A rectangular column is to be constructed with a constant cross-sectional dimensions of 600 mm x 1000 mm. This column is to be constructed with high strength concrete (E = 30 GPa) and internally reinforced with an unknown numbers of steel rods. A single steel rod has E =210 GPa and a constant cross- sectional area of 0.005 m2. Assume complete fixation of the rods within the concrete. The height of the rods is the same as that of the column. Using this information, design columns A and B. %3D

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Column
Rod
A rectangular column is to be constructed with a constant cross-sectional
dimensions of 600 mm x 1000 mm. This column is to be constructed with high
strength concrete (E = 30 GPa) and internally reinforced with an unknown
numbers of steel rods. A single steel rod has E=210 GPa and a constant cross-
sectional area of 0.005 m2. Assume complete fixation of the rods within the
concrete. The height of the rods is the same as that of the column. Using this
information, design columns A and B.
For Column A: How many rods must be embedded into the column so that 1/3 of any axial force
acting on the column is carried by the steel rods, and the rest of the load carried by the concrete?
Solution:
Column A:
s: steel rod
C: concrete
Es=210 GPa
Ec-30 GPa
Total area: A=0.6 m2
Area of 1 rod: a = 0.005 m2
n number nf rods.
11
12
tv
Transcribed Image Text:Downled Page < 8 > of 9 ZOOM + Column Rod A rectangular column is to be constructed with a constant cross-sectional dimensions of 600 mm x 1000 mm. This column is to be constructed with high strength concrete (E = 30 GPa) and internally reinforced with an unknown numbers of steel rods. A single steel rod has E=210 GPa and a constant cross- sectional area of 0.005 m2. Assume complete fixation of the rods within the concrete. The height of the rods is the same as that of the column. Using this information, design columns A and B. For Column A: How many rods must be embedded into the column so that 1/3 of any axial force acting on the column is carried by the steel rods, and the rest of the load carried by the concrete? Solution: Column A: s: steel rod C: concrete Es=210 GPa Ec-30 GPa Total area: A=0.6 m2 Area of 1 rod: a = 0.005 m2 n number nf rods. 11 12 tv
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