Design of Terraces
Suppose a bench terrace is to be constructed on a hill with a 30% slope. The soil type and the
soil depth of the said hill can support the growth of kalamansi shrub. The width of the surface of
bench is 1 m and the vertical distance is 2 m (i) horizontal interval or width, (ii) length of terrace
per hectare, (iii) earth work required per hectare, and (iv) area lost per hectare both for vertical
cut and batter slope of 0.5:1 is shown below.
i) The horizontal interval
100 D 100(2 m)
W= = =6.667 m
S 30
ii) Length of terrace per hectare
10,000 ha
L= =1,499.925 m
6.667 m
iii) Earthwork per hectare
Earth work per hectare=Crosss−sectional area of cut∗length of terrace/ ha
1
∗6.667 m
2
∗2m
2
Earth work /hectare= ∗1,499.925 m=2,499.999 m3 ≈ 2,500 m 3
2
iv) Area lost
Area Lost =
√( D +W
2 2
) −W
∗100=√ ¿ ¿ ¿
√ D +W2
2
When batter slope is ½:1, using equation
2WS
D=
( 200−S )
( 200−S ) D ( 200−30 ) 2m
W= = =2. 83 m
2S 2 ( 60 )
Length per hectare
10,000 10,000
Length per hectare= = =2,309.469 m/h
2.83 m+0.5 m+1 m 2
Earthwork per hectare
Earth work / hectare=
1
2 (( 6.667 m
2 )∗1 m2−
2m
2( ) )
∗0.5 m 2 ∗1,499.925 m=2,125.019m 3 ≈ 2,125 m3
Area lost for cultivation
S +200 30+ 200
Area lost for cultivation= = =33.014 %
200 S 200 30
+ +
S 100 30 100
Other considerations
Reverse height
RH =Width of platform∗10 %=1 m∗0.10=0.1 m
Height of Riser
Verticalinterval+ RH ( 2m+0.1 m )
Hr= = =1.02m
2 2
Width of riser
Wr=Hr∗U ; U=0.75−1
Wr=1.02 m∗1=1.02
Width of ditch
Wt=Width of platform+2 Wr=1m+2 ( 1.02m )=3.04 m
Inclined distance
Verticalinterval
Inclined Distance= =2m/sin 30=4 m
sine of slope