5/22/2023 0 Comments Forces on curved survacesConsider an elemental area da of the lamina at a depth y below the free liquid surface. 3.66 shows a lamina of area A immersed in a liquid and making an angle θ with the horizontal water surface. Centre of Pressure for an Inclined Lamina:įig. The pressure intensity being not uniform (being greater at greater depth), the resultant pressure will act at a point C below the centroid of the lamina.ģ. If the pressure intensity on the lamina had been uniform the resultant pressure would act at G, the centroid of the lamina. The resultant pressure P on an immersed lamina will act at a point C called the centre of pressure. On any lamina in a liquid body, the intensity of pressure will not be uniform, and the pressure intensity at any point depends on the depth of the point below the free surface. Where y̅ = depth of the centroid of the lamina below the free surface. ∴ Total Pressure force on the whole lamina = P = Σw day = w Σday = w A y̅. Pressure force on the elemental area = p da = wy da Intensity of pressure on the elemental area = p = wy Consider a lamina of area A immersed in a liquid of specific weight w.
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