BIEN 301 Individual Project Presentation Hydrostatic Force Against A Dam Scott C. Laura.

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Presentation transcript:

BIEN 301 Individual Project Presentation Hydrostatic Force Against A Dam Scott C. Laura

Hydrostatic Force: The pressure force related to the weight of a fluid bearing on a surface No motion in the fluid Sum of forces = zero

Need to Know Values

Horizontal Component, Fh The horizontal component of force on a curved surface equals the force on the plane area formed by the projection of the curved surface onto a vertical plane normal to the component. The force in the x direction can be thought of as a resistance to shear stress Δx

Fh has a line of action below the centroid (0,0) onto the point ycp Actually Z

Z Add Mag of Ycp To ½ Z Below The Surface = X Y

Vertical Component, Fv The vertical component of force on a curved surface equals the weight of the effective column of fluid necessary to cause the pressure on the surface. Force at any point is equal to the sum of all the above weights Δz + Patm

The force acts downward through the centroid

Problem # 2.82 Determine the horizontal and vertical components of the hydrostatic force against the dam and the point (CP) where the resultant strikes the dam. Fig. P2.82 Water 20 m CP Pa = 0 50 m

Assumptions: Hydrostatic – water is not moving Uniform Density Incompressible 20 degrees

Given: H = 20 meters L = 20 meters W = 50 meters pa = 0 Quarter Circle in shape Water Dam

Approach: Hydrostatic Forces On Curved Surfaces Calculate Fh Calculate Ycp Calculate Fv Calculate the x value of the centroid Find the resultant force

Resultant: Tan-1(153.8/97.9) = 57.5°

ө

BME Application Hydrostatic force is a vital concept in estimating our body’s conditions From headaches to keeping us alive through diffusion and osmosis Our body can even sense when we need to urinate by the pressure within the bladder