calcnote ACI 318-19
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Continuous beam result

T-beam: bf=48.0, bw=14.0, hf=6.0 14.0 × 28.0 in 4-#9 f′c 4000 psi fy 60.0 ksi d 25.56 in 3 spans
PASS

All 7 critical sections pass: flexure, shear, crack control, deflection.

Input summary

Span L (ft) wD (klf) wL (klf)
Span 1 18.0 2.0 1.5
Span 2 24.0 2.0 1.5
Span 3 18.0 2.0 1.5
Supports: pin (left), pin (right); interior: continuous (pinned)

Moment and shear envelopes

Moment Envelope (kip-ft) 198.7 -270.5 Shear Envelope (kip) 72.0 -72.0

8 load patterns analyzed per ACI 6.4.2.

Critical sections

Location Mu (kip-ft) Vu (kip) Type Status
Span 1 midspan 130.0 6.0 T PASS
Span 1 right support 231.4 45.8 rectangular PASS
Span 2 midspan 159.6 2.4 T PASS
Span 2 left support 231.4 49.8 rectangular PASS
Span 2 right support 231.4 49.8 rectangular PASS
Span 3 midspan 130.0 6.0 T PASS
Span 3 left support 231.4 45.8 rectangular PASS
Span 1 midspan PASS

Section type: T (positive moment, flange in compression)

D/C moment 0.29
φMn (kip-ft)
446.9
Mu (kip-ft)
130.0
D/C shear 0.09
φVn (kip)
65.6
Vu (kip)
6.0
Crack control: PASS
Span 1 right support PASS

Section type: rectangular (negative moment, rectangular)

D/C moment 0.56
φMn (kip-ft)
414.7
Mu (kip-ft)
231.4
D/C shear 0.70
φVn (kip)
65.6
Vu (kip)
45.8
Crack control: PASS
Span 2 midspan PASS

Section type: T (positive moment, flange in compression)

D/C moment 0.36
φMn (kip-ft)
446.9
Mu (kip-ft)
159.6
D/C shear 0.04
φVn (kip)
65.6
Vu (kip)
2.4
Crack control: PASS
Span 2 left support PASS

Section type: rectangular (negative moment, rectangular)

D/C moment 0.56
φMn (kip-ft)
414.7
Mu (kip-ft)
231.4
D/C shear 0.76
φVn (kip)
65.6
Vu (kip)
49.8
Crack control: PASS
Span 2 right support PASS

Section type: rectangular (negative moment, rectangular)

D/C moment 0.56
φMn (kip-ft)
414.7
Mu (kip-ft)
231.4
D/C shear 0.76
φVn (kip)
65.6
Vu (kip)
49.8
Crack control: PASS
Span 3 midspan PASS

Section type: T (positive moment, flange in compression)

D/C moment 0.29
φMn (kip-ft)
446.9
Mu (kip-ft)
130.0
D/C shear 0.09
φVn (kip)
65.6
Vu (kip)
6.0
Crack control: PASS
Span 3 left support PASS

Section type: rectangular (negative moment, rectangular)

D/C moment 0.56
φMn (kip-ft)
414.7
Mu (kip-ft)
231.4
D/C shear 0.70
φVn (kip)
65.6
Vu (kip)
45.8
Crack control: PASS

Deflection

PASS
Span Ie,avg (in4) δD (in) δL (in) δLT (in) L/δ Status
span_1 35487 0.015 0.011 0.042 5124 PASS
span_2 19259 0.043 0.032 0.118 2435 PASS
span_3 35487 0.015 0.011 0.042 5124 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 2026-10-25 · ACI 318-19