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Konstruksi Beton IV 01.pdf

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Page 1: Konstruksi Beton IV 01.pdf

I

f bull

gt (=-01~N-NAI1t~ TRuUltTUR HY fiSl-6ClL-ic-YArv3(x_)[) J

Tr11l4 rltL- L (GrC~ It gtTQucru~5- O P 13I L If C Tull

C - t~Tf jiTei-( TCWCf~ -13II~I~~ - ~LOS pound OTH5(lt E L~vl=r-SD SirruCTIA R3$

- (illtA Y ( tv Rr- r~l i 7Y

==-=~====-- -==================

ShlJ( n1( eto Vl( kcmcr h)(th HnK ii1r f1tl- ylnr l(lHl~

kr kllh~k () Ill ~UC ~lA i~ I V (gt _ I~ ~ (1

fIVlt1 AIv rtlr ~ vldF hnobtl 0 ~ til t -----shy

MWMfyenMfampf r

Nx

I

N 1)( Ny Y Nvx

Q bull Q y til X tv1

1 ( 1 J) )( --gt

~I ~U~a tI)t1 illy - 1)1(1

V ~x -= ( O)(_~(l-~) di

~-

-CV2 h(z

Cy2 ~ f Q y 2 (1 - -k) tA2 N ) =- f Gl (i - 3 ) ) z

e IX -hl2 - h(l

)

I

1 1 -IIltAIivI 117 I Jd1(j idl -jrrti-IT(jK Ol-iH 51TI4 KvlfZA -l-N-r~ti~ lYi1

Y- liG [)I FJi-J~ TtH~-lD~ Vllv1()-I TERTCIiTL1

__1-___

A

I

-- - - - - 7~- - - ---~----

~

shy

UlImiddotHgtR CA oS HJi11

I shylti-r

~

I

j)

- dA- - a

iv~ ro C- ) q - rr rz = ~ -

r - rz ~ cp

COHICAL

cent k ovvrctN

1o=rz~ltP

r =~ r ~~

~ -_-t--_ ~v( shy-- - rmiddot- - ~

c-f1 = I

V(l1VI ~Tttvll-ltTA~ C~NGIlt4N(J WtNlt- TE(G2NTi-iK -teTA=gt L-EH6-[lt-Ur-(if-j ~~L~VL)

Y-1NS pitAi-11- TEHA-IgtAf SUI-1rlIj TEATEN rvt

I

= 0 (13) __bull_____ __ c __ bull ~~ ~__ _~__

(1 )

bull uM~i~ f~middotwv - lt)Vvl-k~ ri- ampfiTT~ II ( b-E 147 raquo rvvcJJ~ V7Av~zJt-JIshy

JZ)gt-v~J lit)) tq tvl(IL ~ Meqgt ~vvC cM~middotyenVV

Me = 0 j tv1~ = 0

oNamp zgtZN4Iamp ro )----------omiddotrc----------- -- --shyu(11) ) r ~G- + ~q bullbull~ N~_bcent-___~_r __~~___ hO

0 (NO ro)middot dNa( - - or -shy(1 1) - gt ~~) + G ~ - N ~_ Qcent ~ y ro Ii = a

)

(1 b)

(1 7 )

( I C)

B~ 3VW~0 - X == 0

y~~ ~~l1VVl Necp=- 0 ~ Nq-e-= 0

(--7) --gt (1 ~)

(1middoti) j N0 T ~~+ Z = 0-middot------middot- (11C)

e S~K~ ~~~ (11) ~M~ ~vWf J~hr~middot O~ td-J6 _ _ AAtA I ~fc-VC JA-y~yNV~~ ~I k~fw~ ~ere--o-e

ttltf~~p _~CU~ - 0~R lf~Cvk~ 0(j

-0

(j)

~ SyvfV(~ DcrmfY)

(i Ccn-v01middot~1o PYY1~

4 CcYvIwR DC-Vlr~

b ~EIAGA1 Olripi Ncr -RESEfVOR bull LlQU D - l-I ltJuio 11N ~ bull G-AS -y GAS TIN~

bull D~y CJRANlAl-AR HATt=~A l S

-gt I3gtANKE~ -- ~IIO

==0 (18 )

(1- 9 )

N~ Ne Z ( 110 )--1--+ 0r 11

----_shy -

gt

GfJ) JI vOIic S TRUL Ugt-E

(SThnnAtlt-E U1iGIAilt= (eAGA~ Tilt)

0~Vv 11-1-1 kl~ ~~ l~ W~1Yv(AV 11iJC NWI~ pV4lt~- I-VZNVfv1~gt )tNYt~1I vv ~k-K

0 B~M tlYtAlaquo~1middot VOk~)CAlt~ trYMiiMA n(ilA(lt~w ev~cvlt u I U ~

tvv--)~V ~ BVt-ct IX-l~~ Gr-C~ -gt Dtclt( ~ = J-IX

B~ ~d-~ --) ~ve kcvA == fj LL

gt Bc~ V1tbuuA p~f~~ J~cfk Jvo1-~rowfo c B~ lnUv~ ~~ZfA~~ 1ILtTfltN HOL-E I

d Tamp~I~p~g~ pldcgt JeMV ~mW~~M1 ~f

~-~ 1vJ~ ~ ~

dOL ~ ~ ~ 4eACTY _B~V~~x ~

dLL=B~ H~

~a ~~~r - ~ - -- ~Y~l r = 12 wc = cp

--- a~

I -7 ~dJI- -- -~r- ~ - - - bullbull

- ~ y d ~4gti

~ ~----- - --- - ---~-- --------~--~~- -- _-------- shy

6 Vamp11JvV IV~~IV f~~v- l(vWr ( 1 11 )

iOlt itmiddot (U((O)( d4raquoj cent lt1 -- ___--

) 1( (j 2-t f ~1 () dq

o

2 R V-o Ncp hYl P + R 0 bull 2shy

2R Gt Np ~ (J + 2RCi 2 ~ (1- Cud cent ) -= 0 t ~ - ~ ( 1-I-C6lp

i q ( 1 -- Camp () ) =- C1g1 (1- C CJ )

