1.3-1 A hollow circular post ABC (see figure) supports a load P₁ = 7.5 kN acting at the top. A second load P₂ is uni- formly distributed around the cap plate at B. The diame- ters and thicknesses of the upper and lower parts of the post are dAB 12 mm, dBc 57 mm, and BC to = BC = 32 mm, t AB 9 mm, respectively. =

Structural Analysis
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Chapter2: Loads On Structures
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1.3-1 A hollow circular post ABC (see figure) supports a
load P₁ = 7.5 kN acting at the top. A second load P₂ is uni-
formly distributed around the cap plate at B. The diame-
ters and thicknesses of the upper and lower parts of the
12 mm, dBc 57 mm, and
=
AB
post are dB = 32 mm, TAB
tBC = 9 mm, respectively.
=
t
(a) Calculate the normal stress AB in the upper part
o
of the post.
(b) If it is desired that the lower part of the post have
the same compressive stress as the upper part, what should
be the magnitude of the load P₂?
Transcribed Image Text:1 1.3-1 A hollow circular post ABC (see figure) supports a load P₁ = 7.5 kN acting at the top. A second load P₂ is uni- formly distributed around the cap plate at B. The diame- ters and thicknesses of the upper and lower parts of the 12 mm, dBc 57 mm, and = AB post are dB = 32 mm, TAB tBC = 9 mm, respectively. = t (a) Calculate the normal stress AB in the upper part o of the post. (b) If it is desired that the lower part of the post have the same compressive stress as the upper part, what should be the magnitude of the load P₂?
(c) If P₁ remains at 7.5 kN and P₂ is now set at 10 kN,
what new thickness of BC will result in the same compres-
sive stress in both parts?
PROB. 1.3-1
B
C
A
P₁
TAB
-dAB
P₂
dBc
tBC
Transcribed Image Text:(c) If P₁ remains at 7.5 kN and P₂ is now set at 10 kN, what new thickness of BC will result in the same compres- sive stress in both parts? PROB. 1.3-1 B C A P₁ TAB -dAB P₂ dBc tBC
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