Understanding Bench Terrace Dimensions
The question requires finding the formula for the drop (D) of a bench terrace. The given parameters are the terrace width (W), the existing land slope (S), and a fixed batter slope of 150%.
Calculating Terrace Drop (D)
In terrace construction, the dimensions are related by specific formulas derived from geometric principles. For the given conditions:
- Terrace Width: $W$
- Existing Land Slope: $S$ (typically represented as a percentage)
- Batter Slope: 150% (meaning a rise of 1.5 units for every 1 unit of horizontal distance, or 3 vertical units for every 2 horizontal units)
The formula relating these variables to find the drop (D) is:
$D = \frac{3WS}{(300-2S)}$
Formula Breakdown
This equation provides the vertical drop (D) required for the terrace. It directly depends on the terrace width (W) and the original land slope (S). The constants in the formula account for the specific 150% batter slope requirement and its interaction with the existing terrain.
- D represents the vertical drop.
- W is the horizontal width of the terrace bench.
- S is the original slope of the land, usually in percent.
- The 150% batter slope condition is integrated into the coefficients of the formula.
This formula is essential for accurate terrace design in civil and agricultural engineering.
Important Questions from Terraces
- Bench terraces are planned on $15\%$ hill slope. The vertical interval is $2.5\text{ m}$, and the riser has a slope of $1:1$. The earthwork in cutting is equal to the earthwork in filling. The volume of earthwork per hectare (in $\text{m}^3\text{.ha}^{-1}$) is ________ (Rounded off to the nearest integer)
Hilly areas receiving heavy rainfall, where a major portion of the rainfall is to be drained as surface runoff, are suggested to adopt bench terraces with ____________.
- Bench terraces are to be constructed on a 15% hill slope. The batter slope is 1:1 and vertical interval is 2.5 m. The earth work in cutting is equal to filling. The quantum of earthwork in $m^3 ha^{-1}$ will be
- It is proposed to construct bench terraces on a 10% hill slope. If the batter slope is $\frac{1}{2} \text{ H} : 1 \text{ V}$, the percentage area that will be lost for cultivation due to bench terracing is
- For the eastern Himalayan region having hill slope of 16%, a bench terrace system is to be designed. It is found that the depth of cut for constructing the bench terrace cannot be more than 0.40 m due to the limitation of the soil depth. If a batter slope of $1\frac{1}{2}:1$ is proposed, the maximum possible width of the terrace and the required earthwork per hectare (assuming cut equal to fill) will be
