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> Study Programs > Undergraduate Program in Mechanical Engineering > Concentration in Materials and Structures Construction

Undergraduate Program in Mechanical Engineering

Concentration in Materials and Structures Construction

Undergraduate Program in Mechanical Engineering Faculty of Engineering Universitas Sumatera Utara J17 Building, Jl. Almamater, USU Padang Bulan Campus
TEM8518

OPTIMIZATION IN DESIGN

3 Credit Hours
Mandatory Course
7th Semester

Study Program

Undergraduate in Mechanical Engineering

Faculty

Engineering

Main Lecture Material

Garret N Vanderplaats: Numerical Optimization Techniques for Engineering Design With Applications, McGraw-Hill Book Co., 1984
Singiresu S. Rao: Engineering Optimization: Theory and Practice, Wiley-Interscience Publication, 1996.
Uri Kirsch: Optimum Structural Design: Concepts, Methods and Applications, McGraw-Hill Book Co., 1992

Supporting Material

Course's Coordinator

Supervisor

Lecture Load in Hour per Week

On site Class (face-to-face) : 3 Hours

Responsive Class : 4 Hours

Self Study : 5 Hours

Course Description

This course explains the concept of optimization. General formulation of optimization problems. Iterative procedures in solving optimization. Kuhn-Tucker conditions on optimal conditions. Infinite optimization of a function with one variable, including several methods of solving it. Optimization based on a function with one variable. Infinite optimization of a function with many variables. Optimization is a function with many variables: Linear programming. Indirect methods: SUMT method and ALM method. Direct methods in optimization with many variables. Structure optimization.

General Instructional Objectives

After completing this course (at the end of the semester), students are expected to understand the concept of optimization to optimize a process.

Week Topic Performance Indicator Assignments
1 Optimization Concept Able to understand the concept of optimization
2 General Formulation of Optimization Problems Able to understand about the general formulation of optimization problems
3–4 Iterative Procedure in Optimization Solving and Optimum Point
  • Iterative procedures in optimization breakdown and Kuhn-Tucker conditions on optimum point, optimum point
 Able to understand about iterative procedures in solving optimization and optimum point
5–6 Good and bad optimization of a function with one variable
  • Infinite optimization of a function with one variable, including some methods of solving and optimizing functions with one variable
 Able to understand about function optimization with one variable
7 Optimasi tanpa batas dari suatu fungsi dengan dengan banyak variabel
  • Infinite optimization of a function with many variables, including some methods to solve it
 Able to understand function optimization with many variables
7–10 Optimization of a function with many variables
  • Linear programming
  • Indirect methods: SUMT method and ALM method
  • Direct methods in optimization with many variables
  • Structure optimization
 Able to understand function optimization with many variables
11–14 Assignments
  • Assignments and Discussion
 Able to work on process optimization
IABEE Learning Outcome Levels ABET Learning Outcome Levels
ILO Description Description Levels
0,2 [3] Able to design and engineer machine construction by applying the theory and principles of mechanical engineering correctly as well as designing standard procedures for machine operation and designing production machine maintenance; [3] Able to design machine construction by applying mechanical engineering principles and designing standard operating procedures for machine planning and maintenance; T, A, S
0,2 [4] Able to design an engineering process by applying the principles of mechanical system design from various industrial applications by taking into account elements of safety, reliability, comfort and economic, socio-cultural and environmental factors. [4] Able to design an engineering process by applying the principles of mechanical system design from various industrial applications by taking into account elements of safety, reliability, comfort and economic, socio-cultural and environmental factors. T, S, E
0,1 [6] Able to select resources and utilize ICT and computation-based design and analysis tools to carry out mechanical engineering activities. [6] Able to select resources and utilize computational design and analysis tools for mechanical engineering activities. T, A, S
0,2 [7] Able to work together in teams and provide solutions to problems across engineering fields by taking into account economic, public health and safety, ethical, and environmental factors. [7] Able to provide solutions across engineering fields by taking into account economic factors, public health and safety, ethics and environmental considerations. T, A, S
0,2 [9] Able to identify, formulate and analyze engineering problems in accordance with the scientific field of mechanical engineering through research. [9] Able to identify, formulate and analyze engineering problems in accordance with the field of mechanical engineering through research. A, S, E
0,1 [10] Able to apply mechanical engineering science and conduct research under guidance using scientific methods and produce scientific work, which involves a lifelong learning process of relevant contemporary knowledge. [10] Able to apply mechanical engineering science and conduct research under guidance using scientific methods and produce scientific work, which involves a lifelong learning process of relevant contemporary knowledge. K, P, T, A
  • K – Knowledge
  • P – Comprehension
  • T – Application
  • A – Analysis
  • S – Synthetic
  • E – Evaluation
TEM8514

ELASTICITY THEORY

3 Credit Hours
Mandatory Course
Semester 7

Study Program

Undergraduate in Mechanical Engineering

Faculty

Engineering

Main Lecture Material

Timosenkho, S., P. and Goodier, J., N.,Theory of Elasticity, McGraw-Hill, 1970
Dieter, G., E., Mechanical Metallurgy, McGraw-Hill, Singapore, 1986.
Slater, R., A. C., Engineering Plasticity-Theory and Application to Metal Forming Process,City Univercity Press, London, 1977

Supporting Material

Course’s Coordinator

Supervisor

Lecture Load in Hour per Week

On site Class (face-to-face) : 3 Hours

Responsive Class : 4 Hours

Self Study : 5 Hours

Course Description

This course explains the basic concepts of elasticity theory whose analysis starts from 2-dimensional and 3-dimensional problems. The scope of this course includes: Review of the concepts of uniaxial strain stress, torque, and Hooke's law, point equilibrium differential equations, 3-dimensional strain analysis, 3-dimensional stress analysis, yield criteria in springy metals, stress strain relationships.

