Creation of geometries by Coordinate system methods using AutoCad

To design the above mentioned P-1 and P-2 drawings using coordinate system methods.

Introduction:-

There are 2 types of coordinate systems.

1. Absolute Coordinate system:- Absolute coordinate system is whenever we mention any point with respect to the origin 0,0.

2. Relative coordinate system:- Relative coordinate system is with respect to the previous point. Relative means not with respect to the origin with respect to the last point. There are 2 menthods in Relative coordinate system.

• Relative Rectangular coordinate system
• Relative Polar coordinate system

Aim: Using Coordinate system methods, P-1 Drawing is shown below

Procedure:-1. For P-1 model,

Now using the Absolute coordinate system method,

• Using the Line command,
• Step-1: First point is, we have to take the point from the origin and the starting point is given as (2,1).
• Step 2: Second point A to B ( dx=2, dy=7) (A)
• Step 3: B to C is (dx=8,dy=7) (B)
• Step 4: C to D is (dx=8, dy=6) (C)
• Step 5: D to E is (dx=3, dy=6) (D)
• Step 6: E to F is (dx=3, dy=2) (E)
• Step 7: F to G is (dx=8, dy=2) (F)
• Step 8: G to H is (dx=8, dy=1)(G)
• Step 9: H is Close

Now using the Relative rectangular coordinate system method,

• Using the line command, P-1 model,
• Step-1: First point is we have to take the point from the origin to the previous point and the starting point is given as (2,1).
• Step 2: In this Relative rectangular coordinate system, we have to take special character before the point.
• Step 3:- Starting point from A to B @ (dx=0, dy=6) (A)
• Step 3: B to C is @ (dx=6, dy=0) (B)
• Step 4: C to D is @ (dx=0, dy= -1) (C)
• Step 5: D to E is @ (dx=-5, dy=0) (D)
• Step 6: E to F is @ (dx=0, dy=-4) (E)
• Step 7: F to G is @ (dx=5, dy=0) (F)
• Step 8: G to H is @ (dx=0, dy=-1)(G)
• H is Close

Now using Polar coordinate system, we are designing P-1 model.

• Using the line command, P-1 model,
• Step-1: First point is the starting point given as (2,1). (@ Length < Angle)
• Step 2: A @ 6 < 90deg
• Step 3: B @ 6 < 0deg
• Step 4: C @ 1 < 270deg
• Step 5: D @ 5 < -180deg
• Step 6: E @ 4 < 270deg
• Step 7: F @ 5 < 0deg
• Step 8: G @ 1 < 270deg
• H Close

Result:- Using Coordinate system methods, P-1 Drawing is shown below

1. Absolute Coordinate system method:

• A (2,1)
• B (2,7)
• C (8,7)
• D (8,6)
• E (3,6)
• F (3,2)
• G (8,2)
• H (8,1)
• Close

2. Relative Rectangular Coordinate method:

• A @ 2,1
• B @ 0,6
• C @ 6,0
• D @ 0,-1
• E @ -5,0
• F @ 0,-4
• G @ 5,0
• H @ 0,-1
• Close

3. Polar Coordinate Method:-

• A @ 6 < 90deg
• B @ 6 < 0deg
• C @ 1 < 270deg
• D @ 5 < -180deg
• E @ 4 < 270deg
• F @ 5 < 0deg
• G @ 1 < 270deg
• H is close

Aim: Using Coordinate system methods, P-2 Drawing is shown below

Procedure: For Drawing P-2, Using these coordinates system methods,

Now using Absolute Coordinate system method

• Using the Line command,
• Step-1: First point is, we have to take the point from the origin and the starting point is given as (2,1).
• Step2: A (2,1)
• Step 3: B (4,8)
• Step 4: C (7,8)
• Step 5: D (9,1)
• Step 6: E (6,1)
• Step 7: F (6,5)
• Step 8: G (5,5)
• Step 9: H (5,1)
• Close

Now using Relative Rectangular Coordinate system method

• Using the Line command,
• Step-1: First point is, we have to take the point from the origin and the starting point is given as (2,1).
• Step 2: A @ 2,1
• Step 3: B @ 2,7
• Step 4: C @ 3,0
• Step 5: D @ 2,-7
• Step 6: E @ -3,0
• Step 7: F @ 0,4
• Step 8: G @ -1,0
• Step 9: H @ 0,-4
• Close

Now using Relative Polar Coordinate system method

• Using the Line command,
• Here there is no angle given in the question. so we have to calculate X and Y distances and we can assume the angles.
• First we have to take from the starting point as 2,1 from A to H and angle is 0deg.
• Then from H to G we have to draw the line usig the given distance and angle is 90deg.
• Later from G to F and F to E and E to D we have to draw the lines using distance given in the drawing and asuume the angle.
• Next from the point A to B, we have to calculate the distance form X direction and Y direction and then we have to draw the line,.
• Next from B to C the distance is given and we have to draw using line command.
• Again from C to D, we have to close the drawing.

Result: Using the same procedure for P-1 drawing, we are designing for P-2 drawing by using above 3 methods.

Absolute Coordinate system,

• A (2,1)
• B (4,8)
• C (7,8)
• D (9,1)
• E (6,1)
• F (6,5)
• G (5,5)
• H (5,1)
• Close

Relative rectangular method:

• A @ 2,1
• B @ 2,7
• C @ 3,0
• D @ 2,-7
• E @ -3,0
• F @ 0,4
• G @ -1,0
• H @ 0,-4
• Close

Polar Coordinate method:

• A @2,1
• B @ 7 < 60deg.
• C @ 3 < 0deg
• D @ 7 < 270deg
• E @ 3 < -180deg
• F @ 4 < 90deg
• G @ 1 < -180deg
• H @ 4 < 270deg.
• Close.

2. Using the Relative rectangular coordinate system, The design is as shown below,

Aim: To design the truss using Relative coordinate method.

Procedure:-

• First we have to take starting point as 0,0.
• using the line command, fisrt point we have to take as @10,0 and draw the line towards X-direction.
• Then Form the last point we have to take in Y-Direction positive as @0,1 and then the next point is towards X-Direction(Negative) as -2,0.
• And then towards Positive Y-Direction, take line @0,4 and draw the line using line command.
• The next point is towards X-direction positive as @2,0 and then towards Y-direction poistive as @0,1.
• Then from the other starting point, the same procedure is repeated and from the end point we have to take angle with the line 5.6 distance.
• For taking the angle, here we have to use polar coordinate method as @ 5.6< 45deg. and then close to the other ending point.

Result:

Profile - Wood

Aim: To design the truss using Relative coordinate method.

Procedure:

• Here the starting point is given as 1,1 and for the starting point by using line command we have to draw the line towards Y-direction positive as length @ 0,4
• Then using line command towards X-direction positive we have to draw the lines as @1,0, @ 2.53,0, @2.53,0 , @1,0.
• Then from the first point using polar coordinate method, we have to take line as @5< 45deg.
• then close to another point.
• Take the centre point and draw the lines as shown in the drawing.

Result:

Queen Post Truss

Aim: To design the truss using Relative coordinate method.

Procedure:

• Take the starting point as 1,1.
• using the line command draw the line from the starting point towards X-direction as positive to the given distance as shown in drawing.
• The point is @2,0, @2,0, @2,0 to the positive side of X-direction.
• From the last point, take the line command and draw the line towards positive Y-direction with the distance of 2, the point will be @0,2
• Then close to the starting point.
• Then draw the lines using line command as shown in the drawing.

Result:

Mono Pitch