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MATSE 259 Exam 1 With Complete Solutions

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MATSE 259 Exam 1 With Complete Solutions Hooke's Law σ = Eε σ: engineering stress ε: engineering strain E: modulus of elasticity Elastic Elongation and Strain v = -εx/εz = -εy/εz applied tensile stress, elastic elongation and accompanying strain Tensile Strength (MPa o...

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  • June 7, 2024
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  • 2023/2024
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MATSE 259 Exam 1 With Complete Solutions
Hooke's Law
σ = Eε

σ: engineering stress
ε: engineering strain
E: modulus of elasticity


Elastic Elongation and Strain
v = -εx/εz = -εy/εz

applied tensile stress, elastic elongation and accompanying strain


Tensile Strength
(MPa or psi)
-Stress at max of stress-strain curve
-Max stress that can be sustained by a structure in tension


Toughness
-Ability of material to absorb energy up to a fracture
-Area under stress-strain curve up to point of fracture


Ductility
degree of plastic deformation that is sustained at fracture


Ductile Material
experiences significant plastic defamation upon fracture


Brittle Material
experiences very little or no plastic deformation upon fracture


Percent Elongation
%EL = (lf-l0)/l0 * 100

(l0 is L nought)
l0: original gauge length
lf: fracture length


Percent Reduction in Area
%RA = (A0-Af)/A0 * 100

A0: original cross-sectional area
Af: cross-sectional area at fracture


True Stress
σ(subT) = F/Ai

, True Strain
ε(subT) = ln(li/l0)


Strain Hardening (concept)
Region from onset of plastic deformation up to necking


Strain Hardening (equation)
ε(subT) = K*ε(subT)^n

K: strength coefficient (stress when ε(subT)=1)
n: strain hardening component


Primary Interatomic Bonds
ionic
covalent
metallic

-all bonds involve valence electrons
-depend on electron structures of constituent atoms
-tendency of atoms to assume stable electron structures


Unit Cell
-basic unit or block of crystal structure
-chosen to represent symmetry
-all atom positions in the crystal may be generated by translations


Coordination Number
each atom has same number of nearest neighbor or touching atoms


Atomic Packing Factor
APF = (volume of atoms in unit cell)/(total unit cell volume)

FCC: 74%
BCC: 68%
HCP: 74%


Face Centered Cubic (FCC)
-each corner, center of all faces
-4 total atoms


Body Centered Cubic (BCC)
-each corner, one in center
-total of 2 atoms


APF for FCC
APF = 0.74

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