Calculator

Single-plate lug verification

Pick a methodology route. The selected family drives the governing check; the other families are shown as cross-checks. Toggle SI / US customary units at any time.

Inputs

Inputs displayed in SI (mm, kN, MPa). Allowables are user-supplied.

Project

Metadata used on the report header.

Project name

Revision

Client

Methodology routeThe selected route becomes the primary utilisation basis; other frameworks are still computed and shown as a cross-check panel.

Preset

Load

Design load at the pin, dynamic factor, and sling angle from the in-plane axis.

Design loadkN

Dynamic factor×

Lifting angledeg

Above 30° → FEA recommended

Geometry

Single-plate dimensions at the pin cross-section.

Plate thickness tmm

Plate width wmm

Hole diameter dmm

Pin diameter

d_{p}

Edge distance

a

Hole centre to free edge along load line

Lug material

Allowable stresses are user-supplied; no code factor is applied here.

F_{y}

(yield)MPa

F_{u}

(ultimate)MPa

Allow. tensionMPa

Allow. shearMPa

Allow. bearingMPa

Pin material

Optional; needed for the pin double-shear check.

F_{y}

MPa

Pin allow. shearMPa

Weld design

Angle-aware fillet-weld group analysis: topology, geometry, allowables, and a live section-property + force-decomposition summary.

Weld topology

Parallel → two line welds along the lug sides. All-around → closed perimeter (adds end welds of length $t$) with AWS A2.4 weld-all-around symbol.

Leg size

s

Throat a = 0.707·s

Side length

L

Lug height

h

Pin centre to weld centroid (lever arm for V·h)

Electrode

F_{E X X}

MPa

E70xx ≈ 483 MPa, E80xx ≈ 550 MPa

Allow. shear

τ_{allow}

MPa

Allow. tension

σ_{allow}

MPa

For von Mises check; falls back to τ·√3

Derived — force decomposition & section properties

N = F cos θ

100 kN

V = F sin θ

0 N

M = V \cdot h

0.0 N·m

a

throat5.7 mm

A_{w}

2036 mm²

S_{w}

61085 mm³

θ =

0.0° from the lug axis; displayed values update live as you change inputs.

Scenario

Environment and allowances affecting effective geometry.

Offshore / marine lift (triggers DNV-ST-N001 scope warning)

Corrosion allowancemm

Preliminary design / quick verification tool. Not a replacement for FEA or full engineering review. Code-specific allowables remain user-supplied until the corresponding standard clause is validated.

Schematic

Front elevation, weld detail, and load decomposition. A qualitative check that geometry and loading are not obviously wrong; the free-body view summarises the decomposition used by every weld check.

Front elevation

Side view — weld detail

Load decomposition

Overall status

0.598Pass

Governing utilisation 59.8%

Governing check

Double-plane shear-out (mechanics)

73.53 MPa / 123.00 MPa

Primary checks — Mechanics of Materials

Governing utilisation is computed from these checks only.

7 active

Net-section tension (mechanics)

Pass

Demand

33.78 MPa

Capacity

213.00 MPa

Utilisation

0.159 · 15.9%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$t_{eff} (mm)$: 20.00
$w - d (mm)$: 148.00
$A_{net} (m m^{2})$: 2960.0

SourceMechanics of Materials — net-section tension

Double-plane shear-out (mechanics)

Governing

Pass

Demand

73.53 MPa

Capacity

123.00 MPa

Utilisation

0.598 · 59.8%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$t_{eff} (mm)$: 20.00
$L_{s} (mm)$: 34.00
$A_{sh} (m m^{2})$: 1360.0

SourceMechanics of Materials — double-plane shear-out

Pin bearing on lug (mechanics)

Pass

Demand

100.00 MPa

Capacity

320.00 MPa

Utilisation

0.313 · 31.3%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$t_{eff} (mm)$: 20.00
$d_{p} (mm)$: 50.00
$A_{b} (m m^{2})$: 1000.0

SourceMechanics of Materials — bearing stress

Pin double shear (mechanics)

Pass

Demand

25.46 MPa

Capacity

220.00 MPa

Utilisation

0.116 · 11.6%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$A_{pin} (m m^{2})$: 1963.5

SourceMechanics of Materials — pin double shear

Fillet weld throat resultant (mechanics)

Pass

Demand

49.11 MPa

Capacity

207.00 MPa

Utilisation

0.237 · 23.7%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$N = F cos θ (N)$: 100000.0
$V = F sin θ (N)$: 0.0
$M = V \cdot h (N \cdot mm)$: 0.0
$h (mm)$: 150.00
$a_{throat} (mm)$: 5.66
$A_{w} (m m^{2})$: 2036.2
$S_{w} (m m^{3})$: 61084.8
$σ_{⊥} (MPa)$: 49.11
$τ_{⊥} (MPa)$: 0.00
$∣ R ∣ (MPa)$: 49.11

