Q.4. Compute by DMDs the area in hectares within a closed-polygon traverse ABCDEFA by placing the X and Y axes through the most southerly and most westerly stations, respectively. Departures and latitudes (in meters) follow. AB: E dep. 30, N lat. = 40; BC: E dep. = 70, N lat. = 10; CD = E dep. = 30, S lat = 50; DE: W dep = 60, S lat. = 40; EF: W dep = 90, S lat = 30; FA: E dep. = 20, N lat = 70.

Q.4. Compute by DMDs the area in hectares within a closed-polygon traverse ABCDEFA by placing the X and Y axes through the most southerly and most westerly stations, respectively. Departures and latitudes (in meters) follow. AB: E dep. 30, N lat. = 40; BC: E dep. = 70, N lat. = 10; CD = E dep. = 30, S lat = 50; DE: W dep = 60, S lat. = 40; EF: W dep = 90, S lat = 30; FA: E dep. = 20, N lat = 70.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Area Computations

The area is the mathematical estimation of the inner space occupied by any shape or object and area computation is the evaluation of how much inner space that particular shape or object has utilized. Simple applications include calculating the area of wall for the quantity of paint or plaster to be applied on it, area calculations for construction of a trapezoidal dam and how much material is required, calculating the area of a circle to determine the range or distance of wheels that they are capable of covering due to varied radii and so on.

Question

Q.4. Compute by DMDs the area in hectares within a closed-polygon traverse ABCDEFA by
placing the X and Y axes through the most southerly and most westerly stations, respectively.
Departures and latitudes (in meters) follow. AB: E dep. 30, N lat. = 40; BC: E dep. = 70, N lat. =
10; CD = E dep. = 30, S lat = 50; DE: W dep = 60, S lat. = 40; EF: W dep = 90, S lat = 30; FA: E dep.
= 20, N lat = 70.

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Compute by DMDs the area in hectares within a closed-polygon traverse ABCDEFA by placing the X and Y axes through the most southerly and most westerly stations, respectively. Departures and latitudes (in meters) follow.AB: E dep. = 30, N lat. = 40; BC: E dep. = 70, N lat. = 10; CD: E dep. = 30, S lat. = 50; DE: W dep. = 60, S lat. = 40; EF: W dep. = 90, S lat. = 30; FA: E dep. = 20, N lat. = 70
Q1/A tract ofland has three straight sides AB, BC and CD. The fourth side DA, is irregular. The dimensions ofthe sides are as below: AB = 168m, BC=255m, CD= 180m, DA= 240m, AC= 340m To determine the area of the tract with irregular boundary, the offsets measured outside from the side AD to the irregular boundary are as below: Chainage from A (m) Offset (m) 60 120 180 240 0.0 5.8 1.5 4.8 0.0 4.8 m 5.8 m 1.5 m 180 120 60 340 m 168 m 180 m 25 m Calculate the area of the tract in hectares
Draw profile ? note//Lengthe of each station is 10m .
2) A surveyor sets up a transit at P which is located in the middle portion of a four- sided tract of land and reads directions and measures distances, as given below, to the five corners. Find the area of the tract, in square meters. LINE BEARING DISTANCE N 41030' W Ν 38010, Ε S 70°20' E S 60°15' W AP 410.52 m ВР 532.18 m CP 450.75 m DP 590.08 m
Topic: Surveying The sides if a square lot having an area of 2.25 hectares were measured using a 100 m tape that was 0.04 m too short. Compute the error in sq. m. a. 18.0036 sq. m. b. 11.9984 sq. m. c. 17.9964 sq. m. d. 12.0016 sq. m.
A parcel of land has been surveyed in the field and the lengths and bearings of the various sides are shown: a. Compute the error of closure for the traverse. b. Compute the precision of linear measurement. Determine the included area (using DPD method) within the traverse in acres. LINES AB BC CD DA BEARINGS N53' 27' E $ 66' 54'E $ 29'03' W N 52'00' W T DISTANCES (m) 59.82 70.38 76.62 95.75
Compute the area enclosed within polygon ABDFGA of Figure given below using triangles.
Surveying Quest3
AREA BY DPD. In the accompanying tabulations are the adjusted latitudes and adjusted departures of two traverse. By employing the double parallel distance method, determine the area (in sq.m. and ha.) of each traverse. ADJUSTED LATITUDE ADJUSTED DEPARTURE LINE +N -S +E -W AB 420.75 713.84 BC 296.08 693.05 CD DE 894.37 405.36 501.25 926.54 EF 386.42 695.04 FA 884.53 190.67 Sums +1691.70 -1691.70 +1812.25 1812.25 ADJUSTED LATITUDE ADJUSTED DEPARTURE COURSE +N -S +E -W |-2 299.30 295.58 223.56 245.77 2-3 338.05 3-4 24.52 8.05 381,36 230.52 4-5 463.09 5-6 6 - 1 626. 11 309. 87 Sums +949.93 -949.93 +772.96 -772.96
A tract of land with a data given below is to be divided into two equal parts by line EF which is a north-south line. Compute the distance of station D from point E. The lines CG and AC are just trial lines. Course AB Bearing S 25°13' E S 41°32' W Distance 25.68 m BC 27.75 m CD N 64°53' W 45.68 m N 63°15' E 54.67 m E DA B
Use four decimal places.
. Problem 1 Compute the area within the following traverse using the Coordinate method and CHECK by the DMDS method Balanced Coordinates Course Dep Lat Point X Y AB -226.9846 98.7106 A 709,489.434 709,262.449 709,176.011 709,061.165 709,361.616 708,846.452 G 709,568.788 709,682.105 I 709,563.827 121,072.089 121,170.800 120,992.637 120,797.489 120,807.032 120,287.159 120,244.663 119,715.939 120,610.402 BC -86.4386 -178.1623 CD -114.8457 -195.1486 C DE 300.4512 9.5436 EF -515.1646 -519.8733 日 FG 722.3360 -42.4958 F GH 113.3175 -528.7245 HI -118.2782 894.4631 IA -74.3929 461.6870