momen lapangan balok

8/17/2019 Momen Lapangan balok

1/28

Perhitungan Momen Maksimum Balok B107 bentang 4m (lantai 2 line 8) Kombinasi 2

a. Perataan Beban Tipe B

h = 2 m, hb = 1/ ! 2"00 =

4 m

b. Perataan Beban Tipe A

a b a

2 1 2 a = 2"00

b = 1"00

h = 2

#a = $"0 % 1"0 ) ! 2"0 ! 0"$

2

= 2"0 ! 2"0 ! 0"$ =

= 2"0 ! 0"$ =

&1 &2 &1&


2/28

$"0

Mma! 1 = #a"1/2"' &1"(1/ "a%b/2) (&2"b/4)

= 4" 2

Mma! 2 =

= 1/8 ! h* ! 2$ = "1 ha

Mma! 1 = Mma! 2

4" 2 = "1 ha

ha = 4" 2 / "1 = 1"$7 m

Perhitungan Pembebanan

+iketahui

Pan-ang Bentang = 4 m

Perataan Beban b = 0".7 m

Berat sen*iri balok = 0" ! ( 0"4$ 0"12 ) ! 2400

= 2 7". Kg/m

= 2" 7. k /m

Beban Mati &ambahan = 2"$ ! "$$

= 8"87$ k /m

Beban Plat = ( 0".7 % 0".7 ) ! 1"0

= 1" 77 k /m

= 12".28 k /m

= ( 0".7 % 0".7 ) ! 2"$

= " k /m

Kombinasi 1 = 1"4 +

= 1"4 ! 12".28= 17".7 .7 k /m

Kombinasi 2 = 1"2 + % 1". '

= 1"2 ! 17".7 .7 % 1". ! "

= 2."$48 k /m

1/8 " h* " ' 2

&otal Beban Mati ( *)

Beban hi*u ( l)

Beban ter aktor ( u)


3/28

Momen u-ung Kiri (M3) = 7".$27 k m

Momen u-ung Kanan (MB) = 47" 7 8 k m+engan an-ang bentang = 4 m

Beban merata = 17".7 .7 k /m

7".$27 k m 47"= 17".7 .7 k /m

4 m

2."1$1 k 2."1$1 k

"41 k "41 k

11"84$ k 11"84$ k

#a = 47"40 k #b = 4"8 2 k

Momen maksimum (M!) akni

=

=

= 17".7 ..7 " 4 % 7".$27 / 4 % 47" 7 8 / 4 ) x ½ . 17".= 47"40 ! 8"840 7".$27

= 0

= 47"40 17".7 .7 x = 0

17".7 .7 ! = 47"40

! = 2".81$4 m

M x

(½ . x²

* Mx

* x

1/2_ =

1/2_ =

/_ =

/_ =

/_ =

/_ =

−1/2.^2_ . − _

(1/2 . )_ + _ / + _ / −1/2.^2_ . − _


4/28

47"40 ! 8"8 8 7".$27

= 47"40 ! 2".81$4 8"8 8 ! 2".81$4 7".$27

= 2$" 11$ k m

Maka M x = x²

²


5/28

0".7 m

= "0

2"0

1"0


6/28


7/28

7 8 k m

.7 7".$27 x²


8/28


9/28



h = 2 m, hb = 1/ ! 2"00 =

4 m


a b a

2 1 2 a = 2"00

b = 1"00

h = 2

#a = $"0 % 1"0 ) ! 2"0 ! 0"$

2

= 2"0 ! 2"0 ! 0"$ =

= 2"0 ! 0"$ =

&1 &2 &1&


10/28

$"0

Mma! 1 = #a"1/2"' &1"(1/ "a%b/2) (&2"b/4)

= 4" 2

Mma! 2 =

= 1/8 ! h* ! 2$ = "1 ha

Mma! 1 = Mma! 2

4" 2 = "1 ha

ha = 4" 2 / "1 = 1"$7 m


+iketahui




= 2 7". Kg/m

= 2" 7. k /m


= 8"87$ k /m

Beban Plat = ( 0".7 % 0".7 ) ! 1"0

= 1" 77 k /m

= 12".28 k /m

= ( 0".7 % 0".7 ) ! 2"$

= " k /m

Kombinasi 1 = 1"4 +

= 1"4 ! 12".28= 17".7 .7 k /m

Kombinasi 2 = 1"2 + % 1". '

= 1"2 ! 17".7 .7 % 1". ! "

= 2."$48 k /m

1/8 " h* " ' 2


Beban hi*u ( l)



11/28

Momen u-ung Kiri (M3) = 4 "17. k m

Momen u-ung Kanan (MB) = $$"1211 k m+engan an-ang bentang = 4 m

Beban merata = 2."$48 k /m

4 "17. k m $$"1= 2."$48 k /m

4 m

$ "0 8 k $ "0 8 k

10"7 4 k 10"7 4 k

1 "780 k 1 "780 k

#a = 77".72 k #b = 28"$24 k


=

=

= 2."$48 " 4 % 4 "17. / 4 % $$"1211 / 4 ) x ½ . 2."$= 77".72 ! 20"1 8 4 "17.

= 0

= 77".72 40" $2 x = 0

40" $2 ! = 77".72

! = 1" 2280. m

M x

(½ . x²

* Mx

* x

1/2_ =

1/2_ =

/_ =

/_ =

/_ =

/_ =

−1/2.^2_ . − _

(1/2 . )_ + _ / + _ / −1/2.^2_ . − _


12/28

77".72 ! 20"1 7. 4 "17.

= 77".72 ! 1" 2280. 20"1 7. ! 1" 2280. 4 "17.

