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Wind blows on the side of a fully enclosed hospital located on open flat terrain where V= 120 mi/h. Determine the external pressure acting on the leeward wall, if the length and width of the building are 200 ft and the height is 30 ft. Take Ke 1.0.

Answer :

Answer:

The external pressure is p = -21.9 psf or p = -8.85 psf

Explanation:

Given :

Velocity of wind, v = 120 mi / hr

[tex]$k_d = k_c =1 $[/tex]   (wind direction factor)

[tex]$k _{zt} = 1 $[/tex]  = topographical factor (for flat terrain)

[tex]$ q_n$[/tex] = velocity pressure at height h

[tex]$ \therefore q_n = 0.00256 k_z k_{zt} k_d v^2 $[/tex]

[tex]$ q_n = 0.00256 \times k_z (1)(1)(120)^2 $[/tex]

    [tex]$ = 36.86 k_z$[/tex]

But for height h = 30 ft, [tex]$ k_z$[/tex] = 0.98 (from table)

[tex]$ \therefore q_n = 36.86 \times 0.98 $[/tex]

        = 36.16

Now, [tex]$ \frac{L}{B}= \frac{200}{200} =1$[/tex] ,   so [tex]$C_p=-0.5 $[/tex] (from table)

[tex]$p = q(G)(C_p)-q_n(GC_{pi})$[/tex]

where, p = external pressure

            G = 0.85 = gust factor (for typical rigid building)

            [tex]$GC_{pi} = \pm 0.18 $[/tex]   (internal pressure co efficient)

Therefore putting the values,

[tex]$p = (36.13)(0.85)(-0.5)-(36.13)(\pm 0.18)$[/tex]

p = -21.9 psf or p = -8.85 psf

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