Given: A billboard experiences a wind load of 50 kN centered on the face of the billboard The billboard weighs 3000 kg The dimensions on the diagram are: O A = 2-meters O ● ● ● ● ● B = 10-meters O C = 15-meters O D = 20-meters The post is hollow steel with an outside diameter of 1- meter The post has a wall thickness of 0.01-meters The post has a Young's modulus of 200 GPa The post is fixed at the bottom Assume the post has negligible wind load and weight Neglect bending and transverse shear stresses Find: NOTE: Report answer with 4 sig-figs. Failure to follow these units and decimals will result in lost points. Normal stress in the post (magnitude) Shear stress in the post (magnitude) Principal stresses Max in-plane shear stress Max absolute shear stress 01 = 02= 63 = (MPa) (MPa) (MPa) (MPa) (MPa) (MPa) (MPa) B A Post Billboard C D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Given:
A billboard experiences a wind load of 50 kN centered on the face of the billboard
The billboard weighs 3000 kg
The dimensions on the diagram are:
O A = 2-meters
●
o
B 10-meters.
o C= 15-meters
O D
20-meters.
●
The post is hollow steel with an outside diameter of 1- meter
The post has a wall thickness of 0.01-meters
The post has a Young's modulus of 200 GPa
The post is fixed at the bottom
Assume the post has negligible wind load and weight
• Neglect bending and transverse shear stresses
Find:
NOTE: Report answer with 4 sig-figs.
Failure to follow these units and decimals will result in lost points.
Normal stress in the post
(magnitude)
Shear stress in the post
(magnitude)
Principal stresses
Max in-plane shear stress
Max absolute shear stress
o1 =
02 =
63 =
(MPa)
(MPa)
(MPa)
(MPa)
(MPa)
(MPa)
(MPa)
B
Post
Billboard
C D
Transcribed Image Text:Given: A billboard experiences a wind load of 50 kN centered on the face of the billboard The billboard weighs 3000 kg The dimensions on the diagram are: O A = 2-meters ● o B 10-meters. o C= 15-meters O D 20-meters. ● The post is hollow steel with an outside diameter of 1- meter The post has a wall thickness of 0.01-meters The post has a Young's modulus of 200 GPa The post is fixed at the bottom Assume the post has negligible wind load and weight • Neglect bending and transverse shear stresses Find: NOTE: Report answer with 4 sig-figs. Failure to follow these units and decimals will result in lost points. Normal stress in the post (magnitude) Shear stress in the post (magnitude) Principal stresses Max in-plane shear stress Max absolute shear stress o1 = 02 = 63 = (MPa) (MPa) (MPa) (MPa) (MPa) (MPa) (MPa) B Post Billboard C D
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