Setting Out, Theodolites and Total Stations BE1S204 David Harper

Introduction to today’s lecture Setting out – using a tape measure Setting out – using a theodolite or total station

Setting out - using a tape measure C a b A c B a² = b² + c² b² = a² - c² c² = a² - b²

Setting out – using tape measure (cont.) X = √8² + 12² = 14.422 Tape Tape Where X and 8 cross on the two tape measures, this is where you place your peg and nail. C D If point C is correct, then repeat process for D. If C and D are correct, check the distance between them both is exactly 12 metres. X 8 A 12 B

Setting out – using a theodolite or total station 27.333 SOHCAHTOA Sine = Opposite ÷ Hypotenuse Cosine = Adjacent ÷ Hypotenuse Tangent = Opposite ÷ Adjacent 35.000 What is the value of angle ? Tan Ѳ = Opposite ÷ Adjacent Ѳ = Tan -1 x (Opposite ÷ Adjacent) = Tan -1 x (27.333 ÷ 35.000) = 37 o 59’ 16” ?

Setting out – using a theodolite or total station (cont.) 12.508 What is the value of X: X = √3.827² + 12.508² = 13.080 3.827 X What is the value of angle ? Tan Ѳ = Opposite ÷ Adjacent Ѳ = Tan -1 x (Opposite ÷ Adjacent) = Tan -1 x (12.508 ÷ 3.827) = 72.98776577 = 72 o 59’ 16” ?

Setting out – using a theodolite or total station (cont.) Peg & nail 72O59’16” 00O00’00” 12.508 Calculating the distance and angle using a modern Casio calculator? Pol(Adjacent,Opposite) Pol(3.827,12.508) r = 13.0803667 Ѳ = 72.98776577 = 72 o 59’ 16” 3.827 13.080 90O00’00” Theodolite

Setting out exercise using Total Station Objective To set out and check a simple building plot to a tolerance of ± 10 mm. Tasks Perform the necessary calculations required to complete the task i.e. calculate angle and distance. This will involve Trigonometry. Set up the Total Station at M12, sight to station M15 and set the horizontal circle to 00o00’00.” Set out points A and F along this line. Move the Total Station to set up over point A, sight point F and set to 00o00’00.” Turn the Total Station to the calculated angles and set out pegs and nails at the correct distances. Carry out the relevant checks to confirm accuracy.

Setting out exercise using Total Station (cont.)

Setting out exercise using Total Station (cont.)

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Setting out exercise using Total Station (cont.) Opp Adj C B D E Opp M12 F 00O00’00” A M15 00O00’00” 17.000 m Adj

Setting out exercise with Total Station – table to be completed

Setting out exercise with Total Station – calculations completed

Summary of today’s lecture Setting out – using a tape measure Setting out – using a theodolite or total station