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Final Exam Review. Material-Process-Geometry Relationships. Function. Role of Prod Engr. Material. Geometry. Role of Mfg Engr. Process. Materials in Manufacturing . Most engineering materials can be classified into one of four basic categories: Metals Ceramics Polymers Composites.

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material process geometry relationships
Material-Process-Geometry Relationships


Role of Prod Engr



Role of Mfg Engr


materials in manufacturing
Materials in Manufacturing
  • Most engineering materials can be classified into one of four basic categories:
    • Metals
    • Ceramics
    • Polymers
    • Composites
processing operations
Processing Operations
  • Three categories of processing operations:
    • Shaping operations - alter the geometry of the starting work material
    • Property‑enhancing operations - improve physical properties of the material without changing its shape
    • Surface processing operations - clean, treat, coat, or deposit material onto the exterior surface of the work
shaping four main categories
Shaping – Four Main Categories
  • Solidification Processes - starting material is a heated liquid that solidifies to form part geometry
  • Deformation Processes - starting material is a ductile solid that is deformed
  • Material Removal Processes - starting material is a ductile/brittle solid, from which material is removed
  • Assembly Processes - two or more separate parts are joined to form a new entity
stress strain relationships
Stress-Strain Relationships
  • Figure 3.3 Typical engineering stress‑strain plot in a tensile test of a metal.
true stress strain curve
True Stress-Strain Curve

Figure 3.4 ‑ True stress‑strain curve for the previous engineering stress‑strain plot in Figure 3.3.

strain hardening
Strain Hardening

Figure 3.5 True stress‑strain curve plotted on log‑log scale.

recrystallization and grain growth
Recrystallization and Grain Growth

Scanning electron micrograph taken using backscattered electrons, of a partly recrystallized Al-Zr alloy. The large defect-free recrystallized grains can be seen consuming the deformed cellular microstructure.



Precipitation Hardening - Al 6022 (Mg-Si)

Figure 27.5 Precipitation hardening: (a) phase diagram of an alloy system consisting of metals A and B that can be precipitation hardened; and (b) heat treatment: (1) solution treatment, (2) quenching, and (3) precipitation treatment.


machining relationships
Machining Relationships

Machine Tool

Workholding Tool

Cutting Tool



Effect of Higher Shear Plane Angle

  • Higher shear plane angle means smaller shear plane which means lower shear force, cutting forces, power, and temperature

Figure 21.12 Effect of shear plane angle  : (a) higher  with a resulting lower shear plane area; (b) smaller  with a corresponding larger shear plane area. Note that the rake angle is larger in (a), which tends to increase shear angle according to the Merchant equation


machining calculations turning
Machining Calculations: Turning
  • Spindle Speed - N(rpm)
      • v = cutting speed
      • Do = outer diameter
  • Feed Rate - fr(mm/min -or- in/min)
      • f = feed per rev
  • Depth of Cut - d(mm -or- in)
      • Do = outer diameter
      • Df = final diameter
  • Machining Time - Tm(min)
      • L = length of cut
  • Mat’l Removal Rate - MRR(mm3/min -or- in3/min)
unit power in machining
Unit Power in Machining
  • Useful to convert power into power per unit volume rate of metal cut
  • Called the unit power, Pu or unit horsepower, HPu


    • Tool sharpness is taken into account multiply by 1.00 – 1.25
    • Feed is taken into account by multiplying by factor in Figure 21.14

where MRR = material removal rate

unit horsepower
Unit Horsepower

The significance of HPu is that it can be used: 1) to determine the size of the machine tool required to perform a particular cutting operation; and 2) the size of the cutting force on the workholding and cutting tools.

HPu ~ hp/in3/min

Cf ~ correction factor

MRR ~ in3/min

Fc~ lb

V ~ ft/min

E ~ machine tool efficiency

33,000 ~ conversion between ft-lb & hp

  • In a turning operation on stainless steel with hardness = 200 HB, the cutting speed = 200 m/min, feed = 0.25 mm/rev, and depth of cut = 7.5 mm. How much power will the lathe draw in performing this operation if its mechanical efficiency = 90%.
  • From Table 21.2, U = 2.8 N-m/mm3 = 2.8 J/mm3
  • Since feed is 0.25 mm/rev, the correction factor is 1
example solution
Example: Solution
  • MRR = vfd

= (200 m/min)(103 mm/m)(0.25 mm)(7.5 mm)

= 375,000 mm3/min = 6250 mm3/s

  • Pc = (6250 mm3/s)(2.8 J/mm3)(1.0) = 17,500 J/s

= 17,500 W = 17.5 kW

  • Accounting for mechanical efficiency, Pg

= 17.5/0.90 = 19.44 kW



Common process attributes:

  • Flow of Molten Liquid Requires Heating
  • Heat Transfer of Liquid in Mold Cavity During and After Pouring
  • Solidification into Component
gating system
Gating System

Channel through which molten metal flows into cavity from outside of mold

  • Consists of a downsprue, through which metal enters a runner leading to the main cavity
  • At top of downsprue, a pouring cup is often used to minimize splash and turbulence as the metal flows into downsprue
pouring calculations
Pouring Calculations

Minimum mold filling time, MFT


Q: volumetric flow rate, cm3/s

V: mold cavity volume, cm3

chvorinov s rule
Chvorinov's Rule

where TST = total solidification time;

V = volume of the casting;

A = surface area of casting;

n = exponent usually taken to have a value = 2; and

Cm is moldconstant

amount and composition
Amount and Composition

Figure 6.2 Phase diagram for the copper‑nickel alloy system.

shrinkage in solidification and cooling
Shrinkage in Solidification and Cooling

Figure 10.8 Shrinkage of a cylindrical casting during solidification and cooling: (0) starting level of molten metal immediately after pouring; (1) reduction in level caused by liquid contraction during cooling (dimensional reductions are exaggerated for clarity).

shrinkage in solidification and cooling1
Shrinkage in Solidification and Cooling

Figure 10.8 (2) reduction in height and formation of shrinkage cavity caused by solidification shrinkage; (3) further reduction in height and diameter due to thermal contraction during cooling of solid metal (dimensional reductions are exaggerated for clarity).