Design of Automotive Towing DevicesGh.L. Mogan, I.D. Buzdugan — Transilvania University of Brașov
Worked exampleEx.5.2

Design of joint 7-8 (pin joint) — example

Design data

External forces: FX = 1500 N.

Dimensional constraints: the square tube 7, of side h7 = 50 mm and thickness t7 = 5 mm, is assembled with the square tube 8, of side h8 = 60 mm and thickness t8 = 5 mm.

Operating constraints: temperature T = (−30…40) °C; outdoor working environment with high humidity.

Design constraints: dimensional interchangeability.

Materials and heat treatments

A weldable material, S235 steel according to SR EN 10025-2 (STAS 500/2), was chosen for elements 7 and 8.

The pin is made of a steel for mechanical construction, e.g. E295 (SR EN 10025/2005).

Material properties

MaterialHeat treatmentHardness [HB]Yield strengthUltimate tensile strength, σr
S235––σ02 = 235 MPaσr = 360 MPa
E295––σ02 = 295 MPaσr = 390 MPa

Allowable shear stress τaf = 60 MPa.

Allowable steel-on-steel crushing stress σas = 70 MPa.

Sizing and checking

Sizing

From the sizing relation obtained from the crushing strength conditions of the pin joint, with F = FX = 1500 N, ti = t7 = 5 mm, te = t8 = 5 mm and σas = 70 MPa, the required pin diameter is

Db = 10 mm is adopted.

Checking

The shear stress in the pin, with F = 1500 N and Db = 10 mm, is

and the check τf ≤ τaf becomes 9.55 ≤ 60 MPa (satisfied).

Constructive-technological shape

Constructive-technological drawing

Adopted constructive-technological parameters

– dimensions: h7 = 50 mm, t7 = 5 mm, h8 = 60 mm, t8 = 5 mm, L7 = 105 mm, L8 = 95 mm, l = 30 mm; Db = 10 mm;

– technological operations: milling the tube ends, drilling/reaming the pin holes;

– roughness of the machined surfaces: Ra1 = 12.5 µm, Ra2 = 6.3 µm;

– sharp edges are chamfered 1×45°;

– the position of the pin hole (and, if needed, of the adjustment pin hole) is set when drawing the assembly.

Adopted joint components

– spring-type (safety) split pin, d = 2.5 mm;

– washer for pins: d1 = 10 mm, D = 20 mm, h = 2.5 mm.