Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Corrections for Errors in Measuring Distances using a Steel Tape, Lecture notes of Science education

Corrections for various errors that can occur when measuring distances using a steel tape, including errors due to incorrect tape length, slope, temperature, tension, and sag. It includes formulas and examples for calculating corrections for each type of error.

What you will learn

  • How to correct for errors due to incorrect tape length?
  • What is the correction for a rectangular lot when the tape is too short?
  • How to calculate the correction for temperature change in a steel tape?
  • How to calculate the error in area due to incorrect tape length?
  • What is the correction for a building layout when the tape is too long?

Typology: Lecture notes

2021/2022

Uploaded on 08/05/2022

hal_s95
hal_s95 šŸ‡µšŸ‡­

4.4

(652)

10K documents

1 / 25

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
El t
El
emen
t
ary
Su
rv
ey
in
g
Su ey g
Tapecorrections
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19

Partial preview of the text

Download Corrections for Errors in Measuring Distances using a Steel Tape and more Lecture notes Science education in PDF only on Docsity!

El

t

El

ementary Su

rveying

Su

ey

g

Tape

corrections

Prepared

by:

Andre

‐Paul

C.^

Ampong

Correction due to incorrect tape lengthCorrection

due

to

incorrect

tape

length

Prepared

by:

Andre

‐Paul

C.^

Ampong

Correction due to incorrect tape lengthCorrection

due

to

incorrect

tape

length

Prepared

by:

Andre

‐Paul

C.^

Ampong

Correction due to incorrect tape lengthCorrection

due

to

incorrect

tape

length

NL

TL

Corr

I

ML

C

Corr

I

C

ML

CL

NL

C

Corr

I

C

ML

CL

Prepared

by:

Andre

‐Paul

C.^

Ampong

Correction due to incorrect tape lengthCorrection

due

to

incorrect

tape

length

•^

A rectangular lot was measured using a 50

‐m

A

rectangular

lot

was

measured

using

a

m

steel

tape

which

was

found

out

to

be

m

too short If the recorded length and width oftoo

short

.^

If

the

recorded

length

and

width

of

the

lot

are

m

and

m,

respectively determine the following:respectively

,^

determine

the

following:

Actual

dimensions

of

the

lot

Error in area introduced due to the erroneous

Error

in

area

introduced

due

to

the

erroneous

length

of

tape

Prepared

by:

Andre

‐Paul

C.^

Ampong

Correction due to slopeCorrection

due

to

slope

Prepared

by:

Andre

‐Paul

C.^

Ampong

Correction due to slopeCorrection

due

to

slope

•^

For gentle slopes (less than 20%)For

gentle

slopes

(less

than

h

C

h^

2

2

=

•^

For

steep

slopes

(between

and

s

h^

2

4 3

2

8

2

h s

s h

C

h^

=

•^

For

very

steep

slopes

(greater

than

8

2

s

s

Prepared

by:

Andre

‐Paul

C.^

Ampong

(^

Īø

cos 1

āˆ’

=

s

C

h

Correction due to temperatureCorrection

due

to

temperature

T

T

L

C

α

s

t^

T

T

L

C

α Prepared

by:

Andre

‐Paul

C.^

Ampong

ProblemProblem

•^

A steel tape known to be of standard length atA

steel

tape

known

to

be

of

standard

length

at

o^ C,

is

used

in

laying

out

a

runway

m long

If its coefficient of linear expansion is

m

long

.^

If

its

coefficient

of

linear

expansion

is

o^ C,

determine

the

temperature

correction and the correct length to be laidcorrection

and

the

correct

length

to

be

laid

out

when

the

temperature

is

o^ C.

Prepared

by:

Andre

‐Paul

C.^

Ampong

ProblemProblem

•^

A heavy 50

‐m tape having a cross

‐sectional

A

heavy

m

tape

having

a

cross

sectional

area

of

cm

2

has

been

standardized

at

a

tension of 5 5 kg

If E = 2 10 x 10

6

kg/cm

2

tension

of

kg

.^

If

E

x

kg/cm

determine

the

elongation

of

the

tape

if

a

pull

of 12 kg is appliedof

kg

is

applied

Prepared

by:

Andre

‐Paul

C.^

Ampong

Correction due to sagCorrection

due

to

sag

3

2

L

C

ω

=

2

24

P

C

s^

=

Prepared

by:

Andre

‐Paul

C.^

Ampong

Correction due to windCorrection

due

to

wind

•^

Error due to wind is similar in effect to errorError

due

to

wind

is

similar

in

effect

to

error

due

to

sag

•^

May be avoided by not conducting survey on a

-^

May

be

avoided

by

not

conducting

survey

on

a

windy

day

Prepared

by:

Andre

‐Paul

C.^

Ampong

Combined corrections (problem)Combined

corrections

(problem)

-^

A

line

was

measured

to

be

m

using

a

30

‐m

g

steel

tape

supported

throughout

its

length

under

a

pull

of

4

kg.

The

mean

temperature

during

the

measurement is 35

oC

The tape used has a cross

measurement

is

35

C

.^

The

tape

used

has

a

cross

‐

sectional

area

of

square

centimeters

and

has

a

standard

length

at

20

oC

under

a

pull

of

5

kg.

The

d l

f^

l^

f h

6

k /

2

d

modulus

of

elasticity

of

the

tape

is

2

x

10

6

kg/cm

2

and

the

coefficient

of

thermal

expansion

is

0.0000116/

oC.

Determine the error due to temperature changeDetermine

the

error

due

to

temperature

change

Determine

the

error

due

to

tension

Determine

the

corrected

length

of

the

line

Prepared

by:

Andre

‐Paul

C.^

Ampong