momen, lendutan, momenxy

1. Nama : SHALEH AFIF HASIBUAN
Nim : 160404009
E = 25000 mpa
 Hitung dan gambarkan, lendutan di x = 0,5a dan di y = 0,5b
 Hitung dan gambarkan, Mx di x = 0,5a
 Hitung dan gambarkan, Mxy di x = 0
 Hitung dan gambarkan Myx di y = 0

2. 1. Lendutan
untuk x = 0,5 x 3 = 1,5 m
x y koef sin sin w(m)
1.5 0 0.462167 1 0 0
1.5 0.5 0.462167 1 0.258819 0.119618
1.5 1 0.462167 1 0.5 0.231083
1.5 1.5 0.462167 1 0.707107 0.326801
1.5 2 0.462167 1 0.866025 0.400248
1.5 2.5 0.462167 1 0.965926 0.446419
1.5 3 0.462167 1 1 0.462167
1.5 3.5 0.462167 1 0.965926 0.446419
1.5 4 0.462167 1 0.866025 0.400248
1.5 4.5 0.462167 1 0.707107 0.326801
1.5 5 0.462167 1 0.5 0.231083
1.5 5.5 0.462167 1 0.258819 0.119618
1.5 6 0.462167 1 1.23E-16 5.66E-17
Untuk y = 0,5 x 6 = 3 m
x y koef sin sin w(m)
0 3 0.462167 0 1 0
0.5 3 0.462167 0.5 1 0.231083
1 3 0.462167 0.866025 1 0.400248
1.5 3 0.462167 1 1 0.462167
2 3 0.462167 0.866025 1 0.400248
2.5 3 0.462167 0.5 1 0.231083
3 3 0.462167 1.23E-16 1 5.66E-17

3. 2. Menghitung Momen
Mx pada y = 3 m
My pada x = 1,5 m
x y koef sin sin My(kNm)
1.5 0 788.673 1 0 0
1.5 0.5 788.673 1 0.258819 204.1236
1.5 1 788.673 1 0.5 394.3365
1.5 1.5 788.673 1 0.707107 557.676
1.5 2 788.673 1 0.866025 683.0108
1.5 2.5 788.673 1 0.965926 761.7996
1.5 3 788.673 1 1 788.673
1.5 3.5 788.673 1 0.965926 761.7996
1.5 4 788.673 1 0.866025 683.0108
1.5 4.5 788.673 1 0.707107 557.676
1.5 5 788.673 1 0.5 394.3365
1.5 5.5 788.673 1 0.258819 204.1236
1.5 6 788.673 1 1.23E-16 9.66E-14
x y koef sin sin Mx(kNm)
0 3 1840.237 0 1 0
0.5 3 1840.237 0.5 1 920.1185
1 3 1840.237 0.866025 1 1593.692
1.5 3 1840.237 1 1 1840.237
2 3 1840.237 0.866025 1 1593.692
2.5 3 1840.237 0.5 1 920.1185
3 3 1840.237 1.23E-16 1 2.25E-13

4. 3. Menghitung Mxy dan Myx
Mxy pada x = 0
x y koef cos cos Mxy(kNm)
0 0 97.36703 1 1 97.36703
0 0.5 97.36703 1 0.965926 94.04933
0 1 97.36703 1 0.866025 84.32232
0 1.5 97.36703 1 0.707107 68.84889
0 2 97.36703 1 0.5 48.68352
0 2.5 97.36703 1 0.258819 25.20044
0 3 97.36703 1 6.13E-17 5.96E-15
0 3.5 97.36703 1 -0.25882 -25.2004
0 4 97.36703 1 -0.5 -48.6835
0 4.5 97.36703 1 -0.70711 -68.8489
0 5 97.36703 1 -0.86603 -84.3223
0 5.5 97.36703 1 -0.96593 -94.0493
0 6 97.36703 1 -1 -97.367
Myx pada y = 0
x y koef cos cos Myx(kNm)
0 0 97.36703 1 1 97.36703
0.5 0 97.36703 0.866025 1 84.32232
1 0 97.36703 0.5 1 48.68352
1.5 0 97.36703 6.13E-17 1 5.96E-15
2 0 97.36703 -0.5 1 -48.6835
2.5 0 97.36703 -0.86603 1 -84.3223
3 0 97.36703 -1 1 -97.367

5. Gambar lendutan , Mx,My,Mxy,Myx
Mx = 1840kNm
Mxy = 97kNm

6. My = 788 kNm
Myx = 97k Nm

7. LENDUTAN