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

Elements Of Electromagnetics
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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 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 & Ac of the two columns due to
d AC
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 8C is not to exceed 4.0 mm?
P₁ = 400 KN
P₂= 720 kN
B
L = 3,75 m
L = 3.75 m
Transcribed Image Text: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 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 & Ac of the two columns due to d AC 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 8C is not to exceed 4.0 mm? P₁ = 400 KN P₂= 720 kN B L = 3,75 m L = 3.75 m
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