ADANA BTÜ
DERS KATALOG FORMU
(COURSE CATALOGUE FORM)
Dersin Adı
Mühendislik Mekaniği-Statik
Kodu
Yarıyılı
Kredisi
(Code)
(Semester)
(Local
Credits)
CE-102
2
Bolum/Program
(Department/Program)
Dersin Türü
(Course Type)
Dersin Önkoşulları
(Course Prerequisites)
Dersin Mesleki Bileşene
Katkısı, %
(Course Category by
Content, %)
Course Name
Engineering Mechanics – Statics
AKTS Kredisi
Ders Uygulaması, Saat/Hafta
(ECTS Credits)
(Course Implementation, Hours/Week)
Ders
Uygulama
Laboratuar
(Theoretical)
(Tutorial)
(Laboratory)
3
7
3
0
0
İnşaat Mühendisliği Bölümü
(Civil Engineering Department)
Zorunlu (Compulsory)
Dersin Dili
İngilizce
(Course Language)
(English)
Yok/None
Temel Bilim
(Basic Science)
Temel Mühendislik
(Engineering
Science)
Mühendislik
Tasarım
(Engineering
Design)
İnsan ve Toplum
Bilim (General
Education)
%100
Dersin İçeriği
(Course Description)
Dersin Amacı
(Course Objectives)
Statiğin ilkeleri, kuvvet vektörü, parçacığın dengesi, kuvvet çifti, rijit cismin
dengesi, düzlemde kuvvetler, yayılı yükler, bağlar ve bağ kuvvetleri,kafes
sistemler, Gerber kirişleri, iç kuvvetler, hidrostatik kuvvetler, kablolar,
eylemsizlik momenti, ağırlık merkezi ve Pappus-Guldinus teoremleri, sürtünme
Principle of statics, force vector, equilibrium of particle, moment of a couple,
equilibrium of rigid body, planar forces, distributed loads, supports and support
reactions, Gerber Beams, internal forces, hydrostatic forces, cables, moment of
inertia, centroids and Theorem of Pappus-Guldinus, friction.
1. Kuvvet ve moment vektörünün tanımı ve bunun için gerekli olan vektör
cebri
2. Parçacığın ve rijit cismin dengesi (düzlemde ve uzayda)
3. Bağlar ve bağ kuvvetleri
4. Taşıyıcı sistemlerin dengesi ve iç kuvvetler (kafesler, çerçeveler,
kablolar)
1.
2.
3.
4.
Definition of force and moment vectors and necessary vector algebra
Equilibrium of particle and rigid body (plane and space)
Supports and support reactions
Equilibrium of structures, internal foces (trusses, frames, cables)
Dersin Öğrenme Çıktıları
(Course Learning
Outcomes)
Ders Kitabı
(Textbook)
Diğer Kaynaklar
(Other References)
Ödevler ve Projeler
(Homework & Projects)
Başarı Değerlendirme
Sistemi
(Assesment Criteria)
Bu dersi başarıyla geçen öğrenciler:
1. Vektör cebri (skaler ve vektörel çarpım, toplama ve çıkarma), kuvvet ve
moment tanımı
2. Parçacığın ve rijit cismin dengesi
3. Bağlar ve bağ kuvvetleri
4. Statikçe belirli taşıyıcı sistemlerin statik dengesi (Gerber kirişleri,
kafesler, çerçeveler, kablolar) Kesit tesir diyagramları
5. Yayılı yükler ve hidrostatik kuvvetler
6. Eylemsizlik momenti
Student, who passed the course satisfactorily can:
1. Vector algebra (scalar and vectoral product, addition and subtraction),
definition of force and moment
2. Equilibrium of particle and rigid body
3. Support and support reactions
4. Equilibrium of statically determinate structures (Gerber beams, trusses,
frames, cables) Shear and bending moment diagrams
5. Distributed loads and hydrostatic forces
6. Moment of Inertia
Hibbeler, R.C., Yap B.K., Mechanics for Engineers-STATICS 13rd
SI Edition, Pearson, ISBN 978-981-06-9260-5
1. Meriam, J.L., Kraige L.G., 2008, Engineering Mechanics-Statics 6th
Edition, John Wiley & Sons
2. Beer, F.P., Johnston, E.R., Eisenberg, E.R., 2007, Vector Mechanics for
Engineers – Statics, McGraw-Hill
3. Omurtag, M.H., 2012, Mühendisler için Mekanik-STATİK, Birsen
Yayınevi
4. Omurtag, M.H., 2013, Mühendisler için Mekanik-STATİK Çözümlü
Problemler, Birsen Yayınevi
5. Öğretim Üyesinin Ders Notları (Lecture Notes)
http://civeng.adanabtu.edu.tr/tr/detay.aspx?pageId=10050
12 Uygulama (Sınıfta yapılacak)
12 Recitations (will be held in class)
Faaliyetler
Adedi – En az
Değerlendirme Katkısı %
(Activities)
(Quantity – Minimum) (Effects on Grading %)
1
%40
Yıliçi Sınavları
(Midterm Exams)
3
%10
Quiz
1
%50
Final Sınavı
(Final Exam)
COURSE PLAN
Week
Topics
1
Principles of Statics, Vectors, Rectangular Components of a Vector, Force
Vector Directed Along a Line, Dot Product (Scalar Product)
Equilibrium of a Particle, The Free Body Diagram and Co-Planar Force Systems,
2
Three Dimensional Force Systems
Moment of a Force (Scalar Formulation), Cross Product, Moment of a Force
3
(Vector Formulation) and Principle of Moments, Moment About an Axis (Scalar
and Vectoral Formulation)
Moment of a Couple, Simplification of Force and Couple Systems and Further
4
Simplification
Reduction of a Simple Distributed Loading, Equilibrium of a Rigid Body and
5
Free Body Diagrams
Equations of Equilibrium and Two Force Members, Simple Trusses, The Method
6
of Joints and Zero Force Members
The Method of Sections of Trusses
7
MIDTERM WEEK
8
Beams, Gerber Beams and Internal Effects
9
Hydrostatics
10
Cables
11
Centroids, Theorems of Pappus-Guldinus
12
Moment of Inertia
13
Friction
14
Chapters
1
2,3
4,5
6,7
8,9
10,11
12
14
15
16
17
18
19
ENGINEERING MECHANICS – STATICS
RECITATION I
The tower is held in place by three cables. If the force of each cable acting on the tower is
shown, determine the magnitude and coordinate direction angles α, β, γ of the resultant force.
