Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

Associate Prof. Dr. Fuat OKAY

Learning Outcomes of the Course Unit
Program Competencies-Learning Outcomes Relation

Learning Outcomes of the Course Unit

1) Determine the elastic curve by method of integration, have an idea about boundary conditions, comprehend slope and deflection problems
2) Derive singularity functions for different types of loading conditions, use method of superposition, analyze statically indeterminate beams
3) Determine slope and deflection of beams by using Moment-Area method
4) Determine slope and deflection of beams by conjugate beam method
5) Comprehend energy methods, use work and energy equations under the effect of single load
6) Derive Castigliano theorems, determine slope and deflection of beams by using Castigliano theorems
7) Determine slope and deflection of frames and arches by using Castigliano theorems.
8) Analyze statically indeterminate beams, frames and arches by using Castigliano theorems

Program Competencies-Learning Outcomes Relation

Program Competencies

Learning Outcomes

High

No relation

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

None

Course Contents

This course covers the definition of terminology on slope and deflections of beams and necessity of determining slope and deflections of beams, slope and deflection of beams using integration methods, singularity functions, slope and deflection of beams using moment-area methods, slope and deflection of beams using conjugate-beam methods, energy methods, adaptation of conservation of energy principle to deformations, Castigliano's theorems and the application of these theorems to the computation of deformations in different structural systems, Arch problems, Betti's Theorem.

Weekly Schedule

1) Deflection of beams by method of integration,
2) Equation of elastic curve, boundary conditions
3) Slope and deflection calculations by using singularity functions
4) Method of superposition, statically indeterminate beams
5) Deflection and rotation of beams by Moment-Area theorems, Moment-Area theorems
6) Cantilever beams and beams with symmetric loadings, application of Moment-Area theorems to beams with unsymmetrical loading
7) Introduction to conjugate beam method
8) Midterm examination/Assessment
9) Computations of deflection and rotation by conjugate beam method
10) Energy methods, strain energy, strain energy density
11) Work and energy under a single load, work and energy under several loads
12) Castigliano's Theorem and its application to beams and trusses
13) Fictitious loads, determination of support reactions in statically indeterminate problems
14) Computation of slope and deflection in statically indeterminate systems
15) Determination of deformations of frames by Castigliano's Theorem, arch problems, Betti's Theorem.
16) Final examination

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Lab / Workshop
4) Self Study
5) Problem Solving

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	20%
Contribution of Final Examination to Course Grade	80%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required

Course Unit Title	Course Unit Code	Type of Course Unit	Level of Course Unit	Year of Study	Semester	ECTS Credits
Mechanics of Materials II	INS303	Elective	Bachelor's degree	3	Fall	4