The centerline of a new railway line is to be set out along a valley. The first straight AI bears 75, while the connecting straight IB bears 120'; due to site condition, it has been decided to join the straights compound curve. The first curve of the radius is 500 m commenced at T1, situated 300 m from I on straight AI, and deflects through an angle of 25'before joining 2nd curve has deflected an angle of 20. Calculate the radius of the 2d curve and distance of tangent point T: from I on the straight IB. Hint A= 45°. Figure (1) illustrates the layout of the curve.

The centerline of a new railway line is to be set out along a valley. The first straight AI bears 75, while the connecting straight IB bears 120'; due to site condition, it has been decided to join the straights compound curve. The first curve of the radius is 500 m commenced at T1, situated 300 m from I on straight AI, and deflects through an angle of 25'before joining 2nd curve has deflected an angle of 20. Calculate the radius of the 2d curve and distance of tangent point T: from I on the straight IB. Hint A= 45°. Figure (1) illustrates the layout of the curve.

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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Question

The centerline of a new railway line is to be set out along a valley. The first
straight AI bears 75, while the connecting straight IB bears 120'; due to site
condition, it has been decided to join the straights compound curve.
The first curve of the radius is 500 m commenced at T1, situated 300 m from I on
straight AI, and deflects through an angle of 25'before joining 2nd curve has deflected
an angle of 20°. Calculate the radius of the 2nd curve and distance of tangent point T:
from I on the straight IB. Hint A= 45°. Figure (1) illustrates the layout of the curve.
4,
A/2
R
O, 4,
Figure (1) layout of the curve

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