)[ ~cr==~~qJ)- _M~_ ~_lt ____bull ____ _bull _ __~__

(10) --)

Npoundr -~~ - - -1 ~3 ~ -middot~t

1 - - J

Nt _ o~ ( - etdq) I (22)1+Ud-J - I

- - ilz ---j-=------------~-------- shy

Me

----shy ~

LOJ 1 I T~L J rrrTT q-- ---Q-_ __ _ 11 n fgt1zvIl r~t ~~ ~41 ~~ dv~ (oVDYir~

z = (tjtf--ltrr cp) Uf(f cP -= fJn CArd- 2 rp

Y = (~heltn- ~ ) ltYvn cp Jh((raquo- cent ~~ q

NEt = - Ci Z - Ncp - laquo bullbull aj

ti if - - 01-1cor (jJ 1- 2 h ~~ =- ~~2 (1 ~ 2 cltraquo 2q)

~------- a CJ1 (2 Lj)0~ 2 Q73- 2Y

)

N (Jgt 118--+----2 -0

IJ 2

~----~

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 2: Konstruksi Beton IV 01.pdf

MWMfyenMfampf r

Nx

I

N 1)( Ny Y Nvx

Q bull Q y til X tv1

1 ( 1 J) )( --gt

~I ~U~a tI)t1 illy - 1)1(1

V ~x -= ( O)(_~(l-~) di

~-

-CV2 h(z

Cy2 ~ f Q y 2 (1 - -k) tA2 N ) =- f Gl (i - 3 ) ) z

e IX -hl2 - h(l

)

I

1 1 -IIltAIivI 117 I Jd1(j idl -jrrti-IT(jK Ol-iH 51TI4 KvlfZA -l-N-r~ti~ lYi1

Y- liG [)I FJi-J~ TtH~-lD~ Vllv1()-I TERTCIiTL1

__1-___

A

I

-- - - - - 7~- - - ---~----

~

shy

UlImiddotHgtR CA oS HJi11

I shylti-r

~

I

j)

- dA- - a

iv~ ro C- ) q - rr rz = ~ -

r - rz ~ cp

COHICAL

cent k ovvrctN

1o=rz~ltP

r =~ r ~~

~ -_-t--_ ~v( shy-- - rmiddot- - ~

c-f1 = I

V(l1VI ~Tttvll-ltTA~ C~NGIlt4N(J WtNlt- TE(G2NTi-iK -teTA=gt L-EH6-[lt-Ur-(if-j ~~L~VL)

Y-1NS pitAi-11- TEHA-IgtAf SUI-1rlIj TEATEN rvt

I

= 0 (13) __bull_____ __ c __ bull ~~ ~__ _~__

(1 )

bull uM~i~ f~middotwv - lt)Vvl-k~ ri- ampfiTT~ II ( b-E 147 raquo rvvcJJ~ V7Av~zJt-JIshy

JZ)gt-v~J lit)) tq tvl(IL ~ Meqgt ~vvC cM~middotyenVV

Me = 0 j tv1~ = 0

oNamp zgtZN4Iamp ro )----------omiddotrc----------- -- --shyu(11) ) r ~G- + ~q bullbull~ N~_bcent-___~_r __~~___ hO

0 (NO ro)middot dNa( - - or -shy(1 1) - gt ~~) + G ~ - N ~_ Qcent ~ y ro Ii = a

)

(1 b)

(1 7 )

( I C)

B~ 3VW~0 - X == 0

y~~ ~~l1VVl Necp=- 0 ~ Nq-e-= 0

(--7) --gt (1 ~)

(1middoti) j N0 T ~~+ Z = 0-middot------middot- (11C)

e S~K~ ~~~ (11) ~M~ ~vWf J~hr~middot O~ td-J6 _ _ AAtA I ~fc-VC JA-y~yNV~~ ~I k~fw~ ~ere--o-e

ttltf~~p _~CU~ - 0~R lf~Cvk~ 0(j

-0

(j)

~ SyvfV(~ DcrmfY)

(i Ccn-v01middot~1o PYY1~

4 CcYvIwR DC-Vlr~

b ~EIAGA1 Olripi Ncr -RESEfVOR bull LlQU D - l-I ltJuio 11N ~ bull G-AS -y GAS TIN~

bull D~y CJRANlAl-AR HATt=~A l S

-gt I3gtANKE~ -- ~IIO

==0 (18 )

(1- 9 )

N~ Ne Z ( 110 )--1--+ 0r 11

----_shy -

gt

GfJ) JI vOIic S TRUL Ugt-E

(SThnnAtlt-E U1iGIAilt= (eAGA~ Tilt)

