Class28 Manufacturing Economics

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    Manufacturing Economics

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    Economics of Manufacturing

    Manufacturing: Organized way of

    converting raw material to end product

    We talked about

    Selection of material

    Product design

    Selection of manufacturing process

    Manufacturing cost

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    When evaluating the value

    ask these questions

    Can the design be simplified?

    Are the tolerances and surface finish

    necessary?

    Will the assembly be easy?

    Do you need to design new part or can

    you use old design?

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    Selection of Material

    Physical properties

    Strength

    Toughness

    Ductility

    Hardness

    Fatigue Creep

    Density

    Thermal conductivity

    Manufacturing property

    Castability Formability

    Machinability

    Weldability

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    Product design and cost of material

    High production and automation

    Cost of material becomes a significant part of the cost

    Design Optimization (FEM) Produce lighter parts

    Optimum factor of safety

    Substitution of materials

    Reduction in cost Improved performance

    Strength to weight

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    Substitution of material in the Auto

    industry

    Metal being replaced by plastics

    Metal fender, gears, pumps, clamps, tanks

    are all being made with plastics

    Engine parts have ceramic components

    Cast products, powder metallurgy

    Composite materials for connecting rods

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    Selection of Manufacturing Process

    Have all the alternate processes investigated

    Are the methods economical

    Production rate

    Tolerances Can the part be cast instead of machined

    Is there a lot of scrap

    Are the production methods optimized Automation

    How the inspection/quality control can be met

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    Selection of Manufacturing Process

    Selection depends on

    Characteristics of material (strain rate

    sensitivity etc)

    Shape, size, thickness

    Tolerances, surface finish

    Production volume

    Functional requirements (Single crystal blade)

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    Process Capability

    Mold filling: Complex shapes

    Metal forming: properties

    Metal removal: easy cheap Metal joining: composite materials,

    fabricated

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    Effect of tolerances and surface

    finish

    Tolerance and surface finish

    Cost of manufacturing increases as therequired surface finish increases and

    higher tolerancesProduction Volume

    Production volume

    Rate of production

    Economic size

    demand

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    Economics

    Machining cost Labor cost

    Machine overhead

    Time to machine

    Idle time Cost of setting up machine

    Cost of loading, unloading tools and work piece

    Tooling Cost Cost of tool Cost of regrinding tool

    Cost of tool regrinding machine

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    Machining economics

    Minimum cost of part

    Max production rate

    Cp = Cm + Cs + Cl + CtCp : cost per piece

    Cm : machining costC

    l: cost of load and unload

    Ct : tool cost

    Cm = Tm (Lm + Bm)Tm : machining time

    Lm : labor rate

    Bm : machine over head

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    Setup Cost

    Cl = Tl (Lm + Bm)

    Tl : time involved in loading and unloading

    Tooling cost

    Ct = [Tc( Lm + Bm) + Tg(Lg+Bg) + Dc]/NpNp: number of parts machined / tool grind

    Tc : time to change tool

    Tg

    : time to grind

    Bg : over head for tool grinding

    Dc : Depreciation of tool in number of grindings

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    Time needed to produce one part

    Tp = Tl + Tm + Tc/ Np

    Tm: time for particular operation

    For turning

    Tm = pLD / fv

    L: length of cut

    D: diameter of work piecef : feed

    v : cutting speed

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    Material Removal Rate

    A milling operation is carried out on a 12 in long, 4 in wide, mild

    steel block, feed = 0.01 in/tooth d= 1/8 in. Cutter Diameter D= 2 in,

    has 20 teeth, N=100rpm. Calculate mrr, power cutting time for this

    operation.

    Linear speed v= f*n*N = 0.01 * 100 * 20 = 20 in/min

    MRR = w*d*v, = 4* 1/8 * 20 = 10 in^3/min

    Power = Unit power given in Table 8.4 * MRR = 1.1 * 10 = 11hp

    Torque = Power / Rotational Speed = 578 lb-ft

    lc = (Dd)^ = 0.5 in

    Cutting time t = (l +l (c) / v)= (12 +0.5 )/20 = 37.5 sec

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    Minimum cost calculations

    We can calculate cost per piece in terms of

    several variables.Cp = Cm + Cs + Cl + Ct

    dCp/dV = 0 (see eq. 8.55 of the text)

    -for getting optimum cutting speed and also optumum

    tool life for minimum cost (see eq 8.56 and 8.57)

    dTp/dV = 0 (see eq. 8.58 of the text)

    for optimum cutting speed and also optimum tool life

    for maximum production. We can find V and T to

    achieve this. (see eq 8.59 and 8.60)

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    Relevant tool life curves

    Time between machining Tool change, tool grinding time

    Machine overhead etc.

    Decide Minimum cost

    Maximum production in minimum time

    Determine all parameters Machining parameters

    Cost factors

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    Cost per

    piece of

    machining

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    time per piece of

    machining

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    Unit Cost