A two-story building has steel columns ABin the first floor and BC in the second floor, as shownin the figure. The roof load P1 equals 400 kN, and thesecond-floor load P2 equals 720 kN. Each column hasa length L = 3.75 m. The cross-sectional areas of thefirst- and second-floor columns are 11,000 mm2 and3900 mm2, respectively.(a) Assuming that E = 206 GPa, determine thetotal shortening δAC of the two columns due tothe combined action of the loads P1 and P2.(b) How much additional load P0 can be placedat the top of the column (point C ) if the totalshortening δAC is not to exceed 4.0 mm? P = 400 kNL= 3.75 mP2 = 720 kNL= 3.75 mA

The elongation/compression in a member subjected to axial compressive force can be calculated using…

Answered: P = 400 kN L= 3.75 m P2 = 720 kN L=…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A two-story building has steel columns AB
in the first floor and BC in the second floor, as shown
in the figure. The roof load P₁ equals 400 kN, and the
second-floor load P₂ equals 720 kN. Each column has
a length L = 3.75 m. The cross-sectional areas of the
first- and second-floor columns are 11,000 mm² and
3900 mm², respectively.
(a) Assuming that E = 206 GPa, determine the
total shortening δ_AC of the two columns due to
the combined action of the loads P₁ and P₂.
(b) How much additional load P₀ can be placed
at the top of the column (point C ) if the total
shortening δ_AC is not to exceed 4.0 mm?

P = 400 kN
L= 3.75 m
P2 = 720 kN
L= 3.75 m
A

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