B09 · Intermediate · 1–2 hours
BS 8110 — continuous beam (Table 3.5)
Uniformly loaded continuous rectangular, T or L beam: moments and shears from Table 3.5 coefficients, flexure at end span, first support, interior span and interior support, span/d and links.
Tool: Education preview · Lesson: In preparation · Example: Built awaiting check · Workbook: Not applicable · Assessment: Not started
Outstanding before release: Engineering checker to verify clause mapping against BS 8110-1 and sign off v0.1.0. Cross-checked against TCC RCC95 Continuous Beams (Tables) (see evidence).
Sources
| Role | Source | Note |
|---|---|---|
| Primary | BS 8110-1:1997 (+A1–A3): 3.4.3 & Table 3.5 (coefficients and conditions: Qk ≤ Gk, ≥ 3 spans differing ≤ 15%); 3.4.1.5 (flange width); 3.4.4.4 / 3.4.4.5; Table 3.25; 3.4.5 / Tables 3.7–3.8; 3.4.6; 3.12.11 | Withdrawn standard — education and legacy checks only (mapping awaiting checker verification) |
| Supporting | Cross-check reference: The Concrete Centre RCC95 Continuous Beams (Tables) (external tool; not used in the implementation) | Comparison evidence only (mapping awaiting checker verification) |
"Primary" marks the governing clause for this exercise; "contextual" marks related clauses; "supporting" marks the design-method or data source outside the CDC. A CDC chapter mapping does not mean the CDC contains the equation used.
Prerequisites: B04 BS 8110 — beam shear (links) · Topics: Reinforced concrete
Lesson
Lesson in preparation. No content is published until it has been written and reviewed.
Calculator
Purpose: Design of a continuous beam of three or more approximately equal spans with uniform load, using the moment and shear coefficients of Table 3.5.
Model: Moments F·L × coefficient (F = total ULS load on a span): end span 0.09, first interior support −0.11, interior span 0.07, interior support −0.08; shears 0.45F, 0.60F, 0.55F. Flange in compression at spans; web width at supports.
Units: N, mm, kN, kNm; stresses in N/mm² Ranges: fcu 25–50 N/mm²; fy 250 / 460 / 500; βb 0.7–1.0
Equations: F = (1.4gk + 1.6qk)L ; M = coefficient × F × L ; As by 3.4.4.4 (K′ = 0.156) / 3.4.4.5 for web neutral axis ; Asv/sv per Table 3.7; span/d per 3.4.6 (no credit for top steel)
Clauses: 3.4.3 & Table 3.5 (coefficients and conditions: Qk ≤ Gk, ≥ 3 spans differing ≤ 15%); 3.4.1.5 (flange width); 3.4.4.4 / 3.4.4.5; Table 3.25; 3.4.5 / Tables 3.7–3.8; 3.4.6; 3.12.11
© 2026 QP Academy. Original calculation software implementing BS 8110-1:1997 (+A1, A2, A3). BS 8110 is WITHDRAWN (superseded by BS EN 1992-1-1 and, in Singapore, SS EN 1992-1-1). For education and for checking legacy designs only — not for new design submissions.
Not covered: 1 or 2 spans; unequal spans beyond 15%; concentrated loads; Qk > Gk (use analysis); Compression steel (section reported as FAIL if K > K′); Curtailment, laps, torsion
Version 0.1.0 Draft
EDUCATION PREVIEW — NOT YET INDEPENDENTLY CHECKED. Education preview: this calculator has not yet been independently checked by an engineer. Use for learning only — not for engineering use. Outputs are stamped and must not be used for engineering work.
Excel workbook
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Exercises
Assessment in preparation.