Post on 05-Jul-2018
8/16/2019 Relative Strength of Figure by Broddett Abatayo
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Theory of Errors andAdjustments
Lecture 4
Caraga State University
College of Engineering and Information
Technology
Broddett B. Abatayo, GE
Lecturer
8/16/2019 Relative Strength of Figure by Broddett Abatayo
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HORIZOT!L COTROL SUR"E#
TR!"ERSE
TRIL!TER!TIO $SI%E&
TRI!'UL!TIO $!'LE&
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TRI!'UL!TIO (I'URES
CH!I O( TRI!'LES
CH!I O(
)U!%RIL!TER!LS
CH!I O( *OL#'OS
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TRI!'UL!TIO (I'URES
Chain of Triangles
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TRI!'UL!TIO (I'URES
Chain of Quadrilaterals
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TRI!'UL!TIO (I'URES
Chain of Polygons
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STRE'TH O( (I'URE
FACTOR
A B
CD
F =
P = number ofstations
= number oflines
P =
! = "
F =#$"
%here&
STRE'TH O( (I'URE
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STRE'TH O( (I'URE
FACTOR
F =
P = number ofstations
= number oflines
= '
F =#$()
%here&
P =
'
$ $
$A
BC
STRE'TH O( (I'URE
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STRE'TH O( (I'URE
FACTOR
A B
CD
F =
P = number ofstations
= number oflines
$
= *
F =#$"!
%here&
P =
)
STRE'TH O( (I'URE
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STRE'TH O( (I'URE
FACTOR
A B
C
D
F =
P = number ofstations
= number oflines
P =
" =
+#
F =#$"(
%here&
E
$$
$$
$
$F
STRE'TH O( (I'URE
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STRE'TH O( (I'URE
FACTORA
B
C
D
F =
P = number ofstations
= number oflines
P =
* =
+!
F =#$",
%here&
-
$$
$ $
$$
$
$F
E
H
%I((ERET ROUTES +ITHI !
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%I((ERET ROUTES +ITHI !
Q.ADR/ATERA
CD
B A
C o m m o n s i d e
Required side
Known side
CD
B A
C o m m o n s
i d e
Required side
Known side
CD
B A
C o
m m
o n s i d e
Required side
Known side
CD
B A
C o m m o
n s i d e
Required side
Known side
Using !,C and !%C -ith !C as thecommon side.
Using !,C and ,C% -ith ,C as thecommon side.
Using !,% and ,C% -ith ,% as thecommon side.
Using !,% and !%C -ith !% as thecommon side.
44/ 01/
21/
3/15/
44/
35/04/
44/ 01/
21/
3/15/
44/
35/
04/
44/01/
21/
3/15/
44/
35/
04/ 44/01/
21/
3/15/
44/
35/
04/
CD=1.231 ABCD=1.492 A
CD=1.439 AB
CD=1.6
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%IST!CE !'LE
Distan0e Angle 1 is the angle o22osite to the 3no4n and0ommon side of the 5rst triangle and angle o22osite to the
0ommon and re6uired side of the se0ond triangle$
Known side
Required side
A B
CD
44/
01
/
21/
3/15/
44/
35
/
Using !,C and !%C -ith !C the common side.
C o m m o n s i d e
(or triangle !,C6217 and 87
(or triangle !%C68827 and 357
04/
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%IST!CE !'LE
Distan0e Angle 1 is the angle o22osite to the 3no4n and0ommon side of the 5rst triangle and angle o22osite to the
0ommon and re6uired side of the se0ond triangle$
Known side
Required side
A B
CD
44/
01
/
21/
3/15/
44/
35
/
Using !,% and !%C -ith !%the common side.
C o m m
o n
s i d
e
(or triangle !,%6447 and 447
(or triangle !%C637 and 357
04/
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%IST!CE !'LE
Distan0e Angle 1 is the angle o22osite to the 3no4n and0ommon side of the 5rst triangle and angle o22osite to the
0ommon and re6uired side of the se0ond triangle$
Known side
Required side
A B
CD
44/
01
/
21/
3/15/
44/
35
/
Using !,% and ,C% -ith ,%the common side.
C o m m
o n s i d e
(or triangle !,%6447 and 927
(or triangle ,C%6017 and 017
04/
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%IST!CE !'LE
Distan0e Angle 1 is the angle o22osite to the 3no4n and0ommon side of the 5rst triangle and angle o22osite to the
0ommon and re6uired side of the se0ond triangle$
Known side
Required side
A B
CD
44/
01
/
21/
3/15/
44/
35
/
Using !,C and ,C% -ith ,C the common side.
C o m m o n s i d e
(or triangle !,C6217 and 047
(or triangle ,C%6157 and 017
04/
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A B
CD
Using !,% and !C% -ith !% as the common side.
ABC
distance angle of !, :
distance angle of !% :44/
3/
15/
44/
35/
distance angle of !% distance angle of %C
ADC
= 84
= 3
Known side
Required side
C o m m o n s
i d e
04/
= 84.21 ; 3.39 :44.10
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Using !,% and !%C -ith !% as the common side.
R :(
= 44.10
F
=
#$"#
R = 7"$(*
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A B
CD
Res.8
= 0.1
= 8>.8> ; 0.19 :
Known side
Required side
C o m m o n s i d e
04/
Using !,C and !%C -ith !C asthe common side.
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Using !,C and !%C -ith !C as the common side.
R :(
= 22.51
F
=
#$"#
R = +'$(7
%I((ERET ROUTES +ITHI !
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OU S
Q.ADR/ATERA
CD
B A
C o m m o n s i d e
Required side
Known side
CD
B A
C o m m o n s
i d e
Required side
Known side
CD
B A
C o m
m o n
s i d e
Required side
Known side
CD
B A
C o m m o n s i d e
Required side
Known side
Using !,C and !%C -ith !C as thecommon side.
Using !,C and ,C% -ith ,C as thecommon side.
Using !,% and ,C% -ith ,% as thecommon side.
Using !,% and !%C -ith !% as thecommon side.
44/01/
21/
3/15/
44/
35/
04/ 44/01/
21/
3/15/
44/
35/
04/
44/01/
21/
3/15/
44/
35/
04/ 44/01/
21/
3/15/
44/
35/
04/
CD=1.231 AB CD=1.4
CD=1.439 AB
CD=1.6
R =R = 7"$(*
R = "$', R =