Rhombus Problem No.1 - Projection of Planes - Engineering Drawing

TL;DR

A rhombus with diagonals of 70 mm and 40 mm is inclined to the horizontal plane (HP) to form a square in the top view, with an inclination angle of 50 degrees.

Transcript

hello friends here in this video we'll see a problem on projection of planes for that here is a question a rhombus having diagonal 70 mm and 40 mm has one of its corners in hp the rhombus is inclined to hp such that the top view obtained is a square draw the projections and find the inclination with hp so this is the question here i'll explain the ... Read More

Key Insights

• 💬 The given rhombus has diagonals measuring 70 mm and 40 mm.
• 🫥 In the front view, the rhombus appears as a line connecting its four vertices.
• 🫵 The top view of the rhombus can be transformed into a square by lifting point C.
• 🫤 The diagonals AC and BD must be equal in length for the top view to be a square.
• ✈️ The inclination of the plane with the horizontal plane is found to be 50 degrees.
• 💠 The true shape of the rhombus is a rhombus, while the apparent shape is a square in the top view.
• 🫤 The diagonal AC is equal to 40 mm in the transformed square.

Questions & Answers

Q: What are the dimensions of the given rhombus?

The rhombus has diagonals measuring 70 mm and 40 mm.

Q: How does the rhombus appear in the front view?

In the front view, the rhombus appears as a line connecting points A', B', C', and D'.

Q: What condition must be met for the rhombus to appear as a square in the top view?

The diagonals AC and BD must be equal in length.

Q: What is the inclination angle of the plane with the horizontal plane?

The inclination angle of the plane is 50 degrees.

Summary & Key Takeaways

• A rhombus with diagonals of 70 mm and 40 mm is positioned with one corner in the horizontal plane (HP).

• The rhombus is inclined in such a way that its top view appears as a square, with the diagonals AC and BD being equal.

• By fixing point A and lifting point C, the rhombus transforms into a square in the top view.

• The inclination of the plane with the horizontal plane is found to be 50 degrees.