A wooden storage vat, 20 ft in outside diameter, is filled with 24 ft of brine, sp gr 1.06. The wood staves are bound by flat steel bands, 2 in wide by 1/4 in thick, whose allowable stress is 16,000 psi. What is the spacing of the bands near the bottom of the vat, neglecting any initial stress? Ref stress? Refer to Fig. 3-16.

Question

A wooden storage vat, 20 ft in outside diameter, is filled with 24 ft of brine, sp gr 1.06. The wood staves are bound by flat steel bands, 2 in wide by [latex]\frac{1}{4} [/latex] in thick, whose allowable stress is 16,000 psi. What is the spacing of the bands near the bottom of the vat, neglecting any initial stress? Refer to Fig. 3-16.

Accepted Answer

Force P represents the sum of all horizontal components of small forces d P acting on length y of the vat, and forces T represent the total tension carried in a band loaded by the same length y. Since the sum of the forces in the X direction must be zero, 2T (Ib) — P (Ib) = 0, or

(2) (area steel x stress in steel) = p x Z projection of semicylinder

Then (2) (2 x [latex]\frac{1}{4} [/latex]) (16,000) = (1.06 x 62.4 x 24/144)(20 x 12y)

and y = 6.05 in spacing of bands

Question 3.18: A wooden storage vat, 20 ft in outside diameter, is filled w...

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