Dr GATHIMBA EDUCATION CENTER

  JOMO KENYATTA UNIVERSITY OF AGRICULTURE AND TECHNOLOGY UNIVERSITY EXAMINATIONS 2020/2021 FOURTH YEAR SECOND SEMESTER EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE IN CIVIL ENGINEERING ECE 2416 – THEORY OF STRUCTURES VI (STRUCTURAL DYNAMICS) DATE: 10 FEBRUARY 2021                                                    TIME:   2 HRS Instructions to candidates Attempt any THREE questions Scientific non-programmable calculator is allowed during this examination. Use of mobile phones is prohibited. As such all phones MUST BE SWITCHED OFF! QUESTION ONE (20 MARKS) a)     An undamped SDoF dynamic system having a mass of 20 kg and a spring stiffness of 35 N/mm is given an initial displacement of 10 mm and initial velocity of 100 mm/s. Obtain   ...

  JOMO KENYATTA UNIVERSITY OF AGRICULTURE AND TECHNOLOGY ASSIGNMENT 1 FOR FOURTH YEAR SECOND SEMESTER BACHELOR OF SCIENCE IN CIVIL ENGINEERING ECE 2416 – THEORY OF STRUCTURES VI (STRUCTURAL DYNAMICS) INSTRUCTIONS §   Attempt ALL questions §   Work in groups of 5 students (Each student to attempt 1 question and then compile your work into a single report per group) §   Submission deadline: Wednesday 10/12/2021 on or before 1.00 PM   1.     The undamped SDOF system of Fig. 1 a is subjected to the half sine­-wave loading of Fig. 1 b . Calculate the displacement and spring force history for the time 0 < t < 0.6 sec by numerical evaluation of the Duhamel integral with a time interval of 0.1 sec.  Fig. 1 2.   Demonstrate, starting from basic principles, that the equation of motion expressed with reference to the static equilibrium position of the dynamic system is not affected by gravity forces. 3.  ...