Rotation Due to Moment Calculator

Posted by Dinesh on

Use the simple rock movements calculation tool helps to compute the rotation due to moment for your hydraulics and waterworks problems. If the ends of the arch elements are vertical, and the bases of the cantilever elements, horizontal, rock rotations and deflections of elements with parallel sides 1 ft apart may be calculated by the formula: α' = (M * K1) / (Er * t2).

Values of K Constants in Eqs. (12.193) to (12.198) for Poisson’s Ratio = 0.20
Values of K
Values of b/aK1K2K3K4K5
1.04.320.621.024.650.345
1.54.650.781.234.800.413
2.04.840.911.395.180.458
3.05.041.101.605.640.515
4.05.151.251.775.900.550
5.05.221.361.896.080.574
6.05.271.472.006.200.592
8.05.321.632.176.370.614
10.05.361.752.316.460.630
15.05.411.982.556.590.653
20.05.432.162.726.660.668

Rotation Due to Moment - Rock Movements Calculation

Formula:

α' = (M × K1) / (Er × t2)

where,
  • M - Arch and cantilever moments
  • Er - Elastic modulus of the rock
  • t - Radial thickness of the element
  • K1 - Poisson’s ratio constant
  • α' - Rotation due to moment