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EN 1995-1-1:2004+A2:2014, 6.4.2EN 1995-1-1:2004+A2:2014, 6.4.3

Design pitched cambered timber beams to Eurocode 5

Describe the geometry (including any cantilevers), material, and internal forces at each section. Mia runs the full EN 1995-1-1 verification suite: shear, combined tension/compression and bending, ridge bending and tension perpendicular to grain, lateral-torsional buckling, and support pressure, with the governing utilisation named.

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Worked exampleSKL-000059

GL24c pitched cambered beam, hap 1.00 m, R 20 m, with cantilevers

GL24c pitched cambered beam, h_ap 1.00 m, R 20 m, with cantilevers
Transparent stepsStandards-basedDocument as PDF
Worked example

GL24c pitched cambered beam, hap 1.00 m, R 20 m, with cantilevers

Material
GL24c glulam per EN 14080
Apex height hap
1.00 m
Curvature radius R
20 m (inside face)
Cantilevers
1.5 m each end

Verify the apex zone of a pitched cambered glulam beam GL24c, b = 250 mm, hap = 1.00 m, R = 20 m (to the inside face), delta = 15 degrees, t = 40 mm, service class 2, gamma_M = 1.3, apex zone volume V = 2.68 m3, Map,d = 143.7 kNm.

Calculate the example with Mia

Required inputs

  • Geometry: span l, support widths la/l_b, beam width b, upper/lower edge slope angles, beam heights (hs, ha, hFirst, hap), curvature radius R and its reference face; optional cantilever length/end slope/bottom-edge slope on either end
  • Glulam strength class (or fm,k / ft,0,k / ft,90,k / fc,0,k / fc,90,k / fv,k), lamination thickness t, E0,05 and G0,05 for lateral-torsional buckling
  • Service class, load-duration class(es), gamma_M, and the shear crack factor kcr per your National Annex
  • For the ridge check: Map,d directly, or roof loads (permanent/snow/wind) plus a tributary width for a symmetric span case
  • For every other check (shear, tension/compression+bending, tapered-edge bending, lateral-torsional buckling, support pressure): Nd, Vd, Md at that section, from your own analysis (e.g. an RFEM model). This skill does not perform frame/arch analysis itself

What you receive

  • Utilisation ratio and governing EN 1995-1-1 clause for every check run
  • The governing check named across the whole beam
  • Deflection results against the applicable National Annex limits
Prepare your calculation
Dlubal CALC
Configure the apex (ridge) check
Structural calculation to standard

System sketch

m
m
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m
m
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kN/m²
kN/m²
kN/m²

What this skill checks

Apex bending and tension-perpendicular interaction (6.4.3)

Checks the ridge-zone bending stress (k_l) and the combined tension-perpendicular-to-grain/shear interaction (k_dis, k_vol). The apex angle alpha_ap is taken as the true local edge slope at the apex (0 for a smoothly curved ridge, not the support-end taper angle), matching verified RX-TIMBER output.

General section checks (6.1.7, 6.2.2-6.2.4, 6.4.2)

Shear (with the crack-reduction factor), combined tension/compression and bending at any section including cantilevers, and bending on straight tapered edges (tension and compression side).

Lateral-torsional buckling (6.3.3)

Computes the relative slenderness and k_crit from the critical bending stress, given the section's lateral and torsional stiffness and effective buckling length.

Support pressure at an angle (6.2.2)

Checks compression at an angle to the grain at raked supports, with the effective contact length and k_c,90.

Deflection (Table 7.2)

Instantaneous, net-final (creep-adjusted), and combined characteristic/quasi-permanent deflection at midspan and at any cantilever tip, against the National Annex limits.

Frequently asked questions

Which inputs are required?

Full geometry (including any cantilevers), the glulam strength class and elastic properties, service/load-duration classes, and the internal forces (N,d, V,d, M,d) at each section you want checked. For the ridge check alone, roof loads plus a tributary width can stand in for a directly given Map,d.

Does this replace a full structural analysis?

No. This skill checks stresses and capacities at sections you specify. For a curved or cantilevered beam under wind, deriving the internal forces at every section generally needs a real 2D/frame analysis (e.g. an RFEM model, skill 000005-rfem-model-design). Only the simple symmetric-UDL ridge moment can be derived by hand statics here.

Why is alpha_ap not just the roof pitch angle?

For a beam whose top and bottom edges are both curved (a smoothly rounded ridge, not a sharp angular apex), the edge slope AT the apex itself is 0 regardless of the overall roof pitch measured at the supports. Using the support-end slope there would overstate the apex bending check. Tell Mia explicitly if your beam instead has a straight tapered top maintained to a sharp ridge line.

Can this check a beam with cantilevers?

Yes. Describe the cantilever length, end slope, and bottom-edge slope on either side; the same section checks apply at cantilever locations, including the cantilever-specific deflection limits.

Standards & references

EN 1995-1-1:2004+A2:2014, 6.4.2EN 1995-1-1:2004+A2:2014, 6.4.3EN 1990, 6.4.3EN 1991-1-3EN 1991-1-4

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