0~Vv 11-1-1 kl~ ~~ l~ W~1Yv(AV 11iJC NWI~ pV4lt~- I-VZNVfv1~gt )tNYt~1I vv ~k-K

0 B~M tlYtAlaquo~1middot VOk~)CAlt~ trYMiiMA n(ilA(lt~w ev~cvlt u I U ~

tvv--)~V ~ BVt-ct IX-l~~ Gr-C~ -gt Dtclt( ~ = J-IX

B~ ~d-~ --) ~ve kcvA == fj LL

gt Bc~ V1tbuuA p~f~~ J~cfk Jvo1-~rowfo c B~ lnUv~ ~~ZfA~~ 1ILtTfltN HOL-E I

d Tamp~I~p~g~ pldcgt JeMV ~mW~~M1 ~f

~-~ 1vJ~ ~ ~

dOL ~ ~ ~ 4eACTY _B~V~~x ~

dLL=B~ H~

~a ~~~r - ~ - -- ~Y~l r = 12 wc = cp

--- a~

I -7 ~dJI- -- -~r- ~ - - - bullbull

- ~ y d ~4gti

~ ~----- - --- - ---~-- --------~--~~- -- _-------- shy

6 Vamp11JvV IV~~IV f~~v- l(vWr ( 1 11 )

iOlt itmiddot (U((O)( d4raquoj cent lt1 -- ___--

) 1( (j 2-t f ~1 () dq

o

2 R V-o Ncp hYl P + R 0 bull 2shy

2R Gt Np ~ (J + 2RCi 2 ~ (1- Cud cent ) -= 0 t ~ - ~ ( 1-I-C6lp

i q ( 1 -- Camp () ) =- C1g1 (1- C CJ )

)[ ~cr==~~qJ)- _M~_ ~_lt ____bull ____ _bull _ __~__

(10) --)

Npoundr -~~ - - -1 ~3 ~ -middot~t

1 - - J

Nt _ o~ ( - etdq) I (22)1+Ud-J - I

- - ilz ---j-=------------~-------- shy

Me

----shy ~

LOJ 1 I T~L J rrrTT q-- ---Q-_ __ _ 11 n fgt1zvIl r~t ~~ ~41 ~~ dv~ (oVDYir~

z = (tjtf--ltrr cp) Uf(f cP -= fJn CArd- 2 rp

Y = (~heltn- ~ ) ltYvn cp Jh((raquo- cent ~~ q

NEt = - Ci Z - Ncp - laquo bullbull aj

ti if - - 01-1cor (jJ 1- 2 h ~~ =- ~~2 (1 ~ 2 cltraquo 2q)

~------- a CJ1 (2 Lj)0~ 2 Q73- 2Y

)

N (Jgt 118--+----2 -0

IJ 2

~----~

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 3: Konstruksi Beton IV 01.pdf

I

1 1 -IIltAIivI 117 I Jd1(j idl -jrrti-IT(jK Ol-iH 51TI4 KvlfZA -l-N-r~ti~ lYi1

Y- liG [)I FJi-J~ TtH~-lD~ Vllv1()-I TERTCIiTL1

__1-___

A

I

-- - - - - 7~- - - ---~----

~

shy

UlImiddotHgtR CA oS HJi11

I shylti-r

~

I

j)

- dA- - a

iv~ ro C- ) q - rr rz = ~ -

r - rz ~ cp

COHICAL

cent k ovvrctN

1o=rz~ltP

r =~ r ~~

~ -_-t--_ ~v( shy-- - rmiddot- - ~

c-f1 = I

V(l1VI ~Tttvll-ltTA~ C~NGIlt4N(J WtNlt- TE(G2NTi-iK -teTA=gt L-EH6-[lt-Ur-(if-j ~~L~VL)

Y-1NS pitAi-11- TEHA-IgtAf SUI-1rlIj TEATEN rvt

I

= 0 (13) __bull_____ __ c __ bull ~~ ~__ _~__

(1 )

bull uM~i~ f~middotwv - lt)Vvl-k~ ri- ampfiTT~ II ( b-E 147 raquo rvvcJJ~ V7Av~zJt-JIshy

JZ)gt-v~J lit)) tq tvl(IL ~ Meqgt ~vvC cM~middotyenVV

Me = 0 j tv1~ = 0

oNamp zgtZN4Iamp ro )----------omiddotrc----------- -- --shyu(11) ) r ~G- + ~q bullbull~ N~_bcent-___~_r __~~___ hO

0 (NO ro)middot dNa( - - or -shy(1 1) - gt ~~) + G ~ - N ~_ Qcent ~ y ro Ii = a

)

(1 b)

(1 7 )

( I C)

B~ 3VW~0 - X == 0

y~~ ~~l1VVl Necp=- 0 ~ Nq-e-= 0

(--7) --gt (1 ~)

(1middoti) j N0 T ~~+ Z = 0-middot------middot- (11C)

e S~K~ ~~~ (11) ~M~ ~vWf J~hr~middot O~ td-J6 _ _ AAtA I ~fc-VC JA-y~yNV~~ ~I k~fw~ ~ere--o-e

ttltf~~p _~CU~ - 0~R lf~Cvk~ 0(j

-0

(j)

~ SyvfV(~ DcrmfY)

(i Ccn-v01middot~1o PYY1~

4 CcYvIwR DC-Vlr~

b ~EIAGA1 Olripi Ncr -RESEfVOR bull LlQU D - l-I ltJuio 11N ~ bull G-AS -y GAS TIN~

bull D~y CJRANlAl-AR HATt=~A l S

-gt I3gtANKE~ -- ~IIO

==0 (18 )

(1- 9 )

N~ Ne Z ( 110 )--1--+ 0r 11

----_shy -

gt

GfJ) JI vOIic S TRUL Ugt-E

(SThnnAtlt-E U1iGIAilt= (eAGA~ Tilt)

