Download presentation

Presentation is loading. Please wait.

Published byGrady Brittain Modified over 2 years ago

1
E4004 Surveying Computations A Two Missing Bearings

2
Derivation of Formula Consider line RS R S P If distances RP and PS are known the position of P is also known The intersection of two distances

3
Derivation of Formula But P could also lie on the other side of RS R S P P’ There are always two solutions in a two missing bearing problem

4
Derivation of Formula In the triangle RSP the bearing and distance RS will be known and the distances SP and PR will be provided R S P The direction of the bearings are important D2 MB MD D1 From a surveying viewpoint

5
Derivation of Formula Each angle can be solved with the cosine rule R S P D2 MB MD D1 We have a triangle with three known sides

6
Derivation of Formula R S P D2 MB MD D1 A B C a b c

7
Derivation of Formula R S P D2 MB MD D1 A B C a b c B C A c a b

8
Derivation of Formula The same formula apply for the second triangle R S P P’ MB MD D1 D2 Again the bearing directions are important

9
Derivation of Formula Angles R & S have been calculated R S P P’ MB MD R R S S B1 B2 B1’ B2’ LEFT of line RS RIGHT of line RS

10
Summary of Formula R S P P’ MB MD R R S S B1 B2 B1’ B2’ LEFT of line RSRIGHT of line RS

Similar presentations

OK

The Law of COSINES. Objectives: CCSS To find the area of any triangle. To use the Law of Cosine; Understand and apply. Derive the formula for Law of Cosines.

The Law of COSINES. Objectives: CCSS To find the area of any triangle. To use the Law of Cosine; Understand and apply. Derive the formula for Law of Cosines.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on railway reservation system in java Jit ppt on manufacturing engineering Ppt on environmental studies Slides for ppt on pollution control Slide show view ppt on iphone Hrm ppt on recruitment strategies Ppt on management by objectives ppt Download ppt on live line maintenance usa Ppt on testing of circuit breaker Ppt on social networking addiction