Worked example
Inputs: 12 in round duct, 10 ft long, 0.030 in thick, density 490 lb/ft³, zero allowance and a user-supplied price of $2/lb.
Calculation: Bare area is π × 1 ft × 10 ft = 31.416 ft². Sheet thickness is 0.030/12 = 0.0025 ft.
Result: About 38.485 lb and $76.969 of metal under these inputs. A 10% allowance raises weight to 42.333 lb.