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Dec 26, 2024
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MT 4001 - Advanced Mechanics3 lecture hours 0 lab hours 3 credits
Course Description
This course includes advanced topics in mechanics of materials and dynamics. Mechanics of materials topics include use of discontinuity functions to find beam deflections, analysis of statically indeterminate structures, impact loading, static and fatigue failure theories, and design for fatigue of shafts and threaded fasteners. Dynamics topics include velocity and acceleration analysis of mechanisms utilizing complex number analysis of vector loop equations. (prereq: MT 205 , MT 2601 , MT 2611 , MT 303 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• write equations for shear and bending moment in a beam using discontinuity functions
• integrate the moment equation of a beam to determine the slope and deflection at any location, using discontinuity functions
• solve statically indeterminate problems consisting of beams and/or axial rods, including problems involving temperature changes
• analyze simple structures subjected to impact loads
• calculate factors of safety for structures subjected to combined static loads, using appropriate failure criteria
• calculate factors of safety for structures subjected to fluctuating loads
• design shafts with the ASME design equation
• select threaded fasteners subjected to cyclic loading
• write the vector loop equation of a mechanism, using complex notation
• develop the simultaneous equations to solve for the unknowns in position, velocity, and acceleration analyses of mechanisms
• numerically solve for the unknowns in the position, velocity, and acceleration equations and interpret the results
Prerequisites by Topic
• Strength of materials, mechanical components, mechanisms, calculus-based dynamics
Course Topics
• Review of mechanics of materials topics (2 classes)
• Use of discontinuity functions to write shear and moment equations (2 classes)
• Calculation of beam deflections (2 classes)
• Statically indeterminate structures (4 classes)
• Impact loading (3 classes)
• Static failure criteria (2 classes)
• Fatigue failure criteria (4 classes)
• Shaft design (2 classes)
• Threaded fastener design (3 classes)
• Kinematics of mechanisms (4 classes)
• Examinations (2 classes)
Coordinator
Mohammad Mahinfalah
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