20222023 College Catalog [ARCHIVED CATALOG]

ENG 210  Engineering Mechanics: Statics 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods
Engineering analysis of static mechanical systems. Includes statics of particles, rigid bodies and equilibrium, distributed forces, analysis of structure, forces in beams and cables, friction, and moments of inertia.
Prerequisite(s): MAT 231 and PHY 210IN .
Course Learning Outcomes
 Demonstrate mastery to construct freebody diagrams for particles which are acted on by concurrent force systems.
 Demonstrate the ability to construct freebody diagrams of rigid boy and identify reactions for different types of supports.
 Demonstrate the ability to compute the forces in the members of statically determinate trusses using the method of joints and the method of sections.
 Demonstrate the ability to compute the forces and moments acting on the members of statically determinate frames and machines.
 Demonstrate the ability to compute the shear forces and bending moments in a beam and draw shear force and bending moment diagrams.
 Demonstrate the ability to compute the moment of inertia or second moment of area for complex cross sections.
Performance Objectives: 1. Apply the appropriate units of measurement to statics problems and check the dimensional integrity of their solutions.
2. Define force and moment vectors and obtain components and resultants.
3. Apply scalar and vector algebra to the principles of statics.
4. Construct freebody diagrams for bodies which are acted on by concurrent force systems.
5. Specify equilibrium equations and conditions in two and three dimensions.
6. Compute unknown forces, resultants, weights, angles, etc. for bodies which are acted on by concurrent force systems (2D or 3D) using ∑Fx=0, ∑Fy=0, and ∑Fz=0.
7. Compute the moment produced by a system of forces about a specified point for 2D problems.
8. Compute the moment produced by a system of forces about a specified point for 3D problems.
9. Compute the reaction forces and moments at supports and connections for statically determinate bodies using ∑Fx=0, ∑Fy=0 and ∑M=0.
10. Apply the principle of transmissibility to the conditions of equilibrium of a rigid body.
11. Compute the moment of force about given axis, which pass through the origin of chosen rectangular coordinates.
12. Compute the moment of force about given axis, which doesn’t pass through the origin of chosen rectangular coordinates.
13. Calculate the angle formed by two given vectors.
14. Apply properties of couples to solve the problems in statics.
15. Replace a force with an equivalent forcecouple system at a specified point.
16. Replace a force with a forcecouple system with a single equivalent force.
17. Move a forcecouple system from point A to point B.
18. Reduce a given force system to a single force.
19. Reduce a given force system to a wrench.
20. Construct freebody diagrams of rigid body; identify reactions for different type of supports.
21. Construct freebody diagrams for twoforce body and threeforce rigid bodies.
22. Compute the location of the centroid for complex areas using tabulated solutions for the centroids of simple areas (rectangles, semicircles, triangles, etc.); calculate the first moment of area.
23. Compute the location of the centroid of an area bounded by analytical curves.
24. Compute the resultant and line of action for a distributed force applied to a beam.
25. Compute the resultant of the pressure forces on submerged surfaces.
26. Compute the forces in the members of statically determinate trusses using the method of joints and the method of sections.
27. Compute the forces and moments acting on the members of statically determinate frames and machines.
28. Compute the shear forces and bending moments in a beam.
29. Draw shear force and bending moment diagrams.
30. Compute the friction forces; apply laws of dry friction.
31. Construct freebody diagrams for systems with friction forces.
32. Compute the moment of inertia or second moment of area (I) for complex cross sections using tabulated solutions for simple areas (rectangles, semicircles, triangles, etc.). Outline:
 Statics of Particles
 Force on a particle/resultant of two forces
 Vectors
 Addition of vectors
 Resultant of several concurrent forces
 Resolution of a force into components
 Rectangular components of force unit vectors
 Addition of forces by summing X and Y components
 Equilibrium of a particle
 Free body diagrams
 Rectangular components of a force in space
 Addition of concurrent forces in space
 Equilibrium of a particle in space
 Rigid Bodies: Equivalent Systems of Forces
 External and internal forces
 Principle of transmissibility
 Vector product of two vectors
 Vector products expressed in terms of rectangular components
 Moment of a force about a point
 Varignon’s theorem
 Rectangular components of the moment of a rorce
 Scalar product of two vectors
 Mixed triple product of three vectors
 Moment of a force about a given axis
 Moment of a couple
 Equivalent couples
 Addition of couples
 Reduction of a system of forces to one force and one couple
 Equivalent system of forces
 Further reduction of a system of forces
 Reduction of a system of forces to a wrench
 Equilibrium of Rigid Bodies
 Reactions at supports and connections for two dimensional structure
 Equilibrium of a rigid body in two dimensions
 Statically indeterminate reactions
 Equilibrium of a twoforce body
 Equilibrium of a threeforce body
 Equilibrium of a rigid body in three dimensions
 Reactions at supports and connections for three dimensional structure
 Distributed Forces: Centroids and Centers of Gravity
 Center of gravity of a two dimensional body
 Centroids of areas and lines
 First moments of areas and lines
 Centroids of composite plates and wires
 Centroids of areas bounded by analytical curves
 Theorems of PappusGuldinus
 Distributed loads on beams
 Forces on submerged surfaces
 Analysis of Structure
 Simple trusses
 Analysis of trusses by method of joints
 Analysis of trusses by method of sections
 Analysis of frames
 Analysis of frames with multiforce members
 Analysis of frames which cease to be rigid when detached from their supports
 Analysis of machines
 Forces in Beams and Cables
 Internal forces in members
 Beams: various types of loading and support
 Shear and bending moment in a beam
 Shear and bending moment diagrams
 Friction
 Dry friction/coefficients of friction
 Angles of friction
 Friction forces in wedges
 Moments of Inertia
 Moment of inertia of an area
 Moment of inertia of an area bounded by analytical curves
 Polar moment of inertia
 Radius of gyration of an area
 Parallelaxis theorem
