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The high domes of ancient buildings have...

The high domes of ancient buildings have structural value (besides beauty). It arises from pressure difference on the 2 faces due to curvature (as in soap bubbles). There is a dome of radius 5 m and uniform (but small ) thickness. The surface tension of its masonry structure is about 500 N/m. Treated as hemispherical, the maximum load that the dome can support is nearest to

A

`1500kg-Wt`

B

`3000kg-Wt`

C

`6000kg-Wt`

D

`12000kg-Wt`

Text Solution

Verified by Experts

The correct Answer is:
B
`DeltaP=(4T)/(r)`
Maximum load that can be supported by the dome
`=(DeltaP)pir^(2)=(4T)/(R)xxpiR^(2)=4piTR`
`=4xx(22)/(7)xx500xx5=31400N`
`approx3000kgWt` (nearly)
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