Figure 4 illustrates a railway built from city P and Q at 0 degree, branching off at the point Q to R. Due to the poor land surface from P to R, the point Q must be located at least 10 km to the south P. If the construction works need RM 50 000 per kilometer between P and Q and RM 25 000 per kilometer from Q to R, determine the location of point Q and branch angle e so that the overall construction cost is minimum. Then, prove that this location gives the absolute minimum construction cost. 10 km R 20 km Figure 4

Figure 4 illustrates a railway built from city P and Q at 0 degree, branching off at the point Q to R. Due to the poor land surface from P to R, the point Q must be located at least 10 km to the south P. If the construction works need RM 50 000 per kilometer between P and Q and RM 25 000 per kilometer from Q to R, determine the location of point Q and branch angle e so that the overall construction cost is minimum. Then, prove that this location gives the absolute minimum construction cost. 10 km R 20 km Figure 4

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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