Creation of geometries by Coordinate system methods using AutoCad

Name: Allan Bryan Jayson Cruz

Course: Master’s Certification Program in High-Rise Building Design & Analysis

Date: September 18, 2021

Creation Of Geometries by Coordinate System Methods Using AutoCAD

CHALLENGE

AutoCAD Conditions:

*AutoCAD is set as Absolute Coordinate.

Cartesian Plane Conditions / Grid Conditions:

*Origin is set as (0,0).

*The cartesian plane is a 10x10 square unit divided into 1x1 square units.

Legends for Direct Distance Entry Method:

*Point "Right" = <0

*Point "Up" = <90

*Point "Left" = <180

*Point "Down" = <270

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PROBLEM 1

Image:

Procedure:

Cartesian Coordinate System Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: 2,7
4. Specify next point: 8,7
5. Specify next point: 8,6
6. Specify next point: 3,6
7. Specify next point: 3,2
8. Specify next point: 8,2
9. Specify next point: 8,1
10. Specify last point: 2,1 or Close

Relative Rectangular Coordinate Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: @0,6
4. Specify next point: @6,0
5. Specify next point: @0,-1
6. Specify next point: @-5,0
7. Specify next point: @0,-4
8. Specify next point: @5,0
9. Specify next point: @0,-1
10. Specify last point: @-6,0 or Close

Relative Polar Coordinate Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: @6<90
4. Specify next point: @6<0
5. Specify next point: @1<270
6. Specify next point: @5<180
7. Specify next point: @4<270
8. Specify next point: @5<0
9. Specify next point: @1<270
10. Specify last point: @6<180 or Close

Direct Distance Entry Method (Ortho ON)

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: Point "Up", 6
4. Specify next point: Point "Right", 6
5. Specify next point: Point "Down", 1
6. Specify next point: Point "Left", 5
7. Specify next point: Point "Down", 4
8. Specify next point: Point "Right", 5
9. Specify next point: Point "Down", 1
10. Specify last point: Point "Left", 6 or Close

********************************************************

PROBLEM 2

Image:

Procedure:

Cartesian Coordinate System Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: 4,8
4. Specify next point: 7,8
5. Specify next point: 9,1
6. Specify next point: 6,1
7. Specify next point: 6,5
8. Specify next point: 5,5
9. Specify next point: 5,1
10. Specify last point: 2,1 or Close

Relative Rectangular Coordinate Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: @2,7
4. Specify next point: @3,0
5. Specify next point: @2,-7
6. Specify next point: @-3,0
7. Specify next point: @0,4
8. Specify next point: @-1,0
9. Specify next point: @0,-4
10. Specify last point: @-3,0 or Close

Relative Polar Coordinate Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: @7.28<74.05
4. Specify next point: @3<0
5. Specify next point: @7.25<-74.05
6. Specify next point: @3<180
7. Specify next point: @4<90
8. Specify next point: @1<180
9. Specify next point: @4<270
10. Specify last point: @3<180 or Close

Direct Distance Entry Method (Ortho ON)

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: Point "At < 74.05", 7.28
4. Specify next point: Point "Right", 3
5. Specify next point: Point "At < -74.05 (285.95)", 7.28
6. Specify next point: Point "Left", 3
7. Specify next point: Point "Up", 4
8. Specify next point: Point "Left", 1
9. Specify next point: Point "Down", 4
10. Specify last point: Point "Left", 3 or Close

********************************************************

PROBLEM 4

Image:

Procedure:

Cartesian Coordinate System Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: 2,8
4. Specify next point: 3,8
5. Specify next point: 5,5
6. Specify next point: 7,8
7. Specify next point: 8,8
8. Specify next point: 8,1
9. Specify next point: 7,1
10. Specify next point: 7,5
11. Specify next point: 5,3
12. Specify next point: 3,5
13. Specify next point: 3,1
14. Specify last point: 2,1 or Close

Relative Rectangular Coordinate Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: @0,7
4. Specify next point: @1,0
5. Specify next point: @2,-3
6. Specify next point: @2,3
7. Specify next point: @1,0
8. Specify next point: @0,-7
9. Specify next point: @-1,0
10. Specify next point: @0,4
11. Specify next point: @-2,-2
12. Specify next point: @-2,2
13. Specify next point: @0,-4
14. Specify last point: @-1,0 or Close

