1. Analysis model and input data
Analysis model
Loading diagram (in the ATD coordinate system)
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FEA model in ANSYS
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Geometric parameters in ANSYS
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Input data
Forces: FX = 1500 N, FY = 300 N, FZ = 700 N.
Moments: MX5 = 25500 Nmm, MY5 = 183500 Nmm, MZ5 = 24000 Nmm.
Geometric parameters: Z1 = 180 mm; h4 = 15 mm, L6 = 70 mm, h5 = 50 mm, t5 = 5 mm, h6 = 60 mm, t6 = 5 mm; h7 = 50 mm, x = 5 mm.
Material: S235, weldable general-purpose steel.
Operating constraints: temperature T = (−30…40) °C.
Parameters of the ANSYS model
Forces: Fx = FX = 1500 N, Fy = FY = 300 N, Fz = 0 (the force FZ is transmitted by the pin joint and is therefore not considered).
Moments: Mx = −MX5 = −25500 Nmm, My = MY5 = 183500 Nmm; Mz = MZ5 = 24000 Nmm.
Geometric parameters: He = 60 mm, Ve = 60 mm, H = 50 mm, V = 50 mm, Hi = 30 mm, Vi = 30 mm, H1 = 50 mm, V1 = 50 mm, L1 = 3 mm, L2 = 10 mm; FD1 = 40 mm and FD4 = 165 mm for Body1; FD1 = 35 mm for Body2.
Material: S235, weldable general-purpose steel, with σat = σ02/ca = 235/1.3 = 180 MPa (since the FEA model is more accurate, a lower allowable safety factor ca was adopted than for the classical, less accurate design models); allowable contact stresses: σas = 90 MPa, the allowable steel-on-steel normal crushing stress, and τas = 45 MPa, the allowable steel-on-steel tangential contact stress.
Viewing the support zone and the applied forces and moments
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2. Results
Viewing the forces and moments in the reaction zone
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Viewing the displacements
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Viewing the stresses and pressures
Equivalent stresses in the global model (bodies 5 & 6)
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Equivalent stresses in body (tube) 5
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Equivalent stresses in body (tube) 6
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Pressures on the contact surfaces
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Tangential (friction) stresses on the contact surfaces
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3. Checks
Deformation check
δ ≤ δa; 0.106 ≤ 5 mm (satisfied).
Note. The allowable deflection is set by the operating conditions.
Equivalent (von Mises) stress check
σech_max ≤ σat; 93.7 ≤ 180 MPa (satisfied),
where σech_max is the maximum equivalent stress in the figure above and σat the allowable tensile stress of the material of body (tube) 6.
Normal contact pressure check
pmax ≤ σas; 43.581 ≤ 90 MPa (satisfied),
where pmax is the maximum pressure in the figure above and σas the allowable crushing stress of the pair of materials.
Tangential contact stress check
τmax ≤ τas; 0.51 ≤ 45 MPa (satisfied),
where τmax is the maximum tangential contact stress (frictional stress) in the figure above and τas the allowable tangential contact stress.