0~Vv 11-1-1 kl~ ~~ l~ W~1Yv(AV 11iJC NWI~ pV4lt~- I-VZNVfv1~gt )tNYt~1I vv ~k-K

0 B~M tlYtAlaquo~1middot VOk~)CAlt~ trYMiiMA n(ilA(lt~w ev~cvlt u I U ~

tvv--)~V ~ BVt-ct IX-l~~ Gr-C~ -gt Dtclt( ~ = J-IX

B~ ~d-~ --) ~ve kcvA == fj LL

gt Bc~ V1tbuuA p~f~~ J~cfk Jvo1-~rowfo c B~ lnUv~ ~~ZfA~~ 1ILtTfltN HOL-E I

d Tamp~I~p~g~ pldcgt JeMV ~mW~~M1 ~f

~-~ 1vJ~ ~ ~

dOL ~ ~ ~ 4eACTY _B~V~~x ~

dLL=B~ H~

~a ~~~r - ~ - -- ~Y~l r = 12 wc = cp

--- a~

I -7 ~dJI- -- -~r- ~ - - - bullbull

- ~ y d ~4gti

~ ~----- - --- - ---~-- --------~--~~- -- _-------- shy

6 Vamp11JvV IV~~IV f~~v- l(vWr ( 1 11 )

iOlt itmiddot (U((O)( d4raquoj cent lt1 -- ___--

) 1( (j 2-t f ~1 () dq

o

2 R V-o Ncp hYl P + R 0 bull 2shy

2R Gt Np ~ (J + 2RCi 2 ~ (1- Cud cent ) -= 0 t ~ - ~ ( 1-I-C6lp

i q ( 1 -- Camp () ) =- C1g1 (1- C CJ )

)[ ~cr==~~qJ)- _M~_ ~_lt ____bull ____ _bull _ __~__

(10) --)

Npoundr -~~ - - -1 ~3 ~ -middot~t

1 - - J

Nt _ o~ ( - etdq) I (22)1+Ud-J - I

- - ilz ---j-=------------~-------- shy

Me

----shy ~

LOJ 1 I T~L J rrrTT q-- ---Q-_ __ _ 11 n fgt1zvIl r~t ~~ ~41 ~~ dv~ (oVDYir~

z = (tjtf--ltrr cp) Uf(f cP -= fJn CArd- 2 rp

Y = (~heltn- ~ ) ltYvn cp Jh((raquo- cent ~~ q

NEt = - Ci Z - Ncp - laquo bullbull aj

ti if - - 01-1cor (jJ 1- 2 h ~~ =- ~~2 (1 ~ 2 cltraquo 2q)

~------- a CJ1 (2 Lj)0~ 2 Q73- 2Y

)

N (Jgt 118--+----2 -0

IJ 2

~----~

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 4: Konstruksi Beton IV 01.pdf

I

j)

- dA- - a

iv~ ro C- ) q - rr rz = ~ -

r - rz ~ cp

COHICAL

cent k ovvrctN

1o=rz~ltP

r =~ r ~~

~ -_-t--_ ~v( shy-- - rmiddot- - ~

c-f1 = I

V(l1VI ~Tttvll-ltTA~ C~NGIlt4N(J WtNlt- TE(G2NTi-iK -teTA=gt L-EH6-[lt-Ur-(if-j ~~L~VL)

Y-1NS pitAi-11- TEHA-IgtAf SUI-1rlIj TEATEN rvt

I

= 0 (13) __bull_____ __ c __ bull ~~ ~__ _~__

(1 )

bull uM~i~ f~middotwv - lt)Vvl-k~ ri- ampfiTT~ II ( b-E 147 raquo rvvcJJ~ V7Av~zJt-JIshy

JZ)gt-v~J lit)) tq tvl(IL ~ Meqgt ~vvC cM~middotyenVV

Me = 0 j tv1~ = 0

oNamp zgtZN4Iamp ro )----------omiddotrc----------- -- --shyu(11) ) r ~G- + ~q bullbull~ N~_bcent-___~_r __~~___ hO

0 (NO ro)middot dNa( - - or -shy(1 1) - gt ~~) + G ~ - N ~_ Qcent ~ y ro Ii = a

)

(1 b)

(1 7 )

( I C)

B~ 3VW~0 - X == 0

y~~ ~~l1VVl Necp=- 0 ~ Nq-e-= 0

(--7) --gt (1 ~)

(1middoti) j N0 T ~~+ Z = 0-middot------middot- (11C)

e S~K~ ~~~ (11) ~M~ ~vWf J~hr~middot O~ td-J6 _ _ AAtA I ~fc-VC JA-y~yNV~~ ~I k~fw~ ~ere--o-e

ttltf~~p _~CU~ - 0~R lf~Cvk~ 0(j

-0

(j)

~ SyvfV(~ DcrmfY)

(i Ccn-v01middot~1o PYY1~

4 CcYvIwR DC-Vlr~

b ~EIAGA1 Olripi Ncr -RESEfVOR bull LlQU D - l-I ltJuio 11N ~ bull G-AS -y GAS TIN~

bull D~y CJRANlAl-AR HATt=~A l S

-gt I3gtANKE~ -- ~IIO

==0 (18 )

(1- 9 )

N~ Ne Z ( 110 )--1--+ 0r 11

----_shy -

gt

GfJ) JI vOIic S TRUL Ugt-E

(SThnnAtlt-E U1iGIAilt= (eAGA~ Tilt)