SourceMechanics of Materials — fillet weld throat resultant

Fillet weld von Mises throat stress (mechanics)

Pass

Demand

49.11 MPa

Capacity

358.00 MPa

Utilisation

0.137 · 13.7%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$N = F cos θ (N)$: 100000.0
$V = F sin θ (N)$: 0.0
$M = V \cdot h (N \cdot mm)$: 0.0
$A_{w} (m m^{2})$: 2036.2
$S_{w} (m m^{3})$: 61084.8
$σ_{⊥} (MPa)$: 49.11
$τ_{⊥} (MPa)$: 0.00
$σ_{eq} (MPa)$: 49.11

von Mises throat stress: $σ_{eq} = σ_{⊥}^{2} + 3 τ_{⊥}^{2}$ (longitudinal shear $τ_{∥} = 0$ for symmetric, in-plane loading).

SourceMechanics of Materials — von Mises throat stress

Fillet weld strength — AISC 360-22 §J2.4

Pass

Demand

100.00 kN

Capacity

442.56 kN

Utilisation

0.226 · 22.6%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$A_{w} (m m^{2})$: 2036.2
$F_{E X X} (MPa)$: 483.0
$θ_{res} (°)$: 90.00
$1 + 0.5 sin^{1.5} θ$: 1.500
$F_{n w} (MPa)$: 434.70
$R_{n} (N)$: 885118.8
$Ω$: 2.00
$σ_{⊥} (MPa)$: 49.11
$τ_{⊥} (MPa)$: 0.00
$∣ R ∣ (MPa)$: 49.11

Directional increase factor $(1 + 0.5 sin^{1.5} θ) = 1.500$ at $θ_{res} = 90. 0^{\circ}$ .
Nominal throat strength $F_{n w} = 0.60 F_{E X X} (1 + 0.5 sin^{1.5} θ) = 434.7 MPa$ .

SourceAISC 360-22 §J2.4

Cross-check (other frameworks)

Independent utilisations from the other methodology families, shown for comparison. Not included in the governing banner.

14 active

ASME BTH-1-2020

Net-section tension — BTH-1 §3-3.3.1

Pass

Demand

100.00 kN

Capacity

220.09 kN

Utilisation

0.454 · 45.4%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$t_{eff} (mm)$: 20.00
$b_{e} (mm)$: 74.00
$b_{eff} (mm)$: 43.73
$C_{r}$: 0.9245
$N_{d}$: 3.00
$P_{t} (N)$: 220088.3

SourceASME BTH-1-2020 §3-3.3.1 · ASME BTH-1-2020 §3-1.3

Single-plane fracture — BTH-1 §3-3.3.2

Pass

Demand

100.00 kN

Capacity

185.33 kN

Utilisation

0.540 · 54.0%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$t_{eff} (mm)$: 20.00
$b_{e} (mm)$: 74.00
$N_{d}$: 3.00
$P_{b} (N)$: 185328.9

SourceASME BTH-1-2020 §3-3.3.2 · ASME BTH-1-2020 §3-1.3

Double-plane shear-out — BTH-1 §3-3.3.3

Pass

Demand

100.00 kN

Capacity

167.36 kN

Utilisation

0.598 · 59.8%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$t_{eff} (mm)$: 20.00
$a (mm)$: 34.00
$φ (°)$: 52.88
$A_{v} (m m^{2})$: 1756.6
$N_{d}$: 3.00
$P_{v} (N)$: 167362.8

SourceASME BTH-1-2020 §3-3.3.3 · ASME BTH-1-2020 §3-1.3

Pin bearing — BTH-1 §3-3.3.4

Pass

Demand

100.00 kN

Capacity

147.92 kN

Utilisation

0.676 · 67.6%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$t_{eff} (mm)$: 20.00
$D_{p} (mm)$: 50.00
$k_{bearing}$: 1.250
$N_{d}$: 3.00
$P_{p} (N)$: 147916.7

Service Class 0 — static bearing coefficient $1.25$ applied (eq 3-53).

