2. KONTRAK KULIAH / COURSE CONTRACT
• Nilai kelulusan mahasiswa minimal C / The minimum student passing score is C
• Perbaikan nilai hanya untuk mahasiswa dengan nilai D dan E dengan nilai
maksimum setelah perbaikan maksimal C / Improvement in grades is only for
students with D and E grades with a maximum grade after a maximum
improvement of C
• Perbaikan nilai hanya berlaku bagi mahasiswa dengan kehadiran minimal 60% /
Improved grades only apply to students with a minimum attendance of 60%
• Mahasiswa yang mengumpulkan tugas, UTS dan UAS dengan jawaban yang sama
akan mendapatkan nilai 0 / Students who submit assignments, UTS and UAS with
the same answers will get a value of 0
3. PENILAIAN / GRADES
Indikator Bobot
Kehadiran 10
Quiz 15
Tugas 15
UTS 30
UAS 30
Grade Bobot Rentang Nilai
A 4 85 – 100
B 3 73,00 – 84,99
C 2 55 – 72,99
D 1 45 – 54,99
E 0 0 – 44,99
4. REFERENSI
• Russel C. Hibbeler, Engineering Mechanics: Statics, 12th edition, Prentice Hall
• Russel C. Hibbeler, Mechanics of Materials, 8th edition, Prentice Hall
• F. P. Beer and E. R. Johnston Jr., Vector Mechanics for Engineers: Statics, SI Metric
Edition, 9th Edition, McGraw-Hill,
• F. P. Beer and E. R. Johnston Jr., Mechanics of Materials, 6th Edition, McGraw-Hill
• Bit.ly/BukumektekUNsP
5. MATERI PEMBELAJARAN / LEARNING MATERIALS
• Vektor / Vectors
• Keseimbangan Partikel / Equilibrium
of a Particle
• Keseimbangan Benda Tegar /
Equilibrium of a Rigid Body
• Analisis Struktur / Structural Analysis
• Gaya Internal / Internal Forces
• Tegangan dan Regangan / Stress and
Strain
• Sifat Mekanik dan Pengujian Material
/ Mechanical Properties and Material
Testing
• Beban Aksial / Axial load
• Beban Torsi / Tortion Load
• Beban Bending / Flexural Load
• Beban kombinasi / Combination Load
6. SATUAN AWALAN / UNITS OF PREFIX
• Satuan awalan adalah penentu yang
ditambahkan ke unit pengukuran
untuk menunjukkan kelipatan atau
pecahan dari unit.
• A unit prefix is a specifier that is
prepended to units of measurement
to indicate multiples or fractions of
the units.
7. PRINCIPAL SI UNITS
USED IN MECHANICS
Satuan internasional yang biasa digunakan
dalam dunia mekanik
International units commonly used in
mechanics
10. APA ITU VEKTOR?
WHAT THE MEANING OF VECTOR?
Is the speed the
same?
Or velocity?
Vector is a physical quantity that has both magnitude and direction.
11. VECTOR DRAWING AND WRITING
• Sebuah vektor terdiri titik pangkal, titik ujung
dan panjang anak panah. Panah menyatakan
nilai vektor dan arah panah menunjukkan arah
vektor
• A vector consists of start points, end points
and arrow lengths. The arrow represents the
vector value and the direction of the arrow
indicates the direction of the vector
• Titik A: Titik Pangkal/ Start points
• Titik B: Titik Ujung / end points
• Panjang AB: Nilai Vektor / Value of vector= |AB|
A B
• Ada dua cara menotasikan vektor /
There are two ways of notating
vectors
1. Menambahkan tanda anak panah
diatas huruf vektor / Add arrows
above the vector letters
2. Menebalkan huruf vektor / Bold
vector font
𝑎 = 𝐴 = 𝐴𝐵 a = A = AB
12. MACAM-MACAM VEKTOR / TYPE OF VECTORS
Sejajar /
Parallel
Berlawan /
Opposite 𝑎 𝑏 𝑐 𝑑
which one is
the
opposite?
which one is
the Parallel?
