibrium satisfied · force error 1.6e-13% · moment error 1.0e-13%
Engine 0.1.0+1a69bbcea7c0 · 10:11:48 UTC · educational tool - verify results independently
Uniform loadsolved
applied loads
deformed shape ×1
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