0~Vv 11-1-1 kl~ ~~ l~ W~1Yv(AV 11iJC NWI~ pV4lt~- I-VZNVfv1~gt )tNYt~1I vv ~k-K

0 B~M tlYtAlaquo~1middot VOk~)CAlt~ trYMiiMA n(ilA(lt~w ev~cvlt u I U ~

tvv--)~V ~ BVt-ct IX-l~~ Gr-C~ -gt Dtclt( ~ = J-IX

B~ ~d-~ --) ~ve kcvA == fj LL

gt Bc~ V1tbuuA p~f~~ J~cfk Jvo1-~rowfo c B~ lnUv~ ~~ZfA~~ 1ILtTfltN HOL-E I

d Tamp~I~p~g~ pldcgt JeMV ~mW~~M1 ~f

~-~ 1vJ~ ~ ~

dOL ~ ~ ~ 4eACTY _B~V~~x ~

dLL=B~ H~

~a ~~~r - ~ - -- ~Y~l r = 12 wc = cp

--- a~

I -7 ~dJI- -- -~r- ~ - - - bullbull

- ~ y d ~4gti

~ ~----- - --- - ---~-- --------~--~~- -- _-------- shy

6 Vamp11JvV IV~~IV f~~v- l(vWr ( 1 11 )

iOlt itmiddot (U((O)( d4raquoj cent lt1 -- ___--

) 1( (j 2-t f ~1 () dq

o

2 R V-o Ncp hYl P + R 0 bull 2shy

2R Gt Np ~ (J + 2RCi 2 ~ (1- Cud cent ) -= 0 t ~ - ~ ( 1-I-C6lp

i q ( 1 -- Camp () ) =- C1g1 (1- C CJ )

)[ ~cr==~~qJ)- _M~_ ~_lt ____bull ____ _bull _ __~__

(10) --)

Npoundr -~~ - - -1 ~3 ~ -middot~t

1 - - J

Nt _ o~ ( - etdq) I (22)1+Ud-J - I

- - ilz ---j-=------------~-------- shy

Me

----shy ~

LOJ 1 I T~L J rrrTT q-- ---Q-_ __ _ 11 n fgt1zvIl r~t ~~ ~41 ~~ dv~ (oVDYir~

z = (tjtf--ltrr cp) Uf(f cP -= fJn CArd- 2 rp

Y = (~heltn- ~ ) ltYvn cp Jh((raquo- cent ~~ q

NEt = - Ci Z - Ncp - laquo bullbull aj

ti if - - 01-1cor (jJ 1- 2 h ~~ =- ~~2 (1 ~ 2 cltraquo 2q)

~------- a CJ1 (2 Lj)0~ 2 Q73- 2Y

)

N (Jgt 118--+----2 -0

IJ 2

~----~

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 5: Konstruksi Beton IV 01.pdf

(1 )

bull uM~i~ f~middotwv - lt)Vvl-k~ ri- ampfiTT~ II ( b-E 147 raquo rvvcJJ~ V7Av~zJt-JIshy

JZ)gt-v~J lit)) tq tvl(IL ~ Meqgt ~vvC cM~middotyenVV

Me = 0 j tv1~ = 0

oNamp zgtZN4Iamp ro )----------omiddotrc----------- -- --shyu(11) ) r ~G- + ~q bullbull~ N~_bcent-___~_r __~~___ hO

0 (NO ro)middot dNa( - - or -shy(1 1) - gt ~~) + G ~ - N ~_ Qcent ~ y ro Ii = a

)

(1 b)

(1 7 )

( I C)

B~ 3VW~0 - X == 0

y~~ ~~l1VVl Necp=- 0 ~ Nq-e-= 0

(--7) --gt (1 ~)

(1middoti) j N0 T ~~+ Z = 0-middot------middot- (11C)

e S~K~ ~~~ (11) ~M~ ~vWf J~hr~middot O~ td-J6 _ _ AAtA I ~fc-VC JA-y~yNV~~ ~I k~fw~ ~ere--o-e

ttltf~~p _~CU~ - 0~R lf~Cvk~ 0(j

-0

(j)

~ SyvfV(~ DcrmfY)

(i Ccn-v01middot~1o PYY1~

4 CcYvIwR DC-Vlr~

b ~EIAGA1 Olripi Ncr -RESEfVOR bull LlQU D - l-I ltJuio 11N ~ bull G-AS -y GAS TIN~

bull D~y CJRANlAl-AR HATt=~A l S

-gt I3gtANKE~ -- ~IIO

==0 (18 )

(1- 9 )

N~ Ne Z ( 110 )--1--+ 0r 11

----_shy -

gt

GfJ) JI vOIic S TRUL Ugt-E

(SThnnAtlt-E U1iGIAilt= (eAGA~ Tilt)

0~Vv 11-1-1 kl~ ~~ l~ W~1Yv(AV 11iJC NWI~ pV4lt~- I-VZNVfv1~gt )tNYt~1I vv ~k-K

0 B~M tlYtAlaquo~1middot VOk~)CAlt~ trYMiiMA n(ilA(lt~w ev~cvlt u I U ~

tvv--)~V ~ BVt-ct IX-l~~ Gr-C~ -gt Dtclt( ~ = J-IX

B~ ~d-~ --) ~ve kcvA == fj LL

gt Bc~ V1tbuuA p~f~~ J~cfk Jvo1-~rowfo c B~ lnUv~ ~~ZfA~~ 1ILtTfltN HOL-E I

d Tamp~I~p~g~ pldcgt JeMV ~mW~~M1 ~f

~-~ 1vJ~ ~ ~

dOL ~ ~ ~ 4eACTY _B~V~~x ~

dLL=B~ H~

~a ~~~r - ~ - -- ~Y~l r = 12 wc = cp

--- a~

I -7 ~dJI- -- -~r- ~ - - - bullbull

- ~ y d ~4gti

~ ~----- - --- - ---~-- --------~--~~- -- _-------- shy

6 Vamp11JvV IV~~IV f~~v- l(vWr ( 1 11 )

iOlt itmiddot (U((O)( d4raquoj cent lt1 -- ___--

) 1( (j 2-t f ~1 () dq

o

2 R V-o Ncp hYl P + R 0 bull 2shy

2R Gt Np ~ (J + 2RCi 2 ~ (1- Cud cent ) -= 0 t ~ - ~ ( 1-I-C6lp

i q ( 1 -- Camp () ) =- C1g1 (1- C CJ )

)[ ~cr==~~qJ)- _M~_ ~_lt ____bull ____ _bull _ __~__

(10) --)

