Friday, January 3, 2014

Surveying notes for GATE, PSUs - Part 8

Hello there,
How have you been? Here is 8th part of one liners for the preparation of the GATE and PSUs.

  • A curve tangential to four straight lines and consisting of arcs of different radii is known as three centred compound curve.
  • The length of the tangent of a curve of radius R and angle of deflection D is given by R.tan(D/2).
  • The length of the long chord of a simple circular curve of radius R and angle of deflection D is 2R.sin(D/2).
  • Setting out a curve by two Theodolite method does not require linear measurements.
  • If r is the radius of curvature at any point of a transition curve and l is the distance from the beginning of the transition curve to that point, then for ideal transition l is inversely proportional to r.
  • In a reverse curve, the super-elevation provided at the point of reverse curvature is zero.
  • Total angle of deflection of a spiral curve is (spiral angle/4).
  • The shape of vertical curve generally provided is parabolic.
  • Perpendicular offset from the junction of transition curve and circular curve to the tangent is equal to four times the shift.
  • If  L is the length of transition curve and R is the radius of circular curve, then the shift of the curve is directly proportional to L^2 and inversely proportional to R.
  • The difference in elevation of points between a vertical and a tangent is directly proportional to the square of its horizontal distance from the point of tangency.
  • Shift bisects the transition curve and transition curve bisects the shift.
  • The maximum value of centrifugal ratio on roads and railways respectively are 1/4 and 1/8.
  • Agonic line is the line joining points having zero declination.
  • For a circumpolar star, declination must be more than co-latitude.
  • For a star at its upper transit, the local sidereal time is equal to R.A. of the star.
  • Sidereal year(SY) is greater than Tropical year(TY).
  • The limiting minimum value of declination of a circumpolar star having latitude 40 degrees North is (90-40) = 50 degrees.

All information is learned through books and practical exercises.

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Solved Example-Distance of a Point from a Line, whose end Co-ordinates are given.

Hi, Problem: The X and Y co-ordinates(in meters) of station Shore are 246.87 and 659.46 respectively, and those for station Rock are 437...

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