Example 12.4 Given: A 1/20 scale model of a high-rise building is tested in a wind tunnel. The drag force of the model on the rectangular face is measured to be 200 N for a wind speed of 20 m/s. Find: The drag force on the prototype building in a 40 m/s wind velocity using the drag coefficient conservation. Note: prototype height=3w. Tair = constant Match force coefficients. CFP F₂ Fm F₂ F₂ = = = 1x = = = CFm Pp Pm = (2)'()* Lm. 40 m/s 20 m/s 1600 1600 × Fm 1600 × 200 N 320 kN 20² K W. Prototype Vm Model
Example 12.4 Given: A 1/20 scale model of a high-rise building is tested in a wind tunnel. The drag force of the model on the rectangular face is measured to be 200 N for a wind speed of 20 m/s. Find: The drag force on the prototype building in a 40 m/s wind velocity using the drag coefficient conservation. Note: prototype height=3w. Tair = constant Match force coefficients. CFP F₂ Fm F₂ F₂ = = = 1x = = = CFm Pp Pm = (2)'()* Lm. 40 m/s 20 m/s 1600 1600 × Fm 1600 × 200 N 320 kN 20² K W. Prototype Vm Model
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Please explain the model and calculations
![Example 12.4
Given: A 1/20 scale model of a high-rise building is tested in a wind
tunnel. The drag force of the model on the rectangular face is
measured to be 200 N for a wind speed of 20 m/s.
Find: The drag force on the prototype building in a 40 m/s wind
velocity using the drag coefficient conservation. Note: prototype
height=3w. Tair= constant
Match force coefficients
CFP
F₂
Fm
F₂
F₂
= CFm
=
= 1x
=
=
=
Pp
22 (2)' (2) ²
Lm.
Pm
=
40 m/s
20 m/s
1600
1600 × Fm
1600 × 200 N
320 kN
20²
K
W.
Prototype
Vm
Model](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0eb5e417-4691-48dc-9dc1-20176b60ebe9%2F569f03fa-1985-4e65-a811-c37225884f4d%2F6eegabh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example 12.4
Given: A 1/20 scale model of a high-rise building is tested in a wind
tunnel. The drag force of the model on the rectangular face is
measured to be 200 N for a wind speed of 20 m/s.
Find: The drag force on the prototype building in a 40 m/s wind
velocity using the drag coefficient conservation. Note: prototype
height=3w. Tair= constant
Match force coefficients
CFP
F₂
Fm
F₂
F₂
= CFm
=
= 1x
=
=
=
Pp
22 (2)' (2) ²
Lm.
Pm
=
40 m/s
20 m/s
1600
1600 × Fm
1600 × 200 N
320 kN
20²
K
W.
Prototype
Vm
Model
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