Q.A line LM 70mm long, has its end L 10 mm above H.P and 15 mm infront of V.P. Its top view and front view measures 60 mm and 40 mm respectively. Draw the projection of the line and determine its inclination with H.P. and V.P.

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Q.A line LM 70mm long, has its end L 10 mm above H.P and 15 mm infront of V.P. Its top view and front view measures 60 mm and 40 mm respectively. Draw the projection of the line and determine its inclination with H.P. and V.P.

SOLUTION


Construction: Steps to be followed:

1. Draw a horizontal xy line.

2. The point L is 10 mm above H.P., therefore mark L’ 10 mm above xy. The point L is 15 mm in front of V.P., therefore mark L. 15 mm below xy.

3. Given top view length as 60 mm. So draw a line from parallel to xy such that L*m_{1} = 60mm

4. From my draw a vertical projection. With L’ as centre and true length 70 mm as radius draw an arc to intersect the above projection at m_{1}’

5. Join L’m’ then we get the angle of inclination with HP. Le,

6. Draw the locus of m. With L’ as centre and front view length 540 mm as radius draw an arc to intersect the locus of m at Thus the front view of Lm. (FV) m_{1}

7. Draw L’, m_{2}’ = 40 mm parallel to xy

8. From m_{2}’ draw a vertical projection with L as centre and true length 70 mm as radius draw an arc to intersect the above projection at m ^ 2

9. Join Lma and measure phi = 55 deg

10. Through m₂ draw the locus of m. With L as centre and 60 mm as radius draw an arc to cut the locus of m at m. Join Lm (T.V).

11. Check m and m’ should lie on the same projection.

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