Using Drawing Tools - Civil Engineering Drawing

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    2Using drawing tools

    & applied geometry

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    Contents

    Applied Geometry(or geometrical constructions)

    Using of tools

    Preparation of tools

    Problem solving steps

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    Preparation ofTools

    Contents

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    1. Paper

    2. Pencils

    3. Compass

    Fastening a sheet to a drafting board

    Sharpening the lead

    Sharpening the lead

    Tools to be prepared

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    Paper

    1. Place a paper close to the left edge of atable where a drafter can work conveniently.

    3. Move the paper until its lower edge lies

    close to the top edge of a T-square.

    4. Align the top edge of the paper with

    T-square blade.

    5. Attach the papers corners with tape.

    6. Move T-square down to smooth the paper.

    7. Attach the remaining papers corners

    with tape.

    2. Place a T-square.

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    1. Remove the wood with penknife while expose a lead

    about 8-10 mm.

    2. Polish the lead into a conical shape with a sandpaper.

    3. Clean the lead with tissue paper.

    Pencil

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    Compass

    2. Adjust the needleand theleadso that the tip of

    the needle extends slightly more than the lead.

    1. Sharpen the lead with a sandpaper.

    needle lead

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    Using the Tools

    Contents

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    Straight line

    Arc, Circle4. Circle template

    1. T-square

    2. Triangles

    3. Compass

    Tools

    Shape to be drawn

    Function of the tools

    T-square and triangles can be used together to draw

    an inclined line with 15oincrement, i.e. 15o, 30o, 45o,

    60o, 75o, 90o, 105o, 120o, 135o, 150o, 165o, 180oetc.

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    To keep your drawing clean

    Do Dont

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    Using a compass

    1. Locate the center of the circle to be drawn.

    Draw two intersecting lines.

    2. Adjust the distance between a needle and a lead

    to be a radius of the circle.

    3. Set the needle point at the circles center.

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    4. Start circle.Apply enough pressure to the needle,

    holding the compass handle between thumb and index

    fingers.

    5. Complete circle.Revolve the handle clockwise.

    Using a compass

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    1. Draw two perpendicular lines that pass through center of

    a circle to be drawn.

    Construction line

    Visible line

    2. Align all markings on template with the center lines.

    3. Tracing the circle.

    GivenCenter of a circle to be drawn

    Using a template

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    A

    B

    Draw a line through the given points

    1. Place the pencil tip at one of the

    given points.

    2. Place the triangle against the

    pencil tip.

    3. Swing the triangle around the

    pencil tip until its edge aligns with

    the second point.

    4. Draw a line.

    Given

    play

    Explanations

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    Draw a horizontal line

    1. Press the T-square head against the left edge

    of the table.

    2. Smooth the blade to the right.

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    Draw a horizontal line3. Lean the pencil at an angle about 60owith the paper

    in the direction of the line and slightly toed in.

    4. Rotate the pencil slowlywhile moving the pencil

    from left to right.

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    Draw a horizontal line

    5. Move T-square up or down to draw another

    horizontal line.

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    Draw a vertical line1. Set T-square as before.

    Place any triangle on T-square edge.

    2. Use your left hand to hold both T-square and triangle

    in position.

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    Draw a vertical line

    3. Lean the pencil to the triangle.

    4. Draw the line upward while rotating the pencil slowly.

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    1. Place 30o-60otriangle on the T-square edge and press

    them firmly against the paper.

    2. Draw the line in the direction as shown below.

    Draw a line at 30owith horizontal

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    Draw a line at 45owith horizontal

    2. Draw the line in the direction as shown below.

    1. Place 45otriangle on the T-square edge and press

    them firmly against the paper.

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    Draw a line at 60owith horizontal

    1. Place 30o-60otriangle on the T-square edge and press

    them firmly against the paper.

