Materials For Civil And Construction Engineers In Si Units
4th Edition
ISBN: 9781292154404
Author: Michael S Mamlouk
Publisher: PEARSON
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Question
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 short reinforced concrete column is subjected to a 600 kips axial compressive load. The moduli of elasticity of plain concrete and steel are 5 * 106 psi and 30 * 106 psi, respectively, and the cross-sectional area of steel is 1.8% of that of the reinforced 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 5000 psi and that the allowable compressive stress of plain concrete will be reached before that of steel
There is a cross-section of reinforced concrete beam, which is given as a representation in the figure. The diameter and number of reinforcement used (3 symbolically shown in the figure), the elasticity modules related to concrete standards, and the largest bending moment values affecting the cross-section, and the cross-section height (d) are given in the Excell file. Concrete shall be deemed not to carry tensile stress. The modulus of elasticity of Steel is 200000 MPA. The cross section width is b = 400mm.
a/ Find the neutral Axis (x) of the cross section
b/ Calculate maximum normal stresses in concrete and steel.
Concrete grade and modulus of elasticity value (Mpa)
Bending moment (kNm)
reinforcement diameter (mm)
reinforcement number
d (mm)
33000
80
14
5
750
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 steel bar?
a. 132.98 MPa
b. 46.54 MPa
c. 74.80 MPa
d. 166.23 MPa
Chapter 11 Solutions
Materials For Civil And Construction Engineers In Si Units
Ch. 11 - Prob. 11.1QPCh. 11 - Prob. 11.2QPCh. 11 - Prob. 11.3QPCh. 11 - Prob. 11.4QPCh. 11 - Prob. 11.5QPCh. 11 - Prob. 11.6QPCh. 11 - Prob. 11.7QPCh. 11 - Prob. 11.8QPCh. 11 - Prob. 11.9QPCh. 11 - What are the functions of aggregate used in...
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