- Course Number:
- ENGR 213
- Course Title:
- Strength of Materials
- Credit Hours:
- Lecture Hours:
- Lecture/Lab Hours:
- Lab Hours:
- Special Fee:
Course DescriptionRelationships 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
To understand the concepts of stress and strain and their use in the
analysis of structures.
1.1.0 Define stress and strain at a point under uniaxial and
general loading conditions.
1.2.0 Apply these concepts in the solution of problems involving
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
shear stress under given loading conditions using Mohr's
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.
To understand material behavior under a condition of pure bending.
2.1.0 Construct shear and moment diagrams for variously loaded and
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
2.4.2 Singularity functions
2.4.3 Method of superposition
To understand material behavior under a condition of pure torsion.
3.1.0 Calculate shear stress and strain distribution in solid and
hollow round members under torsional loading conditions.
3.2.0 Design shafts for various conditions of power transmission
and rotational speed.
4.0 COMBINED STRESSES
To analyze the effect of various loading combinations on a material.
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,
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
To understand analytic methods used in connection with the structural
design of columns and pressure vessels.
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
6.0 STATICALLY INDETERMINATE STRUCTURES
To understand methods of analysis used in treating statically
indeterminate loading conditions.
6.1.0 Apply the concept of geometric compatibility to analyze
structural problems involving:
a. Conditions of thermal stress
b. Redundant supports or members
7.0 COMPUTER APPLICATIONS
To integrate the use of the computer or programmable calculator into the
solution of strength of materials problems.
7.1.0 Demonstrate on selected homework assignments the ability to
solve strength of materials problems with a computer or