11.3-1 A hollow circular post ABC (see figure) supports aload 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 the12 mm, dBc 57 mm, and=ABpost are dB = 32 mm, TABtBC = 9 mm, respectively.=t(a) Calculate the normal stress AB in the upper partoof the post.(b) If it is desired that the lower part of the post havethe same compressive stress as the upper part, what shouldbe 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. 1.3-1BCAP₁TAB-dABP₂dBctBC

###Determination for hollow Circular post ### Parta) Normal Stress in part AB Partb) if Normal…

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. =

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

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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

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