# 2020.02.25 EECQ 3251 LECTURE NOTES[2401].pdf - The...

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COURSE EECQ 3251 THEORY OF STRUCTURES IIB Prof. David O. Koteng January, 2020. The Technical University of Kenya School of Civil & Resource Engineering
1.1. COURSE CONTENT 1.1.1 Structural Dynamics. 1.1.2 Formulation of equations for single degree of freedom. 1.1.3 Undamped and damped systems. 1.1.4 Forced vibrations. 1.1.5 Multi-degree of freedom dynamics. 1.1.6 Introduction to Earthquake Engineering. 1. INTRODUCTION Course EECQ 3251 Theory of Structures IIB SLIDE No. 2
1.2. ASSESSMENT 1.2.1 Continuous Assessment Test (CAT) 2 hrs, 30% of total. 2 nd week of March 2020 during normal class hours. Q1 compulsory (30 marks/70) Q2 Q5 choice of any two questions each (20 marks/70). 1.2.2 Final examination as will be informed, 2 hrs, 70 marks total. Q1 compulsory (30 marks/70) Q2 Q5 choice of any two questions each (20 marks/70). Important to note: Carry all your requirements for the exams as there will be no borrowing of items during examination. Prepare to sit in for exam without leaving room during examination. Circumstances for absence from any exam must be notified to the Director’s office in writing with supporting documents. Burial of relatives during scheduled exams may not convince the Examination Board as valid reason for absence. 1. INTRODUCTION Course EECQ 3251 Theory of Structures IIB SLIDE No. 3
1.3. TYPES OF STRUCTURAL PROBLEMS. 1.3.1 Fixed force magnitude, fixed force position. Analysis by statical methods: ƩH = 0, ƩV = 0, ƩM = 0 1. INTRODUCTION Course EECQ 3251 Theory of Structures IIB SLIDE No. 4
1.3.2 Fixed force magnitude, changing force position. Analysis by influence lines. Maximum bending moment and shear force envelopes. 1. INTRODUCTION Course EECQ 3251 Theory of Structures IIB SLIDE No. 5
1.3.3 Changing force magnitude, fixed force position. Analysis by dynamic methods. Of interest are: Natural frequency of vibrating system. Frequency (rate) of vibration. Amplitude (amount of sway from position of rest) of vibration, etc. 1. INTRODUCTION Course EECQ 3251 Theory of Structures IIB SLIDE No. 6
1.4. DEFINITIONS. (i). Lumped mass , m, refers to the total mass of vibrating components applied at the centroid of the system (kg). (ii). Stiffness of the system, k, is the force which causes a unit deflection in the direction of motion at static conditions (N/m). (iii). Displacement , x, is the position of the lumped mass from the position of rest at any given moment (m). (iv). Amplitude , A, is the maximum displacement of the lumped mass from the position of rest (m). (v). Frequency , f, is the number of complete movements of the lumped mass from the position of rest to the furthest point in the positive direction, then to the furthest point in the opposite (negative) direction, and back to the position of rests in a unit of time (Hz or cps). 1. INTRODUCTION Course EECQ 3251 Theory of Structures IIB SLIDE No. 7
(vi). Angular frequency , ω , is the number of complete movements of the lumped mass from the position of rest to the furthest point in the positive direction, then to the furthest point in the opposite (negative) direction, and back to the