EBK MATERIALS FOR CIVIL AND CONSTRUCTIO
EBK MATERIALS FOR CIVIL AND CONSTRUCTIO
4th Edition
ISBN: 8220102719569
Author: ZANIEWSKI
Publisher: PEARSON
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Chapter 11, Problem 11.26QP

(a)

To determine

The modulus of elasticity of the reinforced concrete.

(b)

To determine

The load carried by the each of the steel and plain concrete.

(c)

To determine

The minimum required cross sectional area of the column.

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A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli of elasticity of plain concrete and steel are 25 and207 GPa, respectively, and the cross-sectional area of steel is 2% of that of thereinforced concrete. Considering the column as a structural member made of a composite material and subjected to load parallel to the steel rebars, calculate the following:a. the modulus of elasticity of the reinforced concreteb. the load carried by each of the steel and plain concretec. the minimum required cross-sectional area of the column given that the allowable compressive stress of plain concrete is 20 MPa and that the allowable compressive stress of plain concrete will be reached before that of steel.
For the cross section shown below, the material and sectional properties are given as follows: Determine the modular ratio. The concrete modulus of elasticity can be estimated by  [psi] where  must be in unit psi. (b) Draw the transformed section. (C) Show that the cross-section is elastic and does not have cracks when a bending moment of 1,000 kips-in is applied. Also, given the bending moment, find the maximum stress in concrete and steel. The neutral axis is at 11.05 in. from the top surface, and the moment of inertia around the neutral axis is 26676 in4.
A short reinforced concrete column is subjected to a 1000 kN axial compressive load. Themoduli of elasticity of plain concrete and steel are 25 GPa and 207 GPa, respectively, and thecross-sectional area of steel is 2% of that of the reinforced concrete. Considering the columnas a structural member made of a composite material and subjected to load parallel to the steelrebars, calculate the following:a) The modulus of elasticity of the reinforced concreteb) The load carried by each of the steel and plain concretec) The minimum required cross-sectional area of the column given that the allowablecompressive stress of plain concrete is 20 MPa and that the allowable compressivestress of plain concrete will be reached before that of steel
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