The distance between end projectors of line AB is 60 mm. The end A is 25 mm above HP and 45 mm in front of the VP, while the other end B is 60 mm above HP and 15 mm in front of the VP. Draw the projections and find the true length and also inclination of line with HP and VP.
Distance between End Projectors (DBEP) = 60 mm
a’ (↑) = 25 mm
a (→) = 45 mm
b’ (↑) = 60 mm
b (→) = 15 mm
Follow the procedure given below step by step to draw the projection of line –
Draw XY line.
Mark a’ and a at 25 mm above XY line and 45 mm below XY line respectively.
Draw horizontal line from a’ and a.
Mark b’ and b at 60 mm above XY line and 15 mm below XY line respectively.
Draw horizontal line from b’ and b and name it locus of b’ and locus of b respectively.
Mark a point at DBEP = 60 mm measuring from point a’ and draw a vertical line from that point.
This vertical line will cut the locus of b’ and locus of b at. Mark that point b’ and b respectively.
Join a’b’ (FV) and ab (TV).
Taking a’ as center and a’b’ as radius draw an arc which will cut the horizontal line passing through a’, mark that point b2’.
Join a’b2’ (EL).
Taking a as center and ab as radius draw an arc which will cut the line passing through a, mark that point b1.
Join ab1 (PL).
Take the projection of b1 into FV (Draw a vertical line from point b1) which will cut the locus of b’. Mark that point b1’.
Join a’b1’ (TL).
Take the projection of b2’ into TV (Draw a vertical line from point b2’) which will cut the locus of b. Mark that point b2.
Join ab2 (TL).
Measure the TL and true inclinations θ and Φ.
Answers – i) TL = 77 mm
ii) θ = 27°