Inputs summary · SI (mm · kN · MPa)
Schematic
Figures are generated live from the inputs listed above. Geometry is drawn to scale within each viewBox; absolute sizes are illustrative only. Use the figures as a qualitative check that geometry and loading are not obviously wrong — they are not a CAD drawing.
Weld design — angle-aware fillet weld group
Lifting load at angle (in-plane) is decomposed at the weld centroid into a normal component , a transverse shear , and an in-plane bending moment , where is the pin-to-weld centroid distance.
| Quantity | Symbol | Value |
|---|---|---|
| Lifting angle | 0.0° | |
| Lever arm | 150.0 mm | |
| Applied load | 100.00 kN | |
| Normal component | 100.00 kN | |
| Transverse shear | 0 N | |
| Bending moment | 0.000 kN·m |
| Section property | Symbol | Value |
|---|---|---|
| Leg size | 8.0 mm | |
| Throat | 5.7 mm | |
| Total weld length | 360.0 mm | |
| Throat area | 2036 mm² | |
| Section modulus | 61085 mm³ |
| Throat stress | Formula | Value |
|---|---|---|
| Normal (⊥) | 49.11 MPa | |
| Transverse shear | 0.00 MPa | |
| Longitudinal shear | 0.00 MPa | |
| Equivalent (vM) | 49.11 MPa | |
| Resultant (|R|) | 49.11 MPa |
Angle-aware stresses feed the Mechanics, ASME BTH-1, AISC 360-22 §J2.4, and EN 1993-1-8 §4.5.3 weld checks listed in the primary and cross-check tables. Out-of-plane effects remain out of scope — if present, FEA is recommended.
Governing summary
Primary checks — Mechanics of Materials
| Check | Demand | Capacity | U | Status |
|---|---|---|---|---|
| Net-section tension (mechanics) | 33.78 MPa | 213.00 MPa | 0.159 | pass |
| Double-plane shear-out (mechanics) | 73.53 MPa | 123.00 MPa | 0.598 | pass |
| Pin bearing on lug (mechanics) | 100.00 MPa | 320.00 MPa | 0.313 | pass |
| Pin double shear (mechanics) | 25.46 MPa | 220.00 MPa | 0.116 | pass |
| Fillet weld throat resultant (mechanics) | 49.11 MPa | 207.00 MPa | 0.237 | pass |
| Fillet weld von Mises throat stress (mechanics) | 49.11 MPa | 358.00 MPa | 0.137 | pass |
| ||||
| Fillet weld strength — AISC 360-22 §J2.4 | 100.00 kN | 442.56 kN | 0.226 | pass |
| ||||
Cross-check (other frameworks)
| Check | Demand | Capacity | U | Status |
|---|---|---|---|---|
| Net-section tension — BTH-1 §3-3.3.1 | 100.00 kN | 220.09 kN | 0.454 | pass |
| Single-plane fracture — BTH-1 §3-3.3.2 | 100.00 kN | 185.33 kN | 0.540 | pass |
| Double-plane shear-out — BTH-1 §3-3.3.3 | 100.00 kN | 167.36 kN | 0.598 | pass |
| Pin bearing — BTH-1 §3-3.3.4 | 100.00 kN | 147.92 kN | 0.676 | pass |
| ||||
| Fillet weld allowable — BTH-1 §3-3.4.3 | 49.11 MPa | 80.50 MPa | 0.610 | pass |
| ||||
| Pin-plate geometry — EC3 §3.13.1 | 0.695 | 1.000 | 0.695 | pass |
| Pin shear — EC3 §3.13.2 | 100.00 kN | 1507.96 kN | 0.066 | pass |
| ||||
| Plate bearing — EC3 §3.13.2 | 100.00 kN | 532.50 kN | 0.188 | pass |
| Pin bending — EC3 §3.13.2 | 0.05 kN·m | 11.78 kN·m | 0.004 | pass |
| ||||
| Pin combined shear + bending — EC3 §3.13.2 | 0.004 | 1.000 | 0.004 | pass |
| ||||
| Fillet weld — EN 1993-1-8 §4.5.3.2 directional method | 49.11 MPa | 435.56 MPa | 0.139 | pass |
| ||||
| Fillet weld — EN 1993-1-8 §4.5.3.3 simplified method | 277.78 N/mm | 1422.30 N/mm | 0.195 | pass |
| ||||
| Dynamic amplification factor — DNV-ST-N001 §16 | 1.150× | — | — | info |
| ||||
| Skew-load factor — DNV-ST-N001 §16 | 1.100× | — | — | info |
| ||||
Assumptions used
- 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 , Eurocode , 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 ; actual contact stress peaks are not resolved.
- Fillet welds are symmetric about the load line. The weld group is analysed with , , (in-plane bending), and throat stresses , . Out-of-plane (sling skew) effects and asymmetric weld runs remain out of scope in v1.
Source traceability
- MECH_NET_SECTIONMechanics of Materials — net-section tensionAverage tensile stress on the net cross-section through the pin hole: . Classical identity; no code-specific allowable applied.
