A model test of a tractor-trailer platform is carried out in a wind tunnel. The drag force, FD, is found to depend on the frontal area A, the wind speed V, the air density p, and the air viscosity u. The scale of the model is 1: 4; The front area of the model is 7 ft2. Obtain a set of dimensionless parameters suitable for characterizing the model test results. Indicate the conditions necessary to obtain dynamic similarity between the model and prototype flows. When tested at a wind speed V = 300 ft / s in standard air, the drag force measured on the model was FD = 550 Ibf. Assuming dynamic similarity, estimate the aerodynamic drag force on the large-scale vehicle at V = 75 ft / s. Calculate the power required to overcome this drag force if there is no wind.

A model test of a tractor-trailer platform is carried out in a wind tunnel. The drag force, FD, is found to depend on the frontal area A, the wind speed V, the air density p, and the air viscosity u. The scale of the model is 1: 4; The front area of the model is 7 ft2. Obtain a set of dimensionless parameters suitable for characterizing the model test results. Indicate the conditions necessary to obtain dynamic similarity between the model and prototype flows. When tested at a wind speed V = 300 ft / s in standard air, the drag force measured on the model was FD = 550 Ibf. Assuming dynamic similarity, estimate the aerodynamic drag force on the large-scale vehicle at V = 75 ft / s. Calculate the power required to overcome this drag force if there is no wind.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

A model test of a tractor-trailer platform is carried out
in a wind tunnel. The drag force, FD, is found to
depend on the frontal area A, the wind speed V, the
air density p, and the air viscosity u. The scale of the
model is 1: 4; The front area of the model is 7 ft2.
Obtain a set of dimensionless parameters suitable for
characterizing the model test results. Indicate the
conditions necessary to obtain dynamic similarity
between the model and prototype flows. When
tested at a wind speed V = 300 ft / s in standard air,
the drag force measured on the model was FD = 550
Ibf. Assuming dynamic similarity, estimate the
aerodynamic drag force on the large-scale vehicle at
V = 75 ft / s. Calculate the power required to
overcome this drag force if there is no wind.
%3D

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