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    Machine Component Design Project

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    Agenda

    Overview

    Design Objectives

    Process Flowchart

    Data Analysis

    Material Selection

    Design Proposal

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    Overview

    Our design labor consist in the design process of a V-belt speed

    reduction shaft for a given mechanism with fixed forces andtorque. The model consist of two rotating pulleys with different

    diameters connected to a shaft linkage.

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    Shaft Design

    Defining Problem

    Design objectives

    Static Analysis

    Defining forces

    and reaction Shear and

    momentumdiagrams

    Critical Point

    Stress analysis

    Safety factor

    selection Material Selection

    Informationresearch

    Solve for optimalDiameter

    DesignProposal

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    Design Objectives

    Construct a shaft with a safety diameter

    that can handle the forces created by

    the rotating belt tension

    Choose a material that is both reliableand economic viable

    Build a design that can be easily

    manufacturedAccomplish with all the standards of

    good engineering practice

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    Static Analysis

    The forces in the space are divided in to

    two different plane components, plane

    XY, and plane XZ

    The analysis will be consider at thesurface point in the shaft critical point.

    Gravitational forces are neglected

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    Static Analysis

    Pulley B

    Pulley D

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    Static Analysis

    Point C

    Point A

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    Static Analysis

    Forces in Plane XZ

    Forces in Plane YZ

    2552.18 N 2262.36 N

    371.147 N 4443.367 N

    3580.43 N 374.31 N

    1640.49 N 2314.259 N

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    Static Analysis

    Shear through the shaft in the plane XZ

    Shear through the shaft in the plane YZ

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    Static Analysis

    Momentum through the shaft in the plane XZ

    Momentum through the shaft in the plane YZ

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    Static Analysis

    0

    20

    40

    60

    80

    100

    120

    140

    160

    0 50 100 150 200 250

    Axis Title

    Momentum

    Critical Point136.59 N-m

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    Static Analysis

    -300

    -250

    -200

    -150

    -100

    -50

    0

    0 50 100 150 200 250

    Torque(N-m

    )

    Shaft Length (m)

    254.5 N-m

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    Data Analysis

    We selected a Safety factor of 2.5

    because it is a dynamic system that will

    be under cyclic stresses.

    We assumed the step on the shaftbetween pulley b and bearing C to have

    a diameter of 40 mm.

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    point B stress Analysis: d1

    Sigma Bending

    Shear Stress

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    point C stress Analysis: d2

    Sigma Bending

    Shear Stress

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    Material Selection

    The material selection process is reduce

    and analysis is reduced to steel

    materials. This due the reliability and

    value of this well known and very oftenused material. Ceramics, polymers,

    composites and other metals where

    unconsidered because the superiority of

    steel alloys, the availability and value in

    the industry

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    Material Selection

    Three specific Steel alloy are considered :

    : Low carbon steel use in many application

    because ins malleable, ductile and cheap, but it cannot be heat

    treated.

    : Medium carbon have a good balance

    between yield strength and ductility.

    : High carbon steel have a high hardness and

    yield point but it have a low ductility.

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    Material Selection

    Property High Carbon Steel 1055 Low carbon Steel 1010 Medium Carbon Steel 1045

    Elastic modulus (Gpa) 190 190 190

    Poison Ratio 0.3 0.3 0.3

    Yiel Strenght (Mpa) 560 305 505

    Elongation to fracture 10% 20% 12%

    Hardness @ T=25 197 105 170

    Properties of the considered materials

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    Diameter Calculation

    Using the MSS theory:

    Using the DET theory:

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    Diameter calculations

    Point C :

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    Diameter calculations

    Point B :

    Value found by Iteration In Excel

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    Stress Concentration

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    Diameter - Stress

    Concentration

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    Slope and deflection

    Slope in Plane XZ

    Deflection Plane XZ

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    Slope and deflection

    Slope in Plane YZ

    Deflection Plane YZ

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    Questions ?

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    Resources

    MD Solids 3.5 software. www.mdsolids.com

    http://www.efunda.com/materials/alloys/carbon_steels/list_ca

    rbon.cfm?m=ais&Page_Title=AISI%2010xx&ID_Low=AISI_1

    0

    http://www.efunda.com/materials/alloys/alloy_home/steels.cf

    m

    http://www.metalsupplies.com/mild-steel-rounds.html

    http://www.efunda.com/materials/alloys/carbon_steels/list_carbon.cfm?m=ais&Page_Title=AISI%2010xx&ID_Low=AISI_10http://www.efunda.com/materials/alloys/carbon_steels/list_carbon.cfm?m=ais&Page_Title=AISI%2010xx&ID_Low=AISI_10http://www.efunda.com/materials/alloys/carbon_steels/list_carbon.cfm?m=ais&Page_Title=AISI%2010xx&ID_Low=AISI_10http://www.efunda.com/materials/alloys/alloy_home/steels.cfmhttp://www.efunda.com/materials/alloys/alloy_home/steels.cfmhttp://www.efunda.com/materials/alloys/alloy_home/steels.cfmhttp://www.efunda.com/materials/alloys/alloy_home/steels.cfmhttp://www.efunda.com/materials/alloys/alloy_home/steels.cfmhttp://www.efunda.com/materials/alloys/carbon_steels/list_carbon.cfm?m=ais&Page_Title=AISI%2010xx&ID_Low=AISI_10http://www.efunda.com/materials/alloys/carbon_steels/list_carbon.cfm?m=ais&Page_Title=AISI%2010xx&ID_Low=AISI_10http://www.efunda.com/materials/alloys/carbon_steels/list_carbon.cfm?m=ais&Page_Title=AISI%2010xx&ID_Low=AISI_10http://www.efunda.com/materials/alloys/carbon_steels/list_carbon.cfm?m=ais&Page_Title=AISI%2010xx&ID_Low=AISI_10http://www.efunda.com/materials/alloys/carbon_steels/list_carbon.cfm?m=ais&Page_Title=AISI%2010xx&ID_Low=AISI_10