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It is necessary to apply the following corrections to the field measurements of base line order its true length:

**Corrections.
for Baseline**

It is necessary to
apply the following corrections to the field measurements of base line order
its true length:

1.Correction for
absolute length Adverti 2.Correction for temperature

3.Correction of tension
or pull

4.Correction for Sag

5.Correction for slope
of vertica

It may be noted that
each section of a base line is separately corrected.

1. Baseline Correction
for Absolute Length:

It is given by the
formula

Where CA = Correction
for absolute length L = measured length
of base l = Nominal length of measuring
unit

C = Correction to measuring unit

Sign of CA is the same
as that of C

Nominal length: The
designated length i.e 50 tape, 100 tape (30 m tape)

Absolute length: The
actual length under specified conditions

2. Correction for
Temperature:

It is given by the
formula

Ct = Inf (Tm-To) --
> (B)

Where

Ct = Correction for
temp

= co-efficient of thermal

Tm = Mean Temperature
during

To = Temp at which the
measuring is standardized

Steel = 0.0000099-0.000012/c

Steel = 0.0000055 0.0000070/ F

The sign of Ct is
plus or minus according to as Tm is greater or less then to

1. Correction
for Pull or Tension

C_{p}
= (Pm - Po)/AE . L -- > (c)

Where

CP
= Correction for pull

Pm
= Pull applied during measurement

Po
= Pull at which the measurement unit (tape) is standardized

L
= length measured

A
= Cross-Sectional area of measuring unit

E
= Modulus of elasticity of measuring unit

E
steel = 21 x 105 kg / cm2

E
steel = 30 x 106 /bs/in2

The
sing of this correction is always plus (T) as the effect of pull is to increase
the length of the tape and consequently to decrease the measured length of the
base.

4.
Correction for Sag:

Correction
for sag is the deference in length between the are and its chord i.e b/t the
curved length of the laps and the distance between the supports. Its us
required only when the tape is

suspended
during measurement. Since the effect of sag is to make the measured length too
large, it is always subtractive.

It
is given by the formula.

Cs=
L_{1}(WL_{1}^{2})/24Pm^{2} -- > (D)

Where
Cs = Correction for Sag

L1
= Distance b/t supports.

W
= wt of tape per unit length

Pm
= applied pull

W
= wt of tape b/t supports.

If
there are n equal space per tape length,

L
= nL1

Sag
correction per tape length is

C_{s}
= nL_{1}(WL_{1})^{2}/24Pm^{2} = L(WL_{1})^{2}/24Pm^{2}
= L(WL)^{2}/24nPm^{2}

Total sag correction to
measures length

Cs=N x Cs/ + Cs//

Where N = no of whole
tape length

Cs/ = Sag correction
per tape length.

Cs// = Sag correction
for any tape length

Normal tension:

The normal tension of a
tape is a tension which will cause the effects of pull and sag to neutralize
each other. It may be obtained by equating the corrections for pull and sag

Pn = 0.0204W Rt(AE) /
Rt(Pn-Po) -- > (E)

Where Pn = normal
tension

W = wt of tape b/w
supports

Pn is determine by
trial

5. Correction for Slope
or Vertical Alignment:

This correction is
required when the points of supports are not exactly at the same level

L1, L2------------

= Successive length of
uniform garages

B1, b2------------ = Difference of elevation b/t the
extremities of each of these grades.

Cg = corr for slope

Cg = B1C1 = AC1 AB1 =
l D

Cg =l-Rt(l^{2}-h^{2}) -- >
Exact

This correction is
always negative for measured length.

Tags : Civil Surveying - Fundamentals and Chain Surveying

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