fluid force on vertical side of tank the weight density of water is 62.4 trapezoid

(2.20) can be expanded into a series: Multiply by pa, as in Eq.

(2.20), into a power series and show that the linear approximation p ≈ pa - ρa g z is adequate when Solution: The power-law term in Eq. P2.4 For gases over large changes in height, the linear approximation, Eq. The applied pressure is estimated to be p = γhpress = (9790 N/m3)(0.22 m) ≈ 2160 Pa Ans. The capillary rise in the tube, from Example 1.9 of the text, is 3 2Y cos 2(0.073 / )cos(0 ) 0.030 m (9790 / )(0.0005 )cap N mh R N m m θ γ ° = Then the rise due to applied pressure is less by that amount: hpress = 0.25 m − 0.03 m = 0.22 m. Solution: For water, let Y = 0.073 N/m, contact angle θ = 0°, and γ = 9790 N/m3. After correcting for surface tension, estimate the applied pressure in Pa. When a pressure is applied, water at 20☌ rises into the tube to a height of 25 cm. 2.3 A vertical clean glass piezometer tube has an inside diameter of 1 mm.

2.1 can also be solved using Mohr’s circle. Fluid Mechanics, Fifth Edition xySolve for (25)/0.866 (a)Ans.σ = − − ≈ − 2289 lbf/ft In like manner, solve for the shear stress on plane AA, using our result for σxy: t,AA AAF L (2000 cos30 289sin 30 )L sin 30 (289cos30 3000sin 30 )L cos30 0 τ∑ = − ° + ° ° + ° + ° ° = AASolve for 938 1515 (b)Ans.τ = − ≈ − 2577 lbf/ft This problem and Prob.Solution: Sum forces normal to and tangential to AA in the element freebody above, with σn(AA) known and σxy unknown: n,AA xy xy F 2500L ( cos30 2000sin30 )Lsin30 ( sin30 3000cos30 )L cos30 0 σ σ ∑ = − ° + ° ° − ° + ° ° = 72 Solutions Manual Compute σxy and the shear stress on plane AA. (b)Ansτ ≈ 2683 lbf/ft 2.2 For the stress field of Fig.

Now sum forces normal and tangential to side AA.

Solution: Make cut “AA” so that it just hits the bottom right corner of the element. P2.1, let xx y圓0 psfσ σ= xy 500 psfσ = Find the shear and normal stresses on plane AA cutting through at 30°.

Pressure Distribution in a Fluid 2.1 For the two-dimensional stress field in Fig.

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Fluid force on vertical side of tank the weight density of water is 62.4 trapezoid