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Rural Infrastructure Planning with emphasis on road network connectivity by Coplanar Concurrent Theory
Step 2: Mandal head quarters is identified and it is taken as the origin for drawing an arbitrary axis.
Step 3: The angle of deviation of every village with respect to Mandal head quarters is measured. Step 4: Each force is then resolved into components that coincide with choosen axis. Step 5: The components of each force with respect to these axes can be added algebraically and the resulting additions will be the components of the overall resultant vector (Rx & Ry ) Thus 
qx gives the direction of the resultant. Therefore, the orientation of the corridor from the Mandal headquarters is obtained. Step 6: Calculate the force of attraction between Mandal head quarters and each node by Gravitational formula. The data used is scores (Force) of villages and distance of separation. The village with highest force of attraction is identified and network is proposed in that direction. A line is drawn connecting this village centroid with Mandal Head Quarters. Thus, another lead from Mandal Head Quarters is obtained The force of attraction between the village and mandal headquarters is F1 = Sv *Smh / d2 v-mh Where Sv = Score of village Smh = Score of Mandal Head Quarters dv-mh = distance of separation of the village from Mandal Head Quarters. Step 7: Calculate the moment of each village with respect to Mandal Head quarters. The higher the moment of the village, more importance the village gets in connection. Thus, M =Sv *d Where Sv = Score of the village dv-mh = distance of separation of the village from the Mandal Head Quarters The village with highest moment is identified and this village is connected with the Mandal Head Quarters. Step 8:Develop the road network with respect to the derived resultants. From the above three resultants, each user node is connected to the respective resultants at a minimum path on the consideration road pattern. This approach controls the hierarchical maintenance of the road. 
Mandal P Representation of forces in a mandal MHQ =Mandal Head Quarters Sv1,Sv2,Sv3 etc =Scores of Village 1, Village 2, Village 3etc Application of methodology: This analysis has confirmed the need spatial planning of road network configuration, which can achieve desired results of economic, social interaction and overall development of a region. The study is attempted on the Medak district of Andhra Pradesh, India. This district consists of 45 mandals in which there are 1265 villages. In this district, most of the villages are inhabited, accounting to 92.27% of the total population of the district. In most of the villages, the population range is from 500 to 999. The methodology is applied in the following steps. Module 1: Development of Layer1: Existing boundaries derived from the secondary sources are shown in fig1.  Fig 1: Layer1: District and Village boundaries map of Medak District Module 2: Development of Layer2 Existing network is developed from the satellite data and topo sheets using ERDAS software and is shown in fig 2.  Fig 2: Layer2 : Existing road network details from satellite data and toposheets Module 3: Development of road network from coplanar concurrent theory (Layer3): Determination of the score of the villages : The following attributes have been selected for each of village from the town and village directory of the district, - Total number of households, - Total population, - Educational facilities(Primary school, Middle School, Secondary School, Junior College, College Industrial school etc.,) - Medical facilities (Hospital, Maternity and Child welfare center, health care, Dispensary, T.B.Clinic, Family planning center etc.,), - Drinking water (Tap, well, tank, tubewell, handpump, river, fountain, canal etc.,) - Post and telegraph (Post Office, telegraph office, telephone connection etc.,) - Communications (Bus stop, Railway station, waterway etc.,) - Approach to a village (Pucca road, Kachcha road, Foot path, Navigable river etc.,) - Power supply (Electricity for domestic purpose only, Electricity for agriculture purpose only, Electricity for other purpose like industrial, commercial etc., Electricity for all purpose listed above) A sample calculation of the score of a village named " Telema" in the Angole mandal of Medak district, Andhra Pradesh, India is shown below: Name of the village: Telema Number of Households = 343 Population of the village = 1949 Amenities available: Educational : P, AC (5,50) Medical: Within 5 -10 kms(20) Driniking water(Potable): W, HP( 40,30) Post and Telegraph : -5(20) Communicaions: -5 (20) Approach to village: KR(40) Power supply: ED, EAG(50,50) The values in the brackets indicate the points. Hence the score of the village Sv = 375 (Summation of all the above points). Thus the scores were calculated for all the villages and all the mandals. The following table2 shows the scores for one mandal named "Andole"
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