4. 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 length L = 3.75 m. The cross-sectional areas of the first- and second floor columns are 11,000 mm? and 3,900 mm?, respectively. (a) Assuming that E = 206 GPa, determine the total shortening Sac of the two columns due to the combined action of the loads P1 and P2. (b) How much additional load Po can be placed at the top of the column (point C) if the total shortening Sac is not to exceed 4.0 mm? P1 = 400 kN C L = 3.75 m P2 = 720 kN В L = 3,75 m

4. 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 length L = 3.75 m. The cross-sectional areas of the first- and second floor columns are 11,000 mm? and 3,900 mm?, respectively. (a) Assuming that E = 206 GPa, determine the total shortening Sac of the two columns due to the combined action of the loads P1 and P2. (b) How much additional load Po can be placed at the top of the column (point C) if the total shortening Sac is not to exceed 4.0 mm? P1 = 400 kN C L = 3.75 m P2 = 720 kN В L = 3,75 m

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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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 length L = 3.75 m. The cross-sectional areas of the first- and second floor columns are 11,000 mm^2 and 3,900 mm^2, 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?
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