The suspension bunker is made from plates which are curved to the natural shape which a completely flexible membrane would take if subjected to a full load of coal. This curve may be approximated by a parabola, y/b = (x/a)². Determine the weight of coal which the bunker would contain when completely filled. Coal has a specific weight of γ and assumes there is a fraction loss p in volume due to air voids. Solve the problem by integration to determine the cross-sectional area of ABC; then use the second theorem of Pappus–Guldinus to find the volume.

Units Used:

kip = 10³ lb

Given:

a = 10 ft

b = 20 ft

γ = 50lb/ft³

p = 0.2

Transcribed Image Text:

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