Course Syllabus

Strength of Materials - MCT 221

Credits and Contact Hrs. (Lecture/Laboratory): 3 credit hrs., Contact 150 minutes per wk.

Course Description: Analysis and design of load-carrying members considering stress, strain and deflection. Study of direct tension, compression and shear; torsion; shear and moment diagrams; bending; combined stress; analysis of columns; pressure vessels.

Prerequisites: MCT 215 or MCT 220, SET 153, 210

• Understanding of statics; forces, vectors and free body diagrams.
• Ability to program a computer in a high level language and/or spreadsheets.
• Understanding of the basic concepts of differential and integral calculus.

Co-Requisites: None

Textbook: Robert L. Mott, APPLIED STRENGTH OF MATERIALS, Prentice-Hall Publs. Co.

Reference(s):Coordinator: Robert Mott, Professor of Mechanical Engineering Technology

Goals/Objectives:

1. To apply the principles of statics to determine the forces acting on load carrying members.
2. To analyze the stresses in load carrying members due to direct axial tensile and compressive forces, bearing forces, torsional moments, bending moments, and shear forces.
3. To determine the deflection of load carrying members due to axial loads, torsional moments, and bending moments.
4. To analyze the combined stressed due to axial forces, bending moments, and torsional moments acting together.
5. To apply the principles of strength of materials to design load carrying members of machines and structures to insure safety and adherence to performance standards.

Upon completion of this course the student will be able to:

1. Define stress and strain.
2. Compute the stress in a member carrying axial tensile or compressive loads.
3. Compute strain and deformation in members carrying axial loads.
4. Compute thermal stresses and deformation.
5. Determine suitable design stresses for load carrying members.
6. Design axially loaded members.
7. Compute direct shear stress.
8. Compute bearing stress.
9. Compute torsional shear stress and deformation.
10. Apply the principle of torsional shear stress to design shafts.
11. Compute the centroid and moment of inertia of areas having shapes commonly found in beams and columns.
12. Compute the stress due to bending in beams.
13. Define section modulus and use it to determine the required dimensions for a beam.
14. Define flexural center and compute its location.
15. Consider stress concentrations in stress analysis.
16. Compute the shear stress in beams.
17. Compute the combined stress in a member due to axial forces and bending moments acting together.
18. Compute the combined stress in a member due to normal and shear stress acting together.
19. Compute the deflection of beams due to a variety of loading and support conditions using formulas, superposition, and the double integration method.
20. Compute the stress in thin-walled and thick-walled pressure vessels due to internal pressure.
21. Recognize statically indeterminate beams.
22. Compute the critical load on columns.

Course topics and lecture hours devoted to each topic:

1. Introduction, concepts of stress and strain, English and S.I. systems for units, conversion of units. (2.5 hrs.)
2. Study of engineering properties of commonly used metals, plastics concrete, wood. (1.25 hrs.)
3. Direct tensile and compressive stresses, stress concentrations, design stresses. (3.75 hrs.)
4. Elastic deformation of tension and compression members, due to temperature changes, thermal stresses, composite structural members. (1.25 hrs.)
5. Study of members loaded in torsion, stresses and stress concentration, solid versus hollow shafts, determination of elastic twist. (2.5 hrs.)
6. Study of beams, beam loadings, shear in beams, bending moments in beams. (2.5 hrs.)
7. Determination of centroids for simple and complex shapes, determination of structural moment of inertia for various cross-sections of beams. (1.25 hrs.)
8. Study of stresses due to bending, effects of stress concentrations, determination of shear center. (2.5 hrs.)
9. Shearing stresses in beams, both general formula and special forms, importance of shear, shear flow. (2.5 hrs.)
10. Special cases of combined stress, normal, bending and torsion. (3.75 hrs.)
11. Deflection of beams by use of standard formulas and superposition. (2.5 hrs.)
12. Statically Indeterminate Beams. (1.25 hrs.)
13. Columns. (1.25 hrs.)
14. Pressure Vessels. (1.25 hrs.)
15. Tests (5 class hrs. plus final)

Computer usage: At least one computer program will be assigned where the student will be required to use a high level language to solve a problem related to the strength of materials. This could be the determination of the deflected shape of a general cantilever beam loaded with point forces.

Laboratory projects: Concepts from this course will be experimentally determined/verified in MCT 333L

Oral and written communication requirements: The computer project will require an associated written report, which develops the background and assists the user with operational tasks.

Calculus usage: The development of shear, bending moment and deflection equations for bending beams uses the concepts of integral calculus. Also, sectional properties, such as moment of inertia build on concepts from integral calculus. Although a derivation approach is not taken, students must understand the principles.

Library usage: Limited.