Take x = 20 m, y = 15 m.
ENGINEERING MECHANICS – STATICS
RECITATION 2
The cables each exert a force of 400 N on the post.
a) Determine the angle θ between the two cables attached to the post.
b) Determine the magnitude of the projected component of along the line of action of
.
ENGINEERING MECHANICS – STATICS
RECITATION 3
If cable AB is subjected to a tension of 700 N, determine the tension in cables AC and AD and
the magnitude of the vertical force F.
ENGINEERING MECHANICS – STATICS
RECITATION 3’
The 30-kg pipe is supported at A by a system of five cords. Determine the force in each cord
for equilibrium.
ENGINEERING MECHANICS – STATICS
RECITATION 4
1-) Determine the moment of force F about point O. Express the result as a Cartesian vector.
2-) Determine the moment of the force F about an axis extending between A and C. Express
the result as a Cartesian vector.
ENGINEERING MECHANICS – STATICS
RECITATION 5
1-)
a) Two couples act on the cantilever beam. If F = 6 kN, determine the resultant couple moment.
b) Determine the required magnitude of force F, if the resultant couple moment on the beam
is to be zero.
2-) Replace the force system acting on the frame by a resultant force and couple moment at
point A.
ENGINEERING MECHANICS – STATICS
RECITATION 6
1-) The building slab is subjected to four parallel column loadings. Determine the equivalent
resultant force and specify its location (x,y) on the slab. Take F
30kN, F 40kN.
2-)
If the soil exerts a trapezoidal distribution of load on the bottom of the footing, determine the
intensities w
and w of this distribution needed to support the column loadings.
ENGINEERING MECHANICS – STATICS
RECITATION 7
The jib crane is supported by a pin at C and rod AB. The rod can withstand a maximum tension
of 40 kN. If the load has a mass of 2000 kg, with its center of mass located at G, determine its
maximum allowable distance x and the corresponding horizontal and vertical components of
reaction at C. (g=9.81 m/s )
ENGINEERING MECHANICS – STATICS
RECITATION 8
1-)
Determine the base reactions at points A and G and the forces in each member of the truss
shown above by using the method of joints. State if the members are in tension or
compression. Set P
= 10 kN, P = 15 kN.
2-)
Determine the force in members KJ, KD and CD of the Pratt truss shown above by the method
of sections. State if the members are in tension or compression.
ENGINEERING MECHANICS – STATICS
RECITATION 9
The Gerber beam is fixed supported at A and supported by roller supports at B and C. If there
are hinges at D and E, determine the reactions at the supports A, B and C.
ENGINEERING MECHANICS – STATICS
RECITATION 10
1-) Determine the internal normal force, shear force and moment at points E and F in the Gerber
beam, shown above. Point F is located just to the left of the 15 kN force and 25 kNm couple
moment.
2-)
Draw the shear and moment diagrams for the Gerber beam shown in the above figure. Assume
the supports at A and C are rollers and B and E are pin connections.
ENGINEERING MECHANICS – STATICS
RECITATION 11
When the tide water (gelgit) A subsides (çökelme), the side gate automatically swings open to
drain the marsh B. For the condition of high tide shown, determine the horizontal reactions
developed at the hinge C and stop block D. The length of the gate is 6 m and its height is 4 m.
1000 .
ENGINEERING MECHANICS – STATICS
RECITATION 12
Determine the maximum tension developed in the cable if it is subjected to a uniform load of
600 N/m.
ENGINEERING MECHANICS – STATICS
RECITATION 13
1-)
Locate the centroid !" of the area shown in the above figure.
2-)
The gravity wall is made of concrete. Determine the location (x", y") of the center of gravity G
for the wall.
ENGINEERING MECHANICS – STATICS
RECITATION 14
1-)
a) The water tank AB shown above, has a hemispherical top and is fabricated from thin
steel plate. Determine the volume within tank using Pappus-Guldinus theorem.
b) If a liter of paint can cover 3 m of the tank’s surface, determine how many liters are
required to coat the surface of the tank from A to B, using Pappus-Guldinus theorem.
Hints:
Centroid of Quarter
Arc
2-)
Centroid of Quarter Circle
Area
Locate the centroid !" of the beam’s cross-sectional area shown below.