Strength of Materials Part 2: Stress/Strain TSYH 1151

Upon successful completion, the student will be able to:

Module 1 - Friction

• State, define and discuss the basic concepts of friction.
• Use the coefficient of friction between two objects to calculate the frictional forces between those objects.
• Determine from first principles the rolling resistance between a wheel and a running surface.

Module 2 - Center of Gravity/Centroids

• State, define and illustrate by example the concepts of center of gravity and centroid of an area.
• Determine the center of gravity of a three-dimensional system of particles.
• Determine the center of gravity of a three-dimensional body.
• Determine the centroid of a cross-sectional area.
• Determine the centroid of a volume.

Module 3 - Moment of Inertia

• State, define and illustrate by example the basic concepts of area moment of inertia, radius of gyration and polar moment of inertia.
• Determine the moment of inertia, radius of gyration and polar moment of inertia of any regular geometric cross section.
• Determine the moment of inertia, radius of gyration and polar moment of inertia of composite standard structural sections.

Module 4 - Stress

• State, define and illustrate by example the basic equations for normal and shear stresses.
• Use the basic stress equations to solve problems involving the determination of normal and shear stresses in common practical examples.
• Expand a normal axial stress into normal and shear stresses acting on a plane inclined from the normal plane.

Module 5 - Strain

• State, define and illustrate by example the basic equations for normal and shear strain.
• State, define and illustrate by example Poisson's ratio.
• State, define and illustrate by example the relationships between stress, strain, modulus of elasticity and bulk modulus of elasticity.
• Solve problems involving the interplay between stress, strain and the elastic constants for a given material.

Module 6 - Basic Stress/Strain Applications

• State, define and illustrate by example the concepts of yield stress, ultimate stress and factor of safety.
• Determine the increase in stress due to a discontinuity in the base material.
• Calculate the stresses in thin-walled pressure vessels such as pipes and boilers given the internal pressures.
• Determine the deformation and, if applicable, the stress in a member subject to thermal expansion or contraction.
• Apply, in conjunction with the statical equations of equilibrium, the concepts of stress and strain to solve problems involving statically indeterminate axially loaded systems.

Module 7 - Torsion

• State, define and illustrate by example the concept of shear stress in a circular shaft subjected to a torque.
• Calculate the shear stresses developed in such a shaft.
• Calculate the angle of twist in a circular shaft subjected to a torque.
• Calculate the power transmitted through a shaft subjected to a torque.

Module 8 - Shear and Moment

• State, define and illustrate by example the concept of shear and bending moment in a member subject to transverse loading.
• Calculate the shear and moment on a freebody of a member.
• Write equations for the shear and moment at any point along a member subject to regular geometric distributed loading or point loadings.
• Draw the shear and moment diagrams for members subject to point loads or regular geometric loadings and determine the design shears and moments.

Module 9 - Flexural Stresses

• State, define and illustrate by example the concept of an internal flexural stress in a member subject to transverse loading.
• Calculate the flexural stress at any point in a member subject to transverse loading.
• Choose a member for structural adequacy in flexure given design stresses.

Module 10 - Shear Stress in Bending

• State, define and illustrate by example the concept of an internal shear stress in member subject to bending.
• Determine the shear stress at a point in a member subject to transverse loading.
• Choose a member for structural adequacy in shear given design stresses.
• Determine the shear flow at a point in a member and analyze simple connections transferring shear at that point.
• Discuss the concept of a shear center.

Module 11 - Combined Loadings

• Calculate the stresses acting on any inclined plane through any point in a member under load using Mohr's circle of plane stress.
• Calculate the effects of flexural and axial loads applied in combination.

Module 12 - Properties of Materials

• State, define and discuss the basic mechanical properties (i.e., ductility, yield point, ultimate strength, hardness, elasticity, creep, fatigue, etc.) of materials.
• Interpret laboratory data from standard tests to derive physical constants such as the modulus of elasticity, yield stress, modulus of rupture, etc., for selected construction materials.

Effective as of Fall 2003