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Engineering - ENGR 301

Statics

• Define the concept of Mechanics.
• Introduce the fundamental concepts and principles.
• Introduce the systems of units.
• Explain the method of problem solution.
• Introduce static of particles.
• Analyze the forces in a plane:
• Forces 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 a force
• Unit vectors
• Addition of forces by summing x&y components
• Equilibrium of a particle
• Newton’s first law of motion
• Problems involving the equilibrium of a particle, free body diagrams
• Analyze the forces in space
• Rectangular components of a force in space
• Force defined by its magnitude and two points on its Line of Action
• Addition of concurrent forces in space
• Equilibrium of a particle in space
• Introduce rigid bodies
• Introduce external and internal forces
• Explain the principle of transmissibility and equivalent forces
• Analyze the vector products of two vectors.
• Derive the vector products expressed in terms of rectangular components.
• Disscuss the moments of a force about a point
• Discuss Varignon’s Theorem.
• Explain the rectangular components of the moments of force.
• Derive the scalar products of two vectors.
• Derive the mixed product of three vectors.
• Explain the moment of force about a given axis.
• Dermine the moment of couple, equivalent of couples, addition of couples.
• Solve the resolution of a given force into a Force at 0 and a Couple.
• Discuss the reduction of a system of forces to One Force and One Couple.
• Find the equivalent systems of forces.
• Find the equivalent systems of vectors.
• Determine the further reduction of a system of forces.
• Solve problems on the reduction of a system of forces to a wrench.
• Introduce the equilibrium of rigid bodies.
• Analyze the free body diagram
• Determine the equilibrium in two dimensions:
• Reaction at supports and conncections for a two dimensional structure
• Equilibrium of a rigid body in two dimensions.
• Statically indeterminate reactions. Partial Constraints.
• Equilibrium of a two-force body.
• Equilibrium of a three-force body.
• Determine the equilibrium in three dimensions:
• Equilibrium of a rigid body in three dimensions
• Reactions at supports and connections for three-dimension stucture.
• Introduce distributed forces
• Explain the areas and lines:
• Center of gravity of a two-dimensional body
• Centroids of area and lines
• First moments of area and lines
• Composite plates and wires
• Determination of centroids by integration
• Theorems of Pappus-Guldinus
• Distributed loads on beams
• Forces on submerged surfaces.
• Determining the volumes:
• Center of gravity of a three-dimensional body. Centroids of a volume
• Composite bodies
• Determination of centroids of volumes by integration
• Introduction of structures
• Analyze the trusses
• Definition of a truss
• Simple trusses
• Analyze trusses by the method of joints
• Joints under special loading conditions
• Space trusses
• Analyze trusses by the method of sections
• Trusses made of several simple trusses
• Analyze frames and machines
• Structures containing multiforce members
• Analyze a frame
• Frames which cease to be rigid when detached from their supports
• Machines
• Introduce the forces in beams and cables
• Determine the internal forces and members
• Explain the beams:
• Various types of loading and support
• Shear and bending moment in beam
• Shear and bending moment in diagrams
• Relations among load, shear, and bending moment.

• Explaining the cables
• Analyzing the cables with concentrated and distributed loads, parabolic cable, catenary.