## Solutions for Foundations of Materials Science and Engineering

Problem 2KCP:

What are the main classes of engineering materials?Problem 3KCP:

What are some of the important properties of each of the five main classes of engineering materials?Problem 5KCP:

Provide a list of characteristics for structural materials to be used in space applications.Problem 9KCP:

Nickel-base superalloys are used in the structure of aircraft turbine engines. What are the major...Problem 10KCP:

Make a list of items that you find in your kitchen (at least 15 items). In each item, determine the...Problem 11KCP:

Make a list of all the major components of your schools basketball court. For each major component,...Problem 12KCP:

Make a list of major components in your automobile (at least 15 components). For each component,...Problem 13KCP:

Make a list of major components in your computer (at least 10 components). For each component,...Problem 14KCP:

Make a list of major components in your classroom including the constructional elements (at least 10...Problem 15KCP:

Perform a search on the history of automobiles and report how the usage of various types of...Problem 16KCP:

Perform a search on the history of wheels and report on how the materials usage in this component...Problem 17KCP:

Perform a search on the history of recording media and report on how the usage of materials has...Problem 18KCP:

Perform a search on the history of sport track materials and report on how the usage of materials...Problem 19AAP:

List some materials usage changes that you have observed over a period of time in some manufactured...Problem 20AAP:

(a) What kind of material is OFHC copper? (b) What are the desirable properties of OFHC copper? (c)...Problem 21AAP:

(a) To which class of materials does PTFE belong? (b) What are its desirable properties? (c) What...Problem 22AAP:

Why should civil engineers be knowledgeable about composition, properties, and processing of...Problem 23AAP:

Why should mechanical engineers be knowledgeable about composition, properties, and processing of...Problem 24AAP:

Why should chemical engineers be knowledgeable about composition, properties, and processing of...Problem 25AAP:

Why should ocean engineers be knowledgeable about composition, properties, and processing of...Problem 26AAP:

Why should petroleum engineers be knowledgeable about composition, properties, and processing of...Problem 27AAP:

Why should electrical engineers be knowledgeable about composition, properties, and processing of...Problem 28AAP:

Why should biomedical engineers be knowledgeable about composition, properties, and processing of...Problem 29AAP:

(a) To which class of materials does kevlar belong? (b) What are its desirable properties? (c) What...Problem 33SEP:

Consider the common household component in a lightbulb: (a) identify various critical components of...Problem 34SEP:

(a) Name the important factors in selecting materials for the frame of a mountain bike. (b) Steel,...Problem 35SEP:

(a) Name the important criteria for selecting materials to use in a protective sports helmet. (b)...Problem 36SEP:

Why is it important or helpful to classify materials into different groups as we have done in this...Problem 37SEP:

A certain application requires a material that must be very hard and corrosion resistant at room...Problem 38SEP:

Give as many examples as you can on how materials science and engineering is important to the topic...# Sample Solutions for this Textbook

We offer sample solutions for Foundations of Materials Science and Engineering homework problems. See examples below:

Chapter 1.9, Problem 1KCPLaw of multiple proportions: States that for different pure substances, each pure substance have...Chapter 2.9, Problem 30AAPWrite the expression to calculate number of gram-moles of copper (nCu). nCu=mCuMCu (I) Here, molar...Write the expression to calculate number of gram-moles of manganese (nMg). nMg=mMgMMg (I) Here,...Write the expression to calculate energy of the electromagnetic radiation (E). E=hcλ (I) Here,...Write the expression to calculate energy of the photon emitted (E)....Write the expression for subsidiary quantum number. ℓ=n−1 (I) Here, the subsidiary quantum number is...There are certain number of sub-shells denoted by l that exist in any principal shell denoted by n....