General Instructional Objectives

After completing this course (at the end of the semester) it is expected that students will better understand the basic problems of elasticity problems in construction elements and machines subjected to structural loads based on stresses and strains affected by a combination of electrical loads, torques, and stresses.

Week Topic Performance Indicator Assignments
1 Concept of uniaxial stress, shear and free strain.
  • Introduction, normal stress and strain, stress and strain diagram.
  • Elasticity and plasticity, Hooke's law, shear stress, free stress strain and free load.
 Review the basic concepts of uniaxial and shear stress and strain under linear elastic conditions following Hooke's law as an introduction to the next lecture.
2 Specification of stress at a point and differential equations
  • Internal forces, contact forces and body forces, stress at a point, stress components.
  • Force equilibrium, moment equilibrium.
 Able to analyze 2-dimensional and 3-dimensional stress at a point.
3 3-D stress analysis
  • Resultant stress on inclined plane in Cartesian coordinates, normal stress and shear stress on inclined plane, tensor stress, principal stress, invariant stress.
 Able to analyze 2-dimensional and 3-dimensional stress at a point
4 3-D stress analysis
  • Principal shear stress, octahedral stress, equivalent stress, example problems.
Able to analyze 2-dimensional and 3-dimensional stress at a point.
5 3-D stress analysis
  • 2-D and 1-D overview, deviator and spherical stresses, deviator and spherical stress tensors, stress invariants expressed in deviator stresses.
 Able to analyze 2-dimensional and 3-dimensional stress at a point.
6 Very small deformations
  • Very small strain at a point, engineering shear stress, rotation
 Able to analyze 2-dimensional and 3-dimensional stress at a point.
7 Very small deformation
  • Very small strain at a point, finite strain coefficient, stress tensor, principal strain.
 Able to analyze 2-dimensional and 3-dimensional stress at a point.
8 Very small deformation
  • Principal shear strain, octavian strain, equivalent strain, deviator stress and species
 Able to analyze 2-dimensional and 3-dimensional stress at a point.
9 Yield criteria in springy metals
  • General considerations, Von Mises yield criteria, Tresca yield criteria, yield surfaces
 Understand the concept of yield criteria in resilient metals according to Von Mises and Tresca.
10 Yield criteria in springy metals
  • Representation of Von Mises and Tresca yield criteria in π, experimental substance of yield criteria, example problems.
 Understand the concept of yield criteria in resilient metals according to Von Mises and Tresca.
11 Stress and strain relationship
  • Elasticity stress and strain relationship, elastic strain energy function
 Able to analyze 3-D and 2-D stress and strain relationships under elasticity limit conditions.
12 Application to the case of thick-walled cylinders.
  • 2-D static equilibrium, stress strain relationship, plane stress and strain, formation of differential equations, solving differential equations
Able to analyze 3-D and 2-D stress and strain relationships under elasticity limit conditions.
13 Application in cases subjected to combination loads
  • Flexural, torsional and axial combinations, stress concentrations, principal stresses, equivalent stresses and free stresses
 Able to analyze 3-D and 2-D stress and strain relationships under elasticity limit conditions
IABEE Learning Outcome Levels ABET Learning Outcome Levels
ILO Description Description Levels
0,2 [3] Able to design and engineer machine construction by applying the theory and principles of mechanical engineering correctly as well as designing standard procedures for machine operation and designing production machine maintenance; [3] Able to design machine construction by applying mechanical engineering principles and designing standard operating procedures for machine planning and maintenance; T, A, S
0,2 [4] Able to design an engineering process by applying the principles of mechanical system design from various industrial applications by taking into account elements of safety, reliability, comfort and economic, socio-cultural and environmental factors. [4] Able to design an engineering process by applying the principles of mechanical system design from various industrial applications by taking into account elements of safety, reliability, comfort and economic, socio-cultural and environmental factors. T, S, E
0,1 [6] Able to select resources and utilize ICT and computation-based design and analysis tools to carry out mechanical engineering activities. [6] Able to select resources and utilize computational design and analysis tools for mechanical engineering activities. T, A, S
0,2 [7] Able to work together in teams and provide solutions to problems across engineering fields by taking into account economic, public health and safety, ethical, and environmental factors. [7] Able to provide solutions across engineering fields by taking into account economic factors, public health and safety, ethics and environmental considerations. T, A, S
0,2 [9] Able to identify, formulate and analyze engineering problems in accordance with the scientific field of mechanical engineering through research. [9] Able to identify, formulate and analyze engineering problems in accordance with the field of mechanical engineering through research. A, S, E
0,1 [10] Able to apply mechanical engineering science and conduct research under guidance using scientific methods and produce scientific work, which involves a lifelong learning process of relevant contemporary knowledge. [10] Able to apply mechanical engineering science and conduct research under guidance using scientific methods and produce scientific work, which involves a lifelong learning process of relevant contemporary knowledge. K, P, T, A
  • K – Knowledge
  • P – Comprehension
  • T – Application
  • A – Analysis
  • S – Synthetic
  • E – Evaluation