QB.57. A square tied column with a side dimension of 420 mm is reinforced with 8-20 mm dia. bars distributed equally on all faces. The column is subjected to factored end moments of 609 and 630 kN-m without causing a sidesway. It carries an ultimate axial load of 1002 kN. The column has an unsupported height of 4.4 m. Use f'c = 22 MPa. Assume k = 1. Answer the following: (1) What is the relative stiffness (or El) of the column expressed in N-mm^2. (2) Calculate the moment magnifier factor if the column is bent in single curvature. (3) Compute the design moment of the column.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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QB.57. A square tied column with a side dimension of 420 mm is reinforced with 8- 20 mm dia. bars distributed equally on all faces.
The column is subjected to factored end moments of 609 and 630 kN-m without causing a sidesway. It carries an ultimate axial load
of 1002 kN. The column has an unsupported height of 4.4 m. Use f'c = 22 MPa. Assume k = 1. Answer the following: (1) What is the
relative stiffness (or El) of the column expressed in N-mm^2. (2) Calculate the moment magnifier factor if the column is bent in
single curvature. (3) Compute the design moment of the column.
Transcribed Image Text:QB.57. A square tied column with a side dimension of 420 mm is reinforced with 8- 20 mm dia. bars distributed equally on all faces. The column is subjected to factored end moments of 609 and 630 kN-m without causing a sidesway. It carries an ultimate axial load of 1002 kN. The column has an unsupported height of 4.4 m. Use f'c = 22 MPa. Assume k = 1. Answer the following: (1) What is the relative stiffness (or El) of the column expressed in N-mm^2. (2) Calculate the moment magnifier factor if the column is bent in single curvature. (3) Compute the design moment of the column.
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