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Descriptive Geometry

Descriptive Geometry

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Descriptive Geometry

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  1. Descriptive Geometry Ref. Descriptive Geometry Metric PARE/LOVING/HILL Fifth edition

  2. Descriptive Geometry • Descriptive Geometry: is the science of graphic representation and solution and space problems

  3. projections • Tow common types of projections: 1) perspective projections (used by architects or artists) 2) orthographic projections (perpendicular to the object)

  4. Principal Views

  5. Draw the profile

  6. Steps to obtain a view • Establish the line of sight. • Introduce the folding line • Transfer distances to the new view • Determine visibility and complete the view

  7. Step 1: Establish the line of sight. Primary Auxiliary Views Step 2: Introduce the folding line Step 3: transfer distances a,e d,h y b,f c,g H 1 Step 4: determine visibility and complete view D2 1 D1 D y h d g k1 e D2 c y f a D1 f,e g,h b b,a c,d

  8. All views projected from top view has the same height dimension

  9. Primary Auxiliary Views

  10. View 1 is an auxiliary view projected from the front View

  11. All the views projected from front view have the same depth dimension

  12. Edge View of a plane

  13. Chapter 3: LINES

  14. Frontal Line

  15. Frontal Line

  16. the true angel between a line and any projection plane appears in any view shows the line in true length and the projection plane in Edge View.

  17. Level (Horizontal) Line

  18. Level Line

  19. Profile Line

  20. Profile Line

  21. True Length of an Oblique Line

  22. True Length of an Oblique Line

  23. Bearing , Slope, and Grade N N aH aH S55oE 55 b b Bearing: a term used to describe the direction of a line on the earth’s surface

  24. Azimuth Bearing N aH aH 125o N125o b b

  25. problem • A 160-m segment AB of a power line has a bearing of N 60o and a downward slope of 20o from the given point A. Complete the front and top views. ah aF

  26. D1 D1 D1 D1 b 1 20o H 160 m N b N 60o a1 ah H F aF b

  27. Grade Grade: another way to describe the inclination of a line from the horizontal Plane

  28. Grade

  29. Chapter 4 Planes

  30. Points and lines in Planes

  31. Locating a Point in a Plane • Problem: Given the front and side views of a plane MON and the front view of a point A in the plane. Determine the side view n n m m aF x oF oP

  32. Solution n n m Y m Y aF x aPx X X oF oP

  33. Lines in Planes b g c aH e b aF c e Complete the front view

  34. Lines in Planes b x g c aH e b aF x g c e