2.3-10 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 P 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 8c of the two columns due to the combined action of the loads P₁ and P₂. (b) How much additional load P, can be placed at the top of the column (point C) if the total shortening 8C is not to exceed 4.0 mm? P₁ = 400 KN P₂=720 kN B L = 3,75 m L = 3.75 m

2.3-10 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 P 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 8c of the two columns due to the combined action of the loads P₁ and P₂. (b) How much additional load P, can be placed at the top of the column (point C) if the total shortening 8C is not to exceed 4.0 mm? P₁ = 400 KN P₂=720 kN B L = 3,75 m L = 3.75 m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.4.12P: The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end...

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