Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 36AAP
To determine
What is meant by specific tensile strength? Define specific tensile modulus. Mention the materials with highest specific tensile modulus and highest specific tensile strength.
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The compressive strength of aramid fiber is about one-eighth of its tensile stress. Estimate the smallest diameter of a rod on which the aramid fiber can be wound without causing kinks, etc. on its compression side.
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provided below
(a) Find the ultimate tensile strength.
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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
i. Calculate the tensile modulus of elasticity of a unidirectional Kevlar-49 fibers epoxy composite material that contains 63% by volume of Kevlar 49 fibers and is stressed under isostrain conditions. The Kevlar 49 fibers have a tensile modulus of elasticity of 189.8 GPa and the epoxy matrix a tensile modulus of elasticity of 3.8 GPa.
ii. If the tensile strength of the Kevlar 49 fibers is 3.8 GPa and that of the epoxy resin is 75.9 MPa, calculate the tensile strength of the composite material in Q3b(i). Calculate the fraction of load carried by the Kevlar 49.
Chapter 12 Solutions
Foundations of Materials Science and Engineering
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- What is the tenacity in gf of a 3.2 tex fiber den that ruptures under a load of 94.8 gf ? Provide your answer with two decimal positions and no unit. Answer:arrow_forwardb. i. Calculate the tensile modulus of elasticity of a unidirectional Kevlar-49 fibers epoxy composite material that contains 63% by volume of Kevlar 49 fibers and is stressed under isostrain conditions. The Kevlar 49 fibers have a tensile modulus of elasticity of 189.8 GPa and the epoxy matrix a tensile modulus of elasticity of 3.8 GPa.arrow_forwardA composite sample of carbon reinforced epoxy has dimensions of 12 in x 12 in x 0.25 in and mass of 1.8 lb. The carbon fibers have a modulus of elasticity of 50(106) lb/in² and a density of 0.069 lb/in³. The epoxy matrix has modulus of elasticity of 0.61(106) lb/in² and a density of 0.042 lb/in³. What is the volume fraction of (a) the carbon fibers and (b) the epoxy matrix in the sample? Assume there are no voids in the sample. What is the predicted value for the modulus of elasticity (c) in the longitudinal direction and (d) the perpendicular to the carbon fibers?arrow_forward
- A tensile load of 120N is applied to an aluminum boron composite with 1mm^2 cross sectional area.the volume of parallel fibers is 20%.what is the stress in the fibers when the load Axis is (a)parallel to the fibers (b)perpendicular to the fibersarrow_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_forwardProblem 4 Calculate the tensile modulus of elasticity of a unidirectional carbon-fiber-reinforced-plastic composite material that contains 64 percent by volume of carbon fibers and is stressed under isostrain conditions. The carbon fibers have a tensile modulus of elasticity of 54.0 × 10° psi and the epoxy matrix a tensile modulus of elasticity of 0.530 x 10° psi.arrow_forward
- Calculate the modulus of rigidity (shear modulus) of an epoxy resin if the modulus of elasticity (Young's modulus) E = 3.5 GPa and the Poisson's ratio = 0.35. Select one: a. G = 2.6 GPa b. G = 10 GPa c. G = 3.15 GPa d. G= 0.1 GPa e. G = 1.3 GPaarrow_forwardWhen a viscoelastic material is loaded and unloaded, the unloading curve is different to the loading curve, i.e. it takes more energy to displace the material than it does to return the material to its original configuration. This is known as: Select one: O a. creep O b. stress relaxation O c. hysteresis d. strain-rate dependancearrow_forwardA continuous and aligned glass fiber-reinforced composite with modulus of elasticity of 55 GPa. The volume fiber fraction is 40 and the modulus of elasticity of the fiber is 75 GPa. Calculate the volume fraction of epoxy matrix if you know the modulus of elasticity of the modulus of elasticity of the matrix is 2.5 GPa and then determine the strain that is sustained by each phase under applied stress of 27 Mpa. (assume that the cross-section area is 150 mm2)arrow_forward
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