    2. Draw the line in the direction as shown below.

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    Draw a line at 15o with horizontal

    1

    2

    +-30o

    45o

    = 15oCCW

    +60o

    (-45o)

    = 15oCCW

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    Draw a line at 75o with horizontal

    1

    2

    +30o

    45o

    = 75oCCW

    +45o 30o = 75oCCW

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    Draw a line at 105o with horizontal

    1

    2

    +60o

    45o

    = 105oCCW

    +45o 60o = 105oCCW

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    Practice by Yourself

    Arrange the triangles to draw a line at

    a) 120o

    b) 135o

    c) 150

    o

    with a horizontal.

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    Applied Geometry

    Contents

    r

    Bisecting Parallel line

    Perpendicular

    line

    Inclined line

    Tangent line

    Tangent arc

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    Bisecting a lineand an angle

    Applied Geometry Contents

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    To bisect a given line

    1. Swing two arcs having a radius

    greater than half-length of the

    line with the centers at the

    ends of the line.

    2. Join the intersection points of

    the arcs with a line.

    A

    B

    r1r1

    3. Locate the midpoint.

    Given

    play

    Explanations

    Applied Geometry

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    To bisect a given angle

    2. Swing the arcs of any radiusfrom the intersection points

    between the previous arc and

    the lines.

    3. Draw the line.

    1. Swing an arc of any radius

    whose centers at the vertex.

    r1

    A

    B

    C

    r2

    r2

    Given

    play

    Applied Geometry

    Explanations

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    Drawing a parallel line

    Applied Geometry Contents

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    +C

    Line parallel to a given line

    through a given point

    Given

    play

    Applied Geometry

    Explanations

    3. Slide the first triangle until its

    edge passes through the

    given point.

    1. Line an edge of a triangle up

    to a given line.

    2. Support the triangle with

    another one.

    4. Draw a line.

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    r

    Line parallel to a given line

    at a given distance

    Given

    play

    Explanations

    3. Draw a line parallel to a given

    line and tangent to the arc.

    1. Choose a convenient point on

    a given line.

    2. Use that point as center of an

    arc with a radius equal to a

    given distance.

    Applied Geometry

    r

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    Drawing a perpendicular line

    Applied Geometry Contents

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    +C

    Line perpendicular to a point in a line

    Revolv e method

    Given

    play

    Explanations

    3. Flip the first triangle and slide

    until its edge passes through

    the given point.

    1. Line an oppositeedge of a 45o

    triangle up to a given line.

    2. Support the triangle with another

    one.

    4. Draw a line.

    Applied Geometry

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    +C

    Ad jacent-s ides method

    Given

    play

    Line perpendicular to a point in a line

    Explanations

    3. Slide the first triangle until

    another adjacent edge passes

    through the given point.

    1. Line an adjacentedge of a 45o

    triangle up to a given line.

    2. Support the triangle with another

    one.

    4. Draw a line.

    Applied Geometry

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    r1

    +C

    r2

    r2 > r1

    A

    B

    D

    Given

    play

    Line perpendicular to a point in a line

    Compass method

    Explanations1. Use a given point as center,

    draw the arc with any radius.

    2. Bisect the distance between the

    intersection points between anarc and a given line.

    3. Draw a line.

    Applied Geometry

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    Line perpendicular to a given line

    through a point outside the line

    +C

    Given

    play

    Ad jacent-s ides methodExplanations

    3. Slide the first triangle until

    another adjacent edge passes

    through the given point.

    1. Line an adjacentedge of a 45o

    triangle up to a given line.

    2. Support the triangle with another

    one.

    4. Draw a line.

    Applied Geometry

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    Given

    play

    r2

    +C

    r2

    r1

    B

    A

    D

    Line perpendicular to a given line

    through a point outside the line

    Compass method Explanations

    1. Use a given point as a center,

    draw the arc with any radius that

    intersect the given line.

    2. Bisect the distance between the

    intersection points between an

    arc and a given line.

    3. Draw a line.

    Applied Geometry

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    Practice by Yourself

    Draw a line perpendicular to a given line and passthrough a point lies outside using revolvedmethod.

