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How to use the apex haunch calculator

The portal frame ridge connection: what each input means, where the bolts work under gravity and under uplift, and how to read the joint resistance.

1. What the calculator does

The apex haunch calculator checks the ridge connection of a portal frame: two rafters meet at the apex, each with a haunch and an end plate, bolted to each other. Under gravity the bottom of the apex is in tension, so the bolt rows are at the bottom, in the haunch. The engine uses the same component method as the eaves haunch, with the apex geometry: the roof pitch, the two plates and the bolts through both.

The code route is the EN 1993-1-8 component method (clause 6.2) with the STATIX apex-haunch check, as the page badge says, with published-example checks.

Apex haunch calculator header with the PASS badge
The header: PASS 45 %, governed by the beam flange weld.

2. The inputs, group by group

InputWhat it meansTypical value
RaftersThe rafter section (both sides), the roof pitch and the steel grade.457×191×67 UB, 10°, S355
HaunchDepth below the rafter and length; “Haunch details” for the flange and how it is cut.300 deep, 500 long
End plateExtended or flush, width, depth (0 = the minimum) and thickness.extended, 180 wide, 20 thick
BoltsSize, grade, tension rows, row pitch and gauge.M20 10.9, 4 tension rows, pitch 80, gauge 100
Actions (ULS)Factored apex moment, shear and axial force.M 180 kNm, V 120 kN
Apex haunch inputs: rafters, haunch, end plate, bolts and actions
The inputs. The roof pitch sets the angle between the plates.

3. How to read the result

The drawings show the apex to scale: both rafters at the pitch, the two haunches, the two end plates and the bolts through them.

Apex connection elevation and view on the plate
Apex connection: rafters at 10°, haunches 300 × 500, two extended end plates 180 × 20, Mj,Rd 531.2 kNm.

The joint resistance card gives the moment resistance, the connection depth, the roof pitch and apex angle, the shear resistance, the compression at the haunch and rafter flange, the top-row tension, the critical row and the governing component.

Joint resistance card for the apex haunch
Joint resistance: Mj,Rd 531.2 kNm, depth 753 mm, apex angle 160°, Vj,Rd 274 kN, Fc,Rd 1071 kN; governing beam flange weld at 45 %.

The badge names the governing component; here the beam flange weld at 45 %. As on the eaves page, the “vs plain apex” row shows a dash because the shared engine does not compute it. Anything the engine could not run shows as NOT CHECKED.

Design checks summary for the apex haunch
Design checks: EN 1993-1-8 · 51 pass.

4. Calc sheet and take-off

The result (pass / fail and utilisation) stays free for everyone. Every check with its clause, the calc sheet and the bending schedule are open to signed-in users. Sign in free: 3 designs a month (one calculator, open for 24 hours). Unlimited with a calculator pack.

The detail drawing sheet (PDF / DXF) is part of the paid plan. The connection take-off collects every connection of this type in the project, with the plate, bolts, welds and steel mass.

Connection take-off of all apex connections
The take-off: two end plates, two haunches, bolts and welds, 37.5 kg for one apex.

5. A 2-minute walk-through

  1. Open the calculator: 457 UB rafters at 10°, 300 mm haunches, 4 tension rows of M20 10.9, M 180 kNm.
  2. Read the badge: PASS 45 %, beam flange weld.
  3. Enter an uplift case with a negative moment and see the top of the apex go into tension.
  4. Steepen the pitch to 15° and see the apex angle change.
  5. Try a flush plate and compare Mj,Rd.

6. Common mistakes

  • Only gravity. Under uplift the apex moment reverses; the top bolts then carry the tension.
  • Shear at the apex taken as zero. Unequal loading, such as drift or wind on one side, gives shear at the ridge.
  • Pitch from the drawing in the wrong unit. The pitch is in degrees from the horizontal.
  • Bolt rows in the wrong place. Under gravity the tension is at the bottom of the apex, in the haunch; the rows near the haunch flange do the work.
  • Forgetting the second plate in the take-off. An apex has two end plates and two haunches; the take-off counts both.

7. Where it fits

The apex moment and shear come from the portal frame analysis. The apex moment is usually smaller than the eaves moment, so the apex haunch can often be shorter or the plate flush; check every combination, including wind uplift, before you make it lighter. The eaves connection and the column base have their own calculators.

8. Learn more

Try it nowThe calculator opens with the walk-through inputs above. The result is free; sign in for the checks, calc sheet and schedule.
Open the apex haunch calculator

A guide to using the calculator, not a design. Check every value against the current code and your own project, and have the design checked and signed by a registered professional engineer.

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