Revisi Soal & Penyelesaian, Metode Hardy Cross

SOAL

Momen pri Batang AB

Batang BC

a b L ( a+b)

Mab Mba

= =

2m 2m 4m

Pab^2/l^2 = Pa^2b/l^2 =

1.05 -1.05

MBC MCB L

Faktor distr Titik B nBA : nBC nBA : nBC

= = =

nBA nBC

= =

Titik C nBC : nCD nBC : nCD Ncb nCD

= = = = =

4EIBA/LBA : 4EIBC/LBC EI/4 : 2EI/4 0.25 :

0.5

0.333333 0.666667

4EICB/LCB:3EICD/LCD 4.2EI/4 : 3EI/4 8 : 0.727273 0.272727

3

TABEL CRO Titik Batang Fak.distribusi Mo Distribusi Induksi Distribusi Induksi Distribusi Induksi Distribusi Induksi Distribusi Induksi Distribusi Induksi Distribusi Induksi Distribusi Induksi Distribusi Induksi Distribusi Induksi Distribusi Induksi jumlah

A AB

BA 0.333333 1.05 -1.05 0 -0.18333 -0.091666667 0 0.113636 0.056818182 0 -0.02222 -0.011111111 0 0.013774 0.006887052 0 -0.00269 -0.001346801 0 0.00167 0.000834794 0 -0.00033 -0.000163249 0 0.000202 0.000101187 0 -4E-05 -1.97877E-05 0 2.45E-05 1.22651E-05 0 -4.8E-06 -2.39851E-06 1.010343467 -1.12931

B BC 0.666666667 1.6 -0.366666667 -0.340909091 0.227272727 0.066666667 -0.044444444 -0.041322314 0.027548209 0.008080808 -0.005387205 -0.005008765 0.003339177 0.000979492 -0.000652995 -0.000607123 0.000404749 0.000118726 -7.91509E-05 -7.35907E-05 4.90605E-05 1.43911E-05 -9.59404E-06 -8.92008E-06 1.129304147

C D CB CD DC 0.72727273 0.27272727 -1.6 2.5375 -0.6818182 -0.2556818 -0.1833333 0.13333333 0.05 0.11363636 -0.0826446 -0.0309917 -0.0222222 0.01616162 0.00606061 0.0137741 -0.0100175 -0.0037566 -0.0026936 0.00195898 0.00073462 0.00166959 -0.0012142 -0.0004553 -0.0003265 0.00023745 8.9045E-05 0.00020237 -0.0001472 -5.519E-05 -3.958E-05 2.8782E-05 1.0793E-05 2.453E-05 -1.784E-05 -6.69E-06 -4.797E-06 -2.3034525 2.30344771

0 0 0 0 0 0 0 0 0 0 0 0 0 0

FREE BOD Batang AB

Batang BC 2.1 ton

MAB

1.01 Ton.m RA

RA RA RB RB

= = = =

p/2+(MAB MBA)/L 1.020258 Ton P-RA 1.079742 Ton

MBA RB

1.13 Ton.m

MBA RB RB RB RC RC1

Reaksi perle RA RB RC RD

JARAK

MAE

0≤

X

≤2

MEB

0≤

X

≤2

MBC

0≤

X

≤4

0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75

PERHITUNGAN MOM JARAK YG DI URUTKAN MOMEN DARI GESER KIRI KE KANAN 0 -1.01034 1.020258 0.25 -0.75528 1.020258 0.5 -0.50021 1.020258 0.75 -0.24515 1.020258 1 0.009914 1.020258 1.25 0.264979 1.020258 1.5 0.520043 1.020258 1.75 0.775107 1.020258 2 1.030172 1.020258 2 1.030172 -1.07974 2.25 0.760236 -1.07974 2.5 0.490301 -1.07974 2.75 0.220365 -1.07974 3 -0.04957 -1.07974 3.25 -0.31951 -1.07974 3.5 -0.58944 -1.07974 3.75 -0.85938 -1.07974 4 -1.12931 -1.07974 4 -1.12931 3.639658 4.25 -0.6402 3.339658 4.5 -0.22608 3.039658 4.75 0.113034 2.739658 5 0.37715 2.439658 5.25 0.566266 2.139658 5.5 0.680381 1.839658 5.75 0.719497 1.539658 6 0.683613 1.239658 6.25 0.572728 0.939658 6.5 0.386844 0.639658 6.75 0.12596 0.339658 7 -0.20992 0.039658 7.25 -0.62081 -0.26034 7.5 -1.10669 -0.56034 7.75 -1.66758 -0.86034

MCF

0≤

X

≤2

MFD

0≤

X

≤2

4 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2

8 8 8.25 8.5 8.75 9 9.25 9.5 9.75 10 10 10.25 10.5 10.75 11 11.25 11.5 11.75 12

-2.30346 -2.30346 -1.797 -1.29053 -0.78406 -0.2776 0.228867 0.735333 1.241799 1.748265 1.748265 2.164106 2.398696 2.452037 2.324128 2.014969 1.52456 0.8529 -8.9E-06

-1.16034 6.825863 6.525863 6.225863 5.925863 5.625863 5.325863 5.025863 4.725863 4.425863 6.825863 5.800863 4.775863 3.750863 2.725863 1.700863 0.675863 -0.34914 -1.37414

GAMBAR DIAGRAM M SOAL

GAMBAR DIAGRAM MOMEN

MOMEN 3 2 1

1 0 0

2

4

6

8

10

12

14

-1

MOMEN

-2 -3

GAMBAR DIAGRAM GESER

GAYA GESER 8 7 6 5 4 3

GAYA GESER

2 1 0 -1 0 -2 -3

2

4

6

8

10

12

14

Nama Nim

DATA INPUT

A B C P q1 q2 AB BC CD

= = = = = = = = =

Harry Hutagalung 3101001129 1 2 9 2.1 1.2 2.9 4 4 4

Momen primer

S

= =

ql^2/12 ql^2/12 4m Faktor distribusi

= =

1.6 -1.6

MCD

=

7ql^2/128 =

TABEL CROSS

FREE BODY Batang CD

q1

1.2 ton/m MCD

1.13 Ton.m

MCB

2.303 Ton.m

2.303453 Ton.m RC

RC = = = =

ql/2+(MBC+MCB)/L 2.106463 Q1-RB 2.693537

RC2 RD

= =

2.025863 2.424137

Reaksi perletakan = = = =

1.020258 3.186205 4.7194 2.424137

Ton Ton Ton Ton

PERHITUNGAN MOMEN & GESER

GAMBAR DIAGRAM MOMEN & GESER

MOMEN

GAYA GESER

Hutagalung

L

2.5375

4m

q2

2.9

RD Ton/m