SourceASME BTH-1-2020 §3-3.3.4 · ASME BTH-1-2020 §3-1.3

Fillet weld allowable — BTH-1 §3-3.4.3

Pass

Demand

49.11 MPa

Capacity

80.50 MPa

Utilisation

0.610 · 61.0%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$N = F cos θ (N)$: 100000.0
$V = F sin θ (N)$: 0.0
$M = V \cdot h (N \cdot mm)$: 0.0
$a_{throat} (mm)$: 5.66
$A_{w} (m m^{2})$: 2036.2
$S_{w} (m m^{3})$: 61084.8
$σ_{⊥} (MPa)$: 49.11
$τ_{⊥} (MPa)$: 0.00
$σ_{eq} (MPa)$: 49.11
$F_{v} (MPa)$: 80.50
$E_{xx} (MPa)$: 483.0
$N_{d}$: 3.00

Clause allowable $F_{v} = \frac{0.60 F _{E X X}}{1.20 N _{d}} = 80.5 MPa$ ; compared to the von Mises throat equivalent $σ_{eq}$ .

SourceASME BTH-1-2020 §3-3.4.3 · ASME BTH-1-2020 §3-1.3

EN 1993-1-8:2005 §3.13

Pin-plate geometry — EC3 §3.13.1

Pass

Demand

0.695

Capacity

1.000

Utilisation

0.695 · 69.5%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$t_{eff} (mm)$: 20.00
$d_{0} (mm)$: 52.00
$a_{prov} (mm)$: 60.00
$a_{req} (mm)$: 41.71
$c_{prov} (mm)$: 74.00
$c_{req} (mm)$: 24.38
$t_{req} (mm)$: 11.75
$γ_{M 0}$: 1.000

SourceEN 1993-1-8:2005 §3.13.1

Pin shear — EC3 §3.13.2

Pass

Demand

100.00 kN

Capacity

1507.96 kN

Utilisation

0.066 · 6.6%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$A_{pin} (m m^{2})$: 1963.5
$f_{u p} (MPa)$: 800.0
$γ_{M 2}$: 1.250
$F_{v, Rd}^{plane} (N)$: 753982.2
$F_{v, Rd} (N)$: 1507964.5

Two shear planes assumed (single lug in clevis).

SourceEN 1993-1-8:2005 §3.13.2

Plate bearing — EC3 §3.13.2

Pass

Demand

100.00 kN

Capacity

532.50 kN

Utilisation

0.188 · 18.8%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$t_{eff} (mm)$: 20.00
$d (mm)$: 50.00
$f_{y} (MPa)$: 355.0
$γ_{M 0}$: 1.000
$F_{b, Rd} (N)$: 532500.0

SourceEN 1993-1-8:2005 §3.13.2

Pin bending — EC3 §3.13.2

Pass

Demand

0.05 kN·m

Capacity

11.78 kN·m

Utilisation

0.004 · 0.4%

Intermediate valuesengine SI

$a (mm)$: 16.00
$b (mm)$: 20.00
$c (mm)$: 4.00
$W_{el} (m m^{3})$: 12271.8
$f_{y p} (MPa)$: 640.0
$γ_{M 0}$: 1.000
$M_{Ed} (N \cdot mm)$: 50000.0
$M_{Rd} (N \cdot mm)$: 11780972.5

Moment from EN 1993-1-8 §3.13.2 Figure 3.11: $M_{Ed} = \frac{F _{Ed}}{8} (b + 4 c - 2 a)$ .

SourceEN 1993-1-8:2005 §3.13.2

Pin combined shear + bending — EC3 §3.13.2

Pass

Demand

0.004

Capacity

1.000

Utilisation

0.004 · 0.4%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$a (mm)$: 16.00
$b (mm)$: 20.00
$c (mm)$: 4.00
$M_{Ed} (N \cdot mm)$: 50000.0
$M_{Rd} (N \cdot mm)$: 11780972.5
$F_{v, Rd}^{plane} (N)$: 753982.2
$F_{v, Rd} (N)$: 1507964.5
$F_{Ed} / F_{v, Rd}$: 0.0663
$M_{Ed} / M_{Rd}$: 0.0042

Two shear planes assumed (single lug in clevis), matching the pin-shear check.

