A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 3.2 kPa against the full area of the sign. The dimensions of the poles and sign are hy = 16.0 m. hz = 4.0 m, and b = 8.0 m. To prevent buckling of the walls of the poles, the thickness t is specified as one tenth the outside diameter d. Wind (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 45 MPa in the aluminum. Round to the nearest whole number. mm (b) Determine the minimum required diameter based upon an allowable shear stress of 13 MPa. Round to one decimal place. mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 3.2 kPa against the full area of the sign. The dimensions of the poles and sign are hi = 16.0 m, h2 = 4.0 m, and b = 8.0 m. To prevent
buckling of the walls of the poles, the thickness t is specified as one tenth the outside diameter d.
Wind
load
P
(a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 45 MPa in the aluminum. Round to the nearest whole number.
d =
mm
(b) Determine the minimum required diameter based upon an allowable shear stress of 13 MPa. Round to one decimal place.
d =
mm
Transcribed Image Text:A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 3.2 kPa against the full area of the sign. The dimensions of the poles and sign are hi = 16.0 m, h2 = 4.0 m, and b = 8.0 m. To prevent buckling of the walls of the poles, the thickness t is specified as one tenth the outside diameter d. Wind load P (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 45 MPa in the aluminum. Round to the nearest whole number. d = mm (b) Determine the minimum required diameter based upon an allowable shear stress of 13 MPa. Round to one decimal place. d = mm
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