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 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are h x = 20 ft, / r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e is specified as one-tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7500 psi in the aluminum. (b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.
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 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are h x = 20 ft, / r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e is specified as one-tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7500 psi in the aluminum. (b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.
Solution Summary: The author explains the minimum required diameter of the poles based upon the allowable bending stress.
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 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are hx= 20 ft, /r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e is specified as one-tenth the outside diameter d.
(a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7500 psi in the aluminum.
(b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.
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 70 lb/ft^2 against the full area of the sign. The dimensions of the poles and sign are h1 = 16 ft, h2 = 7 ft, and b = 13 ft. To prevent buckling of the walls of the poles, the thickness t is specified as one tenth the outside diameter d.
(a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7100 psi in the aluminum. Round your answer to two decimal places.
d = ___ in.
(b) Determine the minimum required diameter based upon an allowable shear stress of 2100 psi. Round your answer to two decimal places.
d = ___ in.
SEATWORK
The steel strut transmits a compressive
force P=75 kN as shown in the figure. The
strut has a hallow cross section with a
thickness of 12 mm, and the angle 0
between the strut and the horizontal and
the horizontal plane is 45°. An 18-mm
diameter pin through the strut transmits
the compressive force to two gusset plates
Pin
that are welded to the base. Four 20-mm
diameter bolts anchor the plate to
concrete. The thickness of the gusset is 16
mm. The thickness of the base plate is 16
Gusset,
Strut
Base plate
Bolts
mm.
Calculate the following.
a. The bearing stress between the pin and the gusset.
b. The shearing stress in the bolts.
The bearing stress between the anchor bolts and the base plate.
с.
Strut
Problem 7.34
Consider the two-member frame shown in (Figure 1)
Suppose that w = 2.6 kN/m, w = 1.9 kN/m Follow
the sign convention.
Figure
-1.5m
-1.5m
15m
1.5m
1 of 1
Part A
Determine the normal force at point E.
Express your answer to three significant figures and include the appropriate units.
NE- Value
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Part B
Determine the shear force at point E
Express your answer to three significant figures and include the appropriate units.
VE =
Part C
HA
Value
Mg Value
Submit
Units
Heavest Answ
Determine the magnitude of the moment at point E.
Express your answer to three significant figures and include the appropriate units.
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