# Rotation Due to Moment Calculator

Posted by Dinesh onUse 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: `?`

.^{'} = (M * K_{1}) / (E_{r} * t^{2})

Values of K | |||||

Values of b/a | K_{1} | K_{2} | K_{3} | K_{4} | K_{5} |

1.0 | 4.32 | 0.62 | 1.02 | 4.65 | 0.345 |

1.5 | 4.65 | 0.78 | 1.23 | 4.80 | 0.413 |

2.0 | 4.84 | 0.91 | 1.39 | 5.18 | 0.458 |

3.0 | 5.04 | 1.10 | 1.60 | 5.64 | 0.515 |

4.0 | 5.15 | 1.25 | 1.77 | 5.90 | 0.550 |

5.0 | 5.22 | 1.36 | 1.89 | 6.08 | 0.574 |

6.0 | 5.27 | 1.47 | 2.00 | 6.20 | 0.592 |

8.0 | 5.32 | 1.63 | 2.17 | 6.37 | 0.614 |

10.0 | 5.36 | 1.75 | 2.31 | 6.46 | 0.630 |

15.0 | 5.41 | 1.98 | 2.55 | 6.59 | 0.653 |

20.0 | 5.43 | 2.16 | 2.72 | 6.66 | 0.668 |

## Rotation Due to Moment - Rock Movements Calculation

### Formula:

?^{'} = (M × K_{1}) / (E_{r} × t^{2})

- M - Arch and cantilever moments
- E
_{r}- Elastic modulus of the rock - t - Radial thickness of the element
- K
_{1}- Poisson’s ratio constant - ?
^{'}- Rotation due to moment