Unformatted text preview: 3.137 This dome (hemisphere) is located below the wa—
ter surface as shown. Determine the magnitude and sign
of the force components needed to hold the dome in place
and the line of action of the horizontal component of
force. Here y1 = 1 m and y2 = 2 m. Assume T = 10°C. "- Atmospheric
pressure 3.137 Information and assumptions provided in problem statement ‘
Find , , , magnitude and direction of force to_ hold dome in place.
Solution F A rﬁ
FH = (1 + 1)9,810 x 7r x (1) = 61,640 N : 61.64 kN 61.64 kN force will act horizontally to the left to hold the dome in place. (ycp— y): I/yA: (71' x 14/4)/(2 x 7r x 12) = 0.125 m The line of action lies 0.125 m below the center of curvature of the dome. FV= 1 2 47rx13/3)9,810= 20, 550N =_2___0.55kN To be applied downward to hold the dome' in place. ...
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- Fall '10