Free station Calculations

A very accurate solution is required for the location of a holding down bolt on a compressor within a range of +/- 5mm. Three precise pins are located surrounding the bolt at positions A, B & C at:

A= 86.404mN, 32.942mE. B= 58.130mN, 41.699mE. C= 67.297mN, 13.555mE.

Un-orientated a surveyor observes and measures the pins from the bolt position (HB) as: HB ~ A; 400 10' 20", 16.670. HB ~ B; 1650 25' 10", 16.656. HB ~ C; 2900 40' 30", 16.666.

Compute 3 free-station positions using; 1/ HB, A, B 2/ HB, B, C & 3/ HB, C, A, establishing 3 HB positions to 3dp.

Step by step solution with Calculations