Exercise 12 -- Shifting Controls, an example from the Hoosic River

-   Using the measurements shown in the table below, and the rating
    table, rating curve, and rectangular-grid paper for the Hoosic River
    on the following pages, develop shift-by-stage V diagram(s) for
    measurement nos. 774-786. A blank table is included to help you
    compute the shift associated with each measurement.

Measurement information

  -------------- -------------- -------------- -------------- --------------
  No.            Date           G.H.           Discharge      Meas. rated

  774            8-19-87        3.82           859            G

                                                              

  775            10-6-87        3.49           614            G

  776            11-12-87       7.77           5490           F

  777            12-21-87       3.61           702            G

  778            12-29-87       4.24           1160           G

  779            2-2-88         2.70           229            G

  780            3-14-88        3.20           449            G

  781            3-23-88        3.19           441            G

  782            5-5-88         2.66           208            G

  783            6-20-88        4.48           1350           G

  784            7-21-88        5.70           2570           F

  785            9-8-88         5.04           1840           G

                                                              

  786            10-18-88       3.02           365            G
  -------------- -------------- -------------- -------------- --------------

Shift computations

+---------+----------+----------+----------+----------+-------------+
| G.H.    | Measured | Rating   | \% diff  | Rating   | Shift       |
|         | d        | d        |          | GH for   | indicated   |
|         | ischarge | ischarge | (error   | measured | by          |
|         |          |          | in       | d        | measurement |
|         |          |          | measured | ischarge |             |
|         |          |          | Q)       |          |             |
+---------+----------+----------+----------+----------+-------------+
| 3.82    | 859      | 713      | 20.4     | 4.04     | 0.22        |
+---------+----------+----------+----------+----------+-------------+
|         |          |          |          |          |             |
+---------+----------+----------+----------+----------+-------------+
| 3.49    | 614      | 517      | 18.8     | 3.66     | 0.17        |
+---------+----------+----------+----------+----------+-------------+
| 7.77    | 5490     | 5510     | -0.4     | 7.76     | -0.01       |
+---------+----------+----------+----------+----------+-------------+
| 3.61    | 702      | 585      | 20.0     | 3.80     | 0.19        |
+---------+----------+----------+----------+----------+-------------+
| 4.24    | 1160     | 1010     | 15.0     | 4.43     | 0.19        |
+---------+----------+----------+----------+----------+-------------+
| 2.70    | 229      | 175      | 30.8     | 2.86     | 0.16        |
+---------+----------+----------+----------+----------+-------------+
| 3.20    | 449      | 370      | 21.2     | 3.36     | 0.16        |
+---------+----------+----------+----------+----------+-------------+
| 3.19    | 441      | 366      | 20.6     | 3.35     | 0.16        |
+---------+----------+----------+----------+----------+-------------+
| 2.66    | 208      | 162.5    | 28       | 2.80     | 0.14        |
+---------+----------+----------+----------+----------+-------------+
| 4.48    | 1350     | 1200     | 12.5     | 4.65     | 0.17        |
+---------+----------+----------+----------+----------+-------------+
| 5.70    | 2570     | 2430     | 5.6      | 5.81     | 0.11        |
+---------+----------+----------+----------+----------+-------------+
| 5.04    | 1840     | 1710     | 7.4      | 5.17     | 0.13        |
+---------+----------+----------+----------+----------+-------------+
|         |          |          |          |          |             |
+---------+----------+----------+----------+----------+-------------+
| 3.02    | 365      | 292      | 25.1     | 3.19     | 0.17        |
+---------+----------+----------+----------+----------+-------------+

> **BARC output showing %Differences**
>
> ![](media/image1.png){width="3.6972222222222224in"
> height="6.280555555555556in"}
>
> **BARC Shift-bar output with possible V-diagram added.**
>
> ![](media/image2.wmf){width="6.615972222222222in" height="6.28125in"}
>
> ![](media/image3.jpeg){width="8.760416666666666in" height="6.5in"}
>
> ![](media/image4.png){width="8.020833333333334in" height="6.5in"}