Question

While aligning a hill road with a ruling gradient of 6%, a horizontal curve of 75 m radius is encountered. The compensated gradient at the curve will be

• A. 1 %
• B. 3 %
• C. 5 %
• D. 2 %

Answer 1

The correct option is C 5 %

Radius of horizontal curve = 75 m

$\text{Grade compensation}=\frac{30+R}{R}\le \frac{75}{R}$

$=\frac{30+75}{75}=1.4$

$\text{and}\frac{75}{R}=\frac{75}{75}=1\%$

So, grade compensation = 1 %

$\therefore \text{Compensated gradient}$

$=\text{Ruling Gradient}-\text{Grade Compensation}$

$=6\%-1\%=5\%$