Npoundr -~~ - - -1 ~3 ~ -middot~t

1 - - J

Nt _ o~ ( - etdq) I (22)1+Ud-J - I

- - ilz ---j-=------------~-------- shy

Me

----shy ~

LOJ 1 I T~L J rrrTT q-- ---Q-_ __ _ 11 n fgt1zvIl r~t ~~ ~41 ~~ dv~ (oVDYir~

z = (tjtf--ltrr cp) Uf(f cP -= fJn CArd- 2 rp

Y = (~heltn- ~ ) ltYvn cp Jh((raquo- cent ~~ q

NEt = - Ci Z - Ncp - laquo bullbull aj

ti if - - 01-1cor (jJ 1- 2 h ~~ =- ~~2 (1 ~ 2 cltraquo 2q)

~------- a CJ1 (2 Lj)0~ 2 Q73- 2Y

)

N (Jgt 118--+----2 -0

IJ 2

~----~

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 6: Konstruksi Beton IV 01.pdf

(1 b)

(1 7 )

( I C)

B~ 3VW~0 - X == 0

y~~ ~~l1VVl Necp=- 0 ~ Nq-e-= 0

(--7) --gt (1 ~)

(1middoti) j N0 T ~~+ Z = 0-middot------middot- (11C)

e S~K~ ~~~ (11) ~M~ ~vWf J~hr~middot O~ td-J6 _ _ AAtA I ~fc-VC JA-y~yNV~~ ~I k~fw~ ~ere--o-e

ttltf~~p _~CU~ - 0~R lf~Cvk~ 0(j

-0

(j)

~ SyvfV(~ DcrmfY)

(i Ccn-v01middot~1o PYY1~

4 CcYvIwR DC-Vlr~

b ~EIAGA1 Olripi Ncr -RESEfVOR bull LlQU D - l-I ltJuio 11N ~ bull G-AS -y GAS TIN~

bull D~y CJRANlAl-AR HATt=~A l S

-gt I3gtANKE~ -- ~IIO

==0 (18 )

(1- 9 )

N~ Ne Z ( 110 )--1--+ 0r 11

----_shy -

gt

GfJ) JI vOIic S TRUL Ugt-E

(SThnnAtlt-E U1iGIAilt= (eAGA~ Tilt)

0~Vv 11-1-1 kl~ ~~ l~ W~1Yv(AV 11iJC NWI~ pV4lt~- I-VZNVfv1~gt )tNYt~1I vv ~k-K

0 B~M tlYtAlaquo~1middot VOk~)CAlt~ trYMiiMA n(ilA(lt~w ev~cvlt u I U ~

tvv--)~V ~ BVt-ct IX-l~~ Gr-C~ -gt Dtclt( ~ = J-IX

B~ ~d-~ --) ~ve kcvA == fj LL

gt Bc~ V1tbuuA p~f~~ J~cfk Jvo1-~rowfo c B~ lnUv~ ~~ZfA~~ 1ILtTfltN HOL-E I

d Tamp~I~p~g~ pldcgt JeMV ~mW~~M1 ~f

~-~ 1vJ~ ~ ~

dOL ~ ~ ~ 4eACTY _B~V~~x ~

dLL=B~ H~

~a ~~~r - ~ - -- ~Y~l r = 12 wc = cp

--- a~

I -7 ~dJI- -- -~r- ~ - - - bullbull

- ~ y d ~4gti

~ ~----- - --- - ---~-- --------~--~~- -- _-------- shy

6 Vamp11JvV IV~~IV f~~v- l(vWr ( 1 11 )

iOlt itmiddot (U((O)( d4raquoj cent lt1 -- ___--

) 1( (j 2-t f ~1 () dq

o

2 R V-o Ncp hYl P + R 0 bull 2shy

2R Gt Np ~ (J + 2RCi 2 ~ (1- Cud cent ) -= 0 t ~ - ~ ( 1-I-C6lp

i q ( 1 -- Camp () ) =- C1g1 (1- C CJ )

)[ ~cr==~~qJ)- _M~_ ~_lt ____bull ____ _bull _ __~__

(10) --)

Npoundr -~~ - - -1 ~3 ~ -middot~t

1 - - J

Nt _ o~ ( - etdq) I (22)1+Ud-J - I

- - ilz ---j-=------------~-------- shy

Me

----shy ~

LOJ 1 I T~L J rrrTT q-- ---Q-_ __ _ 11 n fgt1zvIl r~t ~~ ~41 ~~ dv~ (oVDYir~

z = (tjtf--ltrr cp) Uf(f cP -= fJn CArd- 2 rp

Y = (~heltn- ~ ) ltYvn cp Jh((raquo- cent ~~ q

NEt = - Ci Z - Ncp - laquo bullbull aj

ti if - - 01-1cor (jJ 1- 2 h ~~ =- ~~2 (1 ~ 2 cltraquo 2q)

~------- a CJ1 (2 Lj)0~ 2 Q73- 2Y

)

N (Jgt 118--+----2 -0

IJ 2

~----~

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 7: Konstruksi Beton IV 01.pdf

(j)

~ SyvfV(~ DcrmfY)

(i Ccn-v01middot~1o PYY1~

4 CcYvIwR DC-Vlr~

b ~EIAGA1 Olripi Ncr -RESEfVOR bull LlQU D - l-I ltJuio 11N ~ bull G-AS -y GAS TIN~

bull D~y CJRANlAl-AR HATt=~A l S

-gt I3gtANKE~ -- ~IIO

==0 (18 )

(1- 9 )

N~ Ne Z ( 110 )--1--+ 0r 11

----_shy -

gt

GfJ) JI vOIic S TRUL Ugt-E

(SThnnAtlt-E U1iGIAilt= (eAGA~ Tilt)

