Estimate the pressure difference at the top of the building. At the ceiling an opening is provided with the same dimensions as the door. Estimate the mass flow rate of air through the building.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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5.1 The stairwell of a tall building is 30 m high. The temperature inside is 20°C and the
temperature outside is 0°C. The door at floor level is open with dimensions 1 m wide and
2 m high. Assume a flow coefficient C = 0.7.
(a) Estimate the pressure difference at the top of the building.
(b) At the ceiling an opening is provided with the same dimensions as the door. Estimate
the mass flow rate of air through the building.
Suggested answer: (a) AP,
26 Pa; (b) m = 7.8 kg/s
max
5.2 An enclosure has openings at the bottom and at the top, as shown in the figure below.
The height from the floor to the neutral plane is h, and from the neutral plane to the
ceiling h,. The temperatures inside and outside are T, and T, respectively. Show that
h
A,
= K
h,
and give an expression for K.
A2
Tg
HN
A,
5.3 A large enclosure has geometric dimensions indicated by the figure below. The temperature
in the room is 400 K above ambient temperature. A, = A2 = 6 m².
(a) Set up equations for calculation of the height of the neutral plane, taking into account
that the pressure difference varies over the height of the openings. Calculate the
height of the neutral plane.
(b) Calculate the height of the neutral plane, but now assume that the pressure difference
across each opening is constant over the opening height, evaluated at the center of
each opening.
Transcribed Image Text:5.1 The stairwell of a tall building is 30 m high. The temperature inside is 20°C and the temperature outside is 0°C. The door at floor level is open with dimensions 1 m wide and 2 m high. Assume a flow coefficient C = 0.7. (a) Estimate the pressure difference at the top of the building. (b) At the ceiling an opening is provided with the same dimensions as the door. Estimate the mass flow rate of air through the building. Suggested answer: (a) AP, 26 Pa; (b) m = 7.8 kg/s max 5.2 An enclosure has openings at the bottom and at the top, as shown in the figure below. The height from the floor to the neutral plane is h, and from the neutral plane to the ceiling h,. The temperatures inside and outside are T, and T, respectively. Show that h A, = K h, and give an expression for K. A2 Tg HN A, 5.3 A large enclosure has geometric dimensions indicated by the figure below. The temperature in the room is 400 K above ambient temperature. A, = A2 = 6 m². (a) Set up equations for calculation of the height of the neutral plane, taking into account that the pressure difference varies over the height of the openings. Calculate the height of the neutral plane. (b) Calculate the height of the neutral plane, but now assume that the pressure difference across each opening is constant over the opening height, evaluated at the center of each opening.
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