Area Cross-section

Written by Jerry Ratzlaff on . Posted in Solid Geometry

area cross section cube 1area cross section pipe 1Area cross-section, abbreviated as \(A_c\), is a two-dimension plane slice of a three-dimension plane.

 

 

 

 

 

 

 

 

Area Cross-section formulas

\(\large{ A_c = \frac{ Q }{ k \; i }   }\) 

\(\large{ A_c =  r_h \; P_w  }\) 

\(\large{ A_c =  z \; h^2  }\) 

\(\large{ A_c =  h_m \; T  }\)

\(\large{ A_c =  \frac{ Q }{ v }   }\)

\(\large{ A_c =  d_h \; w  }\)

\(\large{ A_c =  \frac{ r^2 \;\left( \theta \;-\; sin \; \theta  \right)  }{ 2 }   }\)

\(\large{ A_c =  \pi \; r^2 - \frac{ r^2 \left( \theta \;-\; sin \; \theta  \right)  }{ 2 }   }\)

\(\large{ A_c = \frac{ v_s \;  A_v}{ v}   }\)

Symbol English Metric
\(\large{ A_c }\) = area cross-section \(\large{ft^2}\) \(\large{m^2}\)
\(\large{ A_v }\) = area cross-section of voids \(\large{ft^2}\) \(\large{m^2}\)
\(\large{ \theta }\)   (Greek symbol theta) = degree \(\large{deg}\)

\(\large{rad}\)

\(\large{ Q }\) = flow rate \(\large{\frac{ft^3}{sec}}\) \(\large{\frac{m^3}{s}}\)
\(\large{ h }\) = fluid depth \(\large{ft}\) \(\large{m}\)
\(\large{ w }\) = fluid top width \(\large{ft}\) \(\large{m}\)
\(\large{ k }\) = hydraulic conductivity \(\large{\frac{ft}{day}}\) \(\large{\frac{m}{day}}\)
\(\large{ d_h }\) = hydraulic depth \(\large{ft}\) \(\large{m}\)
 \(\large{ i }\) = hydraulic gradient \(\large{dimensionless}\)
 \(\large{ r_h }\) = hydraulic radius \(\large{ft}\) \(\large{m}\)
\(\large{ h_m }\) = mean depth \(\large{ft}\) \(\large{m}\)
\(\large{ \pi }\) = Pi \(\large{3.141 592 653 ...}\)
\(\large{ r }\) = radius \(\large{ft}\) \(\large{m}\)
\(\large{ v_s }\) = seepage velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ v }\) = velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ P_w }\) = wetted perimeter \(\large{ft}\) \(\large{m}\)
\(\large{ z }\) = width of channel slope \(\large{ft}\) \(\large{m}\)
\(\large{ T }\) = width of water surface top \(\large{ft}\) \(\large{m}\)

 

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Tags: Area Equations Surveying Equations