= 1"4 82 k m

Maka M x = x²

²


13/28

0".7 m

= "0

2"0

1"0


14/28


15/28

211 k m

8 4 "17. x²


16/28


17/28


18/28



h = 2 m, hb = 1/ ! 2"00 =

4 m


a b a

2 1 2 a = 2"00

b = 1"00

h = 2

#a = $"0 % 1"0 ) ! 2"0 ! 0"$

2

= 2"0 ! 2"0 ! 0"$ =

= 2"0 ! 0"$ =

&1 &2 &1&


19/28

$"0

Mma! 1 = #a"1/2"' &1"(1/ "a%b/2) (&2"b/4)

= 4" 2

Mma! 2 =

= 1/8 ! h* ! 2$ = "1 ha

Mma! 1 = Mma! 2

4" 2 = "1 ha

ha = 4" 2 / "1 = 1"$7 m


+iketahui




= 2 7". Kg/m

= 2" 7. k /m


= 8"87$ k /m

Beban Plat = ( 0".7 % 0".7 ) ! 1"0

= 1" 77 k /m

= 12".28 k /m

= ( 0".7 % 0".7 ) ! 2"$

= " k /m

Kombinasi 1 = 1"4 +

= 1"4 ! 12".28= 17".7 .7 k /m

Kombinasi 2 = 1"2 + % 1". '

= 1"2 ! 17".7 .7 % 1". ! "

= 2."$48 k /m

Kombinasi = 1" . + % 1 '

= 1" . ! 2."$48 % 1 ! "

= 20"4$1 k /m

1/8 " h* " ' 2


Beban hi*u ( l)



20/28

Momen u-ung Kiri (M3) = % 11"0442 k m

Momen u-ung Kanan (MB) = 111"$714 k m+engan an-ang bentang = 4 m

Beban merata = 20"4$1 k /m

11"0442 k m 111"= 20"4$1 k /m

4 m

24"$7 k 24"$7 k

2"7.1 k 2"7.1 k

27"8 k 27"8 k

#a = 4 "71 k #b = 0"$$ k


=

=

= 20"4$1 " 4 % 11"0442 / 4 % 111"$714 / 4 ) x ½ . 20"= 4 "71 ! 22"8.7 % 11"0442

= 0

= 4 "71 4$"7 8 x = 0

4$"7 8 ! = 4 "71

! = 1"08. $$ m

5ehingga ti*ak ter*a at momen maksimal *i *aerah la angan

M x

(½ . x²

* Mx

* x

1/2_ =

1/2_ =

/_ =

/_ =

/_ =

/_ =

−1/2.^2_ . + _

(1/2 . )_ − _ / + _ / −1/2.^2_ . + _


21/28


22/28

0".7 m

= "0

2"0

1"0


23/28


24/28

714 k m

$1 % 11"0442 x²


25/28


26/28

TABLE: Beam ForcesStory Beam Unique Name Load Case/Combo

#$un% &i'ian ai 2 *107 669 &+M*,- ,"1 "37.6527an ai 2 *107 669 &+M*,- ,"2 "43.176an ai 2 *107 669 &+M*,- ,"3 202.3001

an ai 2 *107 669 &+M*,- ,"4 223.6134an ai 2 *107 669 &+M*,- ,"5 "295.0649an ai 2 *107 669 &+M*,- ,"6 "287.199an ai 2 *107 669 &+M*,- ,"7 11.0442an ai 2 *107 669 &+M*,- ,"8 62.0071an ai 2 *107 669 &+M*,- ,"9 "138.2997an ai 2 *107 669 &+M*,- ,"10 "91.1022an ai 2 *107 669 &+M*,- ,"11 210.3685an ai 2 *107 669 &+M*,- ,"12 231.6818an ai 2 *107 669 &+M*,- ,"13 "286.9965

an ai 2 *107 669 &+M*,- ,"14 "279.1306an ai 2 *107 669 &+M*,- ,"15 13.0879an ai 2 *107 669 &+M*,- ,"16 70.0755an ai 2 *107 669 &+M*,- ,"17 "130.2313an ai 2 *107 669 &+M*,- ,"18 "83.0337

en%an emikian momen maksimum un uk a ok *107Momen

Momen ne%a i u$un% &i'i

Momen osi i u$un% &i'iMomen osi i a an%anMomen -e%a i u$un% kananMomen osi i u$un% kanan


27/28

Moment Station V TMaksima a an%an #$un% &anan m k- k-"m

25.9115 "47.3798 0 "56.6743 "0.002631.4982 "55.1211 0 "62.6705 0.0019

225.3001 "311.918 0 46.7638 "2.735

231.8425 "314.6512 0 65.4003 2.0079239.4314 223.7521 0 "170.0515 "2.0068217.4134 204.0976 0 "171.6558 2.7353

38.0608 "111.5714 0 "39.2932 "8.01368.4124 "145.9512 0 "7.3977 7.795457.8751 48.9604 0 "104.5402 "7.794634.5301 9.8427 0 "78.3121 8.0136

254.1434 "301.7652 0 58.9083 "2.7344245.2455 "304.4984 0 77.5448 2.0085273.5248 233.9049 0 "157.907 "2.0062

235.8475 214.2504 0 "159.5113 2.735837.9709 "110.7477 0 "37.7799 "8.011398.1348 "135.7983 0 4.7468 7.79659.8341 59.1132 0 "92.3957 "7.79432.2888 19.9955 0 "66.1676 8.0142

a ue (k-"m) oa om o"295.0649 &+M*,- ,"5

231.6818 &+M*,- ,"12273.5248 &+M*,- ,"8"314.6512 &+M*,- ,"4233.9049 &+M*,- ,"13


28/28

Mk-"m

momen lapangan balok

Documents