Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 76AAP
To determine
Explain the reason for the extremely high strength of wood is along the longitudinal direction of the tree stem than along the transverse direction.
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Is wood still appropriate to be used in our modern era? What could be the effect or implication in the environment when using wood in the aircraft? What do you think could be the effect of the slope of the grains when being used in the aircraft structure?
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.
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
Ch. 12.15 - Define a composite material with respect to a...Ch. 12.15 - Prob. 2KCPCh. 12.15 - What are some of the advantages of glass...Ch. 12.15 - Prob. 4KCPCh. 12.15 - Prob. 5KCPCh. 12.15 - What properties make carbon fibers important for...Ch. 12.15 - Prob. 7KCPCh. 12.15 - Prob. 8KCPCh. 12.15 - Prob. 9KCPCh. 12.15 - Prob. 10KCP
Ch. 12.15 - Prob. 11KCPCh. 12.15 - Prob. 12KCPCh. 12.15 - Prob. 13KCPCh. 12.15 - Prob. 14KCPCh. 12.15 - Prob. 15KCPCh. 12.15 - Describe the sheet-molding compound manufacturing...Ch. 12.15 - Prob. 17KCPCh. 12.15 - Prob. 18KCPCh. 12.15 - What are the basic raw materials for portland...Ch. 12.15 - What are the names, chemical formulas, and...Ch. 12.15 - List the five main ASTM types of portland cement...Ch. 12.15 - What is asphalt? Where is asphalt obtained?Ch. 12.15 - What are chemical composition ranges for asphalts?Ch. 12.15 - What does an asphalt mix consist of? What is the...Ch. 12.15 - Prob. 25KCPCh. 12.15 - What are the subrings of the annual growth rings...Ch. 12.15 - Prob. 27KCPCh. 12.15 - Prob. 28KCPCh. 12.15 - Prob. 29KCPCh. 12.15 - Prob. 30KCPCh. 12.15 - Prob. 31KCPCh. 12.15 - Prob. 32AAPCh. 12.15 - Prob. 33AAPCh. 12.15 - Prob. 34AAPCh. 12.15 - Prob. 35AAPCh. 12.15 - Prob. 36AAPCh. 12.15 - Prob. 37AAPCh. 12.15 - Prob. 38AAPCh. 12.15 - Prob. 39AAPCh. 12.15 - A unidirectional carbon fiberepoxy resin composite...Ch. 12.15 - Prob. 41AAPCh. 12.15 - Prob. 42AAPCh. 12.15 - Prob. 43AAPCh. 12.15 - Prob. 44AAPCh. 12.15 - Prob. 45AAPCh. 12.15 - If the tensile strength of the Kevlar 49 fibers is...Ch. 12.15 - Prob. 47AAPCh. 12.15 - Prob. 48AAPCh. 12.15 - Prob. 49AAPCh. 12.15 - Prob. 50AAPCh. 12.15 - Prob. 51AAPCh. 12.15 - What types of chemical reactions occur during the...Ch. 12.15 - Prob. 53AAPCh. 12.15 - Which component of portland cement hardens rapidly...Ch. 12.15 - Prob. 55AAPCh. 12.15 - Prob. 56AAPCh. 12.15 - Prob. 57AAPCh. 12.15 - Prob. 58AAPCh. 12.15 - Prob. 59AAPCh. 12.15 - Prob. 60AAPCh. 12.15 - Prob. 61AAPCh. 12.15 - Prob. 62AAPCh. 12.15 - Prob. 63AAPCh. 12.15 - Prob. 64AAPCh. 12.15 - Prob. 65AAPCh. 12.15 - Prob. 66AAPCh. 12.15 - Prob. 67AAPCh. 12.15 - Prob. 68AAPCh. 12.15 - Prob. 69AAPCh. 12.15 - What characteristics are desirable for the...Ch. 12.15 - Prob. 71AAPCh. 12.15 - Prob. 72AAPCh. 12.15 - Prob. 73AAPCh. 12.15 - Prob. 74AAPCh. 12.15 - Prob. 75AAPCh. 12.15 - Prob. 76AAPCh. 12.15 - Prob. 77AAPCh. 12.15 - Why does wood shrink much more in the transverse...Ch. 12.15 - A newly developed metal-matrix composite is made...Ch. 12.15 - Prob. 81AAPCh. 12.15 - Prob. 82AAPCh. 12.15 - Prob. 83AAPCh. 12.15 - Prob. 84AAPCh. 12.15 - Prob. 85AAPCh. 12.15 - Prob. 86AAPCh. 12.15 - Prob. 87SEPCh. 12.15 - Prob. 88SEPCh. 12.15 - Prob. 89SEPCh. 12.15 - Prob. 90SEPCh. 12.15 - Prob. 91SEPCh. 12.15 - Prob. 92SEPCh. 12.15 - (a) In Problem 12.94, if all three beams are to...Ch. 12.15 - Prob. 97SEPCh. 12.15 - Prob. 98SEPCh. 12.15 - Prob. 99SEPCh. 12.15 - Prob. 100SEPCh. 12.15 - Prob. 101SEPCh. 12.15 - Prob. 102SEPCh. 12.15 - Prob. 103SEPCh. 12.15 - Prob. 104SEPCh. 12.15 - In total hip replacement, most surgeons prefer a...
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- QUESTION 5 The best fiber-reinforced composite in terms of tensile strength is: Continuous and aligned loaded longitudinally Discontinuous and aligned loaded longitudinally Continuous and aligned transversely Discontinuous and randomarrow_forwardWhat are the main characteristics of 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
- Question 1 A composite material consists of 40% parallel carbon fibres with a Young’s modulus of 405 GPa in a matrix of epoxy resin with a Young’s modulus of 2.5 GPa. Calculate the Young’s modulus of the composite in the parallel and in the perpendicular directions of the fibres. Use the graphical method seen in class to show the possible value of the overall young modulus of your composite material.arrow_forwardFind the differences between thermoplastic and thermoset in terms ofi. Recycle abilityii. Hardnessiii. Structureiv. Heating process reactionarrow_forwardThe strength-density properties can be determined from bar chart. The strength of composite can be determined from: Tensile failure strength Tensile tear strength Modulus of rupture Yield strengtharrow_forward
- b. 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_forward1. For a load applied in the direction of fiber, assuming equal deformation in the components, the two phases are viewed as being defomed in parallel. Derive an equation relating the elastic modulus of the composites. Farrow_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
- A wood composite was created to enhance the property of the common wood (control). Both samples underwent compression loading test. The result is shown in the accompanying figure. Which of the statement below is true? The elasticity of the wood composite is far better than the control The wood composite exhibit better resistance against deformation The wood composites showed a deformation behavior generally similar to that of untreated wood. After the yield point the composites showed an initially abrupt and then steady decrease in compressive stresS All of the abovearrow_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_forwardA discontinuous fibre reinforced composite consists of 20mm long carbon fibres in a polymer matrix. The volume fraction of the composite is 0.5, interfacial shear strength 5MPa and the critical fibre length 2.5mm. The fibre modulus is 250GPa and strain to failure 1.5%. The matrix modulus is 3.5GPa and failure strain 10%. Calculate the tensile strength of the composite in the fibre direction. Answer: 3564arrow_forward
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