Question

tively. If this area is to be leveled at RL-00 m 40) a (112,3, 78.42,5S.21. 32.81. 18.74) m compute the volume of earthwork 10 2 5.5 Problems L. The following are the balanced latitudes & departures 2+55.21+3281)+18.74)-2319.6 m t,...。s e departures for polygon ABCDEA . Compute the total area by coordinates met nates method, if Side Latitude Departme 156.16 coordinate of point A (100, 100y in meters. . Ifthis polygon drawn on map with scale 5 cm-251-BC m. Compute the map area of this polygon in cm AB 75.80 45.55 S7.12 34.96 108.01 41.91 DE 2. Use the grid elevation shown in figure: 6185 EA 70 28 23 23 24 26 Chapter 5 Area and Volume Drae all 3 dong lise All with sodet 1 501 T soul aling the above prtle, de lesel of the wcead oa the Tirst is grakis-1 25. Calculate the drpth of cui·nd fill al ey the sune groued sections If the skdu slope of is earth work betw en poites x &Y ot soul is 2 in 3, and the road walth 20 . compate the volume ot evaled a olume of fil and cut w hich we ood t ekration 23 mt. Use usit area method to determine the wels shown btow were undrtsken duing the cornstnuction of a water piee e line dineter is 1.50 m, wiah a gadent of 1 in 100 downwards from the and at depth of 2.5 mbelow the aufiase. Calculste rolume of eaethwok n00 3. The reduced line. It the pipe Distance (m) 500 0-1-200-T -300-T 400 D.L (m) Cross Sec. Area Volume by Average end area method- Volume by Prismodial methed- levels shown below were undertaken during the construction of a water pipe line. If the pipe line diameter is 1.20 m. with gradient of I in 200 downwands from A to B and with a graient l 100 inom B to C. The starting point A, is "ith depth of 2.0 m below the surface. Calculate depth of cut an each level point and cakculate volume of earthwork. 4. The ground k B(100% 125 150 30 A(0) 690 .20 .0 3.0606.90 00 7. (m) MO25 Distance (rn- G.Lim) 6.70 Chapter 5 Area and Volume

Answer 1

5.5 PROBLEM 1 IS ANSWERED

THE ANSWER IS SOLVED IN EXCEL

ALL THE FORMULAS WERE CLEARLY SHOWN IN PICTURES.

THE FORMULA USED IS CALLED SUEVEYOR'S FORMULA FOR CALCULATION OF AREA OF POLYGON OF ANY NUMBER OF SIDES.

THE ANSWER IS 20358.5 sq.m

Home Insert Page Layout Formulas Data Review View % Cut 2 AutoSum 势リずwrap Text 11 ▼ A" A General Paste Copy B l u. 田, Cr.Δ. = 剉Merge & Center- s-% , 'al;o Cor ditional asorbat styles . Insert Delete Format Sort & Find & 涅, = 2 Clear FilterSelect Cells Clipboard Alignment Editing 114 SIDE LATITUDE LONGITUDE 156.16 AB 53.16 3 45.55 4 75.8 BC 87.12 84.96 CD 41.91 6 DE 108.01 8.74 7 EA 67.85 9 10 VERTEX VERTEXX A (GIVEN) 100 100 100 A (GIVEN 100 12 -C11+C3 -D11+D3 153.16256.16 77.36 13 C12+C4 -D12+D4 301.71 9.76 32.15 216.75 14 -C13+C5 -D13+D 108.74 C14+C6 -D14+D6 15 100 100 16 D15+D7 CHECK FOR A CHECK FOR A -C15+C7 17 18 19 Sheet2· Sheet3 Sheet1 1..-+nl @t4) ▲ 18/05/2019

Bookl - Microsoft Excel Home Insert Page Layout Formulas Data Review View cut 2 AutoSum A Av 剃ョwrap Text General = Copy .r Form at Painter Fil- Paste B 1 u-.-a-a- S. % , 'al;08 Conditional asor mat .styles . Insert Delete For mat 2 Sort & Filter. Find & Merge & Center. # : Clear Select Number Cells Clipboard Alignment Editing L1 AREA OF POLYGON =-| ((KJ2-X2Yİ)) + (X2Y3-X3Vy) + +(A,呂一,A) 4 X1 Y1 X1Y2 X2Y1 X2 6 Y2 X2Y3 X3Y2 X3 Y3 X3Y4 X4Y3 X4 Y4 X4Y5 XSY4 Y5 X5Y1 X1Y5 10 12 13 14 15 16 17 18 19 4 Sheeti Sheet2 Sheet3 13096 ; 9:50 PM ▲ I.. all!磋4) 18/05/2019

Bookl - Microsoft Excel Home Insert Page Layout Formulas Data Review View cut Σ AutoSum 11 T A Av ー-=剃ョwrap Text General Copy Paste,Format Painter Biu, Fill ▲. s-% ,t蠿Conditional as able . Styles . Insert Delete Form at 2Clear % , 'i e Conditional Format Cell Insert Delete Format Formatting as Table Styles Sort & Find & ..涅涅 s Mergeacenter - 2 Clear FilterSelect Number Cells Clipboard Alignment Editing | CHECK FOR A A16 SIDE LATITUDE LONGITUDE AB 156.16 53.16 4 BC 75.8 45.55 84.96 CD 87.12 41.91 6 DE 108.01 8.74 EA 67.85 10 VERTEX A (GIVEN 100 25616 15316 100 10300 153.16 256.16 46209.9036 19816.5 26393.366 12 77.36 13 301.71 16767.78-2944.69 19712.4696 14 9.76 216.751061.3024 6968.51 -8029.8149 32.15 15 108.74 7659 3215 10874 16 CHECK FOR A SUM 100 100 40717.0207 17 AREA 20358.5 m2 18 19. 11 1 ト 커 Sheet1 Sheet2·Sheet3 e 소 Jl18/05/2019