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For example, the absolute pressure compared to vacuum is p = ρ g Δ z + p 0 , {\displaystyle p=\rho g\Delta z+p_{\mathrm {0} },} where Δ z {\displaystyle \Delta z} is the total height of the liquid column above the test area to the surface, and p 0 is the atmospheric pressure , i.e., the pressure calculated from the remaining integral over ...
Consider two wells, X and Y. Well X has a measured depth of 9,800 ft and a true vertical depth of 9,800 ft while well Y has measured depth of 10,380 ft while its true vertical depth is 9,800 ft. To calculate the hydrostatic pressure of the bottom hole, the true vertical depth is used because gravity acts (pulls) vertically down the hole. [2]
In continuum mechanics, hydrostatic stress, also known as isotropic stress or volumetric stress, [1] is a component of stress which contains uniaxial stresses, but not shear stresses. [2] A specialized case of hydrostatic stress contains isotropic compressive stress, which changes only in volume, but not in shape. [ 1 ]
The main loads for which an arch dam is designed are: [1] [12] Dead load; Hydrostatic load generated by the reservoir and the tailwater; Temperature load; Earthquake load; Other miscellaneous loads that affect a dam include: ice and silt loads, and uplift pressure. [1] [12] The Idukki Dam in Kerala, India.
Tertiary strength and loads are the forces, strength, and bending response of individual sections of hull plate between stiffeners, and the behaviour of individual stiffener sections. Usually the tertiary loading is simpler to calculate: for most sections, there is a simple, maximum hydrostatic load or hydrostatic plus slamming load to calculate.
Example: For a column of fresh water of 8.33 pounds per gallon (lb/U.S. gal) standing still hydrostatically in a 21,000 feet vertical cased wellbore from top to bottom (vertical hole), the pressure gradient would be grad(P) = pressure gradient = 8.33 / 19.25 = 0.43273 psi/ft. and the hydrostatic bottom hole pressure (BHP) is then
In continuum mechanics, the Michell solution is a general solution to the elasticity equations in polar coordinates (,) developed by John Henry Michell in 1899. [1] The solution is such that the stress components are in the form of a Fourier series in .
To ensure incompressibility of a hyperelastic material, the strain-energy function can be written in form: = where the hydrostatic pressure functions as a Lagrangian multiplier to enforce the incompressibility constraint.