DATA HASIL PRAKTIKUM MATERI DEFLEKSI DENGAN METODE LUAS MOMEN
Massa beban 1 (M1) : Massa beban 2 (M2) :
Panjang plat (L) :
Lebar plat (b) :
Tebal plat (h) :
Gravitasi (g) :
Modulus Elastisitas (E) :
Beban 1 Titik
Pembebanan Panjang Plat Tinggi Awal (y) Tinggi Akhir (YL) Sudut Ukur
1/4 L1 y1 YL1
1/2 L2 y2 YL2
3/4 L3 y2 YL3
Beban 2 Titik
Pembebanan Panjang Plat Tinggi Awal (y) Tinggi Akhir (YL) Sudut Ukur
1/4 L1 y1 YL1
1/2 L2 y2 YL2
3/4 L3 y2 YL3
PERHITUNGAN DEFLEKSI DENGAN METODE LUAS MOMEN
➢ P1
M1 =
L =
b =
h =
E =
I = 1
12𝑏ℎ3
=
=
L1 (1/4) = L2 (1/2) = L3 (3/4) = Sudut = Sudut =
Sudut =
y1 = y2 = y3 =
YL1 =
YL2 =
YL3 =
ŷ0 = 𝑦1+𝑦2+𝑦3
3
=
yl1 = (ŷ0 – YL1) = yl2 = (ŷ0 – YL2) = yl3 = (ŷ0 – YL3) =
P1 = m * g
=
A. L1 =
L =
P1 =
ƩM0 = 0 (P1 * L1) – (Rb * L) = 0 Rb = …
ƩF = P1
Ra + Rb = P1
Ra =…
B. L2 =
L =
P1 =
ƩM0 = 0 (P1* L2) – (Rb * L) = 0 Rb =
ƩF = P1
Ra + Rb = P1
Ra =
C. L3 =
L =
P1 =
ƩM0 = 0 (P1 * L3 )– (Rb * L) = 0 Rb =
ƩF = P1
Ra + Rb = P1
Ra =
➢ P2
M2 =
L =
b =
h =
E = 200 GPa = 200 x 109 N/m2
I = 1
12𝑏ℎ3
=
= L1 (1/4) = L2 (1/2) = L3 (3/4) = Sudut = Sudut =
Sudut =
y1 = y2 = y3 =
YL1 =
YL2 =
YL3 =
ŷ0 = 𝑦1+𝑦2+𝑦3
3
=
yl1 = (ŷ0 – YL1) = yl2 = (ŷ0 – YL2) = yl3 = (ŷ0 – YL3) =
P2 = m * g
=
A. L1 =
L =
P2 =
ƩM0 = 0 ( P2 * L1 ) – (Rb * L) = 0 Rb =
ƩF = P2
Ra + Rb = P2
Ra =
B. L2 =
L =
P2 =
ƩM0 = 0 (P2* L2) – (Rb * L) = 0 Rb =
ƩF = P2
Ra + Rb = P2
Ra =
C. L3 =
L =
P2 =
ƩM0 = 0 ( P2 * L3) – (Rb * L) = 0 Rb =
ƩF = P2
Ra + Rb = P2
Ra =
⮚ ANALITIK A. M1 =
P1 =
● L1 (1/4) M = 𝑃𝑎𝑏
𝐿
=
=
A1 = 𝑃𝑎𝑏
2𝐸𝐼
=
= X = 𝐿+𝑎
3
= =
tB / A = A1 * X
=
= θA = 𝑡𝐵/𝐴
𝐿
=
=
DD1 = a * θA
=
=
Menghitung δ max (δD) X = 𝑎
3
=
= A2 = 𝑃𝑎2𝑏
2𝐸𝐼𝐿
=
=
tD / A = A2 * X
=
=
δD = DD1 – tD / A
=
=
● L2 (1/2) M = 𝑃𝑎𝑏
𝐿
=
=
A1 = 𝑃𝑎𝑏
2𝐸𝐼
= =
X = 𝐿
2
= =
tB / A = A1 * X
=
=
θA = 𝑡𝐵/𝐴
𝐿
=
=
DD1 = a * θA
=
=
Menghitung δ max (δD) X = 𝑎
3
=
=
A2 = 𝑃𝑎2𝑏
2𝐸𝐼𝐿
=
=
tD / A = A2 * X
=
=
δD = DD1 – tD / A
=
=
● L3 (3/4) M = 𝑃𝑎𝑏
𝐿
=
= A1 = 𝑃𝑎𝑏
2𝐸𝐼
=
=
X = 𝐿+𝑏
3
=
=
tB / A = A1 * X
=
=
θA = 𝑡𝐵/𝐴
𝐿
=
=
DD1 = a * θA
=
=
Menghitung δ max (δD) X = 𝑎
3
=
=
A2 = 𝑃𝑎2𝑏
2𝐸𝐼𝐿
=
=
tD / A = A2 * X
=
=
δD = DD1 – tD / A
=
=
B. M2 = P2 =
● L1 (1/4) M = 𝑃𝑎𝑏
𝐿
=
=
A1 = 𝑃𝑎𝑏
2𝐸𝐼
=
=
X = 𝐿+𝑎
3
=
=
tB / A = A1 * X
=
=
θA = 𝑡𝐵/𝐴
𝐿
=
=
DD1 = a * θA
=
=
Menghitung δ max (δD) X = 𝑎
3
=
=
A2 = 𝑃𝑎2𝑏
2𝐸𝐼𝐿
=
=
tD / A = A2 * X
=
=
δD = DD1 – tD / A
=
=
● L2 (1/2) M = 𝑃𝑎𝑏
𝐿
=
=
A1 = 𝑃𝑎𝑏
2𝐸𝐼
=
=
X = 𝐿
2
=
=
tB / A = A1 * X
=
=
θA = 𝑡𝐵/𝐴
𝐿
=
=
DD1 = a * θA
=
=
Menghitung δ max (δD) X = 𝑎
3
=
=
A2 = 𝑃𝑎2𝑏
2𝐸𝐼𝐿
=
=
tD / A = A2 * X
=
=
δD = DD1 – tD / A
=
=
● L3 (3/4) M = 𝑃𝑎𝑏
𝐿
=
=
A1 = 𝑃𝑎𝑏
2𝐸𝐼
=
=
X = 𝐿+𝑏
3
= =
tB / A = A1 * X
=
=
θA = 𝑡𝐵/𝐴
𝐿
=
=
DD1 = a * θA
= =
Menghitung δ max (δD) X = 𝑎
3
=
=
A2 = 𝑃𝑎2𝑏
2𝐸𝐼𝐿
=
=
tD / A = A2 * X
=
=
δD = DD1 – tD / A
=
=
1. Free Body Diagram
2. Momen Lentur Diagram
3. Grafik Defleksi dengan Beban
4. Grafik Defleksi dengan Jarak
5. Grafik Defleksi dengan Suhu
