Prob. 3.4-2. A column in a two-story building is fabricated from square structural steel tubing having a modulus of elas- ticity E = 210 GPa. The cross-sectional dimensions of the two segments are shown in Fig. P3.4-2b. Axial loads PA 200 kN and PB = 300 kN are applied to the column at levels A and B, as shown in Fig. P3.4-2a. (a) Determine the axial stress σ₁ in segment AB of the column and the axial stress ₂ in segment BC of the column. (b) Determine the amount 8 by which the column is shortened. PA = 200 KN ST (1) PB = 300 KN (a) 3 m B 3 m t₁ = 8 mm t₂ = 12 mm P3.4-2 ,150 mm 200 mm (b) = 1 150 mm 200 mm

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Prob. 3.4-2. A column in a two-story building is fabricated
from square structural steel tubing having a modulus of elas-
ticity E = 210 GPa. The cross-sectional dimensions of the
two segments are shown in Fig. P3.4-2b. Axial loads PA
200 kN and PB = 300 kN are applied to the column at levels
A and B, as shown in Fig. P3.4-2a. (a) Determine the axial
stress σ₁ in segment AB of the column and the axial stress
₂ in segment BC of the column. (b) Determine the amount
8 by which the column is shortened.
PA = 200 KN
5
PB =
(1)
= 300 KN
(a)
3 m
B
3 m
t₁ = 8 mm
t₂ = 12 mm
P3.4-2
150 mm,
200 mm
(b)
=
1
150 mm
200 mm
Transcribed Image Text:Prob. 3.4-2. A column in a two-story building is fabricated from square structural steel tubing having a modulus of elas- ticity E = 210 GPa. The cross-sectional dimensions of the two segments are shown in Fig. P3.4-2b. Axial loads PA 200 kN and PB = 300 kN are applied to the column at levels A and B, as shown in Fig. P3.4-2a. (a) Determine the axial stress σ₁ in segment AB of the column and the axial stress ₂ in segment BC of the column. (b) Determine the amount 8 by which the column is shortened. PA = 200 KN 5 PB = (1) = 300 KN (a) 3 m B 3 m t₁ = 8 mm t₂ = 12 mm P3.4-2 150 mm, 200 mm (b) = 1 150 mm 200 mm
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