Relative Polar Coordinate Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: @7<90
4. Specify next point: @1<0
5. Specify next point: @3.61<-56.31
6. Specify next point: @3.61<56.31
7. Specify next point: @1<0
8. Specify next point: @7<270
9. Specify next point: @1<180
10. Specify next point: @4<90
11. Specify next point: @2.83<-135
12. Specify next point: @2.83<135
13. Specify next point: @4<270
14. Specify last point: @1<180 or Close

Direct Distance Entry Method (Ortho ON)

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: Point "Up", 7
4. Specify next point: Point "Right", 1
5. Specify next point: Point "At < -56.31 (303.69)", 3.61
6. Specify next point: Point "At < 56.31", 3.61
7. Specify next point: Point "Right", 1
8. Specify next point: Point "Down", 7
9. Specify next point: Point "Left", 1
10. Specify next point: Point "Up", 4
11. Specify next point: Point "At < -135 (225)", 2.83
12. Specify next point: Point "At < 135 (225)", 2.83
13. Specify next point: Point "Down", 4
14. Specify last point: Point "Left", 3 or Close

********************************************************

PROBLEM 5

Image:

Procedure:

Cartesian Coordinate System Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: 2,9
4. Specify next point: 9,9
5. Specify next point: 9,1
6. Specify next point: 5,1
7. Specify next point: 5,2
8. Specify next point: 8,2
9. Specify next point: 8,8
10. Specify next point: 3,8
11. Specify next point: 3,1
12. Specify last point: 2,1 or Close

Relative Rectangular Coordinate Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: @0,8
4. Specify next point: @7,0
5. Specify next point: @0,-8
6. Specify next point: @-4,0
7. Specify next point: @0,1
8. Specify next point: @3,0
9. Specify next point: @0,6
10. Specify next point: @-5,0
11. Specify next point: @0,-7
12. Specify last point: @-1,0 or Close

Relative Polar Coordinate Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: @8<90
4. Specify next point: @7<0
5. Specify next point: @8<270
6. Specify next point: @4<180
7. Specify next point: @1<90
8. Specify next point: @3<180
9. Specify next point: @6<90
10. Specify next point: @5<180
11. Specify next point: @7<270
12. Specify last point: @1<180 or Close

Direct Distance Entry Method (Ortho ON)

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: Point "Up", 8
4. Specify next point: Point "Right", 7
5. Specify next point: Point "Down", 8
6. Specify next point: Point "Left", 4
7. Specify next point: Point "Up", 1
8. Specify next point: Point "Right", 3
9. Specify next point: Point "Up", 6
10. Specify next point: Point "Left", 5
11. Specify next point: Point "Down", 7
12. Specify last point: Point "Left", 1 or Close

********************************************************

PROBLEM 7

Image:

Procedure:

Cartesian Coordinate System Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: 2,7
4. Specify next point: 10,7
5. Specify next point: 10,1
6. Specify last point: 2,1 or Close
7. Select the Line tool
8. Specify first point: 3,2
9. Specify next point: 3,5
10. Specify next point: 5,5
11. Specify next point: 5,2
12. Specify last point: 3,2 or Close
13. Select the Line tool
14. Specify first point: 6,2
15. Specify next point: 6,5
16. Specify next point: 8,5
17. Specify next point: 8,2
18. Specify last point: 6,2 or Close

Relative Rectangular Coordinate Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: @0,6
4. Specify next point: @8,0
5. Specify next point: @0,-6
6. Specify last point: @-8,0 or Close
7. Select the Line tool
8. Specify first point: 3,2
9. Specify next point: @0,3
10. Specify next point: @2,0
11. Specify next point: @0,-3
12. Specify last point: @-2,0 or Close
13. Select the Line tool
14. Specify first point: 6,2
15. Specify next point: @0,3
16. Specify next point: @2,0
17. Specify next point: @0,-3
18. Specify last point: @-2,0 or Close

Relative Polar Coordinate Method

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: @6<90
4. Specify next point: @8<0
5. Specify next point: @6<270
6. Specify last point: @8<180 or Close
7. Select the Line tool
8. Specify first point: 3,2
9. Specify next point: @3<90
10. Specify next point: @2<0
11. Specify next point: @3<270
12. Specify last point: @2<180 or Close
13. Select the Line tool
14. Specify first point: 6,2
15. Specify next point: @3<90
16. Specify next point: @2<0
17. Specify next point: @3<270
18. Specify last point: @2<180 or Close

Direct Distance Entry Method (Ortho ON)

