A large, rigid, rectangular billboard is supported by an elastic column as shown in the figure below. There is concern about the deflection, õ, of the top of the structure during a high wind of velocity V. A wind tunnel test is to be conducted with a 1:14 scale model. Assume the pertinent column variables are its length and cross-sectional dimensions, and the modulus of elasticity of the material used for the column. The only important "wind" variables are the air density and velocity. (a) Determine the model design conditions with parameters: V - wind velocity, E - modulus of elasticity, p - air density, I- length of the column, /; - other lengths of billboard and (b) the prediction equation for the deflection. (c) If the same structural materials are used for the model and prototype, and the wind tunnel operates under standard atmospheric conditions, what is the required wind tunnel velocity to match an 80 km/hr wind? Billboard Front View Side View (a) (4) O Pm (Vm)? pV lim Em E'1 O Pm (Vm)? lim Em E Por(Vm)? Em lim = E'1 O Pm (Vm) pV lim 14 Em E'I (b) öm il %3D (c) Vm i km/hr =

A large, rigid, rectangular billboard is supported by an elastic column as shown in the figure below. There is concern about the deflection, õ, of the top of the structure during a high wind of velocity V. A wind tunnel test is to be conducted with a 1:14 scale model. Assume the pertinent column variables are its length and cross-sectional dimensions, and the modulus of elasticity of the material used for the column. The only important "wind" variables are the air density and velocity. (a) Determine the model design conditions with parameters: V - wind velocity, E - modulus of elasticity, p - air density, I- length of the column, /; - other lengths of billboard and (b) the prediction equation for the deflection. (c) If the same structural materials are used for the model and prototype, and the wind tunnel operates under standard atmospheric conditions, what is the required wind tunnel velocity to match an 80 km/hr wind? Billboard Front View Side View (a) (4) O Pm (Vm)? pV lim Em E'1 O Pm (Vm)? lim Em E Por(Vm)? Em lim = E'1 O Pm (Vm) pV lim 14 Em E'I (b) öm il %3D (c) Vm i km/hr =

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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A large, rigid, rectangular billboard is supported by an elastic column as shown in the figure below. There is concern about the
deflection, Ō, of the top of the structure during a high wind of velocity V. A wind tunnel test is to be conducted with a 1:14 scale
model. Assume the pertinent column variables are its length and cross-sectional dimensions, and the modulus of elasticity of the
material used for the column. The only important "wind" variables are the air density and velocity. (a) Determine the model design
conditions with parameters: V - wind velocity, E- modulus of elasticity,p - air density, I- length of the column, /; - other lengths of
billboard and (b) the prediction equation for the deflection. (c) If the same structural materials are used for the model and prototype,
and the wind tunnel operates under standard atmospheric conditions, what is the required wind tunnel velocity to match an 80
km/hr wind?
Billboard
Front View
Side View
(a)
(4)
O Pm (Vm)?
pV lim
Em
E'l
O Pu (Vm)²
lim
Em
E
Por(Vm)²
Em
lim
=
E'1
O Pm (Vm)²
pV lim
Em
E'I
(b) õm
il
%3D
(c) Vm
i
km/hr
=

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