The high domes of ancient buildings have structural value. It arises from pressure difference on the two faces dur to curvature (as in soap bubbles). There is a dome of radius 5m and uniform thickness. The surface tension of its masonry structure is about 500 Nm^(-1). Treated as hemispherical, calculate the maximum load the done can support.

The high domes of ancient buildings have structural value. It arises f

1.	The high domes of ancient buildings have structural value. It arises from pressure difference on the two faces dur to curvature (as in soap bubbles). There is a dome of radius 5m and uniform thickness. The surface tension of its masonry structure is about 500 Nm^(-1). Treated as hemispherical, calculate the maximum load the done can support.
Answer» Solution :Given `R=5m, T=500Nm^(-1) "Excess pressure P"=(2T)/(R)` but `P=F/A =(2T)/(R)""i.e, F=2 T/R A=(2 XX T xx 2piR^(2))/(R)` `F=4piRT=4 xx 3.142 xx 5 xx 500N` F=31420 N i.e, `F=(31420)/(g)=(31420)/(10)""F=3142kgwt."`