Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 71AAP
To determine
Write the difference between hardwoods and softwoods. State whether all the hardwoods are physically hard.
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Select suitable material for cement concrete and explain the
selection procedure for selecting suitable material for concrete?
For 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 MPa
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.
Chapter 12 Solutions
Foundations of Materials Science and Engineering
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- 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.arrow_forwardWhat are the main characteristics of concrete?arrow_forwardChoose a beverage other than water, identify and name three material properties that are needed for a suitable container, then suggest a good material for the container that fulfills these requirements , so it can be marketed and sold in supermarkets.arrow_forward
- Alice is conducting a tensile test on continuous fiber alignment compositesamples. She found that the results are different in the longitudinal andtransverse directions of the samples. Explain why this happens with the aid ofdiagram.arrow_forwardWhat is the distinction between matrix and dispersed phases in a composite material? Contrast the mechanical characteristics of matrix and dispersed phases for fiber reinforced composites.arrow_forwardIt is desired to produce an aligned and continuous fiber-reinforced epoxy composite having a maximum of 50% fibers. A minimum longitudinal modulus of elasticity of 55 GPa and a minimum tensile strength of 1200 MPa are required. E-glass and carbon (PAN standard modulus) fibers are the possible candidates to select. In addition, assume the stress levels on the epoxy matrix at fiber failure are 70 MPa for E-glass fiber and 30MPa for carbon fiber, respectively. Which fiber meets the design requirement? Use the properties given in the Table below to evaluate your selection. Materials Epoxy matrix E-glass Carbon Modulus of Elasticity (GPa) 3.1 72.5 230 Tensile Strength (MPa) 69 3450 4000arrow_forward
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