B04 · Intermediate · 1–2 hours
BS 8110 — beam shear (links)
Shear stress, concrete resistance vc (Table 3.8) and vertical link requirement (Table 3.7).
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 a copy of BS 8110-1:1997 (+A3) and sign off v0.1.0. Cross-checked against TCC RCC11 v4.0 (see evidence).
Sources
| Role | Source | Note |
|---|---|---|
| Primary | BS 8110-1:1997 (+A1–A3): 3.4.5.2 (v and maximum 0.8√fcu or 5 N/mm²); Table 3.7 (form and area of links); Table 3.8 (vc); 3.4.5.5 (spacing ≤ 0.75d). | Withdrawn standard — education and legacy checks only (mapping awaiting checker verification) |
| Supporting | Cross-check reference: The Concrete Centre RCC11 Element Design v4.0 (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: none · Topics: Reinforced concrete
Lesson
Lesson in preparation. No content is published until it has been written and reviewed.
Calculator
Purpose: Shear stress, concrete resistance vc and vertical link requirement for a beam section.
Model: Vertical links; no shear enhancement near supports; no axial force.
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: v = V/(bv d) ≤ min(0.8√fcu, 5) ; vc = 0.79 (100As/bvd)^⅓ (400/d)^¼ /1.25 × (fcu/25)^⅓; 100As/bvd ≤ 3; (400/d)^¼ ≥ 1 (links always provided in beams); fcu ≤ 40 in vc ; v ≤ vc + vr: Asv/sv ≥ vr bv/(fyv/γs); vr = 0.4 (fcu ≤ 40) or 0.4(fcu/40)^⅔ ; v > vc + vr: Asv/sv ≥ bv (v − vc)/(fyv/γs) ; sv ≤ 0.75d
Clauses: 3.4.5.2 (v and maximum 0.8√fcu or 5 N/mm²); Table 3.7 (form and area of links); Table 3.8 (vc); 3.4.5.5 (spacing ≤ 0.75d).
© 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 BS 8110 is WITHDRAWN (superseded by BS EN 1992-1-1 and, in Singapore, SS EN 1992-1-1).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: Shear enhancement near supports (3.4.5.8–3.4.5.10); Bent-up bars; Shear in slabs and punching shear; Members with axial load; Lateral spacing of link legs and anchorage of links
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.