SourceEN 1993-1-8:2005 §3.13.2

Fillet weld — EN 1993-1-8 §4.5.3.2 directional method

Pass

Demand

49.11 MPa

Capacity

435.56 MPa

Utilisation

0.139 · 13.9%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$N = F cos θ (N)$: 100000.0
$V = F sin θ (N)$: 0.0
$M = V \cdot h (N \cdot mm)$: 0.0
$a_{throat} (mm)$: 5.66
$A_{w} (m m^{2})$: 2036.2
$S_{w} (m m^{3})$: 61084.8
$σ_{⊥} (MPa)$: 49.11
$τ_{⊥} (MPa)$: 0.00
$σ_{eq} (MPa)$: 49.11
$β_{w}$: 0.90
$f_{u} (MPa)$: 490.0
$γ_{M 2}$: 1.250
$u_{a}$: 0.1128
$u_{b}$: 0.1392

Criterion (a) combined: $σ_{eq} = 49.1 MPa \leq \frac{f _{u}}{β _{w} γ _{M 2}} = 435.6 MPa$ → $u_{a} = 0.113$ .
Criterion (b) normal: $σ_{⊥} = 49.1 MPa \leq \frac{0.9 f _{u}}{γ _{M 2}} = 352.8 MPa$ → $u_{b} = 0.139$ .
Governing criterion: normal (b).

SourceEN 1993-1-8:2005 §4.5.3.2

Fillet weld — EN 1993-1-8 §4.5.3.3 simplified method

Pass

Demand

277.78 N/mm

Capacity

1422.30 N/mm

Utilisation

0.195 · 19.5%

Intermediate valuesengine SI

$F_{design} (N)$: 100000.0
$N = F cos θ (N)$: 100000.0
$V = F sin θ (N)$: 0.0
$M = V \cdot h (N \cdot mm)$: 0.0
$a_{throat} (mm)$: 5.66
$f_{v w, d} (MPa)$: 251.47
$F_{w, Ed} (N/mm)$: 277.78
$F_{w, Rd} (N/mm)$: 1422.30
$β_{w}$: 0.90
$f_{u} (MPa)$: 490.0
$γ_{M 2}$: 1.250

Design throat shear $f_{v w, d} = \frac{f _{u} / 3}{β _{w} γ _{M 2}} = 251.5 MPa$ .
Resistance per unit length $F_{w, R d} = f_{v w, d} \cdot a = 1422.3 N/mm$ ; demand $F_{w, E d} = 277.8 N/mm$ .

SourceEN 1993-1-8:2005 §4.5.3.3

DNV-ST-N001 §16

Dynamic amplification factor — DNV-ST-N001 §16

Info

Demand

1.150×

Capacity

—

Utilisation

—

Intermediate valuesengine SI

$DAF$: 1.150
$category default$: 1.150
$F (t)$: 10.20

Category default $DAF = 1.15$ selected automatically. Confirm against the project-specific clause before use.

SourceDNV-ST-N001 §16

Skew-load factor — DNV-ST-N001 §16

Info

Demand

1.100×

Capacity

—

Utilisation

—

Intermediate valuesengine SI

$SKL$: 1.100
$category default$: 1.100

Single-lug padeye default $SKL = 1.10$ . Multi-sling redistribution is out of scope for v1.

SourceDNV-ST-N001 §16

Assumptions used

These assumptions back the implemented checks. They will appear in the report alongside the result table.

Geometry is a single-plate lug / padeye without cheek plates. Cheek-plate configurations are out of scope for v1 and require detailed analysis.
Load is applied in the plane of the lug. Out-of-plane bending from sling misalignment is treated via a user-supplied dynamic / skew factor only.
Behaviour assumed linear-elastic, isotropic, homogeneous. No plastic redistribution, residual stresses, or fatigue effects are considered.
Load line passes through the hole centre. Eccentricities between sling and lug centreline are not explicitly evaluated.
Allowable stresses are supplied by the user. The app does NOT apply any code-specific allowable factor (ASME BTH-1 $0.45 F_{y}$ , Eurocode $γ_{M}$ , DNV DAF, etc.) until the corresponding source clause has been supplied and validated.
Pin-to-hole fit is assumed reasonable (pin diameter slightly less than hole diameter). Extreme clearances or wear are not modelled.
Bearing stress is taken as the projected nominal value $σ_{b} = \frac{F}{d _{p} t}$ ; actual contact stress peaks are not resolved.
Fillet welds are symmetric about the load line. The weld group is analysed with $N = F cos θ$ , $V = F sin θ$ , $M = V \cdot h$ (in-plane bending), and throat stresses $σ_{⊥} = N / A_{w} + M / S_{w}$ , $τ_{⊥} = V / A_{w}$ . Out-of-plane (sling skew) effects and asymmetric weld runs remain out of scope in v1.

Export

Open the full engineering report. The calculator is free; issuing a watermark-free deliverable is $5 per report (72-hour revision window) or $20/month on Engineer Pro.

ProjectExample project

RevisionA

Methodologymechanics_raw

Enginev0.2.0

The report opens in a new tab. Preview and review for free; unlock when you're ready to print or save as PDF. Scope disclaimers stay on every report — this is a preliminary design tool, not a substitute for FEA or full engineering review.