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Example calculation

Eyelets for mounting vessels and apparatuses

in accordance with DIN 28086:1977-11 and Pressure Vessel Design Manual

Input data

  Eyelet head radius r1   mm   (see Attachment 1)
  Hole center height h   mm
  Hole diameter d   mm
  Eyelet thickness s1   mm
  Connection weld thickness a1   mm
  Shackle bolt diameter ds   mm
 
  Tension load Fe   kN
  Elastic modulus E   N/mm²
  Allowable pressure according to Hertz po all   N/mm²
  Allowable stress in the eyelet σall   N/mm²
  Allowable stress in connection weld σaV all   N/mm²
  Yield strength in the eyelet σy   N/mm²
  Yield strength in connection weld σy a   N/mm²
 
 

Calculation

  Pressure according to Hertz po   N/mm²
  Maximum stress due to bending load σM   N/mm²
  Maximum stress due to tension load σF   N/mm²
  Maximum stress in eyelet head σtot   N/mm²
  Maximum stress in eyelet at weld σ⊥ max   N/mm²   (see Attachment 2)
  Inclination angle by maximum equivalent stress βmax   °   (see Attachment 2)
  Maximum stress in connection weld σaV max   N/mm²   (see Attachment 3)
  Inclination angle by maximum equivalent stress βmax   °   (see Attachment 3)
 

Calculation

  Pressure according to Hertz po   N/mm²
  Maximum stress due to bending load σM   N/mm²
  Maximum stress due to tension load σF   N/mm²
  Maximum stress in eyelet head σtot   N/mm²
  Maximum stress in eyelet at weld σ⊥ max   N/mm²   (see Attachment 2)
  Inclination angle by maximum equivalent stress βmax   °   (see Attachment 2)
  Maximum stress in connection weld σaV max   N/mm²   (see Attachment 3)
  Inclination angle by maximum equivalent stress βmax   °   (see Attachment 3)
 

Calculation

  Pressure according to Hertz po   N/mm²
  Maximum stress due to bending load σM   N/mm²
  Maximum stress due to tension load σF   N/mm²
  Maximum stress in eyelet head σtot   N/mm²
  Maximum stress in eyelet at weld σ⊥ max   N/mm²   (see Attachment 2)
  Inclination angle by maximum equivalent stress βmax   °   (see Attachment 2)
  Maximum stress in connection weld σaV max   N/mm²   (see Attachment 3)
  Inclination angle by maximum equivalent stress βmax   °   (see Attachment 3)
 

Results acc. to DIN 28086

  Pressure according to Hertz   po =  N/mm² po all =  N/mm²
  Maximum stress in eyelet head   σtot =  N/mm² σall =  N/mm²
  Maximum stress in eyelet at weld   σ⊥ max =  N/mm² σall =  N/mm²
  Maximum stress in connection weld   σaV max =  N/mm² σaV all =  N/mm²
 

Results acc. to Pressure Vessel Design Manual

  Pressure according to Hertz   po =  N/mm² po all =  N/mm²
  Maximum stress in eyelet head   σtot =  N/mm² σall =  N/mm²
  Maximum stress in eyelet at weld   σ⊥ max =  N/mm² σall =  N/mm²
  Maximum stress in connection weld   σaV max =  N/mm² σaV all =  N/mm²
 

Results acc. to alternative algorithms

  Bearing stress   po =  N/mm² po all =  N/mm²
  Maximum stress in eyelet head   σtot =  N/mm² σall =  N/mm²
  Maximum stress in eyelet at weld   σ⊥ max =  N/mm² σall =  N/mm²
  Maximum stress in connection weld   σaV max =  N/mm² σaV all =  N/mm²
 

Attachments

  1. Sketch
 
 
  2. Stresses in eyelet at weld
 
β σM σF τ σ⊥
Table terms:
β—inclination angle
σM—stress due to bending load, N/mm²
σF—stress due to tension load, N/mm²
τ—shear stress, N/mm²
σ⊥—stress intensity in eyelet at weld, N/mm²
 
  3. Stresses in connection weld
 
β σM σF τ σaV
Table terms:
β—inclination angle
σM—stress due to bending load, N/mm²
σF—stress due to tension load, N/mm²
τ—shear stress, N/mm²
σaV—stress intensity in connection weld, N/mm²
 
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