Loading preview…
A 24 m Pratt roof truss 3 m deep in eight panels, CHS 168.3 x 8.0 chords and CHS 88.9 x 5.0 webs, every member a truss member, with 20 kN at each top-chord node and 10 kN at the two ends. A force in every bar and no diagram to draw: the method of joints and the method of sections are the hand checks. Step 7 of the Beams and frames pathway.
| member | N extreme (kN) | |V|max (kN) | |M|max (kN·m) | |
|---|---|---|---|---|
| bc0 | 0.00 | – | – | |
| bc1 | 70.00 | – | – | T |
| bc2 | 120.00 | – | – | T |
| bc3 | 150.00 | – | – | T |
| bc4 | 150.00 | – | – | T |
| bc5 | 120.00 | – | – | T |
| bc6 | 70.00 | – | – | T |
| bc7 | 0.00 | – | – | |
| tc0 | -70.00 | – | – | C |
| tc1 | -120.00 | – | – | C |
| node | ux (mm) | uy (mm) | rz (mrad) |
|---|---|---|---|
| b0 | 0.00 | 0.00 | 0.000 |
| b1 | 0.00 | -5.99 | 0.000 |
| b2 | 0.25 | -10.76 | 0.000 |
| b3 | 0.67 | -13.85 | 0.000 |
| b4 | 1.21 | -15.04 | 0.000 |
| b5 | 1.74 | -13.85 | 0.000 |
| b6 | 2.16 | -10.76 | 0.000 |
| b7 | 2.41 | -5.99 | 0.000 |
| b8 | 2.41 | 0.00 | 0.000 |
| t0 | 2.98 | -0.87 | 0.000 |
| node | Rx (kN) | Ry (kN) | Mz (kN·m) |
|---|---|---|---|
| b0 | 0.00 | 80.00 | 0.00 |
| b8 | 0.00 | 80.00 | 0.00 |
✔ Global equilibrium satisfied · force error 1.1e-12% · moment error 6.5e-13%
Engine 0.1.0+1a69bbcea7c0 · 10:10:22 UTC · educational tool - verify results independently
Roof loadsolved
applied loads
deformed shape ×1
reactions