1. Select the Line tool
2. Specify first point: 2,1
3. Specify next point: Point "Up", 6
4. Specify next point: Point "Right", 8
5. Specify next point: Point "Down", 6
6. Specify last point: Point "Left", 8 or Close
7. Select the Line tool
8. Specify first point: 3,2
9. Specify next point: Point "Up", 3
10. Specify next point: Point "Right", 2
11. Specify next point: Point "Down", 3
12. Specify last point: Point "Left", 2 or Close
13. Select the Line tool
14. Specify first point: 6,2
15. Specify next point: Point "Up", 3
16. Specify next point: Point "Right", 2
17. Specify next point: Point "Down", 3
18. Specify last point: Point "Left", 2 or Close

********************************************************

PROBLEM 8

Image:

Procedure:

Cartesian Coordinate System Method

1. Select the Line tool
2. Specify first point: 0,0
3. Specify next point: 0,2
4. Specify next point: 4,2
5. Specify next point: 4,6
6. Specify next point: 1,6
7. Specify next point: 1,8
8. Specify next point: 9,8
9. Specify first point: 9,7
10. Specify next point: 6,7
11. Specify next point: 6,2
12. Specify next point: 10,2
13. Specify next point: 10,0
14. Specify last point: 0,0 or Close

Relative Rectangular Coordinate Method

1. Select the Line tool
2. Specify first point: 0,0
3. Specify next point: @0,2
4. Specify next point: @4,0
5. Specify next point: @0,4
6. Specify next point: @-3,0
7. Specify next point: @0,2
8. Specify next point: @8,0
9. Specify next point: @0,-2
10. Specify next point: @-3,0
11. Specify next point: @0,-4
12. Specify next point: @4,0
13. Specify next point: @0,-2
14. Specify last point: @-10,0 or Close

Relative Polar Coordinate Method

1. Select the Line tool
2. Specify first point: 0,0
3. Specify next point: @2<90
4. Specify next point: @4<0
5. Specify next point: @4<90
6. Specify next point: @3<180
7. Specify next point: @2<90
8. Specify next point: @8<0
9. Specify next point: @2<270
10. Specify next point: @3<180
11. Specify next point: @4<270
12. Specify next point: @4<0
13. Specify next point: @2<270
14. Specify last point: @10<180 or Close

Direct Distance Entry Method (Ortho ON)

1. Select the Line tool
2. Specify first point: 0,0
3. Specify next point: Point "Up", 2
4. Specify next point: Point "Right", 4
5. Specify next point: Point "Up", 4
6. Specify next point: Point "Left", 3
7. Specify next point: Point "Up", 2
8. Specify next point: Point "Right", 8
9. Specify next point: Point "Down", 2
10. Specify next point: Point "Left", 3
11. Specify next point: Point "Down", 4
12. Specify next point: Point "Right", 4
13. Specify next point: Point "Down", 2
14. Specify last point: Point "Left", 10 or Close

********************************************************

PROBLEM 9

Image:

Procedure:

Cartesian Coordinate System Method

1. Select the Line tool
2. Specify first point: 1,1
3. Specify next point: 1,8
4. Specify next point: 5,6
5. Specify next point: 5,4
6. Specify next point: 2,4
7. Specify next point: 2,2
8. Specify next point: 3,2
9. Specify first point: 3,3
10. Specify next point: 6,3
11. Specify next point: 6,1
12. Specify last point: 1,1 or Close

Relative Rectangular Coordinate Method

1. Select the Line tool
2. Specify first point: 1,1
3. Specify next point: @0,7
4. Specify next point: @4,2
5. Specify next point: @0,-2
6. Specify next point: @-3,0
7. Specify next point: @0,-2
8. Specify next point: @1,0
9. Specify next point: @0,1
10. Specify next point: @3,0
11. Specify next point: @0,-2
12. Specify last point: @-5,0 or Close

Relative Polar Coordinate Method

1. Select the Line tool
2. Specify first point: 1,1
3. Specify next point: @7<90
4. Specify next point: @4.47<-26.57
5. Specify next point: @2<270
6. Specify next point: @3<180
7. Specify next point: @2<270
8. Specify next point: @1<0
9. Specify next point: @1<90
10. Specify next point: @3<0
11. Specify next point: @2<270
12. Specify last point: @5<180 or Close

Direct Distance Entry Method (Ortho ON)

