Mechanical Properties Concepts
Mechanical Properties Math
Interpreting Diagrams
Phase Diagrams II
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Review
100

What are the equations for Stress, Strain, Hooke's Law, and Poisson's Ratio?

sigma = F/A

 epsilon = (DeltaL)/L_0 

E=sigma/epsilon

upsilon = (lateral     epsilon)/(longitude  epsilon)

100

A copper wire with a diameter of 2 mm is subjected to a tensile force of 500 N. Calculate the stress experienced by the wire.

(5*10^8)/pi Pa

100

What type of graph is this


A Eutectic graph

100

An alloy with 50wt%Mg - 50wt%Al at 400*C is in what State(s)?

gamma

100

What are the 2 components used to make chocolate? 

Cocoa (solids) + Cocoa butter (fats)

100

What is the coordination number for a BCC structure? 

8

200

True/False: Resilience is a material's ability to absorb energy before fracture, or all area under the stress-strain curve

False; This is Toughness. 

Resilience is a Material's ability to absorb energy that can be released, or the area under ONLY the elastic region of the graph

200

For a titanium alloy, the stress at which plastic deformation begins is 100 MPa, and the modulus of elasticity at 25°C is 20 GPa.

a) What is the maximum load that can be applied to a specimen with a cross-sectional area of 2 cm² without plastic deformation?

b) If the original specimen length is 2 meters, what is the maximum length to which it can be stretched without causing plastic deformation? 

a. 20,000 N

b. 2.01 m

200

What are the circled, starred, and boxed points called?

Circle: The proportional limit

Star: The point of maximum stress

Box: The Fracture point

200

What is the Phase Composition at about 90 wt% Ag at 800º F?

beta

= 95wt% Ag, 5wt% Cu ; 

L= 82wt% Ag, 18wt% Cu

200

What type of grain boundary is this?

Amorphous grain boundary

200

What miller indices describe this family/density of planes?

{110}

300

What is a material with a low Young’s Modulus and a long plastic region on its stress-strain curve?

What is a Ductile Material

300

A steel beam with a cross-sectional area of 25 cm² is subjected to a tensile force of 100 kN. The beam stretches by 2 mm over its original length of 2 m. Calculate Young's modulus for the steel beam.

4*10^10 Pa

300

What is the max solubility of Cu in Ag at 700ºC?

~ 8%

300

At 1300ºC what wt% Ni should be added to Cu to ensure the liquid phase?

~ 40wt% Ni

300

Name each type of point defect:

  

What is an interstitial, substitutional, and vacancy point defect

300

What crystal system has the lattice parameters a = b = c; α = β = γ ≠ 90?

Rhombohedral

400

  • Which curves most likely correspond to a Metal, Ceramic, and Polymer respectively?

Orange : Metal

Green : Ceramic

Purple : Polymer 

400

A rectangular sample of an unknown material has an initial length of 10 cm, and a cross-section of 2.1 cm X 2.1 cm dimensions. The sample is pulled in tension along the length (with the deformation described below all in the elastic region).

     a. Calculate the strain if the sample is elongated to 10.5 cm.

     b. With a Poisson’s ratio of 0.27, calculate the width in cm of the sample if the bar is elongated to 10.5 cm under applied stress.

     c. Calculate the stress required (MPa) to elongate the sample to 10.5 cm if the elastic modulus is 2.10 GPa.

a. 0.05

b. 2.072 cm

c. 105 MPa

400

Determine the yield strength at a strain offset of 0.01?

 ~570 MPa

400

Find the Phases present and the phase fractions of an alloy at 500*C with 22wt% Mg, 78wt% Al

%alpha = 8/20 = 40%

%L = 12/20 = 60%

400

What is the importance of tempering in chocolate manufacturing?

Tempering forms stable cocao butter crystals, ensuring a smooth and shiny texture with less fracture. It is tempered to Form V

400

Which of the following would have the highest melting point: CaO, Sn, (C₂H₄)ₙ? Which has the lowest?

highest: CaO

lowest: 

(C_2H_4)_n