3. Derive the formula for the following; show all sketches and relevant assumptions:(i)(ii)Length of tangentChord length(iii)External distance(iv)Middle ordinateT- RunE- Rwe -RR-radius of circular curveT- tangent lengthA - internection angleM- middle ordinatePC - point of curvePT - point of tangentP= point of intenectionE - extemal distanceE - R-cosM -R- Ron- a(1 - a) 1. (Simple Curve) Refer to problem Example 15.6 (textbook Garber and Hoel) and re-do with thefollowing changes to the given information:(a) Intersectional angle for 1 station = 3degrees(b) Sta of PC is 800+25.5860 deg.(c) Inscribed angle for entire curve is800+25.5860 degrees50%25% L75%PCPTCalculate length of curve. Determine thestations at 25% Lc, 50% Lc, 75% Le (L, is lengthof the curve) then calculate the chords anddeflection angles at these points; show all yoursolution then summarize the results into atabulation. Calculate also the following: MiddleOrdinate and External Distance. Determine stationing of PT.2. (Compound Curve) Refer to problemExample 15.7 (textbook Garber and Hoel) and re-do with the following changes to the giveninformation:PC(a) The two simple curves are joined atSta. 238 + 80(b) First curve: R1 = 550' & A¡=40deg(c) Second curve: R2 = 450' & A2=25degR.R radii of simple curves forming compound curveA.4, - intersection angles of simple curvesA- intersection angle of compound curve1.t - tangent lengths of simple curvesT,T; = tangent lengths of compound curvePCC = point of compound curvePI = point of intersectionPC - point of curvePT - point of tangentCalculate the individual length of curves.Determine stationing of PC and PT. At eachcurve's mid-length, compute the deflection angleand chord length.

Answered: Image /qna-images/answer/057b9862-be11-4c44-b884-10868fbe7cb1.jpg

3. Derive the formula for the following; show all sketches and relevant assumptions: Length of tangent Chord length (i) (ii) (iii) (iv) External distance Middle ordinate T- Run E- Rwe -R PC- point of curve R-radius of circular curve T-tungent length A internection angle M- middle ordinate PT- point of tangent H- point of intenection E- etemal distance cos M-R-Ron -(1 - )

3. Derive the formula for the following; show all sketches and relevant assumptions: Length of tangent Chord length (i) (ii) (iii) (iv) External distance Middle ordinate T- Run E- Rwe -R PC- point of curve R-radius of circular curve T-tungent length A internection angle M- middle ordinate PT- point of tangent H- point of intenection E- etemal distance cos M-R-Ron -(1 - )

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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