Materials for Civil and Construction Engineers (4th Edition)
Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
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Chapter 11, Problem 11.27QP

(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 representative reinforced concrete composite beam section is shown in the figure below. The number of reinforcement is 6 and the diameter of the reinforcement is 16 meters. cross section Determine the neutral axis (x) and calculate the maximum normal stresses that will occur in concrete and steel. It will be assumed that the concrete does not carry tensile stress. The modulus of elasticity of the steel is 200000 Mpa. The modulus of elasticity of concrete is 28000 Mpa. The section width is b= 400 mm. Take the cover as 50 mm. (The maximum bending moment acting on the section is 59 kNm and d= 700 mm.)
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.
A composite column is formed by placing a steel bar 20 mm diameter and 200 mm long, inside an alloy cylinder of the same length whose internal and external diameters are 20 mm and 25 mm respectively. The column is then subjected to an axial load of 50 kN. Modulus of elasticity for steel and alloy is 200000MPa and 70000MPa respectively.  Which of the following gives the stress in the alloy? a. 74.80 MPa b. 99.74 MPa c. 46.54 MPa d. 132.98 MPa
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