• Home
  • Download PDF
  • Order CD-ROM
  • Order in Print
Earthwork Computations - 14070_205
AREA  OF  FIVE-LEVEL  OR  IRREGULAR SECTION - 14070_207

Engineering Aid 1 - Advanced Structural engineering guide book
Page Navigation
  184    185    186    187    188  189  190    191    192    193    194  
trapezoids.  Then,  by  computing  the  area  of  each triangle and trapezoid and determining the sum of the areas, you obtain the area of the polygon. Take, for example, the plot of station 305 + 00 shown in figure 10-4. Figure 10-5 illustrates how this figure can be resolved into two triangles,  ABH and DFE, and two trapezoids,  BCGH  and CGFD. For each of  these  figures,  the  approximate  dimensions  have been determined by the scale of the plot. From your knowledge  of  mathematics,  you  know  that  the  area  of each triangle can be determined using the following formula: Where: s = one half of the perimeter of the triangle, and that for each trapezoid, you can calculate the area using  the  formula: When the above formulas are applied and the sum of the results are determined, you find that the total area  of  the  cross  section  at  station  305  is  509.9 square feet. AREA BY FORMULA.—  A  regular  section  area for   a   three-level   section   can   be   more   exactly determined by applying the following formula: Figure 10-4.—A cross section plotted on cross-section paper. Figure  10-5.—Cross  section  resolved  into  triangles  and  trapezoids. 10-8







Western Governors University

Privacy Statement
Press Release
Contact

© Copyright Integrated Publishing, Inc.. All Rights Reserved. Design by Strategico.