How to Draw Projections of a Line Inclined to Both Planes

TL;DR

To draw the projections of a line inclined to both horizontal and vertical planes, start by locating the endpoints based on the given angles and distances. Use angles of 30 degrees and 45 degrees for inclination, and measure the true length of the line, which is 70 mm. Finally, project the apparent lengths to complete the drawing correctly.

Transcript

hello friends here in this video we will see a problem on projection of lines inclined to both the planes the question is a line a b 70 mm long is inclined at an angle of 30 degree to hp and 45 degree to vp its end point a is 10 mm above hp and 20 mm in front of vb draw the projections of the line a b assume complete line to be in the first quadran... Read More

Key Insights

• 🫥 The problem involves drawing projections of a line inclined to both HP and VP.
• 🫥 The line's length, inclination angles, and coordinates of one endpoint are provided.
• 🫥 The solution requires locating points A and A' and measuring the true length of the line.
• 😥 Apparent lengths are determined by projecting points B1' and B2'.

Questions & Answers

Q: What are the given parameters in the problem?

The given parameters include the length of line AB (70 mm), its inclination angles (30 degrees with HP and 45 degrees with VP), and the coordinates of point A (10 mm above HP and 20 mm in front of VP).

Q: How is point A located in the front view and top view?

Point A is located 10 mm above HP in the front view and is represented as A'. In the top view, point A is directly above A' and is referred to as A.

Q: How are the angles with HP and VP measured?

The angle of inclination with HP (30 degrees) is measured from A' and is visible in VP. The angle of inclination with VP (45 degrees) is measured from point A and is visible in HP.

Q: What is the purpose of projecting points B1' and B2'?

Points B1' and B2' are projected to determine the apparent length of the line AB in the front view. These points are located by measuring the true length from A' and vertically projecting it above the horizontal line (B1') and below the horizontal line (B2').

Summary & Key Takeaways

• The problem involves a line AB that is 70 mm long and inclined at angles of 30 degrees to the horizontal plane (HP) and 45 degrees to the vertical plane (VP).

• Point A is located 10 mm above HP and 20 mm in front of VP. The task is to draw the projections of line AB in the first quadrant.

• The solution involves determining the front view and top view of the line, as well as the apparent lengths, using a series of construction steps and measurements.