13. ADDITION AND SUBTRACTION VECTORS
Parallelogram
Method
Triangle
Method
Poligon
Method
Summing
Componen X
and Y Method
14. METODE JAJAR GENJANG / PARALELLOGRAM
METHOD
• Adapun Langkah-langkah penjumlahan menggunakan metode jajaran genjang
adalah / The summation steps using the parallelogram method are:
1. Gambarkan kedua vektor dengan titik pangkal berimpit seperti Gambar 1.3
bagian a / Draw the two vectors with the starting points coincided like Figure
1.3 part a
2. Gambarkan garis bantu pada kedua vektor hingga kedua titik berimpit dan
membentuk jajaran genjang seperti Gambar 1.3 bagian b / Draw auxiliary lines
on both vectors until both points are implicated and form parallelograms like
Figure 1.3 part b
3. Gambarkan garis diagonal yang menghubungkan kedua titik yang berimpit
seperti pada Gambar 1.3 bagian c. Garis tersebut merupakan resultan dari
kedua vektor. Adapun untuk menghitung besaran resultan vektor adalah
sebagai berikut: Draw a diagonal line connecting the two embossed points as
in Figure 1.3 part c. The line is the resultant of both vectors. As for calculating
the resultant magnitude of the vector is as follows:
𝑹 = 𝑹 = 𝑨𝟐 + 𝑩𝟐 + 𝟐𝑨𝑩 𝒄𝒐𝒔𝜽
(a) (b)
(c)
15. METODE SEGITIGA / TRIANGLE METHOD
• The summation steps using the
triangle method are:
1. Gambarkan vektor A dan Vektor B / Draw
vector A and Vector B
2. Letakkan pangkal vektor B pada ujung
vektor A seperti Gambar b) / Put the base
of vector B on the end of vector A as
Figure b)
3. Atau letakkan pangkal vektor A pada ujung
vektor B seperti Gambar c) / Or put the
base of vector A at the end of vector B like
Figure c),
As for calculating the resultant is to use the
triangular cos equation:
(a) (b)
(c)
16. METODE POLIGON / POLYGON METHOD
• Sama seperti metode segitiga, hanya saja digunakan untuk menjumlahkan lebih
dari dua vektor. / Same as the triangle method, only used to add more than two
vectors.
• Contoh jumlahkan vektor A,B, dan C dengan metode polygon / Example of
adding vectors A, B, and C using the polygon method
• Answer
• Resultan ketiga vektor R adalah R = A + B + C /The Resultan Vector R is R = A +
B + C
17. PERPENDICULAR METHOD
• At Perpendicular Method, each vector is made perpendicular to each other. Then each
axis will be added if the directions are parallel and will be subtracted if the direction
are opposite. For Exampel at below figure:
• If there is a force A, then the force is made
perpendicular to the Y and X axes
• X Axis : Ax = A cosθ
• Y Axis: AY = A sinθ
• So to determined resultas vector is:
• 𝑹 = 𝑹𝒙
𝟐
+ 𝑹𝒀
𝟐
X
Y
A
AX
AY
θ
18. METODE URAIAN
• Pada metode uraian, setiap vektor diuraikan pada sumbu X dan sumbu Y. kemudian di
setiap sumbu akan dijumlahkan bagi yang searah dan akan dikurangkan bagi yang
berlawanan. Contoh
• Maka jika ada gaya A, kemudian diuraikan ke
sumbu Y dan sumbu X
• Sumbu X: Ax = A cosθ
• Sumbu Y: AY = A sinθ
• Maka besar Vektor R:
• 𝑹 = 𝑹𝒙
𝟐
+ 𝑹𝒀
𝟐
X
Y
A
AX
AY
θ
19. CONTOH SOAL / PROBLEM EXAMPLE
• The Question:
• Determined the Magnitude and the
direction of the resultant force?
21. JAWAB (2)
• Kemudian untuk menentukan sudutnya dapat menggunakan
persamaan sin / Then to determine the angle can use the sin
equation. As in the equation below:
•
𝑎
sin 𝐴
=
𝑏
sin 𝐵
=
𝑐
sin 𝐶
•
150
sin θ
=
212,6
sin 115
• sin θ =
150
212,6
(sin 115)
• Θ = 39,8o
• Sehingga untuk sudutnya adalah / So the angle is
• ∅ = 39,8 + 15 =54,8o