    Applied Geometry

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    Drawing an inclined line

    Applied Geometry Contents

    Li ki 15o ith i li

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    Line making 15owith a given line

    through a given point

    +C

    +C

    Given

    play

    Given

    play

    Applied Geometry

    Li ki 30o ith i li

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    Line making 30owith a given line

    through a given point

    +C

    +C

    Given

    play

    Given

    play

    Applied Geometry

    Li ki 75o ith i li

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    Line making 75owith a given line

    through a given point

    +

    C

    Given

    play

    Given

    play

    +

    C

    Applied Geometry

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    Drawing a Tangent lineto an arc (or a circle)

    Applied Geometry Contents

    T t li t i ( i l )

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    C

    Tangent line to a given arc (or circle)

    play

    Case 1 : A given po int l ies on an arc

    Applied Geometry

    Given Explanations

    3. Slide the first triangle until

    another adjacent edge passesthrough the given point.

    1. Line an adjacentedge of a 45o

    triangle up to the center of an

    arc and a given given.

    2. Support the triangle with another

    one.

    4. Draw a line.

    T t li t i ( i l )

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    Tangent line to a given arc (or circle)

    play

    C

    play

    C

    Applied Geometry

    Case 2 : A given po int l ies outs ide an arc

    Given Given1stmethod

    2ndmethod

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    Drawing a tangent curveto the given lines

    Applied Geometry Contents

    K C t

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    Key Concept

    1. its center, C.

    To draw a tangent arc (of a specified radius, R),

    it is necessary to locate

    2. the startand end points

    (or tangent points) of the arc.

    It places outside a line for a distance

    equal to a radius of an arc.

    It lies on a given line in the way

    that the line passing through this

    point and the center of an arc be

    perpendicular to a given line.

    R

    R R

    T t t th i li

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    Tangent arc to the given lines

    R

    R

    play

    Given 1. Locate the center of an arc

    Applied Geometry

    Continue

    T t t th i li

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    TP.1TP.2

    Tangent arc to the given lines

    2. Locate the tangent points

    Applied Geometry

    Replay

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    Drawing a tangent curveto the given curves

    Applied Geometry Contents

    Key Concept

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    Tangent point lies on the line passes through the centers

    of each arc (or circle).

    Key Concept

    R1

    R2

    R3

    Tangent arc to a gi en arcs (or circles)

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    Tangent arc to a given arcs (or circles)

    C2C1

    C

    C1 C2

    C

    1. its center, C.

    To draw a tangent arc (of a specified radius, R),

    it is necessary to locate

    Case 1 : External Case 2 : Internal

    2. the startand end points(or tangent points) of the arc.

    R1R

    R

    R2 R1

    R-R1 R-R2

    R2

    External tangent arc

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    ++C

    1

    C2

    R+ R1

    R+ R2

    R1

    R2C

    External tangent arc

    R

    play

    Applied Geometry

    Given

    Internal tangent arc (Type 1)

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    ++

    C1C2

    RR2

    Internal tangent arc (Type 1)

    RR1

    R1

    R2

    C

    R

    play

    Applied Geometry

    Given

    Internal tangent arc (Type 2)

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    R+ R2

    RR1C

    Internal tangent arc (Type 2)

    ++C1 C

    2

    R1

    R2

    play

    R

    Applied Geometry

    Given

    Problem solving steps

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    Problem solving steps

    1. Calculate the required space

    2. Understand the drawing type and information to be required

    3. Choose suitable scale

    4. Start drawing

    Drawing Tools to be Purchased

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    Drawing Tools to be Purchased

    1. Transparent T-Square

    2. Drawing board (optional)

    3. Lead Pencil / Clutch Pencil

    4. Sharpener, Eraser

    5. 30o60oTriangle & 45oTriangle (Set Squares)

    6. Compass and Divider

    7. Paper Tape (0.5 inch wide)

    8. Pocket size tissue pack