- MECH_DOUBLE_SHEAR_OUTMechanics of Materials — double-plane shear-outAverage shear stress on two tear-out planes between hole and free edge: , where . Classical identity; no code-specific allowable applied.
- MECH_BEARINGMechanics of Materials — bearing stressNominal bearing stress on the projected pin-on-plate area: . Classical identity; no code-specific allowable applied.
- MECH_PIN_SHEARMechanics of Materials — pin double shearAverage shear stress on two pin cross-sections (single-lug in clevis): . Classical identity; no code-specific allowable applied.
- MECH_FILLET_WELD_THROATMechanics of Materials — fillet weld throat resultantResultant throat stress on a fillet weld group with angle-aware demand decomposition , , . Throat stresses , ; compared to the user-supplied shear allowable. No or electrode-specific factor applied.
- MECH_FILLET_WELD_VMMechanics of Materials — von Mises throat stressCombined throat stress for a fillet weld group using the von Mises equivalent , compared to the user-supplied tensile allowable (falls back to ).
- AISC_WELD_J24AISC 360-22 §J2.4 · 2022 · §J2.4, Eq. J2-5 (directional strength increase)Nominal fillet-weld strength per unit throat area , where is the angle between the line of action of the force resultant and the weld longitudinal axis. ASD safety factor per §B3.2.
- BTH1_NET_TENSIONASME BTH-1-2020 §3-3.3.1 · 2020 · §3-3.3.1 (eqs 3-45 through 3-48)Static strength of pin-connected plate — tension on the effective net area either side of the pin hole, with reduction for pin/hole clearance and . Allowable includes design factor per §3-1.3.
- BTH1_DESIGN_FACTORASME BTH-1-2020 §3-1.3 · 2020 · §3-1.3Design factor : for Design Category A, for Design Category B. Applied to all §3-3 allowables.
- BTH1_FRACTUREASME BTH-1-2020 §3-3.3.2 · 2020 · §3-3.3.2 (eq 3-49)Single-plane fracture strength of the plate beyond the pin hole.
- BTH1_SHEAR_OUTASME BTH-1-2020 §3-3.3.3 · 2020 · §3-3.3.3 (eqs 3-50 through 3-52)Double-plane shear-out strength: , with and allowable .
- BTH1_BEARINGASME BTH-1-2020 §3-3.3.4 · 2020 · §3-3.3.4 (eqs 3-53 / 3-54)Pin bearing strength on the lug plate. Static bearing allowable ; rotating (Service Class ) reduced to .
- BTH1_WELDASME BTH-1-2020 §3-3.4.3 · 2020 · §3-3.4.3 (eq 3-55)Allowable fillet-weld shear on the effective throat . Extended to combined in-plane loading by applying the von Mises throat equivalent against (Tresca-to-von Mises bridge consistent with AISC 360-22 Commentary on §J2.4).
- EC3_PIN_GEOMETRYEN 1993-1-8:2005 §3.13.1 · 2005 · §3.13.1, Table 3.9Geometric requirements for pin-connected plates: minimum plate thickness, minimum distances and from hole centre to plate edges as functions of , , and .
- EC3_PIN_SHEAREN 1993-1-8:2005 §3.13.2 · 2005 · §3.13.2, Table 3.10 (shear)Pin shear resistance per plane: . A single-lug / clevis assembly presents two shear planes.
- EC3_PLATE_BEARINGEN 1993-1-8:2005 §3.13.2 · 2005 · §3.13.2, Table 3.10 (bearing)Pin/plate bearing resistance: .
- EC3_PIN_BENDINGEN 1993-1-8:2005 §3.13.2 · 2005 · §3.13.2, Table 3.10 & Figure 3.11 (bending)Pin bending resistance: with . The demand follows Figure 3.11: ; evaluated when the user supplies the shackle fork geometry (jaw thickness and either inside-jaw width or clearance ).
- EC3_PIN_COMBINEDEN 1993-1-8:2005 §3.13.2 · 2005 · §3.13.2, Table 3.10 & Figure 3.11 (combined)Combined shear + bending interaction on the pin: . Gated on the same shackle fork geometry as the pin-bending check.
- EC3_WELD_DIRECTIONALEN 1993-1-8:2005 §4.5.3.2 · 2005 · §4.5.3.2 (directional method)Directional check for a fillet weld throat. Two criteria: and . Correlation factor taken from Table 4.1 based on the weaker joined steel grade.
- EC3_WELD_SIMPLIFIEDEN 1993-1-8:2005 §4.5.3.3 · 2005 · §4.5.3.3 (simplified method)Simplified check on the weld throat as a vector shear: with . Conservative relative to the directional method; shown as a cross-check.
- DNV_N001_DAFDNV-ST-N001 §16 · 2020-01 · Section 16 (lifting)Dynamic amplification factor applied to the static rigging load. Values depend on lift weight and environment category (onshore light / standard / heavy; offshore sheltered / open sea). Defaults below are starting values — user must confirm against the project-specific clause.
- DNV_N001_SKEWDNV-ST-N001 §16 · 2020-01 · Section 16 (lifting)Skew-load factor for multi-sling lifts. Single-lug padeyes receive only the SKL multiplier on the sling force; governing SKL redistribution applies to multi-point rigging.