1. Select the Line tool
2. Specify first point: 1,1
3. Specify next point: Point "Up", 7
4. Specify next point: Point "At < -26.57 (333.43)", 4.47
5. Specify next point: Point "Down", 2
6. Specify next point: Point "Left", 3
7. Specify next point: Point "Down", 2
8. Specify next point: Point "Right", 1
9. Specify next point: Point "Up", 1
10. Specify next point: Point "Right", 3
11. Specify next point: Point "Down", 2
12. Specify last point: Point "Left", 5 or Close

********************************************************

PROBLEM 10

Image:

Procedure:

Cartesian Coordinate System Method

1. Select the Line tool
2. Specify first point: 1,1
3. Specify next point: 1,8
4. Specify next point: 6,8
5. Specify next point: 6,4
6. Specify next point: 3,4
7. Specify next point: 3,1
8. Specify last point: 1,1 or Close
9. Select the Line tool
10. Specify first point: 2,5
11. Specify next point: 2,7
12. Specify first point: 5,7
13. Specify next point: 5,5
14. Specify last point: 2,5 or Close

Relative Rectangular Coordinate Method

1. Select the Line tool
2. Specify first point: 1,1
3. Specify next point: @0,7
4. Specify next point: @5,0
5. Specify next point: @0,-4
6. Specify next point: @-3,0
7. Specify next point: @0,-3
8. Specify last point: @2,0 or Close
9. Select the Line tool
10. Specify first point: 2,5
11. Specify next point: @0,2
12. Specify next point: @3,0
13. Specify next point: @0,-2
14. Specify last point: @-3,0 or Close

Relative Polar Coordinate Method

1. Select the Line tool
2. Specify first point: 1,1
3. Specify next point: @7<90
4. Specify next point: @5<0
5. Specify next point: @4<270
6. Specify next point: @3<180
7. Specify next point: @3<270
8. Specify last point: @2<180 or Close
9. Select the Line tool
10. Specify first point: 2,5
11. Specify next point: @2<90
12. Specify next point: @3<0
13. Specify next point: @2<270
14. Specify last point: @3<180 or Close

Direct Distance Entry Method (Ortho ON)

1. Select the Line tool
2. Specify first point: 1,1
3. Specify next point: Point "Up", 7
4. Specify next point: Point "Right", 5
5. Specify next point: Point "Down", 4
6. Specify next point: Point "Left", 3
7. Specify next point: Point "Down", 3
8. Specify last point: Point "Left", 2 or Close
9. Select the Line tool
10. Specify first point: 2,5
11. Specify next point: Point "Up", 2
12. Specify next point: Point "Right", 3
13. Specify next point: Point "Down", 2
14. Specify last point: Point "Left", 3 or Close

********************************************************

PROFILE-WOOD

Image:

Procedure:

• Select the Line tool
• Specify first point: 0,0
• Specify next point: @1<90
• Specify next point: @2<0
• Specify next point: @5<90
• Specify next point: @2<180
• Specify next point: @5.831<30.964
• Specify next point: @5.831<-30.964
• Specify next point: @1<270
• Specify next point: @2<180
• Specify next point: @4<270
• Specify next point: @2<0
• Specify next point: @1<270
• Specify last point: @10<180 or Close
• Select the Circle tool
• Specify first point: 5,4
• Specify radius: 2

********************************************************

QUEEN POST TRUSS

Image:

Procedure:

• Select the Line tool
• Specify first point: 1,1 (Point A)
• Specify next point: @4<90 (Point B)
• Specify next point: @5<45 (Point C)
• Specify next point: @5<-45 (Point D)
• Specify next point: @4<270 (Point E) , End
• Select the Line tool
• Connect Point B and Point D
• Set mid point of line as Point F, End
• Select the Line tool
• Connect Point C and Point F, End
• Select the Line tool
• Specify first point: 2,5
• Specify next point: @1<90
• Specify next point: @2.726<-21.524
• Specify next point: @2.726<21.524
• Specify next point: @1<270 , End

********************************************************

MONO PITCH

Image:

Note: Height of the cartesian plane is reduced to 5 for better image.

Procedure:

• Select the Line tool
• Specify first point: 1,1
• Specify next point: 7,2
• Specify next point: 7,1
• Specify last point: 1,1 or Close
• Select the Line tool
• Specify first point: 3,1
• Specify next point: @0.667<90
• Specify next point: 5,1
• Specify next point: @1.333<90
• Specify next point: 7,1 , End