# Portland Community College | Portland, Oregon

### CCOG for ENGR 213 Fall 2023

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Course Number:
ENGR 213
Course Title:
Strength of Materials
Credit Hours:
4
Lecture Hours:
30
Lecture/Lab Hours:
20
Lab Hours:
0

#### Course Description

Relationships between stress and strain in deformable solids is studied. Analysis is applied to axially-loaded members, circular shafts, beams and columns. Combined stresses, statically indeterminate systems and properties of structural materials are included. Prerequisites: ENGR 211. Audit available.

#### Intended Outcomes for the course

Upon successful completion of this course, the student will have satisfactorily accomplished the goals and objectives listed in this course content guide.  Course content guides are developed by collegewide Subject Area Curriculum Committees and approved by management.

#### Course Activities and Design

Emphasis is on problem-solving using the three basic tools of mechanics, namely:
a.  the equilibrium relationship
b.  the geometric compatibility relationship
c.  the force-displacement relationship
Principles and techniques are presented through lectures and demonstrations.  Students develop problem-solving skills during working sessions under the guidance of instructor.  Problems are assigned on a weekly basis for practice.  Practical applications are made throughout the course by introducing many typical engineering design problems involving beams, shafts, columns and pressure vessels.

#### Outcome Assessment Strategies

Student progress is measured by performance on homework and on examinations covering appropriate types of problems. Details will be provided by the instructor at the initial class meeting.

#### Course Content (Themes, Concepts, Issues and Skills)

1.0  ANALYSIS OF STRESS AND STRAIN
Instructional Goal:
To understand the concepts of stress and strain and their use in the
analysis of structures.
Objectives:
1.1.0 Define stress and strain at a point under uniaxial and
1.2.0 Apply these concepts in the solution of problems involving
simple structures.
1.3.0 Compare the mechanical properties of a ductile  material
such as steel with those of a brittle material such as
concrete, emphasizing design implications.
1.4.0 Determine principal planes, principal stresses and maximum
circle as well as stress transformation  equations.
1.5.0 Analyze the state of stress of a material under load, using
experimental data obtained from strain gages.
2.0  BENDING
Instructional Goal:
To understand material behavior under a condition of pure bending.
Objectives:
2.1.0 Construct shear and moment diagrams for variously loaded and
supported beams.
2.2.0 Determine normal and shear stresses in pure bending of
beams in the elastic range.
2.3.0 Analyze stresses in the bending of beams made of several
materials, including reinforced concrete.
2.4.0 Determine the maximum deflection of a flexurally loaded beam
using several methods, including:
2.4.1  Integration of the differential equation of the elastic
curve.
2.4.2 Singularity functions
2.4.3 Method of superposition
3.0  TORSION
Instructional Goal:
To understand material behavior under a condition of pure torsion.
Objectives:
3.1.0 Calculate shear stress and strain distribution in solid and
3.2.0 Design shafts for various conditions of power transmission
and rotational speed.
4.0  COMBINED STRESSES
Instructional Goal:
Objectives:
4.1.0 Determine principal stresses, planes and maximum shear
stress under various combinations of axial, torsional,
bending, and shearing loads on structures.
4.2.0 Determine factors of safety under specific combined  stress
conditions on the basis of various failure theories,
including:
4.2.1 Maximum-Normal-Stress Theory
4.2.2 Maximum-Shear-Stress Theory
4.2.3 Maximum-Normal-Strain Theory
5.0  COLUMNS AND PRESSURE VESSELS
Instructional Goal:
To understand analytic methods used in connection with the structural
design of columns and pressure vessels.
Objectives:
5.1.0 Apply Euler's Formula to calculate axial buckling load  for
columns of varying end conditions and materials.
5.2.0 Apply thin-walled pressure vessel formulas to determine
transverse and longitudinal membrane stresses in vessels of
various configurations.
6.0  STATICALLY INDETERMINATE STRUCTURES
Instructional Goal:
To understand methods of analysis used in treating statically