3. Statis Momen & Momen Inersia Penampang

STATIS MOMEN

INERSIA PENAMPANG BY :

1

INERSIA PENAMPANG BY :

2

INERSIA PENAMPANG BY :

2

CONTOH SOAL: Carilah sais !"!#$ %#$a!%a$& %#rs#&i %a$'a$& %a(a &a!)ar (i )a*ah i$i (#$&a$ +ara r!s !! (a$ +ara i$#&ral s#hi$&&a (i(a%a-a$ r!s $- )a$&$ %#$a!%a$& %#rs#&i %a$'a$& #rs#).

INERSIA PENAMPANG BY :

3

INERSIA PENAMPANG BY :



INERSIA PENAMPANG BY :

/

INERSIA PENAMPANG BY :

0

INERSIA PENAMPANG BY :



INERSIA PENAMPANG BY :



P#rhi$&a$ (#$&a$ Ta)#l E4EL :

INERSIA PENAMPANG BY :



CONTOH SOAL: 6i-#ahi s#)ah )al"- (#$&a$ %#$a!%a$& )#r)#$- I s#%#ri #r&a!)ar (i )a*ah i$i. A%a)ila (i-#ahi (i!#$si %#$a!%a$& (#$&a$ l#)ar 7)8 9  1/ +!, i$&&i )a(a$ 7h*9  5 +!, #)al sa;a% aas 719  3 +!, #)al )a(a$ 729  2 +! (a$ #)al sa;a% )a*ah 7 39  / +!. Hi$&lah las %#$a!%a$& (a$ ii- )#ra %a(a %#$a!%a$& #rs#) < Penyelesaian : U$- !#!(ah-a$ !a-a %#$a!%a$& (i)a&i !#$'a(i i&a )a&ia$ ;ai, sa;a% aas, )a(a$ (a$ sa;a% )a*ah. 6i-#ahi: 7)8 9  1/ +! 7h*9  5 +! 719  3 +! 729  2 +! 739  / +!

15

Luas penampang (A) : 3

A  ∑  A

i

i =1

   

7)8  × 19 = 7h* × 29 = 7)8  × 39 71/ × 39 = 75 × 29 = 71/ × /9 / = 5 = / 255 +!2

Momen statis terhaap sum!u " : 3

S>  ∑ A i .y i i =1

 ?7)8  × 19.71@2.1 = h* = 39 = ?7h* × [email protected]* = 39 = ?7)8  × 39. 71@2.39  ?71/ × [email protected] = 5 = /9 = ?75 × 29.71@2.5 = /9 = ?71/ × /9. 71@2./9  7/ × 0,/9 = 75 × 2/9 = 7/ × 2,/9  252,/ = 2555 = 1,/  25 +!3 11

Momen statis terhaap sum!u y : 3

S; 

∑  A .x i

i

i =1

 ?7)8  × 19.71@2.)8 9 = ?7h* × 29.71@2.)8 9 = ?7)8  × 39. 71@2.)8 9  ?71/ × [email protected]/9 = ?75 × [email protected]/9 = ?71/ × /9. [email protected]/9  7/ × ,/9 = 75 × ,/9 = 7/ × ,/9  33,/ = 055 !erat = /02,/ Leta# titi# pusat !erat Leta# titi# pusat 3  1/55 +! penampang terhaap sum!u penampang terhaap sum!u y: ": 3

∑ A .x i

Sx

3

i

3

 A

;5  

4280



∑ A i =1

i

∑ A i .yi

Sy

i =1

;5 

200



 A 1500

i =1 3



200

 ,/5 +!

 21,5 +! 12

∑ A i i =1

P#rhi$&a$ (#$&a$ Ta)#l E4EL :

INERSIA PENAMPANG BY :

13

MOMEN INERSIA 7I9

INERSIA PENAMPANG BY :

1

INERSIA PENAMPANG BY :

1/

GAMBAR PENAMPANG

INERSIA PENAMPANG BY :

10

INERSIA PENAMPANG BY :

1

INERSIA PENAMPANG BY :

1

INERSIA PENAMPANG BY :

1

INERSIA PENAMPANG BY :

25

INERSIA PENAMPANG BY :

21

INERSIA PENAMPANG BY :

22

UNTUK LEBIH ELASNYA 6APAT 6ILIHAT PA6A TABEL BERIKUT INI :

INERSIA PENAMPANG BY :

23

INERSIA PENAMPANG BY :

2

INERSIA PENAMPANG BY :

2/

CONTOH SOAL :

INERSIA PENAMPANG BY :

20

INERSIA PENAMPANG BY :

2

INERSIA PENAMPANG BY :

2

INERSIA PENAMPANG BY :

2