Continuous beam result
I-beam: bf=36.0, bw=12.0, hf=6.0, bf_bot=24.0, hf_bot=6.0
12.0 × 30.0 in
4-#9
f′c 5000 psi
fy 60.0 ksi
d 27.56 in
2 spans
PASS
All 4 critical sections pass: flexure, shear, crack control, development, deflection.
Input summary
| Span | L (ft) | wD (klf) | wL (klf) |
|---|---|---|---|
| Span 1 | 20.0 | 2.0 | 1.5 |
| Span 2 | 20.0 | 2.0 | 1.5 |
Supports: pin (left), pin (right); interior: continuous (pinned)
Moment and shear envelopes
Pattern loading skipped (L/D ≤ 0.75 per ACI 6.4.3): single full-load case analyzed.
Critical sections
| Location | Mu (kip-ft) | Vu (kip) | Type | Status |
|---|---|---|---|---|
| Span 1 midspan | 154.6 | 2.4 | I | PASS |
| Span 1 right support | 240.0 | 49.0 | T | PASS |
| Span 2 midspan | 154.6 | 2.4 | I | PASS |
| Span 2 left support | 240.0 | 49.0 | T | PASS |
Span 1 midspan PASS
Section type: I (positive moment, flange in compression)
D/C moment
0.32
- φMn (kip-ft)
- 482.0
- Mu (kip-ft)
- 154.6
D/C shear
0.03
- φVn (kip)
- 69.2
- Vu (kip)
- 2.4
Crack control:
PASS
D/C development
0.19
- ld,adj (in)
- 21.4
- lavail (in)
- 114.0
- ψt
- 1.00
Span 1 right support PASS
Section type: T (negative moment, T-beam with bottom flange)
D/C moment
0.51
- φMn (kip-ft)
- 474.9
- Mu (kip-ft)
- 240.0
D/C shear
0.71
- φVn (kip)
- 69.2
- Vu (kip)
- 49.0
Crack control:
PASS
D/C development
0.38
- ld,adj (in)
- 43.8
- lavail (in)
- 114.0
- ψt
- 1.30
Span 2 midspan PASS
Section type: I (positive moment, flange in compression)
D/C moment
0.32
- φMn (kip-ft)
- 482.0
- Mu (kip-ft)
- 154.6
D/C shear
0.03
- φVn (kip)
- 69.2
- Vu (kip)
- 2.4
Crack control:
PASS
D/C development
0.19
- ld,adj (in)
- 21.4
- lavail (in)
- 114.0
- ψt
- 1.00
Span 2 left support PASS
Section type: T (negative moment, T-beam with bottom flange)
D/C moment
0.51
- φMn (kip-ft)
- 474.9
- Mu (kip-ft)
- 240.0
D/C shear
0.71
- φVn (kip)
- 69.2
- Vu (kip)
- 49.0
Crack control:
PASS
D/C development
0.38
- ld,adj (in)
- 43.8
- lavail (in)
- 114.0
- ψt
- 1.30
Deflection
PASS| Span | Ie,avg (in4) | δD (in) | δL (in) | δLT (in) | L/δ | Status |
|---|---|---|---|---|---|---|
| span_1 | 46289 | 0.016 | 0.012 | 0.044 | 5447 | PASS |
| span_2 | 46289 | 0.016 | 0.012 | 0.044 | 5447 | PASS |
Weighted-average Ie per ACI 435.3R-68 (0.70·Ie,mid + 0.15·(Ie,left + Ie,right)); Bischoff Ie per ACI 24.2.3.5.
Calculated 2026-10-26 · ACI 318-19