The annual rainfall data at station Axyz and the average annual rainfall values of the neighboring stations are randomly listed below. Using the Double Mass Method, test the consistency of the given data at station Axyz and correct if any discrepancy occurs. What is the estimated Mean Value of Annual Precipitation at Station Axyz? You may use Microsoft Excel. Average Rainfall of the group Annual Rainfall at Year station Axyz 2012 365 320 2017 415 436 2011 471 446 2002 397 462 2013 475 468 1993 387 469 2003 422 491 2005 398 520 2004 454 530 1995 472 530 1998 475 536 2016 546 548 1997 477 578 1994 581 596 2001 547 619 2020 641 625 1992 547 649 2014 641 655 2000 589 656 2009 598 675 1999 630 689 2015 758 710 2019 763 725 2018 758 727 2021 857 833 2006 743 834 1996 812 880 2010 874 924 2008 574 1215 2007 634 1910

The annual rainfall data at station Axyz and the average annual rainfall values of the neighboring stations are randomly listed below. Using the Double Mass Method, test the consistency of the given data at station Axyz and correct if any discrepancy occurs. What is the estimated Mean Value of Annual Precipitation at Station Axyz? You may use Microsoft Excel. Average Rainfall of the group Annual Rainfall at Year station Axyz 2012 365 320 2017 415 436 2011 471 446 2002 397 462 2013 475 468 1993 387 469 2003 422 491 2005 398 520 2004 454 530 1995 472 530 1998 475 536 2016 546 548 1997 477 578 1994 581 596 2001 547 619 2020 641 625 1992 547 649 2014 641 655 2000 589 656 2009 598 675 1999 630 689 2015 758 710 2019 763 725 2018 758 727 2021 857 833 2006 743 834 1996 812 880 2010 874 924 2008 574 1215 2007 634 1910

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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2. Given below are the rainfall data in station S with missing observations for more than three months. Rainfall data in stations A, B and C as index stations are also given. Reconstitute the annual total and the missing monthly values of rainfall in station S using the normal-ratio method and regression correlation analysis. Index Stations Station S A B C Month Total Normal Total Normal Total Normal Total Normal (15yrs) (2007) (15yrs) (2007) 5.6 (2007) (15yrs) (2007) (15yrs) 2.0 January 15.4 2.0 2.1 5.9 22.1 42.4 February 5.5 74.1 5.5 2.5 7.3 5.7 2.8 20.1 March 8.0 31.6 14.1 7.6 10.0 13.8 2.6 33.5 41.3 April May 22.1 53.3 29.1 8.3 25.3 24.1 37.0 missing missing 293.6 127.7 127.4 208.4 189.2 141.5 152.9 June 490.7 524.0 263.3 550.1 273.9 241.7 239.8 July August September missing October 430.5 489.9 474.2 327.8 582.9 314.4 277.7 288.4 531.1 596.0 704.2 448.7 455.1 414.6 224.7 296.7 473.4 407.0 292.6 371.1 303.8 339.7 262.7 missing 54.8 195.0 88.5 82.0 68.6 205.0 240.1 248.4 November…
There are five rainfall gauges on a square plot of land of dimensions 2km x 2km. One of the gauges is located in the centre of the plot. Determine the position of the other four rainfall gauges such that the areal rainfall estimated using the Thiessen Polygon method is exactly equal to the estimate using the arithmetic method. Show how you found the positions.
Problem 4: Use the following table to determine the areal average rainfall using (1) Arithmetic-mean method Area Rainfall represented by station (mi?) Station depth (in) 3.1 4.2 4.5 5.1 5.5 3.5 3.2 5.5 4.3 4.8 m4534 ABCDE
Eight rainguage stations are installed in a catchment and they recorded rainfalls of certain magnitudes. The mean value of rainfalls is 120 cm and standard deviation is 35 cm. The percentage of accuracy associated in the estimation of average rainfall is
Following catchment area includes 20-years of annual rainfall data. If the catchment average rainfall is to be calculated in each year using the Thiessen Polygon method or the Isohyetal method, explain the method you select and reasons. Consider that the both are area-average methods and give reasonably similar answers when the rain gauge network is dense as shown in the figure.
