Relative Strength of Figure by Broddett Abatayo

8/16/2019 Relative Strength of Figure by Broddett Abatayo

1/21

Theory of Errors andAdjustments

Lecture 4

Caraga State University

College of Engineering and Information

Technology

Broddett B. Abatayo, GE

Lecturer


2/21

HORIZOT!L COTROL SUR"E#

TR!"ERSE

TRIL!TER!TIO $SI%E&

TRI!'UL!TIO $!'LE&


3/21

TRI!'UL!TIO (I'URES

CH!I O( TRI!'LES

CH!I O(

)U!%RIL!TER!LS

CH!I O( *OL#'OS


4/21

TRI!'UL!TIO (I'URES

Chain of Triangles


5/21

TRI!'UL!TIO (I'URES

Chain of Quadrilaterals


6/21

TRI!'UL!TIO (I'URES

Chain of Polygons


7/21

STRE'TH O( (I'URE

FACTOR

A B

CD

F =

P = number ofstations

= number oflines

P =

! = "

F =#$"

%here&

STRE'TH O( (I'URE


8/21

STRE'TH O( (I'URE

FACTOR

F =


= number oflines

= '

F =#$()

%here&

P =

'

$ $

$A

BC

STRE'TH O( (I'URE


9/21

STRE'TH O( (I'URE

FACTOR

A B

CD

F =


= number oflines

$

= *

F =#$"!

%here&

P =

)

STRE'TH O( (I'URE


10/21

STRE'TH O( (I'URE

FACTOR

A B

C

D

F =


= number oflines

P =

" =

+#

F =#$"(

%here&

E

$$

$$

$

$F

STRE'TH O( (I'URE


11/21

STRE'TH O( (I'URE

FACTORA

B

C

D

F =


= number oflines

P =

* =

+!

F =#$",

%here&

-

$$

$ $

$$

$

$F

E

H

%I((ERET ROUTES +ITHI !


12/21


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


13/21

%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/


14/21

%IST!CE !'LE



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/


15/21

%IST!CE !'LE



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/


16/21

%IST!CE !'LE



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/


17/21

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


18/21

Using !,% and !%C -ith !% as the common side.

R :(

= 44.10

F

=

#$"#

R = 7"$(*


19/21

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.


20/21

Using !,C and !%C -ith !C as the common side.

R :(

= 22.51

F

=

#$"#

R = +'$(7



21/21

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 =

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Relative Strength of Figure by Broddett Abatayo