CET 192 - Statics

1. Identify and analyze a planar concurrent force system
   1. Use vectors to represent forces.
   2. Determine the rectangular components of a force.
   3. Determine the resultant of 2 or more planar concurrent forces by rectangular components
2. Apply equilibrium conditions to a planar concurrent force system.
   1. State the equilibrium conditions
   2. Sketch the proper free body diagram
   3. Apply the equilibrium conditions to a planar concurrent force system to determine unknown forces or orientations
3. Identify and analyze a planar nonconcurrent force system.
   1. Demonstrate a knowledge of the principle of transmissibility and the Theorem of Moments
   2. Determine the magnitude and location of the resultant of a distributed load.
   3. Determine the resultant of 2 or more planar nonconcurrent forces.
4. Apply equilibrium conditions to a planar nonconcurrent force system
   1. Identify the proper support conditions for a structure.
   2. Sketch a proper free body diagram for a structure.
   3. State the equilibrium conditions
   4. Apply the equilibrium conditions to a structure, subjected to a planar nonconcurrent force system, to determine unknown forces, locations, or orientations
5. Apply equilibrium conditions to simple plane trusses
   1. Discuss the assumptions used in the development of the model of a plane truss.
   2. Determine the internal force within a truss member by sue of the Method of Joints
   3. Determine the internal force within a truss member by use of the Method of Sections
6. Calculate the centroid location and moments of inertia for planar composite areas and simple structural cross sections
   1. Discuss the concept of the centroid of a plane area
   2. Discuss the concept of a composite area
   3. Calculate the location of the centroid of a composite area.
   4. Demonstrate the use of tables in the determination of the centroid of a structural cross section
   5. Discuss the concept of an area moment of inertia
   6. Demonstrate a knowledge of the Parallel Axis Theorem by the proper calculation of the moment of inertia of a composite area or a structural cross section.
7. Identify and calculate normal and shear stresses in an axially loaded member.
   1. Discuss the concepts of normal stress, shear stress, and bearing stress
   2. Calculate normal stress, shear stress, and bearing stress within an axially loaded member
   3. Explain the concepts of allowable stress and factor or safety
   4. Use allowable stress and factor of safety in the calculation of stresses within an axially loaded member
8. Identify and calculate normal strain in an axially loaded member.
   1. Discuss the concept of normal strain
   2. Explain tension tests, compression tests, and stress-strain diagrams.
   3. Demonstrate a knowledge of Hooke?s Law through proper stress, strain, or deformation calculations
   4. Calculate thermal deformations, strains, and stresses
9. Construct a shear force diagram and a bending moment diagram for a beam.
   1. Identify the various types of beams and applied loads
   2. Discuss internal shear force and internal bending moment in beams.
   3. Demonstrate a knowledge of the relation between applied loads, internal shear force, and internal bending moment by the construction of a proper shear diagram and a proper bending moment diagram
10. Identify, calculate, and locate the bending stress and the shear stress in a beam.
    1. Discuss the distribution of bending stress within a beam cross section.
    2. Demonstrate a knowledge of the flexure formula by the determination of the bending stress at a specified point within a beam
    3. Determine the magnitude and location of the maximum tensile bending stress within a beam and the maximum compressive bending stress within a beam.
    4. Discuss the distribution of shear stress within a beam cross section.
    5. Demonstrate a knowledge of the shear stress formula by the determination of the shear stress at a specified point within a beam
    6. Determine the magnitude and location of the maximum shear stress within a beam
11. Calculate the amount of deflection of a beam due to bending.
    1. Use tabulated formulas and the concept of superposition to calculate the maximum deflection of a loaded beam
    2. Determine if deflection exceeds code requirements.
12. Identify and analyze lateral buckling of an axially loaded column.
    1. Determine the Euler buckling load or critical stress for an axially loaded column.
    2. Discuss end conditions and lateral bracing of columns