Clevis Joint Check

Perform a quick and complete clevis joint check following Eurocode 3.

General

Force F_Ed (kN)

Replacable Pin

Force F_Ed,ser (kN)

Joint geometry set by

Pin Diameter d (mm)

Gap g (mm)

Yield Pin (N/mm²)

Ultimate Tensile Pin (N/mm²)

Middle plate

Yield stress (N/mm²)

Hole diameter d_0,M (mm)

Thickness t_M (mm)

Side length c_M (mm)

Front length a_M (mm)

Outer Plates

Yield stress (N/mm²)

Hole diameter d_0,O (mm)

Thickness t_O (mm)

Side length c_O (mm)

Front length a_O (mm)

Other

γ_M0

γ_M2

γ_M6,ser

Youngs modulus E (N/mm²)

Sizing

d = 10 mm

g = 5 mm

f_y = 355 N/mm²

f_u = 460 N/mm²

Middle Plate

t_M = 10 mm

d_0,M = 10 mm

c_M = 10 mm

a_M = 10 mm

R_M = 15 mm

f_y = 235 N/mm²

Outer Plate

t_O = 10 mm

d_0,O = 10 mm

c_O = 10 mm

a_O = 10 mm

R_O = 15 mm

f_y = 235 N/mm²

Results

Ultimate Limit State (ULS)

Check	Item	Value	Limit	Unit	Unity Check
Shear	Pin	5	-	kN	-
Bending	Pin	62.5	-	kNm	-
Shear and bending	Pin				-
Bearing	Middle Plate	10	-	kN	-
Bearing	Outer plate	5	-	kN	-
a_M	Middle Plate	10	-	mm	-
c_M	Middle Plate	10	-	mm	-
a_O	Outer plate	10	-	mm	-
c_O	Outer plate	10	-	mm	-

Serviceability Limit State (SLS)

Check	Item	Value	Limit	Unit	Unity Check
Bending	Pin	31.25	-	kNm	-
Bearing	Middle Plate	5	-	kN	-
Bearing	Outer plate	2.5	-	kN	-
Contact stress	Middle Plate	0	-	N/mm²	-
Contact stress	Outer plate	0	-	N/mm²	-

Legend

Parameter name	Symbol	Unit	Info text
Design ultimate load	F_Ed	kN	The total design axial load applied to the clevis joint for Ultimate Limit State (ULS) checks.
Design serviceability load	F_Ed,ser	kN	The design axial load applied to the clevis joint for Serviceability Limit State (SLS) checks, used to prevent excessive deformation or hole ovalization.
Pin diameter	d	mm	The nominal diameter of the cylindrical pin that connects the plates.
Gap	g	mm	The spacing or gap between a middle plate (tongue) and an outer plate (clevis arm). This dimension significantly influences the bending moment in the pin.
Pin yield stress	f_y,p	N/mm²	Yield strength of the material from which the pin is made.
Pin ultimate tensile stress	f_u,p	N/mm²	Ultimate tensile strength of the pin material.
Plate yield stress	f_y,M; f_y,O	N/mm²	Yield strength of the material for the middle (M) plate (tongue) and outer (O) plates (clevis arms).
Plate hole diameter	d_0,M; d_0,O	mm	Diameter of the pin hole in the middle (M) and outer (O) plates. Typically slightly larger than the pin diameter 'd'.
Plate thickness	t_M; t_O	mm	Thickness of the middle (M) plate and outer (O) plates.
Plate side length	c_M; c_O	mm	Distance from the edge of the pin hole to the side edge of the middle (M) and outer (O) plates (perpendicular to force direction).
Plate front length	a_M; a_O	mm	Distance from the edge of the pin hole to the front edge of the middle (M) and outer (O) plates (in line with force direction).
Plate end radius	R_M; R_O	mm	Radius of the profiled end of the middle (M) and outer (O) plates. Important for preventing certain failure modes.
Partial safety factor (yielding)	γ_M0	-	Partial safety factor for resistance of cross-sections (e.g., pin bending). Typically 1.0 or 1.1 for steel structures as per Eurocode.
Partial safety factor (connections)	γ_M2	-	Partial safety factor for resistance of connections, including pins (shear, bearing). Typically 1.25 as per Eurocode.
Partial safety factor (serviceability)	γ_M6,ser	-	Partial safety factor used for serviceability limit state checks of pins, often related to bearing for replaceable pins. Typically 1.0 as per Eurocode.
Young's modulus	E	N/mm²	Modulus of elasticity for the steel material (e.g., 210,000 N/mm² for steel).
Unity check	UC	-	The ratio of the calculated design value to the design limit. A value less than or equal to 1.0 indicates that the weld design is acceptable under the given loads.
Pin shear check	UC shear	-	Verifies pin against shear failure. Compares design shear force (Fv,Ed) to shear resistance (Fv,Rd). Fv,Rd considers single or double shear planes and pin's ultimate strength (fu,p).
Pin bending check	UC bending	-	Verifies pin against bending failure. Compares design bending moment (MEd), influenced by gap 'g', to bending resistance (MRd) based on pin's yield strength (fy,p).
Pin combined shear & bending check	UC combined	-	Interaction check for combined shear and bending effects on the pin: (MEd/MRd)² + (Fv,Ed/Fv,Rd)² ≤ 1.0.
Plate bearing check	UC bearing	-	Verifies the plates against bearing failure at the pin hole, comparing applied force to bearing resistance.
Plate geometry check (front length)	UC shear-tear out	-	Checks if the provided front edge distance for the plate meets minimum Eurocode geometry requirements.
Plate geometry check (side edge)	UC net tension	-	Checks if the provided side edge distance for the plate meets minimum Eurocode geometry requirements.
Pin bending check (SLS)	UC bending,ser	-	Verifies pin against stricter bending limits while under serviceability loads (FEd,ser).
Plate bearing check (SLS)	UC bearing,ser	-	Checks bearing in the plate under serviceability loads to prevent excessive hole elongation.
Plate contact stress check (SLS)	UC contact	-	Verifies contact stress between the pin and the plate under serviceability loads against allowable limits.