Section
Z_t ≈ ½ Z_b — the defining U-girder property
A_c
3.0255m²
y_b
615.7mm
I_c
1.0276m⁴
Z_b
1.669m³
Z_t
0.776m³
w_sw
75.64kN/m
Prestress
Tendons
12 × 12K15
A_p
20 160mm²
P_jack
29 030.4kN
P_m0 (mid)
26 841.6kN
P_m,∞ (mid)
21 541.1kN
Loss (mid / support)
25.8 / 30.8%
e mid / end
435.7 / -234.3mm
Camber transfer / ∞
7.82 / -4.85mm
Governing ULS / SLS
Flexure midspan M_Ed / M_Rd25 791.3 / 34 248.5
0.753
Shear support V_Ed / V_Rd,s4 033.0 / 4 292.8
0.939
Shear S23 116.6 / 3 122.0
0.998
Transfer compression S016.07 / 21.6
0.744
Rare compression midspan19.24 / 28.8
0.668
LL deflection12.24 / 35.0 mm
0.350
Anchorage bearing2 419.2 / 2 590.1
0.934
Verification register
Checks performed / failed per module
| Module | Checks | Failed | Max util. | Status |
|---|---|---|---|---|
| SLS stresses | 24 | 0 | 0.744 | PASS |
| Cracking | 10 | 0 | 0.481 | PASS |
| Deflection | 4 | 0 | 0.350 | PASS |
| ULS flexure | 15 | 0 | 0.903 | PASS |
| ULS shear | 12 | 0 | 0.998 | PASS |
| Torsion | 3 | 0 | 1.000 | PASS |
| Transverse frame | 6 | 0 | 0.827 | PASS |
| End block | 5 | 0 | 0.934 | PASS |
| Construction stages | 13 | 0 | 0.749 | PASS |
| Fatigue | 15 | 0 | 0.419 | PASS |
| OVERALL | 107 | 0 | PASS |
Most critical checks
Web share envelope Torsion
1.000
Shear V_Ed/V_Rd,s · S2ULS shear
0.998
Shear V_Ed/V_Rd,s · S0ULS shear
0.939
Shear V_Ed/V_Rd,s · S1ULS shear
0.937
Release strength End block
0.934
Anchorage bearing End block
0.934
Shear V_Ed/V_Rd,s · S3ULS shear
0.921
Min tension steel ULS flexure
0.903
1 · The tendon does not reach f_pd at ULS (σp = 1 198.5 < 1 407.1 MPa): the section is compression-controlled through the narrow top kerbs.
2 · Shear at S2 is near 1.0 (util 0.998) — link spacing is set right at the limit.
Utilisation matrix
rows = checks, columns = design sections
| Check | S0 | S1 | S2 | S3 | S4 | S5 | Global |
|---|---|---|---|---|---|---|---|
| Transfer compression · SLS stresses | 0.74 | 0.61 | 0.50 | 0.46 | 0.52 | 0.55 | |
| Transfer tension · SLS stresses | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | |
| Rare compression · SLS stresses | 0.49 | 0.54 | 0.58 | 0.62 | 0.66 | 0.67 | |
| QP linear-creep limit · SLS stresses | 0.65 | 0.60 | 0.55 | 0.46 | 0.44 | 0.43 | |
| Decompression · Cracking | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | |
| Min steel Bottom slab · Cracking | 0.48 | ||||||
| Min steel One web (lower half) · Cracking | 0.25 | ||||||
| Min steel One kerb · Cracking | 0.38 | ||||||
| LL deflection · Deflection | 0.35 | ||||||
| Long-term sag · Deflection | 0.04 | ||||||
| Residual hog vs plinth · Deflection | 0.00 | ||||||
| Camber growth · Deflection | 0.00 | ||||||
| Flexure M_Ed/M_Rd · ULS flexure | 0.00 | 0.29 | 0.47 | 0.66 | 0.74 | 0.75 | |
| Min tension steel · ULS flexure | 0.90 | ||||||
| Max tension steel · ULS flexure | 0.23 | ||||||
| Max total steel · ULS flexure | 0.17 | ||||||
| Tendon strain ≤ εud · ULS flexure | 0.23 | 0.25 | 0.27 | 0.29 | 0.30 | 0.31 | |
| Web crushing V_Ed/V_Rd,max · ULS shear | 0.57 | 0.50 | 0.44 | 0.49 | 0.30 | 0.12 | |
| Shear V_Ed/V_Rd,s · ULS shear | 0.94 | 0.94 | 1.00 | 0.92 | 0.75 | 0.31 | |
| Web share envelope · Torsion | 1.00 | ||||||
| No uplift at far bearing · Torsion | 0.00 | ||||||
| Torsion τ · Torsion | 0.25 |