The net force acting between two atoms is, Fnet=Fattraction−Frepulsion Refer Equation (2.8), Write...Chapter 2.9, Problem 70SEP(a) Crystalline solid: A solid containing ordered, repeating and three-dimensional (3D) arrangement...Show the cubic direction [0 1 0] in the BCC unit cell as in Figure (1). Position coordinates: For...Show the direction vector in the FCC unit cell for the cubic direction [1¯ 1¯ 1] as in Figure (1)....Show the hexagonal crystal plane having Miller-Bravais indices of (1 0 1¯ 1) as in Figure (1).For plane a the intercepts are a1=∞, a2=−1, a3=1 and c=∞. For plane b the intercepts are a1=1, a2=∞,...For finding the Miller-Bravais direction indices we need coordinates of intercept of the plane. By...Chapter 3.15, Problem 56AAPDraw the figure for the plane of (100). Figure-(1) Write the expression for the planer density of...Draw the figure for the plane of (100). Figure (1) Write the expression for the planer density of...Write the expression to calculate lattice constant of sodium chloride (a). a=2rCl−+2rNa+ (I) Here,...Show the solidification process of a pure metal as in Figure (1). In general, the solidification...Express the volume of critical size nucleus. V=43π(r∗)3 (I) Here, critical radius is r∗. Since...Chapter 4.8, Problem 35AAPExpress the relative mass of silver. mAg=MAgN(%mAg) (I) Here, molecular mass of silver is MAg,...Express the at% of nickel. Ni%=NNiN×100% (I) Here, number of atoms of nickel is NNi and overall...Express the density of alloy. ρalloy=(wt%Cu)(ρCu)+(wt%Ni)(ρNi) (I) Here, density of copper and...Express mass of one Fe atom. mFe=MFeN (I) Here, atomic or molar mass of Fe is MFe and number of atom...Thermally activated process refer to the process that keep on processing not due to average effects,...Chapter 5.7, Problem 11AAPExpress the equilibrium concentration of vacancies per cubic meter in pure copper. nv=NCe−Ev/kT (I)...Write the formula for lattice constant (a) of unit of FCC iron. a=4R2 (I) Here, the radius of the...It is given that the 1018 steel having 0.8 wt% at 1000 °C. It means that 0.8 g of carbon and 99.2 g...Chapter 6.13, Problem 1KCPWrite the expression for the initial cross sectional area of the wire. A0=π4d02 (I) Here, initial...Chapter 6.13, Problem 50AAPChapter 6.13, Problem 51AAPWrite the expression for the Schmidt’s law: τr=σcosλcosϕ …… (I) Here, τr is resolved shear stress ,...Write the expression for the Schmidt’s law: τr=σcosλcosϕ (I) Here, resolved shear stress is τr ,...Hall-Petch Equation: The Hall-Petch equation describes the strength of the metal as a combination of...Write the expression for the initial cross sectional area of the wire. A0=π4d02 (I) Here, initial...Chapter 6.13, Problem 80SEPWrite the expression to determine the angle (θ) between the two planes....Chapter 7.10, Problem 1KCPChapter 7.10, Problem 30AAPChapter 7.10, Problem 43SEPWrite the expression of height of the hammer when it reached 120° from its initial position is,...Write the expression for the circumferential stress or hoop stress in cylindrical vessel. σ=Prt (I)...Write the expression for the critical length. a=1π×(KCγσ)2 (I) Here, the fracture toughness of the...Chapter 8.15, Problem 1KCPChapter 8.15, Problem 24AAPChapter 8.15, Problem 29AAPChapter 8.15, Problem 50SEPChapter 8.15, Problem 53SEPChapter 8.15, Problem 64SEPChapter 8.15, Problem 66SEPChapter 9.13, Problem 1KCPRefer Figure 9.43, “Aluminum-rich end of aluminum-copper phase diagram”. Draw the plot with the...Chapter 10.14, Problem 1KCPShow the bonding structure of the polyacryonitrile, polybutadlene, and polystyrene as: Express the...Express the average molecular weight of the copolymer mer....Show the chemical structure bonding of polybutadiene and polystyrene as: Express the weight per cent...Show the chemical structure bonding of polyacrylonitrile and polybutadiene as: Express the weight...Express the first relaxation time. τ1=−tln(σ/σ0) (I) Express the second relaxation time....Chapter 11.13, Problem 1KCPWrite the expression to calculate lattice constant of cesium bromide structure (a). a=23(rCs++RBr−)...Write the expression to calculate lattice constant of strontium oxide structure (a). a=2(rSr++RO2−)...Chapter 11.13, Problem 71AAPWrite the expression to calculate lattice constant of zinc telluride structure (a)....Write the expression to calculate lattice constant of beryllium oxide structure (a)....Write the expression to calculate lattice constant of zirconium dioxide structure (a)....Write the expression to calculate lattice constant of cerium oxide structure (a). a=43(rCe4++RO2−)...Write the expression to calculate lattice constant of strontium tin oxide structure (a)....Write the equation involving the viscosity to temperature for a viscous flow in the glass. η=η0eQ/RT...Write the equation involving the viscosity to temperature for a viscous flow in the glass. η=η0eQ/RT...Write the equation involving the viscosity to temperature for a viscous flow in the glass. η=η0eQ/RT...Write the equation involving the viscosity to temperature for a viscous flow in the glass. η=η0eQ/RT...Chapter 12.15, Problem 1KCPChapter 12.15, Problem 40AAPWrite the expression to calculate average density of the composite (ρc). ρc=ρcfVcf+ρerVerV (I) Here,...Write the expression to calculate the load on a material. P=σA (I) Here, stress on the material is...For the isostress conditions, the stress on the composite will be equal to stress on the matrix and...Write the formula for saturated surface dry density. SSDD=specific gravity×density of water=specific...Write the formula for saturated surface dry density. SSDD=specific gravity×density of water=specific...Write the expression to calculate strain on the composite (εcomp). εcomp=σcompEcomp Here, stress on...Write the equation for the rule of mixture for the ceramic-matrix composites....Write the expression to calculate strain on the composite (εcomp). εcomp=σcompEcomp Here, stress on...Write the equation for the rule of mixture for the composite material. Ec=EfVf+EmVm (I) Here,...Corrosion: It is the deterioration of materials. When the materials are exposed to atmosphere...Write the expression for corrosion current. I=wnFtM (I) Here, the corrosion mass is w, the corrosion...Write the expression for corrosion rate. wt=IMnF (I) Here, the corrosion rate is w/t, the current...Write the expression for corrosion current. I=wnFtM (I) Here, the corrosion mass is w, the corrosion...Write the expression for corrosion rate. wt=IMnF (I) Here, the corrosion rate is w/t, the current...Chapter 13.10, Problem 55AAPWrite the expression for corrosion rate. wt=IMnF (I) Here, the corrosion rate is w/t, the current...Write the expression for the mass of the pit. w=ρAlVAl Here, density of aluminum is ρAl and volume...Write the expression for corrosion rate. wt=IMnF (I) Here, the corrosion rate is w/t, the current...Write the formula for Pilling-Bedworth (P.B.) ratio. P.B. ratio=volume of oxide produced by...Chapter 14.12, Problem 1KCPWrite the expression for electrical conductivity, σT=σoexp[(−Eg2k)1TT] (I) Here, temperature is T,...Chapter 14.12, Problem 73AAPChapter 14.12, Problem 74AAPWrite the expression to calculate the concentration of majority charge carriers in a n-type...Write the expression to calculate the concentration of majority charge carriers in a p-type...Chapter 14.12, Problem 81AAPWrite the expression for the conductivity of InSb at 300 K. σ300 K=niq(μn+μp) (I) Here, the...Write the expression for the conductivity of GaAs at 300 K. σ300 K=niq(μn+μp) (I) Here, the...Write the expression for the fraction of current carried by electrons. Fe=μnμn+μp (I) Here, the...Chapter 15.10, Problem 1KCPWrite the equation to calculate the minimum wavelength of the radiation (λ). λ=hcEg (I) Here, energy...Write the equation to calculate the wavelength of the radiation (λ). λ=hcEg (I) Here, energy band...Ferromagnetism: It is a property of metals to exhibit strong magnetic field surrounding them when...Write the expression to calculate saturation magnetization for nickel (Ms). Ms=(Atomic density)NμB...Write the expression to calculate saturation magnetization for cobalt metal (Ms). Ms=(Atomic...Write the expression to calculate saturation magnetization for gadolinium (Ms). Ms=(Atomic...Write the expression to calculate average magnetic moment for cobalt (N). N=MsμB(Atomic density) (I)...Write the expression to calculate saturation magnetization for nickel (Ms). Ms=(Atomic density)NμB...Chapter 16.13, Problem 67AAPWrite the expression to calculate mass of iron in the metallic glass composition (mFe). mFe=nFeMFe...Write the expression to calculate saturation magnetization for the ferrite NiO⋅Fe2O3(Ms). Ms=(Atomic...Express the relation for isostrain model. ε=Pb+PlAbEb+AlEl (I) Here, strain in the bone and implant...Express the volume of wear debris created in a 10-year period using the equation of dimensional wear...

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