7.4-17 A sign is supported by a pole of hollow circular cross section, as shown in the figure. The outer and inner diameters of the pole are 10.5 in. and 8.5 in., respectively. The pole is 42 ft high and weighs 4.0 k. The sign has dimensions 8 ft × 3 ft and weighs 500 lb. Note that its center of gravity is 53.25 in. from the axis of the pole. The wind pressure against the sign is 35 lb/ft². (a) Determine the stresses acting on a stress element at point A, which is on the outer surface of the pole at the "front" of the pole, that is, the part of the pole nearest to the viewer. (b) Determine the maximum tensile, compressive, and shear stresses at point A. -8 ft- Hilda's Office 3 ft -10.5 in:- 42 ft +8.5 in.- X|X A A Section X-X

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.12.11P: A cylindrical brick chimney of height H weighs w = 825 lb/ft of height (see figure). The inner and...
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7.4-17 A sign is supported by a pole of hollow
circular cross section, as shown in the figure. The outer
and inner diameters of the pole are 10.5 in. and 8.5 in.,
respectively. The pole is 42 ft high and weighs 4.0 k.
The sign has dimensions 8 ft × 3 ft and weighs 500 lb.
Note that its center of gravity is 53.25 in. from the axis
of the pole. The wind pressure against the sign is 35 lb/ft².
(a) Determine the stresses acting on a stress element at
point A, which is on the outer surface of the pole at the
"front" of the pole, that is, the part of the pole nearest to the
viewer.
(b) Determine the maximum tensile, compressive, and
shear stresses at point A.
-8 ft-
Hilda's Office
3 ft
-10.5 in-
42 ft
-8.5 in.-
A
A
Section X-X
Transcribed Image Text:7.4-17 A sign is supported by a pole of hollow circular cross section, as shown in the figure. The outer and inner diameters of the pole are 10.5 in. and 8.5 in., respectively. The pole is 42 ft high and weighs 4.0 k. The sign has dimensions 8 ft × 3 ft and weighs 500 lb. Note that its center of gravity is 53.25 in. from the axis of the pole. The wind pressure against the sign is 35 lb/ft². (a) Determine the stresses acting on a stress element at point A, which is on the outer surface of the pole at the "front" of the pole, that is, the part of the pole nearest to the viewer. (b) Determine the maximum tensile, compressive, and shear stresses at point A. -8 ft- Hilda's Office 3 ft -10.5 in- 42 ft -8.5 in.- A A Section X-X
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