Abstract
A brief survey of selected literature shows that fabrication aspects play an important role in the economic design of welded structures. Fabrication costs and production requirements should be considered in the optimum design procedure.
In a detailed numerical example some optimal solutions are determined for a simple box beam having transverse diaphragms and carrying a fluctuating load. In the objective function the material and fabrication costs are taken into account. The cost function formula enables the investigation of structural solutions for wide ranges of cost factors.
Constraints on fatigue strength, local buckling of plate elements, shear stress and deflection are considered. Based on the active constraints, the cost function may be expressed as a function of the beam height as the main variable. The minimum cross-sectional area, volume and cost designs are calculated.
Concerning the fillet welds of the transverse diaphragms two solutions are considered: (1) without post treatment with a lower fatigue strength; (2) with post toe burr grinding with improved fatigue strength. In the second case the cost of post treatment is also included in the cost function.
A comparison of the above solutions shows that the post treatment of transverse fillet welds may be economic despite of the additional cost.
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Abbreviations
- A :
-
cross-sectional area
- A f :
-
cross-sectional area of a flange
- a w :
-
fillet weld size
- b :
-
beam width
- c 1 , c2 :
-
distances of diaphragms from the support
- E :
-
modulus of elasticity
- G = ρV :
-
mass
- h :
-
web height
- I x :
-
moment of inertia
- K :
-
total cost
- K m , K f :
-
material and fabrication cost, respectively
- k m , k f :
-
material and fabrication cost factor, respectively
- L :
-
span length
- L w :
-
weld length
- M :
-
bending moment
- N :
-
number of cycles
- n :
-
number of diaphragms
- n 1 :
-
number of diaphragms with post treated welds
- p :
-
intensity of normal load
- Q :
-
shear force
- S x :
-
statical moment
- T :
-
time
- t f , t w /2:
-
flange and web thickness, respectively
- V :
-
volume
- W x :
-
section modulus
- W 0 :
-
required section modulus
- ω :
-
deflection
- β :
-
limiting plate slenderness of webs
- δ :
-
difficulty factor
- δ f :
-
limiting plate slenderness of the compression flange
- ϑ = k f /km :
-
ratio of cost factors
- κ :
-
number of structural elements
- v :
-
Poisson's ratio
- ρ :
-
density
- σ :
-
normal stress
- σ f :
-
fatigue strength
- τ :
-
shear stress
- τ f :
-
fatigue strength in shear
- τ w :
-
shear stress in welds
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Farkas, J. Fabrication aspects in the optimum design of welded structures. Structural Optimization 3, 51–58 (1991). https://doi.org/10.1007/BF01743489
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DOI: https://doi.org/10.1007/BF01743489