0~Vv 11-1-1 kl~ ~~ l~ W~1Yv(AV 11iJC NWI~ pV4lt~- I-VZNVfv1~gt )tNYt~1I vv ~k-K

0 B~M tlYtAlaquo~1middot VOk~)CAlt~ trYMiiMA n(ilA(lt~w ev~cvlt u I U ~

tvv--)~V ~ BVt-ct IX-l~~ Gr-C~ -gt Dtclt( ~ = J-IX

B~ ~d-~ --) ~ve kcvA == fj LL

gt Bc~ V1tbuuA p~f~~ J~cfk Jvo1-~rowfo c B~ lnUv~ ~~ZfA~~ 1ILtTfltN HOL-E I

d Tamp~I~p~g~ pldcgt JeMV ~mW~~M1 ~f

~-~ 1vJ~ ~ ~

dOL ~ ~ ~ 4eACTY _B~V~~x ~

dLL=B~ H~

~a ~~~r - ~ - -- ~Y~l r = 12 wc = cp

--- a~

I -7 ~dJI- -- -~r- ~ - - - bullbull

- ~ y d ~4gti

~ ~----- - --- - ---~-- --------~--~~- -- _-------- shy

6 Vamp11JvV IV~~IV f~~v- l(vWr ( 1 11 )

iOlt itmiddot (U((O)( d4raquoj cent lt1 -- ___--

) 1( (j 2-t f ~1 () dq

o

2 R V-o Ncp hYl P + R 0 bull 2shy

2R Gt Np ~ (J + 2RCi 2 ~ (1- Cud cent ) -= 0 t ~ - ~ ( 1-I-C6lp

i q ( 1 -- Camp () ) =- C1g1 (1- C CJ )

)[ ~cr==~~qJ)- _M~_ ~_lt ____bull ____ _bull _ __~__

(10) --)

Npoundr -~~ - - -1 ~3 ~ -middot~t

1 - - J

Nt _ o~ ( - etdq) I (22)1+Ud-J - I

- - ilz ---j-=------------~-------- shy

Me

----shy ~

LOJ 1 I T~L J rrrTT q-- ---Q-_ __ _ 11 n fgt1zvIl r~t ~~ ~41 ~~ dv~ (oVDYir~

z = (tjtf--ltrr cp) Uf(f cP -= fJn CArd- 2 rp

Y = (~heltn- ~ ) ltYvn cp Jh((raquo- cent ~~ q

NEt = - Ci Z - Ncp - laquo bullbull aj

ti if - - 01-1cor (jJ 1- 2 h ~~ =- ~~2 (1 ~ 2 cltraquo 2q)

~------- a CJ1 (2 Lj)0~ 2 Q73- 2Y

)

N (Jgt 118--+----2 -0

IJ 2

~----~

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 8: Konstruksi Beton IV 01.pdf

GfJ) JI vOIic S TRUL Ugt-E

(SThnnAtlt-E U1iGIAilt= (eAGA~ Tilt)

0~Vv 11-1-1 kl~ ~~ l~ W~1Yv(AV 11iJC NWI~ pV4lt~- I-VZNVfv1~gt )tNYt~1I vv ~k-K

0 B~M tlYtAlaquo~1middot VOk~)CAlt~ trYMiiMA n(ilA(lt~w ev~cvlt u I U ~

tvv--)~V ~ BVt-ct IX-l~~ Gr-C~ -gt Dtclt( ~ = J-IX

B~ ~d-~ --) ~ve kcvA == fj LL

gt Bc~ V1tbuuA p~f~~ J~cfk Jvo1-~rowfo c B~ lnUv~ ~~ZfA~~ 1ILtTfltN HOL-E I

d Tamp~I~p~g~ pldcgt JeMV ~mW~~M1 ~f

~-~ 1vJ~ ~ ~

dOL ~ ~ ~ 4eACTY _B~V~~x ~

dLL=B~ H~

~a ~~~r - ~ - -- ~Y~l r = 12 wc = cp

--- a~

I -7 ~dJI- -- -~r- ~ - - - bullbull

- ~ y d ~4gti

~ ~----- - --- - ---~-- --------~--~~- -- _-------- shy

6 Vamp11JvV IV~~IV f~~v- l(vWr ( 1 11 )

iOlt itmiddot (U((O)( d4raquoj cent lt1 -- ___--

) 1( (j 2-t f ~1 () dq

o

2 R V-o Ncp hYl P + R 0 bull 2shy

2R Gt Np ~ (J + 2RCi 2 ~ (1- Cud cent ) -= 0 t ~ - ~ ( 1-I-C6lp

i q ( 1 -- Camp () ) =- C1g1 (1- C CJ )

)[ ~cr==~~qJ)- _M~_ ~_lt ____bull ____ _bull _ __~__

(10) --)

Npoundr -~~ - - -1 ~3 ~ -middot~t

1 - - J

Nt _ o~ ( - etdq) I (22)1+Ud-J - I

- - ilz ---j-=------------~-------- shy

Me

----shy ~

LOJ 1 I T~L J rrrTT q-- ---Q-_ __ _ 11 n fgt1zvIl r~t ~~ ~41 ~~ dv~ (oVDYir~

z = (tjtf--ltrr cp) Uf(f cP -= fJn CArd- 2 rp

Y = (~heltn- ~ ) ltYvn cp Jh((raquo- cent ~~ q

NEt = - Ci Z - Ncp - laquo bullbull aj

ti if - - 01-1cor (jJ 1- 2 h ~~ =- ~~2 (1 ~ 2 cltraquo 2q)

~------- a CJ1 (2 Lj)0~ 2 Q73- 2Y

)

