10m Stresses in Beams: Part 1 39 X +y 2m Sign Mechanical Engineering Mechanics of Materials 2 (a) Wind pressure of 2 kPa 0.25m 0.2m = = Section AA C B Z (D.^ - Di^) 64 TL 32 (Do ¹ - D₁¹) Dr PJ Martin Lecture Notes

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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10m
39
X
Stresses in Beams: Part 1
ht
9.5m
A
+y
2m
Sign
Mechanical Engineering
Mechanics of Materials 2
(a) Wind pressure of 2 kPa
X
1m
y
Z
4000
100.9.81
500-9.81
0.25m
0.2m
I =
Section AA
@
B
TT
64
TT
Z
32
4
(D.* -D^)
Do
J (D.^ - Di^)
1 =
Dr PJ. Martin
Lecture Notes
Transcribed Image Text:10m 39 X Stresses in Beams: Part 1 ht 9.5m A +y 2m Sign Mechanical Engineering Mechanics of Materials 2 (a) Wind pressure of 2 kPa X 1m y Z 4000 100.9.81 500-9.81 0.25m 0.2m I = Section AA @ B TT 64 TT Z 32 4 (D.* -D^) Do J (D.^ - Di^) 1 = Dr PJ. Martin Lecture Notes
A sign weighing 100kg is supported by a pole of tubular
section, and is subjected to wind pressure in the z-axis of
2kPa. The pole weighs 500kg.
The resultant forces on the sign due to gravity and wind
pressure can be considered to act at its centroid.
a) Determine the axial force, shear force, bending and twisting
moments at the base of the pole.
b)
Determine the stresses at the base of the pole due to wind
loading alone at points B and C. You may neglect any shear
stresses arising from shear force.
c) Identify where wind loading is most likely to cause the pole
to fail by yielding, and determine the max. in-plane shear
stress at this point.
Transcribed Image Text:A sign weighing 100kg is supported by a pole of tubular section, and is subjected to wind pressure in the z-axis of 2kPa. The pole weighs 500kg. The resultant forces on the sign due to gravity and wind pressure can be considered to act at its centroid. a) Determine the axial force, shear force, bending and twisting moments at the base of the pole. b) Determine the stresses at the base of the pole due to wind loading alone at points B and C. You may neglect any shear stresses arising from shear force. c) Identify where wind loading is most likely to cause the pole to fail by yielding, and determine the max. in-plane shear stress at this point.
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