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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&
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$"0
Mma! 1 = #a"1/2"' &1"(1/ "a%b/2) (&2"b/4)
= 4" 2
Mma! 2 =
= 1/8 ! h* ! 2$ = "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"$ ! "$$
= 8"87$ k /m
Beban Plat = ( 0".7 % 0".7 ) ! 1"0
= 1" 77 k /m
= 12".28 k /m
= ( 0".7 % 0".7 ) ! 2"$
= " k /m
Kombinasi 1 = 1"4 +
= 1"4 ! 12".28= 17".7 .7 k /m
Kombinasi 2 = 1"2 + % 1". '
= 1"2 ! 17".7 .7 % 1". ! "
= 2."$48 k /m
1/8 " h* " ' 2
&otal Beban Mati ( *)
Beban hi*u ( l)
Beban ter aktor ( u)
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Momen u-ung Kiri (M3) = 7".$27 k m
Momen u-ung Kanan (MB) = 47" 7 8 k m+engan an-ang bentang = 4 m
Beban merata = 17".7 .7 k /m
7".$27 k m 47"= 17".7 .7 k /m
4 m
2."1$1 k 2."1$1 k
"41 k "41 k
11"84$ k 11"84$ k
#a = 47"40 k #b = 4"8 2 k
Momen maksimum (M!) akni
=
=
= 17".7 ..7 " 4 % 7".$27 / 4 % 47" 7 8 / 4 ) x ½ . 17".= 47"40 ! 8"840 7".$27
= 0
= 47"40 17".7 .7 x = 0
17".7 .7 ! = 47"40
! = 2".81$4 m
M x
(½ . x²
* Mx
* x
1/2_ =
1/2_ =
/_ =
/_ =
/_ =
/_ =
−1/2.^2_ . − _
(1/2 . )_ + _ / + _ / −1/2.^2_ . − _
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47"40 ! 8"8 8 7".$27
= 47"40 ! 2".81$4 8"8 8 ! 2".81$4 7".$27
= 2$" 11$ k m
Maka M x = x²
²
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0".7 m
= "0
2"0
1"0
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7 8 k m
.7 7".$27 x²
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Perhitungan Momen Maksimum Balok B107 bentang 4m (lantai 2 line 8) Kombinasi 2
a. Perataan Beban Tipe B
h = 2 m, hb = 1/ ! 2"00 =
4 m
b. Perataan Beban Tipe A
a b a
2 1 2 a = 2"00
b = 1"00
h = 2
#a = $"0 % 1"0 ) ! 2"0 ! 0"$
2
= 2"0 ! 2"0 ! 0"$ =
= 2"0 ! 0"$ =
&1 &2 &1&
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$"0
Mma! 1 = #a"1/2"' &1"(1/ "a%b/2) (&2"b/4)
= 4" 2
Mma! 2 =
= 1/8 ! h* ! 2$ = "1 ha
Mma! 1 = Mma! 2
4" 2 = "1 ha
ha = 4" 2 / "1 = 1"$7 m
Perhitungan Pembebanan
+iketahui
Pan-ang Bentang = 4 m
Perataan Beban b = 0".7 m
Berat sen*iri balok = 0" ! ( 0"4$ 0"12 ) ! 2400
= 2 7". Kg/m
= 2" 7. k /m
Beban Mati &ambahan = 2"$ ! "$$
= 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)
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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
Momen maksimum (M!) akni
=
=
= 2."$48 " 4 % 4 "17. / 4 % $$"1211 / 4 ) x ½ . 2."$= 77".72 ! 20"1 8 4 "17.
= 0
= 77".72 40" $2 x = 0
40" $2 ! = 77".72
! = 1" 2280. m
M x
(½ . x²
* Mx
* x
1/2_ =
1/2_ =
/_ =
/_ =
/_ =
/_ =
−1/2.^2_ . − _
(1/2 . )_ + _ / + _ / −1/2.^2_ . − _
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77".72 ! 20"1 7. 4 "17.
= 77".72 ! 1" 2280. 20"1 7. ! 1" 2280. 4 "17.
= 1"4 82 k m
Maka M x = x²
²
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0".7 m
= "0
2"0
1"0
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211 k m
8 4 "17. x²
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Perhitungan Momen Maksimum Balok B107 bentang 4m (lantai 2 line 8) Kombinasi 2
a. Perataan Beban Tipe B
h = 2 m, hb = 1/ ! 2"00 =
4 m
b. Perataan Beban Tipe A
a b a
2 1 2 a = 2"00
b = 1"00
h = 2
#a = $"0 % 1"0 ) ! 2"0 ! 0"$
2
= 2"0 ! 2"0 ! 0"$ =
= 2"0 ! 0"$ =
&1 &2 &1&
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$"0
Mma! 1 = #a"1/2"' &1"(1/ "a%b/2) (&2"b/4)
= 4" 2
Mma! 2 =
= 1/8 ! h* ! 2$ = "1 ha
Mma! 1 = Mma! 2
4" 2 = "1 ha
ha = 4" 2 / "1 = 1"$7 m
Perhitungan Pembebanan
+iketahui
Pan-ang Bentang = 4 m
Perataan Beban b = 0".7 m
Berat sen*iri balok = 0" ! ( 0"4$ 0"12 ) ! 2400
= 2 7". Kg/m
= 2" 7. k /m
Beban Mati &ambahan = 2"$ ! "$$
= 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
Kombinasi = 1" . + % 1 '
= 1" . ! 2."$48 % 1 ! "
= 20"4$1 k /m
1/8 " h* " ' 2
&otal Beban Mati ( *)
Beban hi*u ( l)
Beban ter aktor ( u)
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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"$$ k
Momen maksimum (M!) akni
=
=
= 20"4$1 " 4 % 11"0442 / 4 % 111"$714 / 4 ) x ½ . 20"= 4 "71 ! 22"8.7 % 11"0442
= 0
= 4 "71 4$"7 8 x = 0
4$"7 8 ! = 4 "71
! = 1"08. $$ 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_ . + _
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0".7 m
= "0
2"0
1"0
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714 k m
$1 % 11"0442 x²
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TABLE: Beam ForcesStory Beam Unique Name Load Case/Combo
#$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
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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
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Mk-"m