N (Jgt 118--+----2 -0

IJ 2

~----~

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 9: Konstruksi Beton IV 01.pdf

6 Vamp11JvV IV~~IV f~~v- l(vWr ( 1 11 )

iOlt itmiddot (U((O)( d4raquoj cent lt1 -- ___--

) 1( (j 2-t f ~1 () dq

o

2 R V-o Ncp hYl P + R 0 bull 2shy

2R Gt Np ~ (J + 2RCi 2 ~ (1- Cud cent ) -= 0 t ~ - ~ ( 1-I-C6lp

i q ( 1 -- Camp () ) =- C1g1 (1- C CJ )

)[ ~cr==~~qJ)- _M~_ ~_lt ____bull ____ _bull _ __~__

(10) --)

Npoundr -~~ - - -1 ~3 ~ -middot~t

1 - - J

Nt _ o~ ( - etdq) I (22)1+Ud-J - I

- - ilz ---j-=------------~-------- shy

Me

----shy ~

LOJ 1 I T~L J rrrTT q-- ---Q-_ __ _ 11 n fgt1zvIl r~t ~~ ~41 ~~ dv~ (oVDYir~

z = (tjtf--ltrr cp) Uf(f cP -= fJn CArd- 2 rp

Y = (~heltn- ~ ) ltYvn cp Jh((raquo- cent ~~ q

NEt = - Ci Z - Ncp - laquo bullbull aj

ti if - - 01-1cor (jJ 1- 2 h ~~ =- ~~2 (1 ~ 2 cltraquo 2q)

~------- a CJ1 (2 Lj)0~ 2 Q73- 2Y

)

N (Jgt 118--+----2 -0

IJ 2

~----~

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 10: Konstruksi Beton IV 01.pdf

LOJ 1 I T~L J rrrTT q-- ---Q-_ __ _ 11 n fgt1zvIl r~t ~~ ~41 ~~ dv~ (oVDYir~

z = (tjtf--ltrr cp) Uf(f cP -= fJn CArd- 2 rp

Y = (~heltn- ~ ) ltYvn cp Jh((raquo- cent ~~ q

NEt = - Ci Z - Ncp - laquo bullbull aj

ti if - - 01-1cor (jJ 1- 2 h ~~ =- ~~2 (1 ~ 2 cltraquo 2q)

~------- a CJ1 (2 Lj)0~ 2 Q73- 2Y

)

N (Jgt 118--+----2 -0

IJ 2

~----~

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 11: Konstruksi Beton IV 01.pdf

Hoe

Z=o

(~il) - 2Jc ro Nip vmqgt- + R = 0 r_ 1

2 r( () N rp 81Yl (Ji + 2rt a p lin CPo = 0

r ~ (JJc (2 )IN q) - - ~ 2QgtmiddotH p

NO) ti9 -t r +-~-+t =0

1 z ------ --__-- ---shy

Ne - -0 - Nrp

(2 b)IshyI Namp

r

J

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 12: Konstruksi Beton IV 01.pdf

dr~ fJ -ltraquoe

7~ )1)1 I

t

f -= r =- O yv1 ~ fkt--A ro C( ~ (j)

X=shy

y-=shy0 Z -= ~~ ~ rp Cltn a

Nqgt -= _ a1 Urr-~ ~Ef- (0- ~cp + (CQl 3lt2) )3 ) (27) ~ ~ qJ

Ne = a ~ ~ Jeep (23 UJScent- ~ 2lt1gt - J ecn 4(]) ) (28)

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 13: Konstruksi Beton IV 01.pdf

I1IUampmiddoto 1~~~ y~ ~vt ~~ n~J-4- ~~k~WV ~~ n~~ ~rtAit-V1llaeuro ~ NCP) ~~ H = Nq

f I I ~ t

fbull ~

-jishy

f Jv f

~ amp

tI

I ~li ~ ~

I I

~ t b

JJefj-vUvl Ltvt1~ r~j

Wtpoundw-1A2A ~npCTt~i 0n- 1gt ll10)

(211 )

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

o~ TUJ~~ jzj-cvVl c~ $4~if~-R

t

- - ----~-- ---~--- -~----- --------_- ------- shy

  • Konstruksi Beton IV
  • Konstruksi Beton IV part 2pdf
Page 14: Konstruksi Beton IV 01.pdf

r

t r ~

~ ~~ VcYYLC1 eUt-~ t~ -_~v-i~ l 1

~~ Nrb

ic~ bull _-- __bull____ _A - shy~_

Sqvx rt~gtdvfilt4VY1middot ~~J01 ~- tr0l-middot ~~ l~yenvr IWdV Iv- 1b20Ml 19lt9 6 117 Jl~- dWo-r ~ -a~ t~-~i DC )--ltI~~A0~1A1 ~~ -if0 Me ~-r~ ~ d2j~J-dpoundi3I ~-J~ -w~ v 1-ctfIA cLctpv-F d ~pJ pv-~

u ~Jl ~~~ 0VtltAv1 1fJ8i11jl3b

I

Nfl SF Nltp + -7 lAs

G~ IClt01h1C4___ av

-N~ ~ f~-aM~ ~-gt

Ne+ -

Ne- - 1ltovv~ ~ P4Y1

lOb ~ lt6~~ ~d = IhrmiddotM = 027 ~v1 V~-1~1

s + - S SFshy

Asr - --shy0 ~

s shy

P r~lt4l ~~~~ -gt~e SF 27

be j~~~ Ib-Llmiddot~ ~Al-O- (lt-1-2q - e- ~~ 2080 i~ IAIOL)u u ~(fA

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Page 15: Konstruksi Beton IV 01.pdf

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  • Konstruksi Beton IV
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Page 16: Konstruksi Beton IV 01.pdf

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