Answered: Determine the radius and length of…

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

Figure 1 illustrates a horizontal curve with a deflection angle of 60o30' and a tangent length of 5x. Determine the radius and length of curve. Express your answer in decimal form.

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Figure 1: Horizontal curve
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Expert Solution

Step 1

Objective: To determine the radius and length of the simple curve.

Given:

Deflection angle ( $∆$ ) = 60^o30'

Length of tangent (T) = 5x

The required elements of the curve can be computed by applying the following formulae:

$L e n g t h o f T a n g e n t (T) = R a d i u s (R) \tan (\frac{∆}{2}) [i]$

$L e n g t h o f c u r v e (L) = ∆ \times \frac{π}{180 °} \times R [i i]$

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