Solved: In the design of weldments in torsion it is

Chapter 9, Problem 9-32

(choose chapter or problem)

In the design of weldments in torsion it is helpful to have a hierarchical perception of the relative efficiency of common patterns. For example, the weld-bead patterns shown in Table 9-1 can be ranked for desirability. Assume the space available is an \(a \times a\) square. Use a formal figure of merit that is directly proportional to J and inversely proportional to the volume of weld metal laid down:

\(\text { fom }=\frac{J}{\text { vol }}=\frac{0.707 h J_u}{\left(h^2 / 2\right) l}=1.414 \frac{J_u}{h l}\)

A tactical figure of merit could omit the constant, that is, fom' \(=J_u /(h l)\). Rank the six patterns of Table 9-1 from most to least efficient.