Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 60AAP
To determine
Explain how the water-cement ratio affects the concrete's compressive strength. Mention the ratio at which the compressive strength of around
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What are the main characteristics of concrete?
Which of the following statements regarding concrete is incorrect?
(a) The matrix of concrete is cement, which hardens by hydration reactions of
calcium silicates.
(b) The modulus of concrete follows an inverse law of mixtures between the
volume fracture of aggregate and the volume fraction of cement.
(c) The compressive strength of concrete develops in two stages - an initial
setting reaction, which occurs over a period of hours, and a hardening
reaction, which may continue for many months.
(d) The rate of the hardening reaction is controlled by the rate at which water
evaporates from the concrete and so the hardening reaction is temperature
dependent.
(e) The final compressive strength of concrete depends on the initial
water/cement ratio and decreases at high water/cement ratios.
A continuous and aligned fiber-reinforced composite having a cross-sectional area of 1200 mm² is subjected to an external tensile
load. If the stresses sustained by the fiber and matrix phases are 152 and 2.27 MPa, respectively, the force sustained by the fiber phase
is 72300 N, and the total longitudinal strain is 0.00143, determine the following:
(a) The force sustained by the matrix phase (in N).
i
(b) The modulus of elasticity of the composite material in the longitudinal direction (in GPa).
i
N
i
(c) The modulus of elasticity for the fiber phase (in GPa).
GPa
i
GPa
(d) The modulus of elasticity for the matrix phase (in GPa).
GPa
Chapter 12 Solutions
Foundations of Materials Science and Engineering
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- (b) A continuous and aligned fiber-reinforced composite is to be produced using 45 vol% of aramid fibers and 55 vol% of polycarbonate matrix. Mechanical properties of these two materials that are given in Table Q5(b): Table Q5(b): Mechanical properties of fiber and matrix Modulus of Elasticity (GPa) Tensile Strength (MPa) Aramid Fiber 131 3600 Polycarbonate 2.4 65 If the stress on the polycarbonate matrix is 35 MPa, when the aramid fibers fail, then compute the followings: (i) the longitudinal tensile strength (ii) the longitudinal modulus of elasticityarrow_forwardSelect suitable material for cement concrete and explain the selection procedure for selecting suitable material for concrete?arrow_forwardFor a glass/epoxy lamina with a 70% fiber volume fraction using the properties in the tables provided below (a) Find the ultimate tensile strength. (b) Find the minimum and critical fiber volume fractions related to (a). (c) Find the compressive strength when the matrix undergoes extension mode and when the matrix undergoes shear mode, which one controls the compressive failure? Property Axial modulus Transverse modulus Axial Poisson's ratio Transverse Poisson's ratio Shear modulus Axial tensile strength Axial compressive strength Transverse tensile strength Transverse compressive strength Shear strength Epoxy Glass Units 3.4 85 GPa 3.4 85 GPa 0.3 0.20 0.3 0.20 1.308 35.42 GPa 72 1550 MPa 102 1550 MPa 72 1550 MPa 102 1550 MPa 34 35 MPaarrow_forward
- For a continuous and aligned fiber-reinforced composite, the modulus of elasticity in the transverse direction is 4.91 GPa. If the volume fraction of fibers is 0.3 and the modulus of elasticity of matrix phase is 3.78 GPa, determine the modulus of elasticity of composite in longitudinal direction.arrow_forwardAn aligned and continuous glass fiber-reinforced epoxy composite consisting of 55 vol% glass fibers has a cross-sectional area of 420 mm2. The composite is subjected to a longitudinal load of 61,300 N. Calculate the magnitude of the stress on matrix phase if the elastic moduli of the glass fiber and the epoxy are 165 GPa and 5.7 GPa, respectively.arrow_forwardA composite with a vinyl ester (VE) matrix contains 2 vol% CNTS with the following characteristics: 1= 7 um, d= 50 nm, di = 4 nm, and EcCNT = 900 GPa. The modulus of the VE matrix is 1.9 GPa. %3D c. Find the Major Poisson's ratio for this composite using strength of materials approach. d. Find the in-plane shear modulus for this composite using strength of materials approach.arrow_forward
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composite-materials; Author: Tonya Coffey;https://www.youtube.com/watch?v=Vu6ik-bcKf4;License: Standard youtube license