In a catchment, there are four rain-gauge stations, P, Q, R, and S. Normal annual precipitation values at these stations are 780 mm, 850 mm, 920 mm and 980 mm respectively. In the year 2013, stations Q, R, and S, were operative but P was not. Using the normal ratio method, the precipitation at station P for the year 2013 has been established as 860 mm. If the observed precipitation at station Q and R for the year 2013 were 930 mm and 1010 mm, respectively; what was the observed precipitation (in mm) at station S for that year?
A watershed covering 28.16 mi2 has a system of seven rainfall gages, as shown on the map in the Figure. Using the total storm rainfall depths given in the accompanying table, determine the average rainfall over the watershed using: (a) arithmetic averaging and (b) the Thiessen polygon method. Gage ABCDEFG А с P₁ (in.) 5.13 6.74 9.00 6.01 5.56 4.98 4.55 A₁ (mi²) 1.74 6.70 1.77 13.02 0.83 2.68 1.42 28.16 B. . E 1 in. = 3.9 mi .F . G
Question- There are 16 number of rain gauge stations which gives an error of 10% while estimating mean of rainfall. The coefficient of variation of the rainfall will be?
1. Table below shows the rainfall data for the month of January average from the 6 nearby weather station from station X from year 1997-2018. 2. Station X have missing rainfall data, thus needed to estimate. However, a test of consistency or homogenous test is needed before the estimation of the missing data. 3. Perform a homogeneity test and if found inconsistent, perform the double mass curve technique in correcting the data. State all your assumptions. Average January Precipitation from 6 nearby Station with the same climatic condition, mm January Precipitation at Station X, mm Year 1997 1998 34.36 35.01 41.50 42.50 1999 25.87 30.30 2000 40.60 39.04 2001 40.61 37.80 2002 40.06 43.50 30.20 2003 33.02 2004 34.19 36.40 2005 36.75 40.64 2006 37.58 40.40 2007 2008 36.87 29.91 39.23 27.25 21.50 2009 31.04 2010 30.01 2011 28.02 20.40 2012 31.97 31.51 23.31 23.01 2013 2014 33.38 24.20 2015 31.20 2016 32.00 25.10 2017 30.21 27.39 22.50 20.40 2018
Q1: The table below represents the annual average rainfall (mm) for each station A with the average of eight other stations for the period between 1946 and 1967. Check the homogeneity of the records for station A with the other stations and then correct the information using the double cumulative curve method, explaining: A In what year does a change in the fall rate system occur? Which years need to adjust readings? she bwhat C- What is the value of the correction factor for heterogeneous years? station Average 8 station rate 8 stations the your the year A stations A 158 1957 143 177 1946 145 1958 132 144 1947 132 1959 146 178 1948 95 1960 147 162 1949 148 1961 161 194 1950 142 1962 155 168 1951 140 1963 152 196 1952 130 1964 117 144 1953 137] 1965 128 160 1954 130 1966 193 196 1955 163 1967 156 141 1956 164 155 143 115 135 163 135 143 130 146 161
1. In the previous exercise, you perform DMC to correct the data in Station X. Table below is the raw data from the previous exercise. 2. Using the corrected data for station X, estimate the missing rainfall data in station X for the year 2010 and 2015. Average January Precipitation from 6 nearby Station with the same climatic condition, mm 34.36 January Precipitation at Station X, mm Year 1997 35.01 1998 42.50 41.50 1999 25.87 30.30 2000 40.60 39.04 2001 40.61 37.80 2002 40.06 43.50 2003 33.02 30.20 2004 34.19 36.40 2005 36.75 40.64 2006 37.58 40.40 2007 36.87 27.25 2008 29.91 21.50 31.04 2009 39.23 2010 30.01 2011 28.02 20.40 2012 31.97 23.31 2013 31.51 23.01 2014 33.38 24.20 2015 31.20 2016 32.00 25.10 2017 30.21 22.50 2018 27.39 20.40
For the basin shown in Fig. 1, the normal annual rainfall depths recorded and the isohyetals are given. Determine the optimum number of rain-gauge stations to be established in the basin if it is desired to limit the error in the mean value of rainfall to 10%. Indicate how you are going to distribute the additional rain-gauge stations required if any. What is the percentage accuracy of the existing network in the estimation of the average depth of rainfall over the basin? The area between the isohyetals are given below: