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ME3560 – Equation-sheet. Test I. Relation between Shear Stress and Rate of Shearing Strain: ߬=ߤ ߲ݑ ߲ݕ Manometers: ܲ = ߩ݃ℎ Hydrostatic Forces on Submerged Surfaces: ܨோ = ߩ݃ℎ ܣ ܫ௫ᇱ ݕோ = ݕ + ݕ ܣ For Curved Surfaces: •The vertical force, FV, is the weight of the fluid above the curved surface up to the free surface. •The line of action of FV passes through the centroid of the volume of fluid above the curved surface. •The horizontal force, FH, is determined by projecting the curved surface onto the vertical plane (y–z) and calculating the force that the fluid would exert on this imaginary vertical surface. •The point of application of FH corresponds to the location where the force would act on the imaginary (projection) vertical surface. Additional Relevant Relations: ܲ= ߤ = ߩߥ ݀ܨ ݀ܣ ܸ = ܴ߱ ܶ = ܴܨ Moment of inertia of a Rectangle: ܾℎଷ ܫ௫ᇱ = 12 Moment of Inertia of a Circle: ܫ௫ᇱ = ߨܴ ସ 4 ߛ = ߩ݃